| Class | # isomorphism classes | date | machine | character tables |
| 1 | 1 | -- | -- | -- |
| 2 | (classified) | |||
| 3 | ||||
| 4 | (21 days on Core i7-8700K 2018/07) | |||
| 5 | (21 days on Core i7-8700K 2018/07) | |||
| 6 | (2 months on Core i7-3970X 2013/03) | |||
| 7 | 372 | (2009/06/30) | (Core2Quad:090628) | computed |
| 8 | (7 days on Core i7-3970X 2012/12) | |||
| 9 | 143 | (2009/06/30) | (Core2Quad:090628) | computed |
| 10 | 46 | (2009/06/30) | (Core2Quad:090628) | computed |
| 11 | 116 | (2009/06/30) | (Core2Quad:090628) | computed |
| 12 | (2 months on Core i7-3970X 2013/03) | |||
| 13 | 92 | (2009/08/08) | (Core2Quad:090723) | computed |
| 14 | 21 | (2009/08/08) | (Core2Quad:090723) | computed |
| 15 | 88 | (2009/08/08) | (Core2Quad:090723) | computed |
| 16 | 28 | (2009/08/08) | (Core2Quad:090723) | computed |
| 17 | 18 | (2009/08/08) | (Core2Quad:090723) | computed |
| 18 | 5 | (2009/08/08) | (Core2Quad:090723) | computed |
| 19 | 10 | (2009/08/09) | (Core2Quad:090723) | computed |
| 20 | 14 | (2009/07/01) | (Core2Quad:090628) | computed |
| 21 | 34 | (2009/07/02) | (Core2Quad:090628) | computed |
| 22 | 0 | (2009/08/21) | (Core2Quad:090723) | -- |
| 23 | 49 | 2009/10/20 | Core2Quad:090723 | computed |
| 24 | 13 | (2009/08/03) | (Core2Quad:090723) | computed |
| 25 -- 28 | 0 | (2009/08/03) | (Core2Quad:090723) | -- |
| 29 | 12 | (2009/08/06) | (Core2Quad:090723) | computed |
| 30 -- 38 | 0 | (2009/08/06) | (Core2Quad:090723) | -- |
| 39 (thin) | 14 | -- | -- | -- |
| Class | # isomorphism classes | date | machine |
| 1 | 1 | -- | -- |
| 2 | difficult | ||
| 4 | difficult | ||
| 5 | difficult | ||
| 8 | 1 (Schurian) | -- | -- |
| 10 | 1 (Schurian) | -- | -- |
| 20 | 1 (Schurian) | -- | -- |
| 40 (thin) | 1 | -- | -- |
| Class | # isomorphism classes | date | machine | character tables |
| 1 | 1 | -- | -- | -- |
| 2 | 6 | SRG on (prime + 1) points | ||
| 3 | ||||
| 4 | ||||
| 5 | ||||
| 6 | (2 months on Core i7-3970X 2013/05) | |||
| 7 | 30 | (2009/08/22) | (Core2Quad:090723) | computed |
| 8 | 22 | (2009/08/22) | (Core2Quad:090723) | computed |
| 9 | (2 mounths on Core i7-3970X 2013/05) | |||
| 10 | 0 | (2009/07/17) | (Core2Quad:090714) | -- |
| 11 | 27 | (2009/07/18) | (Core2Quad:090714) | computed |
| 12 | 6 | (2009/07/18) | (Core2Quad:090714) | computed |
| 13 | 1 | (2009/07/18) | (Core2Quad:090714) | computed |
| 14 | 15 | (2009/07/18) | (Core2Quad:090714) | computed |
| 15 | 16 | (2009/07/18) | (Core2Quad:090714) | computed |
| 16 | 0 | (2009/07/18) | (Core2Quad:090714) | -- |
| 17 | 12 | (2009/07/18) | (Core2Quad:090714) | computed |
| 18 -- 19 | 0 | (2009/07/18) | (Core2Quad:090714) | -- |
| 20 | 3 | (2009/07/19) | (Core2Quad:090714) | computed |
| 21 | 6 | 2009/09/04 | Core2Quad:090723 | computed |
| 22 | 0 | (2009/07/15) | (Core2Duo:090714) | -- |
| 23 | 9 | 2009/07/15 | Core2Duo:090714 | computed |
| 24 -- 26 | 0 | (2009/07/15) | (Core2Duo:090714) | -- |
| 27 | 6 | (2009/07/15) | (Core2Duo:090714) | computed |
| 28 -- 40 | 0 | (2009/07/15) | (Core2Duo:090714) | -- |
| 41 (thin) | 6 | -- | -- | -- |
| Class | # isomorphism classes | date | machine |
| 1 | 1 | -- | -- |
| 2 | difficult | ||
| 3 | |||
