Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
342 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 90 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 |
|---|---|---|
| 240. C13 | #8625 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130398 | 2 |
| #13130396 | 2 |
| #13130098 | 2 |
| #13129701 | 2 |
| C2×#11718362 | 2 |
| #8625 | 13 |