Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
276 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 1. #13070400 | C2 | semidirect |
| 4. #13066731 | C2 | semidirect |
| 5. #13066718 | C2 | semidirect |
| 6. #13066712 | C2 | semidirect |
| 225. C11 | #13500 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070400 | 2 |
| #13068670 | 2 |
| #13068662 | 2 |
| #13066731 | 2 |
| #13066718 | 2 |
| #13066712 | 2 |
| C2×C11×#350 | 2 |
| #13500 | 11 |