Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
256 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 55 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 |
|---|---|---|
| 2. #13092791 | C2 | semidirect |
| 3. #13092709 | C2 | semidirect |
| 4. #13092160 | C2 | semidirect |
| 5. #13092147 | C2 | semidirect |
| 6. D4⋊(C23⋊C8) | C2 | semidirect |
| 7. C23×#476 | C2 | semidirect |
| 73. Dic46 | SD16 | semidirect |
| 97. #476 | D23 | semidirect |
| 123. C23 | #1631 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093088 | 2 |
| #13092791 | 2 |
| #13092709 | 2 |
| #13092160 | 2 |
| #13092147 | 2 |
| D4⋊(C23⋊C8) | 2 |
| C23×#476 | 2 |
| #1631 | 23 |