| 6 | 1 (Schurian) | (2009/06/28) | (Core2Quad:090628) |
| 7 | 1 (Schurian) | 2005/09/08 | light |
| 14 | 1 (Schurian) | (2009/07/06) | (Core2Quad:090703) |
| 21 | 1 (Schurian) | (2009/09/25) | (Core2Quad:090723) |
| 42 (thin) | 1 | -- | -- |
| Class | # isomorphism classes | date | machine | character tables |
| 1 | 1 | -- | -- | -- |
| 2 | 4 | SRG on (prime + 1) points | ||
| 3 | ||||
| 4 | ||||
| 5 | (1 hour on light 2005/6) | |||
| 6 | (6 hours on light 2005/6) | |||
| 7 | (2 months on Core i7--3970X 2013/05) | |||
| 8 | 8 | (2009/07/26) | (Core2Duo:090714) | computed |
| 9 -- 10 | 0 | (2009/07/26) | (Core2Duo:090714) | -- |
| 11 | 7 | (2009/07/21) | (Core2Duo:090714) | computed |
| 12 | 5 | (2009/07/21) | (Core2Duo:090714) | computed |
| 13 | 8 | (2009/07/22) | (Core2Duo:090714) | computed |
| 14 | 0 | (2009/07/22) | (Core2Duo:090714) | -- |
| 15 | 1 | (2009/07/23) | (Core2Duo:090714) | computed |
| 16 | 0 | (2009/07/23) | (Core2Duo:090714) | -- |
| 17 | 1 | (2009/07/23) | (Core2Duo:090714) | computed |
| 18 | 0 | (2009/07/23) | (Core2Duo:090714) | -- |
| 19 | 1 | (2009/07/23) | (Core2Duo:090714) | computed |
| 20 | 0 | -- | -- | -- |
| 21 | 1 | 2009/11/05 | Core2Quad:090723 | computed |
| 22 | 6 | 2009/11/05 | Core2Quad:090723 | computed |
| 23 | 10 | 2009/11/06 | Core2Quad:090723 | computed |
| 24 -- 31 | 0 | (2009/07/26) | (Core2Duo:090714) | -- |
| 32 | 2 | (2009/07/26) | (Core2Duo:090714) | computed |
| 33 -- 42 | 0 | (2009/07/26) | (Core2Duo:090714) | -- |
| 43 (thin) | 4 | -- | -- | -- |
| Class | # isomorphism classes | date | machine | character tables |
| 1 | 1 | -- | -- | -- |
| 2 | ||||
| 3 | ||||
| 4 | ||||
| 5 | ||||
| 6 | ||||
| 7 | difficult ! | |||
| 8 | 30 | 2009/09/08 | Core2Quad:090723 | computed |
| 9 | 25 | 2009/09/07 | Core2Quad:090723 | computed |
| 10 | 16 | (2009/09/06) | (Core2Quad:090723) | computed |
| 11 | (20 days on Core2Quad 2009/12) | |||
| 12 | 16 | (2009/07/09) | (Core2Quad:090708) | computed |
| 13 | 7 | (2009/07/09) | (Core2Quad:090708) | computed |
| 14 | 10 | (2009/07/09) | (Core2Quad:090708) | computed |
| 15 | 3 | (2009/07/09) | (Core2Quad:090708) | computed |
| 16 | 3 | (2009/07/09) | (Core2Quad:090708) | computed |
| 17 | 6 | (2009/07/09) | (Core2Quad:090708) | computed |
| 18 | 0 | (2009/07/10) | (Core2Quad:090708) | -- |
| 19 | 3 | (2009/07/10) | (Core2Quad:090708) | computed |
| 20 | 5 | (2009/07/10) | (Core2Quad:090708) | computed |
| 21 | 0 | (2009/07/10) | (Core2Quad:090708) | -- |
| 22 | 2 | 2018/03/24 | ||
| 23 | 1 | (2009/07/15) | (Core2Quad:090708) | computed |
| 24 | 3 | (2009/07/16) | (Core2Quad:090708) | computed |
| 25 | 0 | (2009/07/16) | (Core2Quad:090708) | -- |
| 26 | 2 | 2018/03/11 | ||
| 27 -- 28 | 0 | (2009/09/02) | (Core2Quad:090723) | -- |
| 29 | 1 | 2018/03/11 | ||
| 30 -- 43 | 0 | (2009/09/02) | (Core2Quad:090723) | -- |
| 44 (thin) | 2 | -- | -- | -- |
| Class | # isomorphism classes | date | machine | character tables |
| 1 | 1 | -- | -- | -- |
| 2 | ||||
| 3 | ||||
| 4 | ||||
| 5 | ||||
| 6 | 0 | 2011/06/12 | (Core i3:090723) | --- |
| 7 | 0 | 2011/06/12 | (Core i3:090723) | --- |
| 8 | 0 | 2011/06/12 | (Core i3:090723) | --- |
| 9 | (7 days on Core i7-3970X 2012/12) | |||
| 10 -- 11 | 0 | (2009/09/02) | (Core2Quad:090723) | -- |
