Finite Group Databasebeta

← Group #359376

Character table — Group #359376

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222224444888888888888111122222244448888888888881111222222444488888888888811112222224444888888888888
order12442224448888448888888888444444444488884488888888882244222444888844888888888844444444448888448888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111
χ311111111111111-1-111-1-111-1-1-1-111111111111111-1-111-1-111-1-1-1-111111111111111-1-111-1-111-1-1-1-111111111111111-1-111-1-111-1-1-1-1
χ411111111111111-1-1-1-111-1-111-1-111111111111111-1-1-1-111-1-111-1-111111111111111-1-1-1-111-1-111-1-111111111111111-1-1-1-111-1-111-1-1
χ51111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-1
χ61111111111-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-1
χ71111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111
χ81111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111
χ922222-2-22-2-20000000000002i−2i0022222-2-22-2-20000000000002i−2i0022222-2-22-2-20000000000002i−2i0022222-2-22-2-20000000000002i−2i00
χ1022222-2-22-2-2000000000000−2i2i0022222-2-22-2-2000000000000−2i2i0022222-2-22-2-2000000000000−2i2i0022222-2-22-2-2000000000000−2i2i00
χ112222-22-2-22-200000000002i−2i00002222-22-2-22-200000000002i−2i00002222-22-2-22-200000000002i−2i00002222-22-2-22-200000000002i−2i0000
χ122222-22-2-22-20000000000−2i2i00002222-22-2-22-20000000000−2i2i00002222-22-2-22-20000000000−2i2i00002222-22-2-22-20000000000−2i2i0000
χ132222-2-22-2-22000000000000002-22222-2-22-2-22000000000000002-22222-2-22-2-22000000000000002-22222-2-22-2-22000000000000002-2
χ142222-2-22-2-2200000000000000-222222-2-22-2-2200000000000000-222222-2-22-2-2200000000000000-222222-2-22-2-2200000000000000-22
χ1522-2-2222-2-2-200002-2000000000022-2-2222-2-2-200002-2000000000022-2-2222-2-2-200002-2000000000022-2-2222-2-2-200002-20000000000
χ1622-2-2222-2-2-20000-22000000000022-2-2222-2-2-20000-22000000000022-2-2222-2-2-20000-22000000000022-2-2222-2-2-20000-220000000000
χ1722-2-22-2-2-2220000002i−2i0000000022-2-22-2-2-2220000002i−2i0000000022-2-22-2-2-2220000002i−2i0000000022-2-22-2-2-2220000002i−2i00000000
χ1822-2-22-2-2-222000000−2i2i0000000022-2-22-2-2-222000000−2i2i0000000022-2-22-2-2-222000000−2i2i0000000022-2-22-2-2-222000000−2i2i00000000
χ1922-2-2-22-22-22000000002i−2i00000022-2-2-22-22-22000000002i−2i00000022-2-2-22-22-22000000002i−2i00000022-2-2-22-22-22000000002i−2i000000
χ2022-2-2-22-22-2200000000−2i2i00000022-2-2-22-22-2200000000−2i2i00000022-2-2-22-22-2200000000−2i2i00000022-2-2-22-22-2200000000−2i2i000000
χ2122-2-2-2-2222-22i2i−2i−2i00000000000022-2-2-2-2222-22i2i−2i−2i00000000000022-2-2-2-2222-22i2i−2i−2i00000000000022-2-2-2-2222-22i2i−2i−2i000000000000
χ2222-2-2-2-2222-2−2i−2i2i2i00000000000022-2-2-2-2222-2−2i−2i2i2i00000000000022-2-2-2-2222-2−2i−2i2i2i00000000000022-2-2-2-2222-2−2i−2i2i2i000000000000
