Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
176 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 176 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 |
|---|---|---|
| 1. #14531059 | C2 | semidirect |
| 3. #14526984 | C2 | semidirect |
| 5. C17×C4⋊C32 | C2 | semidirect |
| 26. D272 | Q8 | semidirect |
| 60. C4⋊C32 | D17 | semidirect |
| 98. C17 | #13703 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531059 | 2 |
| C4×D272 | 2 |
| #14526984 | 2 |
| #14526963 | 2 |
| C17×C4⋊C32 | 2 |
| #13703 | 17 |