Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
454 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 92 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 |
|---|---|---|
| 2. #14544898 | C2 | semidirect |
| 3. #14544343 | C2 | semidirect |
| 5. #14543676 | C2 | semidirect |
| 6. #14543616 | C2 | semidirect |
| 143. D68 | #108 | semidirect |
| 264. C17 | #8906 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545525 | 2 |
| #14544898 | 2 |
| #14544343 | 2 |
| #14544110 | 2 |
| #14543676 | 2 |
| #14543616 | 2 |
| D17×D4⋊C8 | 2 |
| #8906 | 17 |