Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
568 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 568 conjugacy classes of subgroups — too many to draw. Only its 213 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. #13092284 | C2 | semidirect |
| 3. #13092281 | C2 | semidirect |
| 6. C4×Dic23⋊C4 | C2 | semidirect |
| 8. #13092263 | C2 | semidirect |
| 17. C2×C4×Dic23 | C4 | semidirect |
| 127. C23 | #2283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4×Dic23 | 2 |
| #13092284 | 2 |
| #13092281 | 2 |
| #13092278 | 2 |
| #13092275 | 2 |
| C4×Dic23⋊C4 | 2 |
| C4×C22⋊Dic23 | 2 |
| #13092263 | 2 |
| C4×C22⋊C4×C23 | 2 |
| #2283 | 23 |