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×#67273 | C2 | semidirect |
| 2. C2×#10625078 | C2 | semidirect |
| 3. #13092993 | C2 | semidirect |
| 5. #13092662 | C2 | semidirect |
| 6. #13092645 | C2 | semidirect |
| 7. #13092453 | C2 | semidirect |
| 8. #13092427 | C2 | semidirect |
| 9. C23×#418 | C2 | semidirect |
| 25. C2×#67262 | C22 | semidirect |
| 26. C2×C8×D23 | C22 | semidirect |
| 27. #10625068 | C22 | semidirect |
| 32. #10624998 | C22 | semidirect |
| 33. #10624990 | C22 | semidirect |
| 34. #10624989 | C22 | semidirect |
| 66. C2×C23⋊C8 | D4 | semidirect |
| 124. #418 | 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×#67273 | 2 |
| C2×#10625078 | 2 |
| #13092993 | 2 |
| #13092984 | 2 |
| #13092662 | 2 |
| #13092645 | 2 |
| #13092453 | 2 |
| #13092427 | 2 |
| C23×#418 | 2 |
| #3057 | 23 |