Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
206 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 206 conjugacy classes of subgroups — too many to draw. Only its 78 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 |
|---|---|---|
| 64. #63216 | Q16 | semidirect |
| 140. C17 | #12053 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545200 | 2 |
| #14545198 | 2 |
| #14543813 | 2 |
| #14543751 | 2 |
| #14543696 | 2 |
| #14527590 | 2 |
| #12053 | 17 |