χ234-44i−4i0000002ζ−2ζ2ζ3−2ζ30000000000004-44i−4i0000002ζ−2ζ2ζ3−2ζ30000000000004-44i−4i0000002ζ−2ζ2ζ3−2ζ30000000000004-44i−4i0000002ζ−2ζ2ζ3−2ζ3000000000000
χ244-44i−4i000000−2ζ2ζ−2ζ32ζ30000000000004-44i−4i000000−2ζ2ζ−2ζ32ζ30000000000004-44i−4i000000−2ζ2ζ−2ζ32ζ30000000000004-44i−4i000000−2ζ2ζ−2ζ32ζ3000000000000
χ254-4−4i4i0000002ζ3−2ζ32ζ−2ζ0000000000004-4−4i4i0000002ζ3−2ζ32ζ−2ζ0000000000004-4−4i4i0000002ζ3−2ζ32ζ−2ζ0000000000004-4−4i4i0000002ζ3−2ζ32ζ−2ζ000000000000
χ264-4−4i4i000000−2ζ32ζ3−2ζ2ζ0000000000004-4−4i4i000000−2ζ32ζ3−2ζ2ζ0000000000004-4−4i4i000000−2ζ32ζ3−2ζ2ζ0000000000004-4−4i4i000000−2ζ32ζ3−2ζ2ζ000000000000
χ2711111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ281111111111111111-1-1-1-1-1-1-1-111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i
χ2911111111111111-1-111-1-111-1-1-1-1iiiiiiiiiiiiii−i−iii−i−iii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−iii−i−iiiii
χ3011111111111111-1-1-1-111-1-111-1-1iiiiiiiiiiiiii−i−i−i−iii−i−iii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−iii−i−iii
χ311111111111-1-1-1-11111-1-1-1-111-1-1iiiiiiiiii−i−i−i−iiiii−i−i−i−iii−i−i-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−i−iii
χ321111111111-1-1-1-111-1-11111-1-1-1-1iiiiiiiiii−i−i−i−iii−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111−i−i−i−i−i−i−i−i−i−iiiii−i−iii−i−i−i−iiiii
χ331111111111-1-1-1-1-1-11111-1-1-1-111iiiiiiiiii−i−i−i−i−i−iiiii−i−i−i−iii-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1−i−i−i−i−i−i−i−i−i−iiiiiii−i−i−i−iiiii−i−i
χ341111111111-1-1-1-1-1-1-1-1-1-1111111iiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiii-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i
χ3522222-2-22-2-20000000000002i−2i002i2i2i2i2i−2i−2i2i−2i−2i000000000000-2200-2-2-2-2-222-222000000000000−2i2i00−2i−2i−2i−2i−2i2i2i−2i2i2i0000000000002-200
χ3622222-2-22-2-2000000000000−2i2i002i2i2i2i2i−2i−2i2i−2i−2i0000000000002-200-2-2-2-2-222-2220000000000002i−2i00−2i−2i−2i−2i−2i2i2i−2i2i2i000000000000-2200
χ372222-22-2-22-200000000002i−2i00002i2i2i2i−2i2i−2i−2i2i−2i0000000000-220000-2-2-2-22-222-220000000000−2i2i0000−2i−2i−2i−2i2i−2i2i2i−2i2i00000000002-20000
χ382222-22-2-22-20000000000−2i2i00002i2i2i2i−2i2i−2i−2i2i−2i00000000002-20000-2-2-2-22-222-2200000000002i−2i0000−2i−2i−2i−2i2i−2i2i2i−2i2i0000000000-220000
χ392222-2-22-2-22000000000000002-22i2i2i2i−2i−2i2i−2i−2i2i000000000000002i−2i-2-2-2-222-222-200000000000000-22−2i−2i−2i−2i2i2i−2i2i2i−2i00000000000000−2i2i
χ402222-2-22-2-2200000000000000-222i2i2i2i−2i−2i2i−2i−2i2i00000000000000−2i2i-2-2-2-222-222-2000000000000002-2−2i−2i−2i−2i2i2i−2i2i2i−2i000000000000002i−2i
χ4122-2-2222-2-2-200002-200000000002i2i−2i−2i2i2i2i−2i−2i−2i00002i−2i0000000000-2-222-2-2-22220000-220000000000−2i−2i2i2i−2i−2i−2i2i2i2i0000−2i2i0000000000
χ4222-2-2222-2-2-20000-2200000000002i2i−2i−2i2i2i2i−2i−2i−2i0000−2i2i0000000000-2-222-2-2-222200002-20000000000−2i−2i2i2i−2i−2i−2i2i2i2i00002i−2i0000000000
