Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
142 conjugacy classes of subgroups; only the 22 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 22 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 |
|---|---|---|
| 9. #11762530 | C4 | semidirect |
| 10. C17×#494 | C4 | semidirect |
| 62. #494 | #595 | semidirect |
| 82. C17 | #7528 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14543920 | 2 |
| #14543918 | 2 |
| #14528456 | 2 |
| #7528 | 17 |