Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
680 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 680 conjugacy classes of subgroups — too many to draw. Only its 87 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. #13112856 | C2 | semidirect |
| 5. C23×Dic26 | C4 | semidirect |
| 10. C2×#88071 | C4 | semidirect |
| 14. #11718608 | C4 | semidirect |
| 288. C13 | #11808 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718608 | 2 |
| #13113163 | 2 |
| #13112856 | 2 |
| C13×#1819 | 2 |
| #11808 | 13 |