Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
388 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 131 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. #13092972 | C2 | semidirect |
| 3. #13092723 | C2 | semidirect |
| 4. #13092715 | C2 | semidirect |
| 5. #13092713 | C2 | semidirect |
| 6. #13092707 | C2 | semidirect |
| 7. #13092699 | C2 | semidirect |
| 8. #13092454 | C2 | semidirect |
| 9. C4⋊C8×D23 | C2 | semidirect |
| 11. C23×#474 | C2 | semidirect |
| 50. #67290 | Q8 | semidirect |
| 137. #474 | D23 | semidirect |
| 177. C23 | #3076 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092972 | 2 |
| C4×#67290 | 2 |
| #13092723 | 2 |
| #13092715 | 2 |
| #13092713 | 2 |
| #13092707 | 2 |
| #13092699 | 2 |
| #13092454 | 2 |
| C4⋊C8×D23 | 2 |
| #13092410 | 2 |
| C23×#474 | 2 |
| #3076 | 23 |