Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
136 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 136 conjugacy classes of subgroups — too many to draw. Only its 55 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. #13112970 | C2 | semidirect |
| 2. #13112910 | C2 | semidirect |
| 14. C13×D16 | C8 | semidirect |
| 70. D16 | #1055 | semidirect |
| 95. C13 | #7385 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13112970 | 2 |
| #13112910 | 2 |
| C4×C13×D16 | 2 |
| #7385 | 13 |