Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of #92314 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4 · Schur multiplier (H2) = C2×C3 |
| direct product | C2×#11757618 |
| derived | C92 ⋊ C2×C3×C4 |
| Sylow | #6900 ⋊ C2×C4 |
428 conjugacy classes of subgroups.
| transitive degree | μt(G) = 648 |
120 conjugacy classes — view the full character table.
| maximal subgroup of | C2×C4×#92314, C4×#11757618, C2×#14517678, … |
| maximal normal subgroup of | C2×C4×#92314, C4×#11757618, C2×#14517678, … |
| maximal quotient of | C4×#11757618, #72219995, C2×#14516347, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 2071);