Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
2734 conjugacy classes of subgroups; only the 411 normal subgroups are shown.
This group has 2734 conjugacy classes of subgroups — too many to draw. Only its 411 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. #13113081 | C2 | semidirect |
| 7. C22×C4⋊Dic13 | C22 | semidirect |
| 8. C13×#379 | C4 | semidirect |
| 10. C2×#88071 | C22 | semidirect |
| 38. C24×C13 | C4⋊C4 | semidirect |
| 88. #379 | Dic13 | semidirect |
| 139. C24 | C4⋊Dic13 | semidirect |
| 153. C13 | #14673 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718908 | 2 |
| #13113081 | 2 |
| C2×C13×#379 | 2 |
| #14673 | 13 |