Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
462 conjugacy classes of subgroups; only the 391 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 391 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. #13117130 | C2 | semidirect |
| 2. C2×#11718091 | C2 | semidirect |
| 10. #11718091 | C22 | semidirect |
| 11. C2×#88034 | C22 | semidirect |
| 91. C13 | #33974 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117130 | 2 |
| C2×#11718091 | 2 |
| C2×C13×#504 | 2 |
| #33974 | 13 |