Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
392 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 20. C13×C4⋊Q8 | C8 | semidirect |
| 136. C4⋊Q8 | #1055 | semidirect |
| 192. C13 | #11482 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13113160 | 2 |
| #13112780 | 2 |
| #13112770 | 2 |
| C13×#2327 | 2 |
| #11482 | 13 |