Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
324 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
|---|---|---|
| 12. Q8×Dic23 | C4 | semidirect |
| 20. C23×#103 | C4 | semidirect |
| 21. #10625017 | C4 | semidirect |
| 58. Q8×C23 | C42 | semidirect |
| 130. #103 | Dic23 | semidirect |
| 133. C23 | #1763 | semidirect |
| 168. Q8 | C4×Dic23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q8×Dic23 | 2 |
| C2×#10625017 | 2 |
| C2×#10624997 | 2 |
| C4⋊C4×Dic23 | 2 |
| #13092180 | 2 |
| #13092179 | 2 |
| C2×C23×#103 | 2 |
| #1763 | 23 |