Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
418 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 3. #13113622 | C2 | semidirect |
| 4. #13113621 | C2 | semidirect |
| 6. #13112735 | C2 | semidirect |
| 7. C13×#1302 | C2 | semidirect |
| 122. #1302 | D13 | semidirect |
| 303. C13 | #8864 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123864 | 2 |
| #13115634 | 2 |
| #13113622 | 2 |
| #13113621 | 2 |
| #13113156 | 2 |
| #13112735 | 2 |
| C13×#1302 | 2 |
| #8864 | 13 |