Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1208 conjugacy classes of subgroups; only the 311 normal subgroups are shown.
This group has 1208 conjugacy classes of subgroups — too many to draw. Only its 311 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 |
|---|---|---|
| 1. #13123315 | C2 | semidirect |
| 2. #13116531 | C2 | semidirect |
| 3. #13116521 | C2 | semidirect |
| 17. #11718140 | C22 | semidirect |
| 18. #11718134 | C22 | semidirect |
| 225. C13 | #33371 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123315 | 2 |
| #13116531 | 2 |
| #13116521 | 2 |
| C13×#3500 | 2 |
| #33371 | 13 |