Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
182 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 57 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. #13092764 | C2 | semidirect |
| 2. #13092622 | C2 | semidirect |
| 4. #13092170 | C2 | semidirect |
| 5. #13092162 | C2 | semidirect |
| 6. #13092160 | C2 | semidirect |
| 7. C8×D4×C23 | C2 | semidirect |
| 83. C8×D4 | D23 | semidirect |
| 107. C23 | #1681 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092764 | 2 |
| #13092622 | 2 |
| #13092612 | 2 |
| #13092170 | 2 |
| #13092162 | 2 |
| #13092160 | 2 |
| C8×D4×C23 | 2 |
| #1681 | 23 |