Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
484 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 484 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. C2×#10625121 | C2 | semidirect |
| 2. C2×#10625078 | C2 | semidirect |
| 3. #13092998 | C2 | semidirect |
| 4. #13092995 | C2 | semidirect |
| 5. #13092666 | C2 | semidirect |
| 6. #13092662 | C2 | semidirect |
| 7. #13092657 | C2 | semidirect |
| 8. #13092652 | C2 | semidirect |
| 9. C2×#10624989 | C2 | semidirect |
| 10. #13092419 | C2 | semidirect |
| 11. C23×#417 | C2 | semidirect |
| 82. C2×C23⋊C8 | D4 | semidirect |
| 156. #417 | D23 | semidirect |
| 195. C23 | #3061 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625121 | 2 |
| C2×#10625078 | 2 |
| #13092998 | 2 |
| #13092995 | 2 |
| #13092666 | 2 |
| #13092662 | 2 |
| #13092657 | 2 |
| #13092652 | 2 |
| C2×#10624989 | 2 |
| #13092419 | 2 |
| C23×#417 | 2 |
| #3061 | 23 |