Finite Group Databasebeta

← Group #10945103

Character table — Group #10945103

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222222222222222224444444444444444444444444444448888888888888888888888881212121212121212121212121212121248484848
order122222223444444444444444466666661212121212121212444444121212121212121212121212121212121212121212121212888888882424242424242424242424242424242444444444444444442244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-111-1-1-1-11111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1
χ61111111111111-1-1-1-111-1-1-1-11111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11
χ71111111111111-1-1-1-111-1-1-1-11111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-11
χ81111111111111-1-1-1-111-1-1-1-11111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11-1
χ9111111111-1-1-1-1111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-11
χ10111111111-1-1-1-1111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1
χ11111111111-1-1-1-1111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1
χ12111111111-1-1-1-1111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-11
χ13111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ14111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111
χ15111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ16111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ1722222222222222222-2-22222-2-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ19222222222-2-2-2-22222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-222-2-222-2-2-2-222222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-2-2-22222-2-22222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000
χ2122222222-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ2222222222-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000000000
χ2322222222-122222222-2-22222-2-2-1-1-1-1-1-1-111111111-2-2-2-2-2-2-1-1-1-11111-1-1-1-11111-1-1-1-111110000000033−3−333−3−333−3−333−3−300000000000000000000
χ2422222222-122222222-2-22222-2-2-1-1-1-1-1-1-111111111-2-2-2-2-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000−3−333−3−333−3−333−3−33300000000000000000000
χ2522222222-12222-2-2-2-222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ2622222222-12222-2-2-2-222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000
χ2722222222-12222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-2-22222-1-1-1-111111111-1-1-1-11111-1-1-1-10000000033−3−333−3−3−3−333−3−33300000000000000000000
χ2822222222-12222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-2-22222-1-1-1-111111111-1-1-1-11111-1-1-1-100000000−3−333−3−33333−3−333−3−300000000000000000000
χ2922222222-1-2-2-2-2222222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-211111111-1-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-1111100000000000000000000
χ3022222222-1-2-2-2-2222222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-211111111-1-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-11111-1-1-1-100000000000000000000
χ3122222222-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111122-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-10000000033−3−3−3−33333−3−3−3−33300000000000000000000
χ3222222222-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111122-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-100000000−3−33333−3−3−3−33333−3−300000000000000000000
χ3322222222-1-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2221111111111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-100000000000000000000
χ3422222222-1-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2221111111111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-1111100000000000000000000
χ3522222222-1-2-2-2-2-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-1111111112222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-111110000000033−3−3−3−333−3−33333−3−300000000000000000000
