Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
220 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 77 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 |
|---|---|---|
| 1. #13113745 | C2 | semidirect |
| 3. #13112902 | C2 | semidirect |
| 4. #13112806 | C2 | semidirect |
| 6. #13112758 | C2 | semidirect |
| 169. C13 | #12077 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13113745 | 2 |
| #13113660 | 2 |
| #13112902 | 2 |
| #13112806 | 2 |
| #13112803 | 2 |
| #13112758 | 2 |
| C13×#2175 | 2 |
| #12077 | 13 |