Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1854 conjugacy classes of subgroups; only the 272 normal subgroups are shown.
This group has 1854 conjugacy classes of subgroups — too many to draw. Only its 272 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×#11719060 | C2 | semidirect |
| 2. #13130026 | C2 | semidirect |
| 3. #13130019 | C2 | semidirect |
| 10. C2×C13×#124 | C4 | semidirect |
| 11. C2×#88201 | C4 | semidirect |
| 12. C2×#88190 | C4 | semidirect |
| 14. C2×#88139 | C4 | semidirect |
| 16. C2×#88129 | C4 | semidirect |
| 103. C42×C13 | C22⋊C4 | semidirect |
| 107. C4×Dic13 | C22⋊C4 | semidirect |
| 108. C4×Dic13 | C22⋊C4 | semidirect |
| 167. C2×#124 | #261 | semidirect |
| 293. C42 | C22⋊#261 | semidirect |
| 294. C13 | #14662 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719060 | 2 |
| #13130026 | 2 |
| #13130019 | 2 |
| #13130018 | 2 |
| C2×D13×#124 | 2 |
| #14662 | 13 |