Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
248 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 55 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 |
|---|---|---|
| 4. C2×#10587666 | C4 | semidirect |
| 6. C2×#10587665 | C4 | semidirect |
| 7. #11763908 | C4 | semidirect |
| 158. C17 | #7208 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545960 | 2 |
| #14545955 | 2 |
| #14544542 | 2 |
| #7208 | 17 |