Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
842 conjugacy classes of subgroups; only the 156 normal subgroups are shown.
This group has 842 conjugacy classes of subgroups — too many to draw. Only its 156 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 |
|---|---|---|
| 17. C2×#6122 | Q8 | semidirect |
| 21. C22×#1057 | Q8 | semidirect |
| 163. C13 | #11391 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130542 | 2 |
| #13130502 | 2 |
| #13128238 | 2 |
| #11391 | 13 |