Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
312 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 95 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. #13092440 | C2 | semidirect |
| 4. C4×Dic23⋊C4 | C2 | semidirect |
| 5. #13092178 | C2 | semidirect |
| 6. #13092177 | C2 | semidirect |
| 11. Q8×Dic23 | C4 | semidirect |
| 12. Q8×Dic23 | C4 | semidirect |
| 15. D4×Dic23 | C4 | semidirect |
| 16. D4×Dic23 | C4 | semidirect |
| 72. Q8×C23 | C4⋊C4 | semidirect |
| 76. D4×C23 | C4⋊C4 | semidirect |
| 125. Dic23 | #104 | semidirect |
| 160. C23 | #1806 | semidirect |
| 204. Q8 | Dic23⋊C4 | semidirect |
| 208. D4 | Dic23⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #41×Dic23 | 2 |
| #13092440 | 2 |
| C2×#10625019 | 2 |
| C4×Dic23⋊C4 | 2 |
| #13092178 | 2 |
| #13092177 | 2 |
| C2×C23×#104 | 2 |
| #1806 | 23 |