Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
216 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 15. #11718047 | C4 | semidirect |
| 16. #11718046 | C4 | semidirect |
| 17. #11718046 | C4 | semidirect |
| 18. C8×#1055 | C4 | semidirect |
| 165. C13 | #8803 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13113139 | 2 |
| #13112709 | 2 |
| #13112708 | 2 |
| #13112707 | 2 |
| #13112700 | 2 |
| C13×#1288 | 2 |
| #8803 | 13 |