Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1770 conjugacy classes of subgroups; only the 312 normal subgroups are shown.
This group has 1770 conjugacy classes of subgroups — too many to draw. Only its 312 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 |
|---|---|---|
| 1. C2×#11719061 | C2 | semidirect |
| 2. C2×C42×#261 | C2 | semidirect |
| 4. #13130015 | C2 | semidirect |
| 8. C2×C13×#126 | C4 | semidirect |
| 11. C2×#88152 | C4 | semidirect |
| 14. C2×#88133 | C4 | semidirect |
| 15. C2×#88130 | C4 | semidirect |
| 78. C42×C13 | C22⋊C4 | semidirect |
| 85. C4×Dic13 | C22⋊C4 | semidirect |
| 108. C2×#261 | #126 | semidirect |
| 126. C2×#126 | #261 | semidirect |
| 223. C42 | C22⋊#261 | semidirect |
| 224. C13 | #14711 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719061 | 2 |
| C2×C42×#261 | 2 |
| #13130017 | 2 |
| #13130015 | 2 |
| C2×D13×#126 | 2 |
| #14711 | 13 |