Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 117 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. #13093124 | C2 | semidirect |
| 2. #13093088 | C2 | semidirect |
| 3. #13092780 | C2 | semidirect |
| 4. #13092764 | C2 | semidirect |
| 5. #13092720 | C2 | semidirect |
| 6. #13092707 | C2 | semidirect |
| 7. #13092612 | C2 | semidirect |
| 8. #13092610 | C2 | semidirect |
| 9. #13092547 | C2 | semidirect |
| 10. #13092526 | C2 | semidirect |
| 11. C4×D8×C23 | C2 | semidirect |
| 80. D4×C23 | #41 | semidirect |
| 134. C4×D8 | D23 | semidirect |
| 170. C23 | #3366 | semidirect |
| 218. D4 | #67288 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093124 | 2 |
| #13093088 | 2 |
| #13092780 | 2 |
| #13092764 | 2 |
| #13092720 | 2 |
| #13092707 | 2 |
| #13092612 | 2 |
| #13092610 | 2 |
| #13092547 | 2 |
| #13092526 | 2 |
| C4×D8×C23 | 2 |
| #3366 | 23 |