Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
462 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 139 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. #13093124 | C2 | semidirect |
| 3. #13092764 | C2 | semidirect |
| 4. #13092736 | C2 | semidirect |
| 5. #13092708 | C2 | semidirect |
| 6. #13092646 | C2 | semidirect |
| 7. #13092618 | C2 | semidirect |
| 8. #13092570 | C2 | semidirect |
| 9. C4×#67263 | C2 | semidirect |
| 10. C2×#10625003 | C2 | semidirect |
| 11. C8×D4×C23 | C2 | semidirect |
| 14. C22×C8×C23 | C22 | semidirect |
| 18. C2×C4⋊Dic23 | C22 | semidirect |
| 19. #10625095 | C22 | semidirect |
| 21. C2×#67263 | C22 | semidirect |
| 28. #10625040 | C22 | semidirect |
| 29. C4×Dic46 | C22 | semidirect |
| 30. C23×C4⋊C8 | C22 | semidirect |
| 31. C23×C22⋊C8 | C22 | semidirect |
| 32. C4×C8×C23 | C22 | semidirect |
| 35. #10625003 | C22 | semidirect |
| 36. #10625003 | C22 | semidirect |
| 37. #10625003 | C22 | semidirect |
| 38. #10624999 | C22 | semidirect |
| 39. #10624999 | C22 | semidirect |
| 40. #10624998 | C22 | semidirect |
| 83. D4×C23 | SD16 | semidirect |
| 140. C8×D4 | D23 | semidirect |
| 152. C22×C8 | C2×D23 | semidirect |
| 168. C4⋊C8 | C2×D23 | semidirect |
| 175. C22⋊C8 | C2×D23 | semidirect |
| 176. C4×C8 | C2×D23 | semidirect |
| 177. C23 | #3295 | semidirect |
| 231. D4 | #67263 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093124 | 2 |
| D4×D92 | 2 |
| #13092764 | 2 |
| #13092736 | 2 |
| #13092708 | 2 |
| #13092646 | 2 |
| #13092618 | 2 |
| #13092570 | 2 |
| C4×#67263 | 2 |
| C2×#10625003 | 2 |
| C8×D4×C23 | 2 |
| #3295 | 23 |