Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
330 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 330 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13068774 | C2 | semidirect |
| 4. #13066725 | C2 | semidirect |
| 5. #13066724 | C2 | semidirect |
| 6. #13066697 | C2 | semidirect |
| 240. C11 | #13484 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070328 | 2 |
| #13069505 | 2 |
| #13068774 | 2 |
| #13066725 | 2 |
| #13066724 | 2 |
| #13066697 | 2 |
| C11×#2139 | 2 |
| #13484 | 11 |