Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
598 conjugacy classes of subgroups; only the 134 normal subgroups are shown.
This group has 598 conjugacy classes of subgroups — too many to draw. Only its 134 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 |
|---|---|---|
| 11. C13×#430 | C4 | semidirect |
| 12. #11718786 | C4 | semidirect |
| 13. #11718785 | C4 | semidirect |
| 147. #430 | #261 | semidirect |
| 257. C13 | #11374 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130518 | 2 |
| #13130508 | 2 |
| #13130504 | 2 |
| D13×#430 | 2 |
| #11374 | 13 |