Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
310 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 102 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 |
|---|---|---|
| 15. #11718262 | C4 | semidirect |
| 16. #11718232 | C4 | semidirect |
| 17. C13×#347 | C4 | semidirect |
| 18. #11718104 | C4 | semidirect |
| 19. #11718058 | C4 | semidirect |
| 111. #347 | #261 | semidirect |
| 180. C13 | #12596 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131053 | 2 |
| #13130494 | 2 |
| #13129882 | 2 |
| #13129879 | 2 |
| D13×#347 | 2 |
| #12596 | 13 |