Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
136 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 136 conjugacy classes of subgroups — too many to draw. Only its 49 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. #13092818 | C2 | semidirect |
| 3. #13092244 | C2 | semidirect |
| 4. #13092243 | C2 | semidirect |
| 5. Dic23⋊C16 | C2 | semidirect |
| 81. C23 | #2228 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092818 | 2 |
| D8×Dic23 | 2 |
| #13092244 | 2 |
| #13092243 | 2 |
| Dic23⋊C16 | 2 |
| #13092218 | 2 |
| C23×#357 | 2 |
| #2228 | 23 |