Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
924 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 924 conjugacy classes of subgroups — too many to draw. Only its 147 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. #14529774 | C2 | semidirect |
| 2. #14527519 | C2 | semidirect |
| 3. #14527376 | C2 | semidirect |
| 4. #14527223 | C2 | semidirect |
| 248. C17 | #8471 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14529774 | 2 |
| #14527519 | 2 |
| #14527376 | 2 |
| #14527223 | 2 |
| C17×#3499 | 2 |
| #8471 | 17 |