Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
172 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 57 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. #13092796 | C2 | semidirect |
| 4. #13092169 | C2 | semidirect |
| 5. #13092163 | C2 | semidirect |
| 6. #13092162 | C2 | semidirect |
| 46. D4×C23 | Q16 | semidirect |
| 101. C23 | #1669 | semidirect |
| 127. D4 | #67275 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092796 | 2 |
| #13092697 | 2 |
| D4×C23⋊C8 | 2 |
| #13092169 | 2 |
| #13092163 | 2 |
| #13092162 | 2 |
| C23×#474 | 2 |
| #1669 | 23 |