Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
518 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 518 conjugacy classes of subgroups — too many to draw. Only its 88 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. #14545018 | C2 | semidirect |
| 2. #14543719 | C2 | semidirect |
| 3. #14543718 | C2 | semidirect |
| 7. #11763705 | C22 | semidirect |
| 218. D17 | #1321 | semidirect |
| 253. C17 | C2×#1321 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545018 | 2 |
| #14543719 | 2 |
| #14543718 | 2 |
| D17×#408 | 2 |
| C2×#1321 | 17 |