Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
186 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 51 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. C2×#10625008 | C2 | semidirect |
| 2. #13092792 | C2 | semidirect |
| 3. D8×Dic23 | C2 | semidirect |
| 4. Dic23⋊C16 | C2 | semidirect |
| 5. #13092219 | C2 | semidirect |
| 6. #13092218 | C2 | semidirect |
| 7. C2×C23×D16 | C2 | semidirect |
| 30. D8×C23 | D4 | semidirect |
| 75. Dic23 | D16 | semidirect |
| 77. C2×D16 | D23 | semidirect |
| 102. C23 | #2206 | semidirect |
| 115. D8 | C22⋊D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625008 | 2 |
| #13092792 | 2 |
| D8×Dic23 | 2 |
| Dic23⋊C16 | 2 |
| #13092219 | 2 |
| #13092218 | 2 |
| C2×C23×D16 | 2 |
| #2206 | 23 |