χ4322-2-22-2-2-2220000002i−2i000000002i2i−2i−2i2i−2i−2i−2i2i2i000000-2200000000-2-222-2222-2-2000000−2i2i00000000−2i−2i2i2i−2i2i2i2i−2i−2i0000002-200000000
χ4422-2-22-2-2-222000000−2i2i000000002i2i−2i−2i2i−2i−2i−2i2i2i0000002-200000000-2-222-2222-2-20000002i−2i00000000−2i−2i2i2i−2i2i2i2i−2i−2i000000-2200000000
χ4522-2-2-22-22-22000000002i−2i0000002i2i−2i−2i−2i2i−2i2i−2i2i00000000-22000000-2-2222-22-22-200000000−2i2i000000−2i−2i2i2i2i−2i2i−2i2i−2i000000002-2000000
χ4622-2-2-22-22-2200000000−2i2i0000002i2i−2i−2i−2i2i−2i2i−2i2i000000002-2000000-2-2222-22-22-2000000002i−2i000000−2i−2i2i2i2i−2i2i−2i2i−2i00000000-22000000
χ4722-2-2-2-2222-22i2i−2i−2i0000000000002i2i−2i−2i−2i−2i2i2i2i−2i-2-222000000000000-2-22222-2-2-22−2i−2i2i2i000000000000−2i−2i2i2i2i2i−2i−2i−2i2i22-2-2000000000000
χ4822-2-2-2-2222-2−2i−2i2i2i0000000000002i2i−2i−2i−2i−2i2i2i2i−2i22-2-2000000000000-2-22222-2-2-222i2i−2i−2i000000000000−2i−2i2i2i2i2i−2i−2i−2i2i-2-222000000000000
χ494-44i−4i0000002ζ−2ζ2ζ3−2ζ30000000000004i−4i-440000002ζ3−2ζ3−2ζ2ζ000000000000-44−4i4i000000−2ζ2ζ−2ζ32ζ3000000000000−4i4i4-4000000−2ζ32ζ32ζ−2ζ000000000000
χ504-44i−4i000000−2ζ2ζ−2ζ32ζ30000000000004i−4i-44000000−2ζ32ζ32ζ−2ζ000000000000-44−4i4i0000002ζ−2ζ2ζ3−2ζ3000000000000−4i4i4-40000002ζ3−2ζ3−2ζ2ζ000000000000
χ514-4−4i4i0000002ζ3−2ζ32ζ−2ζ0000000000004i−4i4-4000000−2ζ2ζ2ζ3−2ζ3000000000000-444i−4i000000−2ζ32ζ3−2ζ2ζ000000000000−4i4i-440000002ζ−2ζ−2ζ32ζ3000000000000
χ524-4−4i4i000000−2ζ32ζ3−2ζ2ζ0000000000004i−4i4-40000002ζ−2ζ−2ζ32ζ3000000000000-444i−4i0000002ζ3−2ζ32ζ−2ζ000000000000−4i4i-44000000−2ζ2ζ2ζ3−2ζ3000000000000
χ5311111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ541111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ5511111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111
χ5611111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ571111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ581111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111
χ591111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ601111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ6122222-2-22-2-20000000000002i−2i00-2-2-2-2-222-222000000000000−2i2i0022222-2-22-2-20000000000002i−2i00-2-2-2-2-222-222000000000000−2i2i00
χ6222222-2-22-2-2000000000000−2i2i00-2-2-2-2-222-2220000000000002i−2i0022222-2-22-2-2000000000000−2i2i00-2-2-2-2-222-2220000000000002i−2i00
χ632222-22-2-22-200000000002i−2i0000-2-2-2-22-222-220000000000−2i2i00002222-22-2-22-200000000002i−2i0000-2-2-2-22-222-220000000000−2i2i0000
χ642222-22-2-22-20000000000−2i2i0000-2-2-2-22-222-2200000000002i−2i00002222-22-2-22-20000000000−2i2i0000-2-2-2-22-222-2200000000002i−2i0000
χ652222-2-22-2-22000000000000002-2-2-2-2-222-222-200000000000000-222222-2-22-2-22000000000000002-2-2-2-2-222-222-200000000000000-22
χ662222-2-22-2-2200000000000000-22-2-2-2-222-222-2000000000000002-22222-2-22-2-2200000000000000-22-2-2-2-222-222-2000000000000002-2
