Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
360 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
| 3. C2×#10625003 | C2 | semidirect |
| 4. #13092320 | C2 | semidirect |
| 5. #13092318 | C2 | semidirect |
| 6. #13092179 | C2 | semidirect |
| 7. C2×C23×#102 | C2 | semidirect |
| 97. C2×Dic23 | D8 | semidirect |
| 137. C2×#102 | D23 | semidirect |
| 167. C23 | #2054 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67272 | 2 |
| C2×Dic23⋊C8 | 2 |
| C2×#10625003 | 2 |
| #13092320 | 2 |
| #13092318 | 2 |
| #13092179 | 2 |
| C2×C23×#102 | 2 |
| #2054 | 23 |