Finite Group Databasebeta

← Group #264867

Character table — Group #264867

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222444444888888888888888888161616161616161616161616161616163232
order12222244444444448888444444448888888888222224448888888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-11-1-1-1-11111-111-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111-1-1-1-11-1-11-1-1-1-11111-1-1
χ4111111111111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ511111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-111111-1-1-1-11-1-1-1-111-1-11-1-11-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-11111111111-1-111-111-1-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-11111111111-1-111-1-1
χ91111111111111111-1-1-1-1111111-1-1-11111-1-1-1-1-11-11-1-11-1-111-1-1-1-1111-1
χ101111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-11-111-11-1-111-1-1-1-1-11
χ111111111111111111-1-1-1-11111-1-111-11111-1-1-1-1-1-11-11-1-11-1-1-111-1-111-11
χ121111111111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-11-111-11111-1-1-1-1-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-11-1-111-11111-1-111-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-11-1-11-1-1-11111111-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-111-111-11-1-11111-1-11-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-111-1-11-1-111-1-11111-11
χ17222222-22-2-222-22-2-222-2-20000222220000-20000-2-20000000000000000
χ18222222-22-2-222-22-2-222-2-20000-2-2-2-220000-20000220000000000000000
χ19222222-22-2-222-22-2-2-2-222000022-2-2-2000020000-220000000000000000
χ20222222-22-2-222-22-2-2-2-2220000-2-222-20000200002-20000000000000000
χ21222222-2-2-2-2-2-2-2-22200002-22-2000002i2i−2i−2i00000000000000000002i−2i00
χ22222222-2-2-2-2-2-2-2-22200002-22-200000−2i−2i2i2i0000000000000000000−2i2i00
χ23222222-2-2-2-2-2-2-2-2220000-22-22000002i2i−2i−2i0000000000000000000−2i2i00
χ24222222-2-2-2-2-2-2-2-2220000-22-2200000−2i−2i2i2i00000000000000000002i−2i00
χ252222-2-222-2-2-2-2222-2222200000000-20000-2000000220-2-200000000000
χ262222-2-222-2-2-2-2222-2222200000000-20000-2000000-2-202200000000000
χ272222-2-222-2-2-2-2222-2-2-2-2-2000000002000020000002-20-2200000000000
χ282222-2-222-2-2-2-2222-2-2-2-2-200000000200002000000-2202-200000000000
χ292222-2-22-2-2-2222-2-22000022-2-2000000000022-2-20000200-20000000000
χ302222-2-22-2-2-2222-2-22000022-2-20000000000-2-2220000-20020000000000
χ312222-2-22-2-2-2222-2-220000-2-222000000000022-2-20000-20020000000000
χ322222-2-22-2-2-2222-2-220000-2-2220000000000-2-2220000200-20000000000
χ332222-2-2-2222-2-2-22-2222-2-22-2-220000-20000200000000000000002-20000
χ342222-2-2-2222-2-2-22-2222-2-2-222-20000-2000020000000000000000-220000
χ352222-2-2-2222-2-2-22-22-2-2222-2-22000020000-20000000000000000-220000
χ362222-2-2-2222-2-2-22-22-2-222-222-2000020000-200000000000000002-20000
χ374444444-444-4-44-4-4-40000000000000000000000000000000000000000
χ384444-4-4-4-44444-4-44-40000000000000000000000000000000000000000
χ394-44-400400000-400022−2222−220000000002i−2i2i−2i02i2−2i200000000000000000000
χ404-44-400400000-400022−2222−22000000000−2i2i−2i2i0−2i22i200000000000000000000
χ414-44-400400000-4000−2222−22220000000002i−2i2i−2i0−2i22i200000000000000000000
χ424-44-400400000-4000−2222−2222000000000−2i2i−2i2i02i2−2i200000000000000000000
χ434-44-400-400000400022−22−22220000000002-2-2200022−22000000000000000000
χ444-44-400-400000400022−22−2222000000000-222-2000−2222000000000000000000
χ454-44-400-4000004000−222222−220000000002-2-22000−2222000000000000000000
χ464-44-400-4000004000−222222−22000000000-222-200022−22000000000000000000
χ474-4-444-404004-40-40000000000004i−4i0000000000000000000000000000
χ484-4-444-404004-40-4000000000000−4i4i0000000000000000000000000000
χ494-4-444-40-400-4404000000000000000000000000000000000022−22000000
χ504-4-444-40-400-44040000000000000000000000000000000000−2222000000
χ514-4-44-440400-440-400000000004i−4i000000000000000000000000000000
χ524-4-44-440400-440-40000000000−4i4i000000000000000000000000000000
χ534-4-44-440-4004-4040000000000000000000000000000000022−2200000000
χ544-4-44-440-4004-40400000000000000000000000000000000−222200000000
χ5588-8-800008i−8i0000000000000000000000000000000000000000000000
χ5688-8-80000−8i8i0000000000000000000000000000000000000000000000

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