Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
238 conjugacy classes of subgroups; only the 136 normal subgroups are shown.
This group has 238 conjugacy classes of subgroups — too many to draw. Only its 136 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 |
|---|---|---|
| 3. #14543892 | C2 | semidirect |
| 4. #14543891 | C2 | semidirect |
| 5. #14543889 | C2 | semidirect |
| 6. C4×#10587467 | C2 | semidirect |
| 8. #11763742 | C4 | semidirect |
| 9. #11763740 | C4 | semidirect |
| 118. C17 | #13549 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763742 | 2 |
| C2×#11763740 | 2 |
| #14543892 | 2 |
| #14543891 | 2 |
| #14543889 | 2 |
| C4×#10587467 | 2 |
| #14530382 | 2 |
| #13549 | 17 |