Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
438 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 277. C17 | #10563 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14529253 | 2 |
| #14529218 | 2 |
| #14528988 | 2 |
| #14527356 | 2 |
| #14527148 | 2 |
| #14526689 | 2 |
| C17×#3195 | 2 |
| #10563 | 17 |