| 12 | 2 | (2009/09/02) | (Core2Quad:090723) | computed |
| 13 | 0 | (2009/09/02) | (Core2Quad:090723) | -- |
| 14 | 0 | (2009/07/13) | (Core2Duo:090708) | -- |
| 15 | (20 days on Core2Quad 2009/12) | |||
| 16 -- 20 | 0 | (2009/07/13) | (Core2Duo:090708) | -- |
| 21 | 0 | 2009/11/09 | Core2Quad:090723 | -- |
| 22 | 0 | 2012/12/11 | Core i7-3970X | -- |
| 23 | (10 days on light 2005/7) | |||
| 24 -- 44 | 0 | (2009/08/29) | (Core2Quad:090723) | -- |
| 45 (thin) | 2 | -- | -- | -- |
| Class | # isomorphism classes | date | machine |
| 1 | 1 | -- | -- |
| 2 | difficult ! [Non-symmetric, AIso to Schurian] | ||
| 23 | 1 (Schurian) | -- | -- |
| 46 (thin) | 1 | -- | -- |
| Class | # isomorphism classes | date | machine | character tables |
| 1 | 1 | -- | -- | -- |
| 2 | 8 | SRG on (prime + 1) points | ||
| 3 | ||||
| 4 | ||||
| 5 | ||||
| 6 | ||||
| 7 | ||||
| 8 | ||||
| 9 | (1 day on kissme, 2008/07) | |||
| 10 | (14 days on Core i7-8700K 2018/06) | |||
| 11 | (14 days on Core i7-8700K 2018/06) | |||
| 12 | (14 days on Core i7-8700K 2018/06) | |||
| 13 | (14 days on Core i7-8700K 2018/06) | |||
| 14 | (14 days on Core i7-8700K 2018/06) | |||
| 15 | (14 days on Core i7-8700K 2018/06) | |||
| 16 | (14 days on Core i7-8700K 2018/06) | |||
| 17 | (14 days on Core i7-8700K 2018/06) | |||
| 18 | 287 | (2009/07/02) | (Core2Duo:090628) | computed |
| 19 | 1590 | (2010/01/02) | (Core2Quad:090723) | computed |
| 20 | 209 | (2010/01/07) | (Core2Quad:090723) | computed |
| 21 | 516 | (2010/01/23) | (Core2Quad:090723) | computed |
| 22 | 4 | (2010/02/02) | (Core2Quad:090723) | computed |
| 23 | 589 | 2010/02/01 | Core2Quad:090723 | computed |
| 24 | 34 | (2010/02/28) | (Core2Quad:090723) | computed |
| 25 | 185 | 2010/04/05 | Core2Quad:090723 | computed |
| 26 | 45 | (2009/09/09) | (Core2Quad:090723) | computed |
| 27 | ||||
| 28 | 0 | (2009/08/29) | (Core2Quad:090723) | -- |
| 29 | ||||
| 30 | 0 | (2009/08/29) | (Core2Quad:090723) | -- |
| 31 | ||||
| 32 -- 34 | 0 | (2009/08/29) | (Core2Quad:090723) | -- |
| 35 | ||||
| 36 -- 46 | 0 | (2009/08/29) | (Core2Quad:090723) | -- |
| 47 (thin) | 52 | -- | -- | -- |
| Class | # isomorphism classes | date | machine | character tables |
| 1 | 1 | -- | -- | -- |
| 2 | ||||
| 3 | ||||
| 4 | ||||
| 5 | ||||
| 6 | ||||
| 7 | (6 hours on kissme) | |||
| 8 | (12 hours on kissme) | |||
| 9 | 5 | (2009/07/23) | (Core2Quad:090714) | computed |
| 10 | 1 | (2009/07/22) | (Core2Quad:090714) | computed |
| 11 | (2 days on kissme) | |||
| 12 | (1 month 2018/02) | |||
| 13 | 1 | 2009/07/26 | Core2Quad:090714 | computed |
| 14 | 0 | (2009/07/26) | (Core2Quad:090714) | -- |
| 15 | ||||
| 16 | (1 month 2018/02) | |||
| 17 -- 19 | 0 | (2009/07/16) | (Core2Quad:090714) | -- |
| 20 | 1 | (2009/07/26) | (Core2Quad:090714) | computed |
| 21 | 0 | (2009/07/26) | (Core2Quad:090714) | -- |
| 22 | 0 | 2010/09/02 | Core2Quad:090723 | -- |
| 23 | 0 | 2010/09/03 | Core2Quad:090723 | -- |
| 24 | 2 | 2010/09/03 | Core2Quad:090723 | computed |
| 25 -- 26 | 0 | (2009/07/16) | (Core2Quad:090714) | -- |
| 27 | 1 | 2010/09/04 | Core2Quad:090723 | computed |
| 28 -- 47 | 0 | (2009/08/29) | (Core2Quad:090723) | -- |
| 48 (thin) | 2 | -- | -- |