χ6722-2-2222-2-2-200002-20000000000-2-222-2-2-22220000-22000000000022-2-2222-2-2-200002-20000000000-2-222-2-2-22220000-220000000000
χ6822-2-2222-2-2-20000-220000000000-2-222-2-2-222200002-2000000000022-2-2222-2-2-20000-220000000000-2-222-2-2-222200002-20000000000
χ6922-2-22-2-2-2220000002i−2i00000000-2-222-2222-2-2000000−2i2i0000000022-2-22-2-2-2220000002i−2i00000000-2-222-2222-2-2000000−2i2i00000000
χ7022-2-22-2-2-222000000−2i2i00000000-2-222-2222-2-20000002i−2i0000000022-2-22-2-2-222000000−2i2i00000000-2-222-2222-2-20000002i−2i00000000
χ7122-2-2-22-22-22000000002i−2i000000-2-2222-22-22-200000000−2i2i00000022-2-2-22-22-22000000002i−2i000000-2-2222-22-22-200000000−2i2i000000
χ7222-2-2-22-22-2200000000−2i2i000000-2-2222-22-22-2000000002i−2i00000022-2-2-22-22-2200000000−2i2i000000-2-2222-22-22-2000000002i−2i000000
χ7322-2-2-2-2222-22i2i−2i−2i000000000000-2-22222-2-2-22−2i−2i2i2i00000000000022-2-2-2-2222-22i2i−2i−2i000000000000-2-22222-2-2-22−2i−2i2i2i000000000000
χ7422-2-2-2-2222-2−2i−2i2i2i000000000000-2-22222-2-2-222i2i−2i−2i00000000000022-2-2-2-2222-2−2i−2i2i2i000000000000-2-22222-2-2-222i2i−2i−2i000000000000
χ754-44i−4i0000002ζ−2ζ2ζ3−2ζ3000000000000-44−4i4i000000−2ζ2ζ−2ζ32ζ30000000000004-44i−4i0000002ζ−2ζ2ζ3−2ζ3000000000000-44−4i4i000000−2ζ2ζ−2ζ32ζ3000000000000
χ764-44i−4i000000−2ζ2ζ−2ζ32ζ3000000000000-44−4i4i0000002ζ−2ζ2ζ3−2ζ30000000000004-44i−4i000000−2ζ2ζ−2ζ32ζ3000000000000-44−4i4i0000002ζ−2ζ2ζ3−2ζ3000000000000
χ774-4−4i4i0000002ζ3−2ζ32ζ−2ζ000000000000-444i−4i000000−2ζ32ζ3−2ζ2ζ0000000000004-4−4i4i0000002ζ3−2ζ32ζ−2ζ000000000000-444i−4i000000−2ζ32ζ3−2ζ2ζ000000000000
χ784-4−4i4i000000−2ζ32ζ3−2ζ2ζ000000000000-444i−4i0000002ζ3−2ζ32ζ−2ζ0000000000004-4−4i4i000000−2ζ32ζ3−2ζ2ζ000000000000-444i−4i0000002ζ3−2ζ32ζ−2ζ000000000000
χ7911111111111111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiiiii
χ801111111111111111-1-1-1-1-1-1-1-111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iii
χ8111111111111111-1-111-1-111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−iii−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111iiiiiiiiiiiiii−i−iii−i−iii−i−i−i−i
χ8211111111111111-1-1-1-111-1-111-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−iii−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111iiiiiiiiiiiiii−i−i−i−iii−i−iii−i−i
χ831111111111-1-1-1-11111-1-1-1-111-1-1−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−i−iii-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111iiiiiiiiii−i−i−i−iiiii−i−i−i−iii−i−i
χ841111111111-1-1-1-111-1-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiii−i−iii−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111iiiiiiiiii−i−i−i−iii−i−iiiii−i−i−i−i
χ851111111111-1-1-1-1-1-11111-1-1-1-111−i−i−i−i−i−i−i−i−i−iiiiiii−i−i−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1iiiiiiiiii−i−i−i−i−i−iiiii−i−i−i−iii
χ861111111111-1-1-1-1-1-1-1-1-1-1111111−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiii
