Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
274 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 55 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. C2×#11718114 | C2 | semidirect |
| 3. #13116958 | C2 | semidirect |
| 4. #13113030 | C2 | semidirect |
| 5. #13113020 | C2 | semidirect |
| 6. #13112979 | C2 | semidirect |
| 7. C13×#2264 | C2 | semidirect |
| 82. #2264 | D13 | semidirect |
| 196. C13 | #13672 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127986 | 2 |
| C2×#11718114 | 2 |
| #13116958 | 2 |
| #13113030 | 2 |
| #13113020 | 2 |
| #13112979 | 2 |
| C13×#2264 | 2 |
| #13672 | 13 |