Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
418 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 108 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×#11718222 | C2 | semidirect |
| 2. C2×#11718221 | C2 | semidirect |
| 4. #13129894 | C2 | semidirect |
| 10. C2×C13×M32 | C4 | semidirect |
| 11. C2×#88052 | C4 | semidirect |
| 14. C2×#88038 | C4 | semidirect |
| 15. C2×#88038 | C4 | semidirect |
| 90. C13×C16 | C22⋊C4 | semidirect |
| 92. #6090 | C22⋊C4 | semidirect |
| 141. C2×M32 | #261 | semidirect |
| 247. C16 | C22⋊#261 | semidirect |
| 248. C13 | #12836 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718222 | 2 |
| C2×#11718221 | 2 |
| #13130713 | 2 |
| #13129894 | 2 |
| C2×D13×M32 | 2 |
| #12836 | 13 |