Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
400 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 78 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 |
|---|---|---|
| 329. C13 | #9434 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131746 | 2 |
| #13130376 | 2 |
| #13130350 | 2 |
| #13130346 | 2 |
| #13129721 | 2 |
| #13125381 | 2 |
| #9434 | 13 |