Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
332 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 98 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. #14545119 | C2 | semidirect |
| 4. C2×C4×#63216 | C2 | semidirect |
| 5. #14543838 | C2 | semidirect |
| 6. #14543828 | C2 | semidirect |
| 193. C17 | #13124 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545119 | 2 |
| C2×#11763708 | 2 |
| #14545016 | 2 |
| C2×C4×#63216 | 2 |
| #14543838 | 2 |
| #14543828 | 2 |
| #14528618 | 2 |
| #13124 | 17 |