Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
198 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 69 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. #13092822 | C2 | semidirect |
| 2. #13092815 | C2 | semidirect |
| 5. #13092768 | C2 | semidirect |
| 7. C23×#322 | C2 | semidirect |
| 54. C8×C23 | SD16 | semidirect |
| 72. #322 | D23 | semidirect |
| 90. C23 | #1714 | semidirect |
| 124. C8 | #67263 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092822 | 2 |
| #13092815 | 2 |
| #13092790 | 2 |
| #13092768 | 2 |
| #13092764 | 2 |
| C23×#322 | 2 |
| #1714 | 23 |