Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
274 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 96. #1055 | Q32 | semidirect |
| 172. C13 | #12528 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117089 | 2 |
| #13117088 | 2 |
| #13117065 | 2 |
| #13114452 | 2 |
| #13114434 | 2 |
| #13112755 | 2 |
| C13×#2241 | 2 |
| #12528 | 13 |