Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
478 conjugacy classes of subgroups; only the 122 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 122 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 |
|---|---|---|
| 45. #88142 | C8 | semidirect |
| 256. C13 | #7591 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130752 | 2 |
| #13130551 | 2 |
| #13129655 | 2 |
| #13129654 | 2 |
| C4×#88142 | 2 |
| #7591 | 13 |