Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
618 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 618 conjugacy classes of subgroups — too many to draw. Only its 106 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. #14545313 | C2 | semidirect |
| 4. D17⋊#332 | C2 | semidirect |
| 5. #14543619 | C2 | semidirect |
| 6. #14543619 | C2 | semidirect |
| 24. #11763157 | C4 | semidirect |
| 25. #11763156 | C4 | semidirect |
| 26. #11763155 | C4 | semidirect |
| 30. C17×#486 | C4 | semidirect |
| 263. #486 | #595 | semidirect |
| 337. C17 | #9062 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545313 | 2 |
| #14544951 | 2 |
| D17⋊#332 | 2 |
| #14543619 | 2 |
| D17×#486 | 2 |
| #9062 | 17 |