Finite Group DatabasebetaFinite Group DatabasebetaOrder 37952.
262 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 99 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. #41×D593 | C2 | semidirect |
| 2. #34039317 | C2 | semidirect |
| 3. #34039314 | C2 | semidirect |
| 4. #34039312 | C2 | semidirect |
| 5. #34039309 | C2 | semidirect |
| 6. #34039307 | C2 | semidirect |
| 7. #34039305 | C2 | semidirect |
| 8. C2×#23748716 | C2 | semidirect |
| 9. #135×C593 | C2 | semidirect |
| 12. #23748733 | C22 | semidirect |
| 15. Q8×D593 | C22 | semidirect |
| 17. D4×D593 | C22 | semidirect |
| 20. Dic2372 | C22 | semidirect |
| 21. #23748723 | C22 | semidirect |
| 22. #23748722 | C22 | semidirect |
| 23. #23748721 | C22 | semidirect |
| 24. #23748720 | C22 | semidirect |
| 25. D4744 | C22 | semidirect |
| 26. #23748718 | C22 | semidirect |
| 27. #23748716 | C22 | semidirect |
| 28. #23748716 | C22 | semidirect |
| 29. C2×#18011654 | C22 | semidirect |
| 30. #41×C593 | C22 | semidirect |
| 31. Q16×C593 | C22 | semidirect |
| 32. SD16×C593 | C22 | semidirect |
| 33. D8×C593 | C22 | semidirect |
| 34. C2×C8×C593 | C22 | semidirect |
| 75. C593 | #575 | semidirect |
| 84. #135 | D593 | semidirect |
| 91. #41 | C2×D593 | semidirect |
| 99. Q16 | C2×D593 | semidirect |
| 103. SD16 | C2×D593 | semidirect |
| 106. D8 | C2×D593 | semidirect |
| 110. C2×C8 | C2×D593 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #41×D593 | 2 |
| #34039317 | 2 |
| #34039314 | 2 |
| #34039312 | 2 |
| #34039309 | 2 |
| #34039307 | 2 |
| #34039305 | 2 |
| C2×#23748716 | 2 |
| #135×C593 | 2 |
| #575 | 593 |