Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
166 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 61 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. #13092815 | C2 | semidirect |
| 4. #13092168 | C2 | semidirect |
| 5. #13092165 | C2 | semidirect |
| 6. #13092162 | C2 | semidirect |
| 57. C8×C23 | SD16 | semidirect |
| 99. C23 | #1671 | semidirect |
| 136. C8 | #67273 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092815 | 2 |
| #13092707 | 2 |
| #13092622 | 2 |
| #13092168 | 2 |
| #13092165 | 2 |
| #13092162 | 2 |
| C8×D4×C23 | 2 |
| #1671 | 23 |