Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
858 conjugacy classes of subgroups; only the 254 normal subgroups are shown.
This group has 858 conjugacy classes of subgroups — too many to draw. Only its 254 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 |
|---|---|---|
| 10. #11718269 | C4 | semidirect |
| 11. C13×#338 | C4 | semidirect |
| 12. #11718152 | C4 | semidirect |
| 89. #338 | #261 | direct (N × H) |
| 97. #261 | #338 | direct (N × H) |
| 150. C13 | C4×#338 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×M16×#261 | 2 |
| D13⋊#338 | 2 |
| D13×#338 | 2 |
| C4×#338 | 13 |