Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
276 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 78. Dic52 | Q16 | semidirect |
| 197. C13 | #12405 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127729 | 2 |
| #13116975 | 2 |
| #13114227 | 2 |
| #13112891 | 2 |
| #13112816 | 2 |
| #13112801 | 2 |
| C13×#2252 | 2 |
| #12405 | 13 |