Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
908 conjugacy classes of subgroups; only the 407 normal subgroups are shown.
This group has 908 conjugacy classes of subgroups — too many to draw. Only its 407 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 |
|---|---|---|
| 2. #13114592 | C2 | semidirect |
| 9. M16×Dic13 | C4 | semidirect |
| 10. #11718762 | C4 | semidirect |
| 29. #88055 | C2×C4 | semidirect |
| 30. C8×Dic13 | C2×C4 | semidirect |
| 138. C13 | #20370 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123254 | 2 |
| #13114592 | 2 |
| C2×#11718149 | 2 |
| C2×C13×#338 | 2 |
| #20370 | 13 |