Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
210 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 90. C8×C11 | Q32 | semidirect |
| 166. C11 | #12083 | semidirect |
| 183. C8 | #66893 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#66893 | 2 |
| #13067514 | 2 |
| #13066687 | 2 |
| #13066580 | 2 |
| #13066579 | 2 |
| C8×C11⋊C16 | 2 |
| C11×#1591 | 2 |
| #12083 | 11 |