Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
418 conjugacy classes of subgroups; only the 200 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 200 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 |
|---|---|---|
| 13. #11718262 | C4 | semidirect |
| 14. #11718258 | C4 | semidirect |
| 15. #11718257 | C4 | semidirect |
| 16. #11718232 | C4 | semidirect |
| 60. #6092 | C42 | semidirect |
| 106. Dic13 | #347 | semidirect |
| 154. C13 | C4×#347 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718262 | 2 |
| C2×#11718232 | 2 |
| #13131042 | 2 |
| #97×Dic13 | 2 |
| C4×#347 | 13 |