Finite Group Databasebeta

← Group #10694588

Character table — Group #10694588

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11112222222222222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444848484848484848
order122222344444444666666688888888121212121212121224242424242424242424242424242424444444444488888888888812121212121212121212121212121212121212121212121224242424242424242424242424242424242424242424242424448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1
χ91111-1-11-1-111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111iiii−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1i−ii−i
χ101111-1-11-1-111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111iiii−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11−ii−ii
χ111111-1-11-1-111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111−i−i−i−iiiii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1−ii−ii
χ121111-1-11-1-111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111−i−i−i−iiiii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11i−ii−i
χ131111-1-11-1-111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111iiii−i−i−i−i-1-111−i−i−i−iiiii1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii1-1-11i−i−ii
χ141111-1-11-1-111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111iiii−i−i−i−i-1-111−i−i−i−iiiii1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-111-1−iii−i
χ151111-1-11-1-111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−i−i−iiiii-1-111iiii−i−i−i−i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i1-1-11−iii−i
χ161111-1-11-1-111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−i−i−iiiii-1-111iiii−i−i−i−i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-111-1i−i−ii
χ17222222222-2-2-2-2-2-2222222200000000-2-2-2-2-2-2-2-200000000000000002-20000000000002i2i−2i−2i2i2i−2i−2i22-2-222-2-20000000000000000000000002i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000
χ18222222222-2-2-2-2-2-2222222200000000-2-2-2-2-2-2-2-200000000000000002-2000000000000−2i−2i2i2i−2i−2i2i2i22-2-222-2-2000000000000000000000000−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i00000000
χ192222222-2-22222-2-2222222222222222222222222222222222222222-2-200000000-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-2000000000000000000000000
χ202222222-2-22222-2-22222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000222200000000-2-2-2-2-2-2-2-2000000000000000022222222000000000000000000000000
χ212222222-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-20000000000000000-2222-2-222-2-2000000000000-2-222-2-2222222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ222222222-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-20000000000000000-22-2-222-2-222000000000000-2-222-2-222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ23222222-122222222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ24222222-122222222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111100000000
χ25222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111100000000
χ26222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-2-2-2-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ27222222-122-2-2-2-2-2-2-1-1-1-1-1-1-100000000111111113333−3−3−3−33333−3−3−3−32-20000000000002i2i−2i−2i2i2i−2i−2i-1-111-1-111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i333−3−333−3−3−i−i−i−iiiii−i−i−i−iiiii00000000
χ28222222-122-2-2-2-2-2-2-1-1-1-1-1-1-100000000111111113333−3−3−3−33333−3−3−3−32-2000000000000−2i−2i2i2i−2i−2i2i2i-1-111-1-111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i333−3−333−3−3iiii−i−i−i−iiiii−i−i−i−i00000000
χ29222222-122-2-2-2-2-2-2-1-1-1-1-1-1-10000000011111111−3−3−3−33333−3−3−3−333332-20000000000002i2i−2i−2i2i2i−2i−2i-1-111-1-111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3−3−333−3−333−i−i−i−iiiii−i−i−i−iiiii00000000
χ30222222-122-2-2-2-2-2-2-1-1-1-1-1-1-10000000011111111−3−3−3−33333−3−3−3−333332-2000000000000−2i−2i2i2i−2i−2i2i2i-1-111-1-111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−3−333−3−333iiii−i−i−i−iiiii−i−i−i−i00000000
χ31222222-1-2-22222-2-2-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200000000-2-2-2-20000000011111111−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i311111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000
χ32222222-1-2-22222-2-2-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200000000-2-2-2-20000000011111111i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i311111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000
χ33222222-1-2-22222-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-20000000022220000000011111111−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3-1-1-1-1-1-1-1-1i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000
