Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
594 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 594 conjugacy classes of subgroups — too many to draw. Only its 129 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×#11762613 | C2 | semidirect |
| 4. #14526862 | C2 | semidirect |
| 5. C2×C17×#494 | C2 | semidirect |
| 104. C2×C4×C17 | SD32 | semidirect |
| 121. C2×#494 | D17 | semidirect |
| 192. C17 | #13327 | semidirect |
| 252. C2×C4 | #10587499 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10587499 | 2 |
| C2×#11762613 | 2 |
| #14529650 | 2 |
| #14526862 | 2 |
| C2×C17×#494 | 2 |
| #13327 | 17 |