Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
492 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 133 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×#67274 | C2 | semidirect |
| 2. C2×#10625078 | C2 | semidirect |
| 3. #13092991 | C2 | semidirect |
| 5. #13092666 | C2 | semidirect |
| 6. #13092649 | C2 | semidirect |
| 7. #13092453 | C2 | semidirect |
| 8. #13092423 | C2 | semidirect |
| 9. C23×#419 | C2 | semidirect |
| 16. #10625117 | C22 | semidirect |
| 25. C2×#67262 | C22 | semidirect |
| 26. C2×C8×D23 | C22 | semidirect |
| 31. C23×#103 | C22 | semidirect |
| 33. #10624990 | C22 | semidirect |
| 34. #10624989 | C22 | semidirect |
| 66. C2×C23⋊C8 | D4 | semidirect |
| 123. #419 | D23 | semidirect |
| 153. #103 | C2×D23 | semidirect |
| 155. C23 | #3057 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67274 | 2 |
| C2×#10625078 | 2 |
| #13092991 | 2 |
| #13092986 | 2 |
| #13092666 | 2 |
| #13092649 | 2 |
| #13092453 | 2 |
| #13092423 | 2 |
| C23×#419 | 2 |
| #3057 | 23 |