Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1134 conjugacy classes of subgroups; only the 219 normal subgroups are shown.
This group has 1134 conjugacy classes of subgroups — too many to draw. Only its 219 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 |
|---|---|---|
| 11. C2×C17×#95 | C4 | semidirect |
| 120. C2×#95 | Dic17 | semidirect |
| 148. C17 | #11197 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762672 | 2 |
| C2×#11762576 | 2 |
| C2×C17×#381 | 2 |
| #11197 | 17 |