Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
398 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 398 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 |
|---|---|---|
| 235. C17 | #7812 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14536777 | 2 |
| #14530328 | 2 |
| #14530193 | 2 |
| #14526610 | 2 |
| #14526609 | 2 |
| C17×#2072 | 2 |
| #7812 | 17 |