Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
356 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 82 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 |
|---|---|---|
| 25. C13×#332 | C4 | semidirect |
| 26. #11718139 | C4 | semidirect |
| 27. #11718078 | C4 | semidirect |
| 28. #11718074 | C4 | semidirect |
| 157. #332 | #261 | semidirect |
| 247. C13 | #8936 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131747 | 2 |
| #13131021 | 2 |
| #13130414 | 2 |
| #13129663 | 2 |
| #13113499 | 2 |
| #8936 | 13 |