Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
214 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 214 conjugacy classes of subgroups — too many to draw. Only its 112 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. #13129948 | C2 | semidirect |
| 3. #13129947 | C2 | semidirect |
| 9. #11718214 | C4 | semidirect |
| 10. D13⋊C32 | C4 | semidirect |
| 117. C13 | #13551 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊M64 | 2 |
| #13129948 | 2 |
| #13129947 | 2 |
| #13116431 | 2 |
| #13551 | 13 |