Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
440 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 131 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. #13092972 | C2 | semidirect |
| 3. #13092720 | C2 | semidirect |
| 4. #13092719 | C2 | semidirect |
| 5. #13092708 | C2 | semidirect |
| 6. #13092707 | C2 | semidirect |
| 7. #13092694 | C2 | semidirect |
| 8. #13092458 | C2 | semidirect |
| 9. #13092439 | C2 | semidirect |
| 11. C23×#474 | C2 | semidirect |
| 14. C23×C4⋊Q8 | C22 | semidirect |
| 25. #10625061 | C22 | semidirect |
| 31. #10625040 | C22 | semidirect |
| 32. C23×#107 | C22 | semidirect |
| 33. C23×C4⋊C8 | C22 | semidirect |
| 37. #10624999 | C22 | semidirect |
| 38. Dic23⋊C8 | C22 | semidirect |
| 40. #10624990 | C22 | semidirect |
| 41. #10624989 | C22 | semidirect |
| 42. C4⋊(C23⋊C8) | C22 | semidirect |
| 50. D4×D23 | Q8 | semidirect |
| 146. #474 | D23 | semidirect |
| 160. C4⋊Q8 | C2×D23 | semidirect |
| 177. #107 | C2×D23 | semidirect |
| 182. C4⋊C8 | C2×D23 | semidirect |
| 187. C23 | #3077 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092972 | 2 |
| C4×D4×D23 | 2 |
| #13092720 | 2 |
| #13092719 | 2 |
| #13092708 | 2 |
| #13092707 | 2 |
| #13092694 | 2 |
| #13092458 | 2 |
| #13092439 | 2 |
| #13092420 | 2 |
| C23×#474 | 2 |
| #3077 | 23 |