Finite Group Databasebeta

← Group #273744

Character table — Group #273744

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112244444444448888888888888888161616161616161616161616161616323232
order12224422244444442444448888888888224444888888888288
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-11-1-1-1-1-1-1-1-1-1111-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111-1-1-1111
χ51111111111111111-11-11-1-111111111-1-1-11-11-1-111-1-111-1-1-1-1-11
χ61111111111111111-11-11-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1-111-1
χ71111111111111111-11-11-1-1-1-1-1-1-1-1-1-111-11-11-1-111-1-1-1-111111-1
χ81111111111111111-11-11-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111-1-11
χ91111111-1-11-1-111111-11-1111111-1-1-1-111-11-1111-1-1-1-1-1-11-1-11-11
χ101111111-1-11-1-111111-11-1111111-1-1-1-111-1-1-1-1-1-11111111-1-1-11-1
χ111111111-1-11-1-111111-11-111-1-1-1-11111-1-1-11-1111-1-1-1-111-111-11-1
χ121111111-1-11-1-111111-11-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1111-11
χ131111111-1-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-111-111
χ141111111-1-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11-11-11111-1-111-1111-1-1
χ151111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111-1-11-1-1
χ161111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111111-11-11111-1-1-1-11-1-1-111
χ17222222222-2-2-2-2-22-2020-200000000000000002-2002-200000000
χ18222222222-2-2-2-2-22-2020-20000000000000000-2200-2200000000
χ192222222-2-2-222-2-22-20-20200000000000000002-200-2200000000
χ202222222-2-2-222-2-22-20-2020000000000000000-22002-200000000
χ21222222-222222-2-2-220-20-2000000000000020-2002-20000000000
χ22222222-222222-2-2-220-20-20000000000000-20200-220000000000
χ23222222-222-2-2-222-2-22-222-2-2000000000020-2000000000000000
χ24222222-222-2-2-222-2-2-2-2-22220000000000-202000000000000000
χ25222222-2-2-22-2-2-2-2-220202000000000000020-200-220000000000
χ26222222-2-2-22-2-2-2-2-2202020000000000000-202002-20000000000
χ27222222-2-2-2-22222-2-2222-2-2-20000000000-202000000000000000
χ28222222-2-2-2-22222-2-2-22-2-222000000000020-2000000000000000
χ292222-2-22002002-2-2-220-202-200002i2i−2i−2i0000000000000002i−2i000
χ302222-2-22002002-2-2-220-202-20000−2i−2i2i2i000000000000000−2i2i000
χ312222-2-22002002-2-2-2-2020-2200002i2i−2i−2i000000000000000−2i2i000
χ322222-2-22002002-2-2-2-2020-220000−2i−2i2i2i0000000000000002i−2i000
χ332222-2-2-200-2002-22220-20-2222-2-2000022000000000000-200000
χ342222-2-2-200-2002-22220-20-22-2-2220000-2-2000000000000200000
χ352222-2-2-200-2002-222-20202-222-2-20000-2-2000000000000200000
χ362222-2-2-200-2002-222-20202-2-2-222000022000000000000-200000
χ374444-4-4400-400-44-440000000000000000000000000000000000
χ384444-4-4-400400-444-40000000000000000000000000000000000
χ3944-4-44-400004i−4i00000000002i−2i2i−2i2-22-200000000000000000000
χ4044-4-44-400004i−4i0000000000−2i2i−2i2i-22-2200000000000000000000
χ4144-4-44-40000−4i4i00000000002i−2i2i−2i-22-2200000000000000000000
χ4244-4-44-40000−4i4i0000000000−2i2i−2i2i2-22-200000000000000000000
χ4344-4-4-4404-400000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ4444-4-4-4404-40000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ4544-4-4-440-4400000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000
χ4644-4-4-440-440000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ478-88-80000000000000000000000000000000000000022−22000000
χ488-88-800000000000000000000000000000000000000−2222000000
χ498-8-88000000000000000000000000004-4000000000000000000
χ508-8-8800000000000000000000000000-44000000000000000000

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