Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
318 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 318 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 21. #11718074 | C4 | semidirect |
| 22. #11718074 | C4 | semidirect |
| 23. #11718073 | C4 | semidirect |
| 24. #11718073 | C4 | semidirect |
| 251. C13 | #9591 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13115779 | 2 |
| #13115609 | 2 |
| #13113491 | 2 |
| #13113290 | 2 |
| #13113126 | 2 |
| #13112677 | 2 |
| C13×#1303 | 2 |
| #9591 | 13 |