Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
402 conjugacy classes of subgroups; only the 184 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 184 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 |
|---|---|---|
| 14. #11718258 | C4 | semidirect |
| 15. C4×#6092 | C4 | semidirect |
| 16. #11718218 | C4 | semidirect |
| 17. #11718217 | C4 | semidirect |
| 18. C13×#346 | C4 | semidirect |
| 19. C16×Dic13 | C4 | semidirect |
| 20. #11718053 | C4 | semidirect |
| 99. #346 | #261 | semidirect |
| 158. C13 | #12541 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718217 | 2 |
| C2×#11718218 | 2 |
| C4×#88098 | 2 |
| #13130492 | 2 |
| #13116429 | 2 |
| #12541 | 13 |