Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
626 conjugacy classes of subgroups; only the 150 normal subgroups are shown.
This group has 626 conjugacy classes of subgroups — too many to draw. Only its 150 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 |
|---|---|---|
| 8. #11719061 | C4 | semidirect |
| 11. #11719057 | C4 | semidirect |
| 12. C2×C13×C4⋊C8 | C4 | semidirect |
| 14. C2×C8×Dic13 | C4 | semidirect |
| 15. C2×C4⋊#1055 | C4 | semidirect |
| 120. C2×C4⋊C8 | #261 | semidirect |
| 215. C13 | #7980 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131283 | 2 |
| #13129699 | 2 |
| C2×#11718494 | 2 |
| #7980 | 13 |