Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
2502 conjugacy classes of subgroups; only the 272 normal subgroups are shown.
This group has 2502 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×#11719061 | C2 | semidirect |
| 2. #13130018 | C2 | semidirect |
| 6. C2×C13×#127 | C4 | semidirect |
| 7. C2×#88194 | C4 | semidirect |
| 9. C2×#88128 | C4 | semidirect |
| 49. C42×C13 | C22⋊C4 | semidirect |
| 50. C4×Dic13 | C22⋊C4 | semidirect |
| 78. C2×#127 | #261 | semidirect |
| 136. C42 | C22⋊#261 | semidirect |
| 137. C13 | #14661 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719061 | 2 |
| #13130018 | 2 |
| C2×D13×#127 | 2 |
| #14661 | 13 |