χ34222222-1-2-22222-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-20000000022220000000011111111i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3-1-1-1-1-1-1-1-1−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000
χ35222222-1-2-2-2-2-2-222-1-1-1-1-1-1-100000000111111113333−3−3−3−33333−3−3−3−3-2222-2-222-2-200000000000011-1-111-1-1-1-1-1-11111-1-1-1-11111−3−333−3−33333−3−3−3−33333−3−3−3−33300000000
χ36222222-1-2-2-2-2-2-222-1-1-1-1-1-1-100000000111111113333−3−3−3−33333−3−3−3−3-22-2-222-2-22200000000000011-1-111-1-11111-1-1-1-11111-1-1-1-1−3−333−3−333−3−33333−3−3−3−33333−3−300000000
χ37222222-1-2-2-2-2-2-222-1-1-1-1-1-1-10000000011111111−3−3−3−33333−3−3−3−33333-2222-2-222-2-200000000000011-1-111-1-1-1-1-1-11111-1-1-1-1111133−3−333−3−3−3−33333−3−3−3−33333−3−300000000
χ38222222-1-2-2-2-2-2-222-1-1-1-1-1-1-10000000011111111−3−3−3−33333−3−3−3−33333-22-2-222-2-22200000000000011-1-111-1-11111-1-1-1-11111-1-1-1-133−3−333−3−333−3−3−3−33333−3−3−3−33300000000
χ392222-2-222222-2-222222-2-2-2-22222-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-200000000-2-22200000000-2-2-2-222220000000000000000-2-2-2-22222000000000000000000000000
χ402222-2-222222-2-222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-20000000022-2-200000000-2-2-2-2222200000000000000002222-2-2-2-2000000000000000000000000
χ412222-2-2222-2-222-2-2222-2-2-2-200000000-2-2-2-222220000000000000000-222i2i−2i−2i−2i−2i2i2i000000000000-2-22222-2-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ422222-2-2222-2-222-2-2222-2-2-2-200000000-2-2-2-222220000000000000000-22−2i−2i2i2i2i2i−2i−2i000000000000-2-22222-2-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
χ432222-2-22-2-2-2-22222222-2-2-2-200000000-2-2-2-2222200000000000000002-200000000000022-2-2-2-22222-2-2-2-2220000000000000000000000002222-2-2-2-2-2-2-2-2222200000000
χ442222-2-22-2-2-2-22222222-2-2-2-200000000-2-2-2-2222200000000000000002-2000000000000-2-22222-2-222-2-2-2-222000000000000000000000000-2-2-2-222222222-2-2-2-200000000
χ452222-2-2-12222-2-222-1-1-111112222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111-2-200000000-2-222000000001111-1-1-1-133−3−3−3−333−3−33333−3−31111-1-1-1-133−3−333−3−3−3−333−3−33300000000
χ462222-2-2-12222-2-222-1-1-111112222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111-2-200000000-2-222000000001111-1-1-1-1−3−33333−3−333−3−3−3−3331111-1-1-1-1−3−333−3−33333−3−333−3−300000000
χ472222-2-2-12222-2-222-1-1-11111-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-1-2-20000000022-2-2000000001111-1-1-1-133−3−3−3−333−3−33333−3−3-1-1-1-11111−3−333−3−33333−3−333−3−300000000
χ482222-2-2-12222-2-222-1-1-11111-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-1-2-20000000022-2-2000000001111-1-1-1-1−3−33333−3−333−3−3−3−333-1-1-1-1111133−3−333−3−3−3−333−3−33300000000
χ492222-2-2-122-2-222-2-2-1-1-11111000000001111-1-1-1-13333−3−3−3−3−3−3−3−33333-222i2i−2i−2i−2i−2i2i2i00000000000011-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−3−33333−3−3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300000000
χ502222-2-2-122-2-222-2-2-1-1-11111000000001111-1-1-1-13333−3−3−3−3−3−3−3−33333-22−2i−2i2i2i2i2i−2i−2i00000000000011-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii−3−33333−3−3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300000000
χ512222-2-2-122-2-222-2-2-1-1-11111000000001111-1-1-1-1−3−3−3−333333333−3−3−3−3-222i2i−2i−2i−2i−2i2i2i00000000000011-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i33−3−3−3−333−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300000000
χ522222-2-2-122-2-222-2-2-1-1-11111000000001111-1-1-1-1−3−3−3−333333333−3−3−3−3-22−2i−2i2i2i2i2i−2i−2i00000000000011-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii33−3−3−3−333i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300000000
χ532222-2-2-1-2-222-2-2-2-2-1-1-111112222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111222i2i2i2i−2i−2i−2i−2i22-2-22i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii00000000
χ542222-2-2-1-2-222-2-2-2-2-1-1-111112222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-11111111122−2i−2i−2i−2i2i2i2i2i22-2-2−2i−2i−2i−2i2i2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i00000000
χ552222-2-2-1-2-222-2-2-2-2-1-1-11111-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-1222i2i2i2i−2i−2i−2i−2i-2-222−2i−2i−2i−2i2i2i2i2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i00000000
χ562222-2-2-1-2-222-2-2-2-2-1-1-11111-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-122−2i−2i−2i−2i2i2i2i2i-2-2222i2i2i2i−2i−2i−2i−2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii00000000
