Finite Group DatabasebetaFinite Group Databasebeta| order | 912 |
| isoclinism | isoclinic class of Dic6 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C19 · Schur multiplier (H2) = C22 |
| direct product | C19×(C2×D3)⋊C4 |
| unambiguous semidirect product | (C2×D3)⋊(C4×C19) |
| Fitting | C2×C3×C4×C19 ⋊ C2 |
| Hall | C3×C19 ⋊ C22⋊C4 |
| Sylow | C3 ⋊ C22⋊C4×C19 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 456 |
342 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14269208, #14269210, #14269227, … |
| maximal normal subgroup of | #14269208, #14269210, #14269227, … |
| maximal quotient of | C19×#805, C19×#806, C19×#809, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(912, 84);