χ3622222222-1-2-2-2-2-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-1111111112222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000−3−33333−3−333−3−3−3−33300000000000000000000
χ37222-2-2-2-22222-2-222-2-20022-2-200222-2-2-2-20000000000000022-2-2000022-2-2000022-2-20000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000000000
χ38222-2-2-2-22222-2-222-2-20022-2-200222-2-2-2-20000000000000022-2-2000022-2-2000022-2-20000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000000000
χ39222-2-2-2-22222-2-2-2-22200-2-22200222-2-2-2-20000000000000022-2-20000-2-2220000-2-2220000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000000000000000
χ40222-2-2-2-22222-2-2-2-22200-2-22200222-2-2-2-20000000000000022-2-20000-2-2220000-2-2220000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000000000000000
χ41222-2-2-2-222-2-22222-2-200-2-22200222-2-2-2-200000000000000-2-222000022-2-20000-2-2220000−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200000000000000000000
χ42222-2-2-2-222-2-22222-2-200-2-22200222-2-2-2-200000000000000-2-222000022-2-20000-2-2220000i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200000000000000000000
χ43222-2-2-2-222-2-222-2-2220022-2-200222-2-2-2-200000000000000-2-2220000-2-222000022-2-20000−i2i2i2−i2i2−i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200000000000000000000
χ44222-2-2-2-222-2-222-2-2220022-2-200222-2-2-2-200000000000000-2-2220000-2-222000022-2-20000i2−i2−i2i2−i2i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000000000000000
χ45222-2-2-2-22-122-2-222-2-20022-2-200-1-1-1111133−3−333−3−3000000-1-11133−3−3-1-11133−3−3-1-11133−3−3−i2i2−i2i2−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000000000
χ46222-2-2-2-22-122-2-222-2-20022-2-200-1-1-1111133−3−333−3−3000000-1-11133−3−3-1-11133−3−3-1-11133−3−3i2−i2i2−i2i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000000000
χ47222-2-2-2-22-122-2-222-2-20022-2-200-1-1-11111−3−333−3−333000000-1-111−3−333-1-111−3−333-1-111−3−333−i2i2−i2i2−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000000000000000
χ48222-2-2-2-22-122-2-222-2-20022-2-200-1-1-11111−3−333−3−333000000-1-111−3−333-1-111−3−333-1-111−3−333i2−i2i2−i2i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000000000
χ49222-2-2-2-22-122-2-2-2-22200-2-22200-1-1-1111133−3−333−3−3000000-1-11133−3−311-1-1−3−33311-1-1−3−333−i2i2−i2i2i2−i2i2−i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000000000
χ50222-2-2-2-22-122-2-2-2-22200-2-22200-1-1-1111133−3−333−3−3000000-1-11133−3−311-1-1−3−33311-1-1−3−333i2−i2i2−i2−i2i2−i2i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000000000
χ51222-2-2-2-22-122-2-2-2-22200-2-22200-1-1-11111−3−333−3−333000000-1-111−3−33311-1-133−3−311-1-133−3−3−i2i2−i2i2i2−i2i2−i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000000000
χ52222-2-2-2-22-122-2-2-2-22200-2-22200-1-1-11111−3−333−3−333000000-1-111−3−33311-1-133−3−311-1-133−3−3i2−i2i2−i2−i2i2−i2i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000000000000000
χ53222-2-2-2-22-1-2-22222-2-200-2-22200-1-1-1111133−3−333−3−300000011-1-1−3−333-1-11133−3−311-1-1−3−333−i2i2i2−i2−i2i2i2−i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000000000
χ54222-2-2-2-22-1-2-22222-2-200-2-22200-1-1-1111133−3−333−3−300000011-1-1−3−333-1-11133−3−311-1-1−3−333i2−i2−i2i2i2−i2−i2i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000000000
χ55222-2-2-2-22-1-2-22222-2-200-2-22200-1-1-11111−3−333−3−33300000011-1-133−3−3-1-111−3−33311-1-133−3−3−i2i2i2−i2−i2i2i2−i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000000000
χ56222-2-2-2-22-1-2-22222-2-200-2-22200-1-1-11111−3−333−3−33300000011-1-133−3−3-1-111−3−33311-1-133−3−3i2−i2−i2i2i2−i2−i2i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000000000000000
