Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1122 conjugacy classes of subgroups; only the 256 normal subgroups are shown.
This group has 1122 conjugacy classes of subgroups — too many to draw. Only its 256 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. #13130293 | C2 | direct (N × H) |
| 3. C2×#11718242 | C2 | semidirect |
| 20. #11718242 | C22 | semidirect |
| 195. C2×C13 | #1526 | semidirect |
| 236. C13 | C2×#1526 | semidirect |
| 276. C2 | #13130293 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×#6122 | 2 |
| #13130293 | 2 |
| C2×#11718242 | 2 |
| C2×#11719222 | 2 |
| C2×#1526 | 13 |