Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
622 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 622 conjugacy classes of subgroups — too many to draw. Only its 112 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 |
|---|---|---|
| 3. #14543627 | C2 | semidirect |
| 4. #14543627 | C2 | semidirect |
| 49. C22⋊C4×D17 | C8 | semidirect |
| 278. C17 | #8734 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763653 | 2 |
| #14543627 | 2 |
| #14531136 | 2 |
| #8734 | 17 |