Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
480 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 110 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 |
|---|---|---|
| 37. C2×#6107 | C8 | semidirect |
| 287. C13 | #9088 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131731 | 2 |
| #13130140 | 2 |
| #13130138 | 2 |
| #13130079 | 2 |
| #13129676 | 2 |
| #13129662 | 2 |
| C2×#11718450 | 2 |
| #9088 | 13 |