Finite Group DatabasebetaFinite Group Databasebeta| order | 912 |
| isoclinism | isoclinic class of Dic6 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C19 · Schur multiplier (H2) = C23 |
| direct product | C2×C19×D12 |
| Fitting | C2×C3×C4×C19 ⋊ C2 |
| Hall | C3×C19 ⋊ C2×D4 |
| Sylow | C3 ⋊ C2×D4×C19 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 456 |
342 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14268849, #14268856, #14268857, … |
| maximal normal subgroup of | #14268849, #14268856, #14268857, … |
| maximal quotient of | C19×#869, C4×C19×D12, C19×#874, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(912, 185);