Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
724 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 724 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 1. C2×#11718711 | C2 | semidirect |
| 3. #13114759 | C2 | semidirect |
| 4. #13113200 | C2 | semidirect |
| 6. #13112723 | C2 | semidirect |
| 353. C13 | #9989 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718711 | 2 |
| C2×#11718701 | 2 |
| #13114759 | 2 |
| #13113200 | 2 |
| #13113196 | 2 |
| #13112723 | 2 |
| C13×#3193 | 2 |
| #9989 | 13 |