Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
306 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 84 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. #14545116 | C2 | semidirect |
| 4. #14545005 | C2 | semidirect |
| 5. #14543834 | C2 | semidirect |
| 6. #14543828 | C2 | semidirect |
| 198. C17 | #13129 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545116 | 2 |
| #14545028 | 2 |
| #14545022 | 2 |
| #14545005 | 2 |
| #14543834 | 2 |
| #14543828 | 2 |
| #14528618 | 2 |
| #13129 | 17 |