Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
172 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 15. #10624997 | C4 | semidirect |
| 16. C8×Dic23 | C4 | semidirect |
| 82. C23 | #1833 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625001 | 2 |
| #13092372 | 2 |
| #13092187 | 2 |
| #13092173 | 2 |
| C23×#427 | 2 |
| #1833 | 23 |