Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
358 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 358 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 |
|---|---|---|
| 2. #13116609 | C2 | semidirect |
| 5. #13112933 | C2 | semidirect |
| 6. #13112931 | C2 | semidirect |
| 7. C13×#2155 | C2 | semidirect |
| 19. C2×#88038 | C4 | semidirect |
| 20. C2×C16×D13 | C4 | semidirect |
| 98. #2155 | D13 | semidirect |
| 234. C13 | #12832 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718568 | 2 |
| #13116609 | 2 |
| #13114883 | 2 |
| #13114879 | 2 |
| #13112933 | 2 |
| #13112931 | 2 |
| C13×#2155 | 2 |
| #12832 | 13 |