Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
636 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 636 conjugacy classes of subgroups — too many to draw. Only its 98 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. #14544501 | C2 | semidirect |
| 2. #14543601 | C2 | semidirect |
| 138. C17 | #7637 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544501 | 2 |
| #14543601 | 2 |
| #14531346 | 2 |
| #7637 | 17 |