Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
554 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 554 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. #14540129 | C2 | semidirect |
| 4. #14529727 | C2 | semidirect |
| 5. #14527282 | C2 | semidirect |
| 6. #14526634 | C2 | semidirect |
| 271. C17 | #10195 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540129 | 2 |
| #14539725 | 2 |
| #14539158 | 2 |
| #14529727 | 2 |
| #14527282 | 2 |
| #14526634 | 2 |
| C17×#1982 | 2 |
| #10195 | 17 |