Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
482 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 135 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×#11762629 | C2 | semidirect |
| 4. #14526864 | C2 | semidirect |
| 5. C17×#1375 | C2 | semidirect |
| 115. #1375 | D17 | semidirect |
| 176. C17 | #12791 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762761 | 2 |
| C2×#11762629 | 2 |
| C2×#11762590 | 2 |
| #14526864 | 2 |
| C17×#1375 | 2 |
| #12791 | 17 |