Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
518 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 518 conjugacy classes of subgroups — too many to draw. Only its 132 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. #14543991 | C2 | semidirect |
| 4. #14543630 | C2 | semidirect |
| 108. #3624 | #100 | semidirect |
| 180. C17 | #8164 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D4×#3624 | 2 |
| #14544024 | 2 |
| #14543991 | 2 |
| #14543630 | 2 |
| #100×Dic17 | 2 |
| #8164 | 17 |