Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
462 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 125 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. #13093127 | C2 | semidirect |
| 3. #13092764 | C2 | semidirect |
| 4. #13092737 | C2 | semidirect |
| 5. #13092707 | C2 | semidirect |
| 6. #13092649 | C2 | semidirect |
| 7. #13092617 | C2 | semidirect |
| 8. #13092566 | C2 | semidirect |
| 9. C8×D92 | C2 | semidirect |
| 10. #102×D23 | C2 | semidirect |
| 11. C4×SD16×C23 | C2 | semidirect |
| 15. C4×Q8×C23 | C22 | semidirect |
| 17. #10625117 | C22 | semidirect |
| 18. C2×#67274 | C22 | semidirect |
| 20. C2×C8×D23 | C22 | semidirect |
| 23. C4⋊C4×D23 | C22 | semidirect |
| 29. #10625040 | C22 | semidirect |
| 30. C23×#106 | C22 | semidirect |
| 31. C23×#103 | C22 | semidirect |
| 33. C4×C8×C23 | C22 | semidirect |
| 35. #10625003 | C22 | semidirect |
| 36. #10625003 | C22 | semidirect |
| 37. (C2×D23)⋊C8 | C22 | semidirect |
| 38. #10624991 | C22 | semidirect |
| 39. #10624990 | C22 | semidirect |
| 40. C4⋊(C23⋊C8) | C22 | semidirect |
| 102. D92 | SD16 | semidirect |
| 139. C4×SD16 | D23 | semidirect |
| 161. C4×Q8 | C2×D23 | semidirect |
| 167. #106 | C2×D23 | semidirect |
| 169. #103 | C2×D23 | semidirect |
| 176. C4×C8 | C2×D23 | semidirect |
| 177. C23 | #3295 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093127 | 2 |
| D4×D92 | 2 |
| #13092764 | 2 |
| #13092737 | 2 |
| #13092707 | 2 |
| #13092649 | 2 |
| #13092617 | 2 |
| #13092566 | 2 |
| C8×D92 | 2 |
| #102×D23 | 2 |
| C4×SD16×C23 | 2 |
| #3295 | 23 |