Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
330 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 330 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 3. #14545839 | C2 | semidirect |
| 158. C17 | #11606 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545970 | 2 |
| C4×#10587666 | 2 |
| #14545839 | 2 |
| #14545573 | 2 |
| #11606 | 17 |