Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
214 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 214 conjugacy classes of subgroups — too many to draw. Only its 78 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 |
|---|---|---|
| 23. C17×Q32 | C8 | semidirect |
| 80. Q32 | #3624 | semidirect |
| 91. C17 | #12066 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544377 | 2 |
| #14543809 | 2 |
| #14543744 | 2 |
| #14543701 | 2 |
| #14530655 | 2 |
| #12066 | 17 |