Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
510 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 76 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. #14544648 | C2 | semidirect |
| 2. #14544019 | C2 | semidirect |
| 3. #14543769 | C2 | semidirect |
| 4. #14543767 | C2 | semidirect |
| 262. C17 | #11884 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544648 | 2 |
| #14544019 | 2 |
| #14543769 | 2 |
| #14543767 | 2 |
| #14533744 | 2 |
| #11884 | 17 |