Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1054 conjugacy classes of subgroups; only the 360 normal subgroups are shown.
This group has 1054 conjugacy classes of subgroups — too many to draw. Only its 360 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. #13130555 | C2 | semidirect |
| 8. C4×#6122 | C4 | semidirect |
| 31. #88110 | C2×C4 | semidirect |
| 32. C4×#1057 | C2×C4 | semidirect |
| 177. C13 | #20365 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×#6122 | 2 |
| #13130555 | 2 |
| #13130499 | 2 |
| C2×#11718309 | 2 |
| #20365 | 13 |