Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
176 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 53 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. #13092704 | C2 | semidirect |
| 3. C8×D92 | C2 | semidirect |
| 4. #13092168 | C2 | semidirect |
| 5. #13092166 | C2 | semidirect |
| 6. #13092161 | C2 | semidirect |
| 7. C23×#486 | C2 | semidirect |
| 78. #486 | D23 | semidirect |
| 105. C23 | #1677 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092704 | 2 |
| #13092609 | 2 |
| C8×D92 | 2 |
| #13092168 | 2 |
| #13092166 | 2 |
| #13092161 | 2 |
| C23×#486 | 2 |
| #1677 | 23 |