Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
494 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 494 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. #13093072 | C2 | semidirect |
| 2. D4×D92 | C2 | semidirect |
| 3. #13092764 | C2 | semidirect |
| 4. #13092732 | C2 | semidirect |
| 5. #13092697 | C2 | semidirect |
| 6. #13092652 | C2 | semidirect |
| 7. #13092612 | C2 | semidirect |
| 8. #13092549 | C2 | semidirect |
| 9. C8×D92 | C2 | semidirect |
| 10. #102×D23 | C2 | semidirect |
| 11. C4×D8×C23 | C2 | semidirect |
| 17. C4×D4×C23 | C22 | semidirect |
| 18. #10625109 | C22 | semidirect |
| 19. C2×#67272 | C22 | semidirect |
| 22. C2×C8×D23 | C22 | semidirect |
| 24. C4⋊C4×D23 | C22 | semidirect |
| 29. #10625040 | C22 | semidirect |
| 30. C23×#107 | C22 | semidirect |
| 32. C23×#102 | 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. #10624989 | C22 | semidirect |
| 40. C4⋊(C23⋊C8) | C22 | semidirect |
| 88. D4×C23 | #41 | semidirect |
| 105. D92 | D8 | semidirect |
| 144. C4×D8 | D23 | semidirect |
| 170. C4×D4 | C2×D23 | semidirect |
| 173. #107 | C2×D23 | semidirect |
| 180. #102 | C2×D23 | semidirect |
| 182. C4×C8 | C2×D23 | semidirect |
| 183. C23 | #3294 | semidirect |
| 240. D4 | #67288 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093072 | 2 |
| D4×D92 | 2 |
| #13092764 | 2 |
| #13092732 | 2 |
| #13092697 | 2 |
| #13092652 | 2 |
| #13092612 | 2 |
| #13092549 | 2 |
| C8×D92 | 2 |
| #102×D23 | 2 |
| C4×D8×C23 | 2 |
| #3294 | 23 |