Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
372 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 70 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 |
|---|---|---|
| 8. C2×C13×C4⋊C8 | C4 | semidirect |
| 11. C2×C4×#1055 | C4 | semidirect |
| 14. #11718285 | C4 | semidirect |
| 33. #88107 | C8 | semidirect |
| 120. C2×C4⋊C8 | #261 | semidirect |
| 222. C13 | #7205 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88107 | 2 |
| #13130073 | 2 |
| #13115629 | 2 |
| #7205 | 13 |