Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1062 conjugacy classes of subgroups; only the 299 normal subgroups are shown.
This group has 1062 conjugacy classes of subgroups — too many to draw. Only its 299 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 |
|---|---|---|
| 2. #13114979 | C2 | semidirect |
| 3. #13114978 | C2 | semidirect |
| 5. C13×#1839 | C2 | semidirect |
| 54. C42×C13 | M16 | semidirect |
| 61. C4×Dic13 | M16 | semidirect |
| 67. #1839 | D13 | semidirect |
| 164. C42 | #6094 | semidirect |
| 165. C13 | #20772 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C43×D13 | 2 |
| #13114979 | 2 |
| #13114978 | 2 |
| #13114528 | 2 |
| C13×#1839 | 2 |
| #20772 | 13 |