Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
402 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 17. C2×#66893 | C4 | semidirect |
| 264. C11 | #13244 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#66893 | 2 |
| C2×#10622131 | 2 |
| C2×#10622203 | 2 |
| C2×#10622134 | 2 |
| #13070213 | 2 |
| #13069531 | 2 |
| C11×#1979 | 2 |
| #13244 | 11 |