Finite Group DatabasebetaFinite Group Databasebeta| order | 1512 |
| isoclinism | isoclinic class of Dic18 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C7 · Schur multiplier (H2) = C1 |
| direct product | C3×C7×Dic18 |
| Hall | C3×C7×C9 ⋊ Q8 |
| Sylow | C3×C9 ⋊ C7×Q8 |
84 conjugacy classes of subgroups.
| transitive degree | μt(G) = 504 |
441 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1512, 354);