Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
518 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 518 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 4. #13113265 | C2 | semidirect |
| 5. #13112696 | C2 | semidirect |
| 6. #13112695 | C2 | semidirect |
| 7. C13×#1487 | C2 | semidirect |
| 119. #1487 | D13 | semidirect |
| 299. C13 | #9487 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123876 | 2 |
| #13120194 | 2 |
| #13114825 | 2 |
| #13113265 | 2 |
| #13112696 | 2 |
| #13112695 | 2 |
| C13×#1487 | 2 |
| #9487 | 13 |