Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
330 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 330 conjugacy classes of subgroups — too many to draw. Only its 99 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. C2×#10622132 | C2 | semidirect |
| 3. #13068780 | C2 | semidirect |
| 4. #13066698 | C2 | semidirect |
| 179. C11 | #13534 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622132 | 2 |
| C2×#10622204 | 2 |
| #13068780 | 2 |
| #13066698 | 2 |
| C11×#1974 | 2 |
| #13534 | 11 |