Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
150 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 25. #10587465 | Q8 | semidirect |
| 85. C17 | #13734 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531059 | 2 |
| #14526985 | 2 |
| #14526983 | 2 |
| #14526918 | 2 |
| C17×#2253 | 2 |
| #13734 | 17 |