Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
366 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 123 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. C2×#11762639 | C2 | semidirect |
| 4. #14526892 | C2 | semidirect |
| 5. C2×C17×#367 | C2 | semidirect |
| 8. #11763225 | C4 | semidirect |
| 105. C2×#367 | D17 | semidirect |
| 165. C17 | #12843 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763225 | 2 |
| C2×#11762639 | 2 |
| #14528849 | 2 |
| #14526892 | 2 |
| C2×C17×#367 | 2 |
| #12843 | 17 |