Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
364 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 129 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×#10625075 | C2 | semidirect |
| 2. #13092858 | C2 | semidirect |
| 3. #13092857 | C2 | semidirect |
| 4. #13092853 | C2 | semidirect |
| 5. #13092852 | C2 | semidirect |
| 6. #13092847 | C2 | semidirect |
| 7. C2×#10624994 | C2 | semidirect |
| 8. C2×C23×#135 | C2 | semidirect |
| 14. C23×#135 | C22 | semidirect |
| 15. C2×Q16×C23 | C22 | semidirect |
| 17. C2×D8×C23 | C22 | semidirect |
| 19. C2×Dic92 | C22 | semidirect |
| 23. #10625075 | C22 | semidirect |
| 24. C2×D184 | C22 | semidirect |
| 26. #10625011 | C22 | semidirect |
| 27. #10625010 | C22 | semidirect |
| 28. #10625009 | C22 | semidirect |
| 29. #10625008 | C22 | semidirect |
| 30. #10624994 | C22 | semidirect |
| 31. #10624994 | C22 | semidirect |
| 32. C2×C23⋊C16 | C22 | semidirect |
| 116. C2×#135 | D23 | semidirect |
| 138. #135 | C2×D23 | semidirect |
| 140. C2×Q16 | C2×D23 | semidirect |
| 144. C2×D8 | C2×D23 | semidirect |
| 153. C23 | #3414 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625075 | 2 |
| #13092858 | 2 |
| #13092857 | 2 |
| #13092853 | 2 |
| #13092852 | 2 |
| #13092847 | 2 |
| C2×#10624994 | 2 |
| C2×C23×#135 | 2 |
| #3414 | 23 |