Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
364 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 73 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. #14545960 | C2 | semidirect |
| 2. #14545823 | C2 | semidirect |
| 3. #14545815 | C2 | semidirect |
| 171. C17 | #11486 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545960 | 2 |
| #14545823 | 2 |
| #14545815 | 2 |
| #14545513 | 2 |
| #11486 | 17 |