Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
158 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 82 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 |
|---|---|---|
| 33. #10587467 | Q8 | semidirect |
| 109. C17 | #13660 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14543942 | 2 |
| C4⋊#10587467 | 2 |
| #14543892 | 2 |
| #14543891 | 2 |
| #14543889 | 2 |
| #14530686 | 2 |
| #13660 | 17 |