Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
162 conjugacy classes of subgroups; only the 40 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 40 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. #14543898 | C2 | semidirect |
| 2. #14543842 | C2 | semidirect |
| 6. C2×D272 | C4 | semidirect |
| 10. C17×#366 | C4 | semidirect |
| 79. #366 | #595 | semidirect |
| 100. C17 | #7418 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14543898 | 2 |
| #14543842 | 2 |
| #14530871 | 2 |
| #7418 | 17 |