Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
492 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×#67263 | C2 | semidirect |
| 2. C2×#10625072 | C2 | semidirect |
| 3. #13092993 | C2 | semidirect |
| 5. #13092664 | C2 | semidirect |
| 6. #13092647 | C2 | semidirect |
| 7. #13092425 | C2 | semidirect |
| 8. #13092421 | C2 | semidirect |
| 9. C23×#427 | C2 | semidirect |
| 21. C2×#67262 | C22 | semidirect |
| 22. C2×C8×D23 | C22 | semidirect |
| 23. #10625068 | C22 | semidirect |
| 31. C23×#107 | C22 | semidirect |
| 32. C23×#106 | C22 | semidirect |
| 33. #10624992 | C22 | semidirect |
| 53. C2×C8×C23 | D4 | semidirect |
| 122. #427 | D23 | semidirect |
| 151. #107 | C2×D23 | semidirect |
| 152. #106 | C2×D23 | semidirect |
| 155. C23 | #3057 | semidirect |
| 180. C2×C8 | D92 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67263 | 2 |
| C2×#10625072 | 2 |
| #13092993 | 2 |
| #13092986 | 2 |
| #13092664 | 2 |
| #13092647 | 2 |
| #13092425 | 2 |
| #13092421 | 2 |
| C23×#427 | 2 |
| #3057 | 23 |