Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
436 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 84. C2×Dic34 | Q16 | semidirect |
| 98. C4⋊Dic17 | Q16 | semidirect |
| 245. C17 | #7784 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14536743 | 2 |
| #14530109 | 2 |
| #14529922 | 2 |
| #14526610 | 2 |
| #14526609 | 2 |
| #14526608 | 2 |
| C17×#2016 | 2 |
| #7784 | 17 |