Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
634 conjugacy classes of subgroups; only the 144 normal subgroups are shown.
This group has 634 conjugacy classes of subgroups — too many to draw. Only its 144 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 |
|---|---|---|
| 16. C13×#341 | C4 | semidirect |
| 17. #11718150 | C4 | semidirect |
| 18. #11718144 | C4 | semidirect |
| 151. #341 | #261 | semidirect |
| 260. C13 | #11270 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88102 | 2 |
| C2×#11718271 | 2 |
| #13130524 | 2 |
| #13130501 | 2 |
| D13×#341 | 2 |
| #11270 | 13 |