χ57222-2-2-2-22-1-2-222-2-2220022-2-200-1-1-1111133−3−333−3−300000011-1-1−3−33311-1-1−3−333-1-11133−3−3−i2i2i2−i2i2−i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000000000
χ58222-2-2-2-22-1-2-222-2-2220022-2-200-1-1-1111133−3−333−3−300000011-1-1−3−33311-1-1−3−333-1-11133−3−3i2−i2−i2i2−i2i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000000000
χ59222-2-2-2-22-1-2-222-2-2220022-2-200-1-1-11111−3−333−3−33300000011-1-133−3−311-1-133−3−3-1-111−3−333−i2i2i2−i2i2−i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000000000000000
χ60222-2-2-2-22-1-2-222-2-2220022-2-200-1-1-11111−3−333−3−33300000011-1-133−3−311-1-133−3−3-1-111−3−333i2−i2−i2i2−i2i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000000000
χ6122-222-2-2-2200002i−2i2i−2i2-200002-22-2-222-2-22-22-22-22-2002i−2i00000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000002i2i−2i−2i000022-2-20000
χ6222-222-2-2-2200002i−2i2i−2i2-200002-22-2-222-2-22-22-22-22-2002i−2i00000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000−2i−2i2i2i0000-2-2220000
χ6322-222-2-2-2200002i−2i2i−2i-220000-222-2-222-2-2-22-22-22-2200−2i2i00000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000002i2i−2i−2i000022-2-200000000
χ6422-222-2-2-2200002i−2i2i−2i-220000-222-2-222-2-2-22-22-22-2200−2i2i00000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000−2i−2i2i2i0000-2-22200000000
χ6522-222-2-2-220000−2i2i−2i2i2-200002-22-2-222-2-22-22-22-22-200−2i2i0000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000002i2i−2i−2i0000-2-2220000
χ6622-222-2-2-220000−2i2i−2i2i2-200002-22-2-222-2-22-22-22-22-200−2i2i0000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000−2i−2i2i2i000022-2-20000
χ6722-222-2-2-220000−2i2i−2i2i-220000-222-2-222-2-2-22-22-22-22002i−2i0000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000002i2i−2i−2i0000-2-22200000000
χ6822-222-2-2-220000−2i2i−2i2i-220000-222-2-222-2-2-22-22-22-22002i−2i0000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000−2i−2i2i2i000022-2-200000000
χ692-222-22-2-222i−2i2i−2i00002-20000-22-22-22-22-22-22-2-22-222i−2i00002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000002-22-22i−2i2i−2i0000
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χ732-222-22-2-22−2i2i−2i2i00002-20000-22-22-22-22-22-22-2-22-22−2i2i0000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000002-22-2−2i2i−2i2i0000
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χ762-222-22-2-22−2i2i−2i2i0000-2200002-2-22-22-22-2-22-222-22-22i−2i0000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000-22-222i−2i2i−2i000000000000
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χ792-2-22-2-22220000000022-22-22-2-2-2-222-2-222222-2-2-2-20000-220000000000000000-22-22-22-220000000000000000000000002i−2i−2i2i00000000−2i2i2i−2i0000
χ802-2-22-2-22220000000022-22-22-2-2-2-222-2-222222-2-2-2-20000-220000000000000000-22-22-22-22000000000000000000000000−2i2i2i−2i000000002i−2i−2i2i0000
χ812-2-22-2-222200000000-2-22-22-222-2-222-2-22-2-2-2-222220000-2200000000000000002-22-2-22-2200000000000000000000000000002-2-22-222-200000000
χ822-2-22-2-222200000000-2-22-22-222-2-222-2-22-2-2-2-222220000-2200000000000000002-22-2-22-220000000000000000000000000000-222-22-2-2200000000
χ832-2-22-2-222200000000-2-2-22-2222-2-222-2-22-2-2-2-2222200002-20000000000000000-22-222-22-200000000000000000000000000002-2-222-2-2200000000
χ842-2-22-2-222200000000-2-2-22-2222-2-222-2-22-2-2-2-2222200002-20000000000000000-22-222-22-20000000000000000000000000000-222-2-222-200000000
