Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
358 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 4. #13092725 | C2 | semidirect |
| 5. #13092628 | C2 | semidirect |
| 7. #13092525 | C2 | semidirect |
| 8. C4×Dic92 | C2 | semidirect |
| 130. C23 | #3127 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093029 | 2 |
| #13092894 | 2 |
| #13092759 | 2 |
| #13092725 | 2 |
| #13092628 | 2 |
| #13092575 | 2 |
| #13092525 | 2 |
| C4×Dic92 | 2 |
| C23×#433 | 2 |
| #3127 | 23 |