Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
602 conjugacy classes of subgroups; only the 114 normal subgroups are shown.
This group has 602 conjugacy classes of subgroups — too many to draw. Only its 114 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. #14544700 | C2 | semidirect |
| 2. C4×#10587544 | C2 | semidirect |
| 3. C2×#11763669 | C2 | semidirect |
| 278. C17 | #9699 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544700 | 2 |
| C4×#10587544 | 2 |
| C2×#11763669 | 2 |
| C2×#11763667 | 2 |
| #14537139 | 2 |
| #9699 | 17 |