Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1050 conjugacy classes of subgroups; only the 176 normal subgroups are shown.
This group has 1050 conjugacy classes of subgroups — too many to draw. Only its 176 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 |
|---|---|---|
| 7. C2×C13×#125 | C4 | semidirect |
| 11. C2×#88142 | C4 | semidirect |
| 14. C2×#88124 | C4 | semidirect |
| 26. C2×C4×#261 | Q8 | semidirect |
| 30. C2×#6118 | Q8 | semidirect |
| 140. C2×#125 | #261 | semidirect |
| 251. C13 | #11386 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718247 | 2 |
| #13130500 | 2 |
| C4×(C2×#261)⋊C4 | 2 |
| C2×#11719393 | 2 |
| #11386 | 13 |