Finite Group DatabasebetaFinite Group DatabasebetaOrder 37952.
262 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 107 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#23748733 | C2 | semidirect |
| 2. #34039316 | C2 | semidirect |
| 3. #34039315 | C2 | semidirect |
| 4. #34039311 | C2 | semidirect |
| 5. #34039310 | C2 | semidirect |
| 6. #34039305 | C2 | semidirect |
| 7. C2×#23748717 | C2 | semidirect |
| 8. C2×#41×C593 | C2 | semidirect |
| 12. #23748733 | C22 | semidirect |
| 13. C2×Dic1186 | C22 | semidirect |
| 14. C2×D2372 | C22 | semidirect |
| 17. #23748723 | C22 | semidirect |
| 18. #23748721 | C22 | semidirect |
| 19. #23748720 | C22 | semidirect |
| 20. #23748718 | C22 | semidirect |
| 21. #23748717 | C22 | semidirect |
| 22. #23748717 | C22 | semidirect |
| 23. C2×#18011654 | C22 | semidirect |
| 27. #41×C593 | C22 | semidirect |
| 28. C2×Q8×C593 | C22 | semidirect |
| 30. C2×D4×C593 | C22 | semidirect |
| 81. C593 | #575 | semidirect |
| 84. C2×#41 | D593 | semidirect |
| 98. #41 | C2×D593 | semidirect |
| 100. C2×Q8 | C2×D593 | semidirect |
| 104. C2×D4 | C2×D593 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#23748733 | 2 |
| #34039316 | 2 |
| #34039315 | 2 |
| #34039311 | 2 |
| #34039310 | 2 |
| #34039305 | 2 |
| C2×#23748717 | 2 |
| C2×#41×C593 | 2 |
| #575 | 593 |