Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1026 conjugacy classes of subgroups; only the 368 normal subgroups are shown.
This group has 1026 conjugacy classes of subgroups — too many to draw. Only its 368 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. #13130631 | C2 | semidirect |
| 9. #11719125 | C4 | semidirect |
| 33. #88112 | C2×C4 | semidirect |
| 35. C4×#1057 | C2×C4 | semidirect |
| 92. C2×Dic13 | #97 | semidirect |
| 184. C13 | #20536 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719125 | 2 |
| #13130631 | 2 |
| #13130562 | 2 |
| C2×#11718310 | 2 |
| #20536 | 13 |