Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
234 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 65 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. #13092813 | C2 | semidirect |
| 2. #13092702 | C2 | semidirect |
| 4. #13092163 | C2 | semidirect |
| 5. Q8⋊(C23⋊C8) | C2 | semidirect |
| 55. Q8×C23 | SD16 | semidirect |
| 117. C23 | #1651 | semidirect |
| 150. Q8 | #67273 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092813 | 2 |
| #13092702 | 2 |
| #13092622 | 2 |
| #13092163 | 2 |
| Q8⋊(C23⋊C8) | 2 |
| D4⋊(C23⋊C8) | 2 |
| D4×Q8×C23 | 2 |
| #1651 | 23 |