Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1042 conjugacy classes of subgroups; only the 227 normal subgroups are shown.
This group has 1042 conjugacy classes of subgroups — too many to draw. Only its 227 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 |
|---|---|---|
| 2. C2×#11762578 | C2 | semidirect |
| 200. C17 | #11198 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762773 | 2 |
| C2×#11762578 | 2 |
| C2×C17×#380 | 2 |
| #11198 | 17 |