Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
504 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 131 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. #13127824 | C2 | semidirect |
| 2. #13117104 | C2 | semidirect |
| 4. #13116898 | C2 | semidirect |
| 6. #13116885 | C2 | semidirect |
| 7. #13116744 | C2 | semidirect |
| 8. #13116699 | C2 | semidirect |
| 9. C4×C13×Q32 | C2 | semidirect |
| 114. C4×Q32 | D13 | semidirect |
| 248. C13 | #33969 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127824 | 2 |
| #13117104 | 2 |
| #13117097 | 2 |
| #13116898 | 2 |
| #13116894 | 2 |
| #13116885 | 2 |
| #13116744 | 2 |
| #13116699 | 2 |
| C4×C13×Q32 | 2 |
| #33969 | 13 |