Finite Group Databasebeta

← Group #254258

Character table — Group #254258

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222222244488888888888888161616161616161616161616161616161616163232
order12222244444444444444444444444224444444448888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111111-1-1-1-1-1-11111-111-1-111-1-1111111-1-1-1-1-1-1
χ61111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ71111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111
χ9111111111111111-1-1-1-111-1-1-1-11111111-1-1-1-111-1-111-1-111-1-11-1
χ10111111111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-11
χ11111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-111-1-111-1-1111-1
χ12111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-11111-1-11111-1-111-1-1-11
χ13111111111111111-1-1-1-1-1-111111111-11111-1-1-1-1-1-111-1-1-1-111-11
χ14111111111111111-1-1-1-1-1-111111111-1-1-11111-1-1-1-1-1-11111-1-11-1
χ15111111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-11111-1-11111-1-1-11
χ16111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-1
χ172222222222-2-2-2-2-222-2-22222-2-20000-200000000000000000000
χ182222222222-2-2-2-2-222-2-2-2-2-2-2220000200000000000000000000
χ192222222222-2-2-2-2-2-2-22222-2-2220000-200000000000000000000
χ202222222222-2-2-2-2-2-2-222-2-222-2-20000200000000000000000000
χ21222222-2-2-2-2222-2-22-22-200000022-2-20000000002-20000000000
χ22222222-2-2-2-2222-2-22-22-2000000-2-222000000000-220000000000
χ23222222-2-2-2-2222-2-2-22-2200000022-2-2000000000-220000000000
χ24222222-2-2-2-2222-2-2-22-22000000-2-2220000000002-20000000000
χ25222222-2-2-2-2-2-2-2222-2-2200000000000002-2002-2000000000000
χ26222222-2-2-2-2-2-2-2222-2-220000000000000-2200-22000000000000
χ27222222-2-2-2-2-2-2-222-222-200000000000002-200-22000000000000
χ28222222-2-2-2-2-2-2-222-222-20000000000000-22002-2000000000000
χ292222-2-22-22-2-2-222-200000000002i−2i2i−2i000002-20000002i−2i000000
χ302222-2-22-22-2-2-222-200000000002i−2i2i−2i00000-22000000−2i2i000000
χ312222-2-22-22-2-2-222-20000000000−2i2i−2i2i000002-2000000−2i2i000000
χ322222-2-22-22-2-2-222-20000000000−2i2i−2i2i00000-220000002i−2i000000
χ332222-2-2-22-22-2-22-2200000000002i−2i−2i2i02-2000000002i−2i00000000
χ342222-2-2-22-22-2-22-2200000000002i−2i−2i2i0-2200000000−2i2i00000000
χ352222-2-2-22-22-2-22-220000000000−2i2i2i−2i02-200000000−2i2i00000000
χ362222-2-2-22-22-2-22-220000000000−2i2i2i−2i0-22000000002i−2i00000000
χ374444-4-44-44-444-4-4400000000000000000000000000000000000
χ384444-4-4-44-4444-44-400000000000000000000000000000000000
χ3944-4-44-444-4-4000000000000000000000000000000000022−220000
χ4044-4-44-444-4-40000000000000000000000000000000000−22220000
χ4144-4-44-4-4-4440000000000000000000000000000000000002i2−2i200
χ4244-4-44-4-4-444000000000000000000000000000000000000−2i22i200
χ4344-4-4-444-4-44000000000004i−4i000000000000000000000000000
χ4444-4-4-444-4-4400000000000−4i4i000000000000000000000000000
χ4544-4-4-44-444-40000000004i−4i00000000000000000000000000000
χ4644-4-4-44-444-4000000000−4i4i00000000000000000000000000000
χ478-88-800000000000000000004i−4i0000000000000000000000000
χ488-88-80000000000000000000−4i4i0000000000000000000000000
χ498-8-880000008i−8i00000000000000000000000000000000000000
χ508-8-88000000−8i8i00000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).