Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
484 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 484 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. #14545480 | C2 | semidirect |
| 2. #14544130 | C2 | semidirect |
| 3. #14544090 | C2 | semidirect |
| 4. #14544076 | C2 | semidirect |
| 5. #14543676 | C2 | semidirect |
| 6. #14543613 | C2 | semidirect |
| 306. C17 | #8996 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545480 | 2 |
| #14544130 | 2 |
| #14544090 | 2 |
| #14544076 | 2 |
| #14543676 | 2 |
| #14543613 | 2 |
| #14538232 | 2 |
| #8996 | 17 |