Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
906 conjugacy classes of subgroups; only the 166 normal subgroups are shown.
This group has 906 conjugacy classes of subgroups — too many to draw. Only its 166 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 |
|---|---|---|
| 2. #14543656 | C2 | semidirect |
| 231. C17 | #8008 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763780 | 2 |
| #14543656 | 2 |
| C2×C22⋊C8×D17 | 2 |
| #8008 | 17 |