Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
182 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 7. #11762643 | C4 | semidirect |
| 13. C17×M64 | C4 | semidirect |
| 82. M64 | Dic17 | semidirect |
| 107. C17 | #7468 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762643 | 2 |
| C2×#11762584 | 2 |
| C2×C17×M64 | 2 |
| #7468 | 17 |