Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
356 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 43 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. #14526714 | C2 | semidirect |
| 11. C22×Q8×C17 | C8 | semidirect |
| 13. C22×D4×C17 | C8 | semidirect |
| 114. C22×Q8 | #3622 | semidirect |
| 116. C22×D4 | #3622 | semidirect |
| 125. C17 | #7339 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14526714 | 2 |
| C17×#1782 | 2 |
| #7339 | 17 |