χ8544-444-4-4-4-200004i−4i4i−4i4-400004-4-222-2-222-22-22-22-22004i−4i0000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ8644-444-4-4-4-200004i−4i4i−4i-440000-44-222-2-2222-22-22-22-200−4i4i0000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ8744-444-4-4-4-20000−4i4i−4i4i4-400004-4-222-2-222-22-22-22-2200−4i4i00000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ8844-444-4-4-4-20000−4i4i−4i4i-440000-44-222-2-2222-22-22-22-2004i−4i00000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ8944-4-4-444-4400004i−4i−4i4i000000004-4-4-4-44400000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ9044-4-4-444-440000−4i4i4i−4i000000004-4-4-4-4440000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ9144-4-4-444-4-200004i−4i−4i4i00000000-22222-2-223−23−232323−23−232300000000000000−2i2i2i−2i2i3−2i3−2i32i30000000000000000000000000000000000000000000000000000
χ9244-4-4-444-4-200004i−4i−4i4i00000000-22222-2-2−232323−23−232323−2300000000000000−2i2i2i−2i−2i32i32i3−2i30000000000000000000000000000000000000000000000000000
χ9344-4-4-444-4-20000−4i4i4i−4i00000000-22222-2-223−23−232323−23−2323000000000000002i−2i−2i2i−2i32i32i3−2i30000000000000000000000000000000000000000000000000000
χ9444-4-4-444-4-20000−4i4i4i−4i00000000-22222-2-2−232323−23−232323−23000000000000002i−2i−2i2i2i3−2i3−2i32i30000000000000000000000000000000000000000000000000000
χ954-444-44-4-4-24i−4i4i−4i00004-40000-442-22-22-22-22-222-22-24i−4i0000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000
χ964-444-44-4-4-24i−4i4i−4i0000-4400004-42-22-22-222-22-2-22-22−4i4i0000−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000000000000000000000
χ974-444-44-4-4-2−4i4i−4i4i00004-40000-442-22-22-22-22-222-22-2−4i4i00002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000000000000000
χ984-444-44-4-4-2−4i4i−4i4i0000-4400004-42-22-22-222-22-2-22-224i−4i00002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000
χ994-44-44-44-444i−4i−4i4i000000000000-44-4-44-44000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ1004-44-44-44-44−4i4i4i−4i000000000000-44-4-44-4400000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000
χ1014-44-44-44-4-24i−4i−4i4i0000000000002-222-22-223−23−2323−232323−23000000−2i2i2i−2i2i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000000000
χ1024-44-44-44-4-24i−4i−4i4i0000000000002-222-22-2−232323−2323−23−2323000000−2i2i2i−2i−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000000000
χ1034-44-44-44-4-2−4i4i4i−4i0000000000002-222-22-223−23−2323−232323−230000002i−2i−2i2i−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000000000
χ1044-44-44-44-4-2−4i4i4i−4i0000000000002-222-22-2−232323−2323−23−23230000002i−2i−2i2i2i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000000000
χ1054-4-44-4-444-200000000444-44-4-4-422-2-222-2-2-2-2-2222200004-40000000000000000-22-22-22-2200000000000000000000000000000000000000000000
χ1064-4-44-4-444-20000000044-44-44-4-422-2-222-2-2-2-2-222220000-4400000000000000002-22-22-22-200000000000000000000000000000000000000000000
χ1074-4-44-4-444-200000000-4-44-44-44422-2-222-22222-2-2-2-20000-440000000000000000-22-222-22-200000000000000000000000000000000000000000000
χ1084-4-44-4-444-200000000-4-4-44-444422-2-222-22222-2-2-2-200004-400000000000000002-22-2-22-2200000000000000000000000000000000000000000000
χ1094-4-4-444-44400000000004-4-4400-4-44-444-40000000000000000000000000000004-4-44000000000000000000000000000000000000000000000000
χ1104-4-4-444-4440000000000-444-400-4-44-444-4000000000000000000000000000000-444-4000000000000000000000000000000000000000000000000
χ1114-4-4-444-44-200000000004-4-440022-22-2-222323−23−23−23−2323230000000000000000000000-222-223−23−232300000000000000000000000000000000000000000000
χ1124-4-4-444-44-200000000004-4-440022-22-2-22−23−2323232323−23−230000000000000000000000-222-2−232323−2300000000000000000000000000000000000000000000
χ1134-4-4-444-44-20000000000-444-40022-22-2-222323−23−23−23−23232300000000000000000000002-2-22−232323−2300000000000000000000000000000000000000000000
χ1144-4-4-444-44-20000000000-444-40022-22-2-22−23−2323232323−23−2300000000000000000000002-2-2223−23−232300000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.