Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
300 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 26. #66867 | C8 | semidirect |
| 156. C11 | #7023 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C4⋊(C11⋊C8) | 2 |
| #13068365 | 2 |
| C11×#1839 | 2 |
| #7023 | 11 |