Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
342 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 110 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 |
|---|---|---|
| 17. #11718255 | C4 | semidirect |
| 18. #11718254 | C4 | semidirect |
| 23. C13×#335 | C4 | semidirect |
| 24. #11718072 | C4 | semidirect |
| 25. #11718072 | C4 | semidirect |
| 26. #11718050 | C4 | semidirect |
| 130. #335 | #261 | semidirect |
| 212. C13 | #8270 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130549 | 2 |
| #13130386 | 2 |
| #13130052 | 2 |
| #13130042 | 2 |
| #13129663 | 2 |
| #13113583 | 2 |
| #8270 | 13 |