Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
358 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 3. #13092724 | C2 | semidirect |
| 4. #13092627 | C2 | semidirect |
| 6. #13092522 | C2 | semidirect |
| 7. C4×#67275 | 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 |
| #13092758 | 2 |
| #13092724 | 2 |
| #13092627 | 2 |
| #13092573 | 2 |
| #13092522 | 2 |
| C4×#67275 | 2 |
| #13092478 | 2 |
| C23×#519 | 2 |
| #3127 | 23 |