Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
422 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 108 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. #14545114 | C2 | semidirect |
| 2. #14544985 | C2 | semidirect |
| 3. #14543737 | C2 | semidirect |
| 4. #14543736 | C2 | semidirect |
| 9. C4⋊#63216 | C22 | semidirect |
| 11. #11763697 | C22 | semidirect |
| 185. D17 | #1330 | semidirect |
| 221. C17 | C2×#1330 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545114 | 2 |
| #14544985 | 2 |
| #14543737 | 2 |
| #14543736 | 2 |
| D17×#436 | 2 |
| C2×#1330 | 17 |