Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
274 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 274 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 |
|---|---|---|
| 7. #11763698 | C4 | semidirect |
| 12. #11762560 | C4 | semidirect |
| 14. C17×#334 | C4 | semidirect |
| 24. #10587534 | C8 | semidirect |
| 104. #334 | #595 | semidirect |
| 128. C17 | #7178 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544985 | 2 |
| C4×#10587534 | 2 |
| D17×#334 | 2 |
| #7178 | 17 |