Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
712 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 712 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
|---|---|---|
| 1. C2×#11763100 | C2 | semidirect |
| 3. #14529585 | C2 | semidirect |
| 4. C2×#11762536 | C2 | semidirect |
| 5. C17×#1296 | C2 | semidirect |
| 41. #10587555 | D4 | semidirect |
| 43. C17×C4⋊C8 | D4 | semidirect |
| 136. #1296 | D17 | semidirect |
| 202. C4⋊C8 | D68 | semidirect |
| 207. C17 | #10235 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763100 | 2 |
| #14533700 | 2 |
| #14529585 | 2 |
| C2×#11762536 | 2 |
| C17×#1296 | 2 |
| #10235 | 17 |