Finite Group DatabasebetaFinite Group Databasebeta| order | 1080 |
| isoclinism | isoclinic class of #67180 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3 · Schur multiplier (H2) = C3 |
| direct product | C3×#67180 |
| Hall | C33×C5 ⋊ Q8 |
| Sylow | C33 ⋊ Dic10 |
| Sylow | C5 ⋊ C3×#634 |
192 conjugacy classes of subgroups.
| transitive degree | μt(G) = 360 |
279 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1080, 469);