χ8722222-2-22-2-20000000000002i−2i00−2i−2i−2i−2i−2i2i2i−2i2i2i0000000000002-200-2-2-2-2-222-222000000000000−2i2i002i2i2i2i2i−2i−2i2i−2i−2i000000000000-2200
χ8822222-2-22-2-2000000000000−2i2i00−2i−2i−2i−2i−2i2i2i−2i2i2i000000000000-2200-2-2-2-2-222-2220000000000002i−2i002i2i2i2i2i−2i−2i2i−2i−2i0000000000002-200
χ892222-22-2-22-200000000002i−2i0000−2i−2i−2i−2i2i−2i2i2i−2i2i00000000002-20000-2-2-2-22-222-220000000000−2i2i00002i2i2i2i−2i2i−2i−2i2i−2i0000000000-220000
χ902222-22-2-22-20000000000−2i2i0000−2i−2i−2i−2i2i−2i2i2i−2i2i0000000000-220000-2-2-2-22-222-2200000000002i−2i00002i2i2i2i−2i2i−2i−2i2i−2i00000000002-20000
χ912222-2-22-2-22000000000000002-2−2i−2i−2i−2i2i2i−2i2i2i−2i00000000000000−2i2i-2-2-2-222-222-200000000000000-222i2i2i2i−2i−2i2i−2i−2i2i000000000000002i−2i
χ922222-2-22-2-2200000000000000-22−2i−2i−2i−2i2i2i−2i2i2i−2i000000000000002i−2i-2-2-2-222-222-2000000000000002-22i2i2i2i−2i−2i2i−2i−2i2i00000000000000−2i2i
χ9322-2-2222-2-2-200002-20000000000−2i−2i2i2i−2i−2i−2i2i2i2i0000−2i2i0000000000-2-222-2-2-22220000-2200000000002i2i−2i−2i2i2i2i−2i−2i−2i00002i−2i0000000000
χ9422-2-2222-2-2-20000-220000000000−2i−2i2i2i−2i−2i−2i2i2i2i00002i−2i0000000000-2-222-2-2-222200002-200000000002i2i−2i−2i2i2i2i−2i−2i−2i0000−2i2i0000000000
χ9522-2-22-2-2-2220000002i−2i00000000−2i−2i2i2i−2i2i2i2i−2i−2i0000002-200000000-2-222-2222-2-2000000−2i2i000000002i2i−2i−2i2i−2i−2i−2i2i2i000000-2200000000
χ9622-2-22-2-2-222000000−2i2i00000000−2i−2i2i2i−2i2i2i2i−2i−2i000000-2200000000-2-222-2222-2-20000002i−2i000000002i2i−2i−2i2i−2i−2i−2i2i2i0000002-200000000
χ9722-2-2-22-22-22000000002i−2i000000−2i−2i2i2i2i−2i2i−2i2i−2i000000002-2000000-2-2222-22-22-200000000−2i2i0000002i2i−2i−2i−2i2i−2i2i−2i2i00000000-22000000
χ9822-2-2-22-22-2200000000−2i2i000000−2i−2i2i2i2i−2i2i−2i2i−2i00000000-22000000-2-2222-22-22-2000000002i−2i0000002i2i−2i−2i−2i2i−2i2i−2i2i000000002-2000000
χ9922-2-2-2-2222-22i2i−2i−2i000000000000−2i−2i2i2i2i2i−2i−2i−2i2i22-2-2000000000000-2-22222-2-2-22−2i−2i2i2i0000000000002i2i−2i−2i−2i−2i2i2i2i−2i-2-222000000000000
χ10022-2-2-2-2222-2−2i−2i2i2i000000000000−2i−2i2i2i2i2i−2i−2i−2i2i-2-222000000000000-2-22222-2-2-222i2i−2i−2i0000000000002i2i−2i−2i−2i−2i2i2i2i−2i22-2-2000000000000
χ1014-44i−4i0000002ζ−2ζ2ζ3−2ζ3000000000000−4i4i4-4000000−2ζ32ζ32ζ−2ζ000000000000-44−4i4i000000−2ζ2ζ−2ζ32ζ30000000000004i−4i-440000002ζ3−2ζ3−2ζ2ζ000000000000
χ1024-44i−4i000000−2ζ2ζ−2ζ32ζ3000000000000−4i4i4-40000002ζ3−2ζ3−2ζ2ζ000000000000-44−4i4i0000002ζ−2ζ2ζ3−2ζ30000000000004i−4i-44000000−2ζ32ζ32ζ−2ζ000000000000
χ1034-4−4i4i0000002ζ3−2ζ32ζ−2ζ000000000000−4i4i-440000002ζ−2ζ−2ζ32ζ3000000000000-444i−4i000000−2ζ32ζ3−2ζ2ζ0000000000004i−4i4-4000000−2ζ2ζ2ζ3−2ζ3000000000000
χ1044-4−4i4i000000−2ζ32ζ3−2ζ2ζ000000000000−4i4i-44000000−2ζ2ζ2ζ3−2ζ3000000000000-444i−4i0000002ζ3−2ζ32ζ−2ζ0000000000004i−4i4-40000002ζ−2ζ−2ζ32ζ3000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.