Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
274 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 15. #10622144 | C4 | semidirect |
| 156. C11 | #13171 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622144 | 2 |
| #13070212 | 2 |
| #13069399 | 2 |
| #13066724 | 2 |
| C2×C11×#366 | 2 |
| #13171 | 11 |