Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
504 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 131 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. #14541769 | C2 | semidirect |
| 2. #14531054 | C2 | semidirect |
| 3. #14530843 | C2 | semidirect |
| 5. #14530832 | C2 | semidirect |
| 6. #14530692 | C2 | semidirect |
| 7. #14530649 | C2 | semidirect |
| 8. C4×Dic136 | C2 | semidirect |
| 212. C17 | #33969 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14541769 | 2 |
| #14531054 | 2 |
| #14530843 | 2 |
| #14530837 | 2 |
| #14530832 | 2 |
| #14530692 | 2 |
| #14530649 | 2 |
| C4×Dic136 | 2 |
| C17×#2249 | 2 |
| #33969 | 17 |