Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
504 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 96 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. #14544088 | C2 | semidirect |
| 4. #14544028 | C2 | semidirect |
| 5. #14543624 | C2 | semidirect |
| 6. #14543610 | C2 | semidirect |
| 89. C2×Dic34 | M16 | semidirect |
| 115. C2×#3622 | M16 | semidirect |
| 252. C17 | #9091 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545646 | 2 |
| #14544088 | 2 |
| #14544083 | 2 |
| #14544028 | 2 |
| #14543624 | 2 |
| #14543610 | 2 |
| C2×#11762906 | 2 |
| #9091 | 17 |