χ572222-2-2-1-2-2-2-22222-1-1-11111000000001111-1-1-1-13333−3−3−3−3−3−3−3−333332-200000000000022-2-2-2-222-1-11111-1-1−3−333−3−33333−3−333−3−333−3−3−3−333-1-1-1-111111111-1-1-1-100000000
χ582222-2-2-1-2-2-2-22222-1-1-11111000000001111-1-1-1-13333−3−3−3−3−3−3−3−333332-2000000000000-2-22222-2-2-1-11111-1-133−3−333−3−3−3−333−3−33333−3−3−3−3331111-1-1-1-1-1-1-1-1111100000000
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χ1154-44-400-200004i−4i002-222i3−2i32i3−2i322−2222−22−2i22i2−2i22i2−2323−2323−2i2i−2i2i2ζ13−2ζ23−2ζ13+2ζ232ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ72ζ5−2ζ7−2ζ5+2ζ72ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1164-44-400-200004i−4i002-222i3−2i32i3−2i3−2222−22222i2−2i22i2−2i2−2323−2323−2i2i−2i2i−2ζ13+2ζ232ζ13−2ζ23−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7−2ζ5+2ζ72ζ5−2ζ7−2ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1184-44-400-20000−4i4i002-22−2i32i3−2i32i3−2222−2222−2i22i2−2i22i2−2323−23232i−2i2i−2i−2ζ13+2ζ232ζ13−2ζ23−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7−2ζ5+2ζ72ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1194-44-400-20000−4i4i002-222i3−2i32i3−2i322−2222−222i2−2i22i2−2i223−2323−232i−2i2i−2i2ζ5−2ζ7−2ζ5+2ζ72ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ232ζ13−2ζ23−2ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1204-44-400-20000−4i4i002-222i3−2i32i3−2i3−2222−2222−2i22i2−2i22i223−2323−232i−2i2i−2i−2ζ5+2ζ72ζ5−2ζ7−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23−2ζ13+2ζ232ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ23000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1214-4-444-4400000000-4-444-4-44−2i22i22i2−2i22i2−2i2−2i22i200000000−2i22i22i2−2i2−2i22i22i2−2i22i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1224-4-444-4400000000-4-444-4-442i2−2i2−2i22i2−2i22i22i2−2i2000000002i2−2i2−2i22i22i2−2i2−2i22i2−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1234-4-444-4-20000000022-2-222-2−2i22i22i2−2i22i2−2i2−2i22i223−23−232323−23−23232ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ72ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ7−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ23000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1244-4-444-4-20000000022-2-222-2−2i22i22i2−2i22i2−2i2−2i22i2−232323−23−232323−232ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ232ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ23−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1254-4-444-4-20000000022-2-222-22i2−2i2−2i22i2−2i22i22i2−2i223−23−232323−23−2323−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ7−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ72ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ23000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1264-4-444-4-20000000022-2-222-22i2−2i2−2i22i2−2i22i22i2−2i2−232323−23−232323−23−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ23−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ232ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1274-4-44-44400000000-4-44-444-4−2i22i22i2−2i2−2i22i22i2−2i200000000−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1284-4-44-44400000000-4-44-444-42i2−2i2−2i22i22i2−2i2−2i22i2000000002i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1294-4-44-44-20000000022-22-2-22−2i22i22i2−2i2−2i22i22i2−2i223−23−2323−232323−232ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ72ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ232ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ72ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ23000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1304-4-44-44-20000000022-22-2-22−2i22i22i2−2i2−2i22i22i2−2i2−232323−2323−23−23232ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ232ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ72ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ232ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1314-4-44-44-20000000022-22-2-222i2−2i2−2i22i22i2−2i2−2i22i223−23−2323−232323−23−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ7−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ23−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ7−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ23000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1324-4-44-44-20000000022-22-2-222i2−2i2−2i22i22i2−2i2−2i22i2−232323−2323−23−2323−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ23−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ7−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ23−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000

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