Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
224 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 93. #3622 | Q32 | semidirect |
| 152. C17 | #12494 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530834 | 2 |
| #14528400 | 2 |
| #14527681 | 2 |
| #14526847 | 2 |
| #14526834 | 2 |
| #14526833 | 2 |
| C17×#2209 | 2 |
| #12494 | 17 |