Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1566 conjugacy classes of subgroups; only the 424 normal subgroups are shown.
This group has 1566 conjugacy classes of subgroups — too many to draw. Only its 424 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 |
|---|---|---|
| 12. #11719061 | C4 | semidirect |
| 13. C42×#261 | C4 | semidirect |
| 14. C13×#383 | C4 | semidirect |
| 15. #11718598 | C4 | semidirect |
| 17. #11718312 | C4 | semidirect |
| 61. C42×C13 | C42 | semidirect |
| 62. C4×Dic13 | C42 | semidirect |
| 100. #383 | #261 | direct (N × H) |
| 114. #261 | #383 | direct (N × H) |
| 167. C42 | C4×#261 | semidirect |
| 168. C13 | C4×#383 | 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 |
| #13130011 | 2 |
| #95×#261 | 2 |
| D13×#383 | 2 |
| C4×#383 | 13 |