Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1142 conjugacy classes of subgroups; only the 296 normal subgroups are shown.
This group has 1142 conjugacy classes of subgroups — too many to draw. Only its 296 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 |
|---|---|---|
| 3. #13131009 | C2 | semidirect |
| 31. C2×D13⋊C8 | Q8 | semidirect |
| 219. C13 | #21301 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719052 | 2 |
| C2×#11719047 | 2 |
| #13131009 | 2 |
| #13130503 | 2 |
| C2×#11719393 | 2 |
| #21301 | 13 |