Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
624 conjugacy classes of subgroups; only the 170 normal subgroups are shown.
This group has 624 conjugacy classes of subgroups — too many to draw. Only its 170 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. #14545673 | C2 | semidirect |
| 2. #14544405 | C2 | semidirect |
| 3. #14544385 | C2 | semidirect |
| 4. #14544347 | C2 | semidirect |
| 5. #14544144 | C2 | semidirect |
| 6. #14543998 | C2 | semidirect |
| 205. C17 | #17989 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545673 | 2 |
| #14544405 | 2 |
| #14544385 | 2 |
| #14544347 | 2 |
| #14544144 | 2 |
| #14543998 | 2 |
| #14539361 | 2 |
| #17989 | 17 |