Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
314 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 3. #13066650 | C2 | direct (N × H) |
| 160. C2×C11 | #1356 | semidirect |
| 191. C11 | C2×#1356 | semidirect |
| 229. C2 | #13066650 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622316 | 2 |
| C2×#10622104 | 2 |
| #13066650 | 2 |
| C2×C11×#347 | 2 |
| C2×#1356 | 11 |