Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
778 conjugacy classes of subgroups; only the 216 normal subgroups are shown.
This group has 778 conjugacy classes of subgroups — too many to draw. Only its 216 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 |
|---|---|---|
| 2. #14543605 | C2 | direct (N × H) |
| 22. C22×Dic34 | C8 | semidirect |
| 65. C2×Dic34 | C2×C8 | semidirect |
| 142. C2×C17 | #1272 | semidirect |
| 171. C17 | C2×#1272 | semidirect |
| 263. C2 | #14543605 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763675 | 2 |
| #14543605 | 2 |
| C2×#11762714 | 2 |
| C2×#1272 | 17 |