Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
364 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 91 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. #13112825 | C2 | semidirect |
| 7. C22×Dic52 | C4 | semidirect |
| 10. #11718798 | C4 | semidirect |
| 16. #11718767 | C4 | semidirect |
| 237. C13 | #11869 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124491 | 2 |
| #13114882 | 2 |
| #13112825 | 2 |
| C13×#2115 | 2 |
| #11869 | 13 |