Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
272 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 186. C17 | #10630 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14529766 | 2 |
| #14528903 | 2 |
| #14527441 | 2 |
| #14526681 | 2 |
| #14526680 | 2 |
| #14526612 | 2 |
| C17×#1542 | 2 |
| #10630 | 17 |