Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
568 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 568 conjugacy classes of subgroups — too many to draw. Only its 80 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. #14545635 | C2 | semidirect |
| 2. #14544263 | C2 | semidirect |
| 3. #14544044 | C2 | semidirect |
| 4. #14543635 | C2 | semidirect |
| 60. #10587542 | D4 | semidirect |
| 268. C17 | #9447 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545635 | 2 |
| #14544263 | 2 |
| #14544044 | 2 |
| #14543635 | 2 |
| #14533752 | 2 |
| #9447 | 17 |