Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
384 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 196. C17 | #8242 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537714 | 2 |
| #14527448 | 2 |
| #14527378 | 2 |
| #14527065 | 2 |
| M16×#3622 | 2 |
| #14526673 | 2 |
| C17×#1299 | 2 |
| #8242 | 17 |