Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
424 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 87 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. C4⋊C4×C17 | Q16 | semidirect |
| 241. C17 | #7783 | semidirect |
| 288. C4⋊C4 | #63231 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530117 | 2 |
| #14530112 | 2 |
| #14529883 | 2 |
| #14526610 | 2 |
| #14526607 | 2 |
| C17×#2805 | 2 |
| #7783 | 17 |