Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
244 conjugacy classes of subgroups; only the 52 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 52 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 |
|---|---|---|
| 171. C13 | #7248 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131007 | 2 |
| #13130100 | 2 |
| #13113178 | 2 |
| #7248 | 13 |