Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
312 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 107 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. #13116601 | C2 | semidirect |
| 4. #13116433 | C2 | semidirect |
| 6. #13112926 | C2 | semidirect |
| 7. C13×#1378 | C2 | semidirect |
| 104. #1378 | D13 | semidirect |
| 238. C13 | #13123 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116601 | 2 |
| #13116463 | 2 |
| C2×#11718107 | 2 |
| #13116433 | 2 |
| #13114637 | 2 |
| #13112926 | 2 |
| C13×#1378 | 2 |
| #13123 | 13 |