Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
372 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 372 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 |
|---|---|---|
| 2. C2×Dic23⋊C8 | C2 | semidirect |
| 4. #13092286 | C2 | semidirect |
| 5. #13092180 | C2 | semidirect |
| 6. #13092179 | C2 | semidirect |
| 14. D4×Dic23 | C4 | semidirect |
| 68. D4×C23 | C4⋊C4 | semidirect |
| 116. Dic23 | #102 | semidirect |
| 148. C23 | #1802 | semidirect |
| 193. D4 | Dic23⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D4×Dic23 | 2 |
| C2×Dic23⋊C8 | 2 |
| C2×#10625014 | 2 |
| #13092286 | 2 |
| #13092180 | 2 |
| #13092179 | 2 |
| C2×C23×#102 | 2 |
| #1802 | 23 |