Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
346 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 100 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 |
|---|---|---|
| 55. #88064 | C8 | semidirect |
| 256. C13 | #9549 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130387 | 2 |
| #13130140 | 2 |
| C2×#11718244 | 2 |
| M16×#1057 | 2 |
| #13129682 | 2 |
| #13129669 | 2 |
| #13114631 | 2 |
| #9549 | 13 |