Finite Group Databasebeta

← Group #10693813

Character table — Group #10693813

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order12224444223444444444466612121212121212121212121266888888881212121212122424242424242424242424242424242488888888242424242424242424242424242424248888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-1111-1-1-1-111-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−iii−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i11-1-111-1-1
χ101111-1-1-1-1111-1-1-1-111-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii-1-111-1-111
χ111111-1-1-1-1111-1-1-1-111-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-1-111-1-111
χ121111-1-1-1-1111-1-1-1-111-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii11-1-111-1-1
χ131111-1-1-1-1111-1-1-1-111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111i−ii−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii11-1-1-1-111
χ141111-1-1-1-1111-1-1-1-111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111i−ii−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-1-11111-1-1
χ151111-1-1-1-1111-1-1-1-111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111−ii−iiii−i−i−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii-1-11111-1-1
χ161111-1-1-1-1111-1-1-1-111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111−ii−iiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i11-1-1-1-111
χ172222222222222-2-2-2-2-2-2-2-2222-2-2-2-22222-2-2-2-22200000000-2-222-2-2000000000000000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ182222222222222-2-2-2-2-2-2-2-2222-2-2-2-22222-2-2-2-22200000000-2-222-2-200000000000000000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ192222222222-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ202222222222-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ212222222222-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ222222222222-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ232222222222-122-2-2-2-2-2-2-2-2-1-1-11111-1-1-1-11111-1-10000000011-1-1113333−3−3−3−33333−3−3−3−300002i−2i2i−2i−i3−i3i3i3−i3−i3i3i3−i−iii−i−iii0000000000000000
χ242222222222-122-2-2-2-2-2-2-2-2-1-1-11111-1-1-1-11111-1-10000000011-1-1113333−3−3−3−33333−3−3−3−30000−2i2i−2i2ii3i3−i3−i3i3i3−i3−i3ii−i−iii−i−i0000000000000000
χ252222222222-122-2-2-2-2-2-2-2-2-1-1-11111-1-1-1-11111-1-10000000011-1-111−3−3−3−33333−3−3−3−3333300002i−2i2i−2ii3i3−i3−i3i3i3−i3−i3−i−iii−i−iii0000000000000000
χ262222222222-122-2-2-2-2-2-2-2-2-1-1-11111-1-1-1-11111-1-10000000011-1-111−3−3−3−33333−3−3−3−333330000−2i2i−2i2i−i3−i3i3i3−i3−i3i3i3ii−i−iii−i−i0000000000000000
χ2722222222-2-22-2-222-2-2-2-222222-2-2-2-22222-2-2-2-2-2-20000000022-2-222000000000000000022-2-200002-22-22-22-2000000000000000000000000
χ2822222222-2-22-2-222-2-2-2-222222-2-2-2-22222-2-2-2-2-2-20000000022-2-2220000000000000000-2-2220000-22-22-22-22000000000000000000000000
χ2922222222-2-22-2-2-2-22222-2-2222222222222222-2-222-2-222-2-2-2-2-2-2-2-222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000
χ3022222222-2-22-2-2-2-22222-2-2222222222222222-2-2-2-222-2-222-2-2-2-2-2-2-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000
χ3122222222-2-2-1-2-222-2-2-2-222-1-1-11111-1-1-1-111111100000000-1-111-1-133−3−3−3−33333−3−3−3−33322-2-20000-11-11-11-113−33−33−33−30000000000000000
χ3222222222-2-2-1-2-222-2-2-2-222-1-1-11111-1-1-1-111111100000000-1-111-1-133−3−3−3−33333−3−3−3−333-2-22200001-11-11-11-1−33−33−33−330000000000000000
χ3322222222-2-2-1-2-222-2-2-2-222-1-1-11111-1-1-1-111111100000000-1-111-1-1−3−33333−3−3−3−33333−3−322-2-20000-11-11-11-11−33−33−33−330000000000000000
χ3422222222-2-2-1-2-222-2-2-2-222-1-1-11111-1-1-1-111111100000000-1-111-1-1−3−33333−3−3−3−33333−3−3-2-22200001-11-11-11-13−33−33−33−30000000000000000
χ3522222222-2-2-1-2-2-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11122-2-222-2-2111111-1-111-1-111-1-111-1-11100000000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i30000000000000000
χ3622222222-2-2-1-2-2-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11122-2-222-2-2111111-1-111-1-111-1-111-1-11100000000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i30000000000000000
χ3722222222-2-2-1-2-2-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-2-222-2-22211111111-1-111-1-111-1-111-1-100000000−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3i3−i3−i3i30000000000000000
χ3822222222-2-2-1-2-2-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-2-222-2-22211111111-1-111-1-111-1-111-1-100000000i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3i3i3−i30000000000000000
χ392222-2-2-2-2222-2-222-2-222-2-2222-2-2-2-2-2-2-2-222222200000000-2-2-2-222000000000000000000002-2-220000000022-2-2-2-2220000000000000000
χ402222-2-2-2-2222-2-222-2-222-2-2222-2-2-2-2-2-2-2-222222200000000-2-2-2-22200000000000000000000-222-200000000-2-22222-2-20000000000000000
χ412222-2-2-2-222-1-2-222-2-222-2-2-1-1-111111111-1-1-1-1-1-1000000001111-1-13333−3−3−3−3−3−3−3−3333300002-2-22−3−33333−3−3-1-11111-1-10000000000000000
χ422222-2-2-2-222-1-2-222-2-222-2-2-1-1-111111111-1-1-1-1-1-1000000001111-1-13333−3−3−3−3−3−3−3−333330000-222-233−3−3−3−33311-1-1-1-1110000000000000000
χ432222-2-2-2-222-1-2-222-2-222-2-2-1-1-111111111-1-1-1-1-1-1000000001111-1-1−3−3−3−333333333−3−3−3−300002-2-2233−3−3−3−333-1-11111-1-10000000000000000
χ442222-2-2-2-222-1-2-222-2-222-2-2-1-1-111111111-1-1-1-1-1-1000000001111-1-1−3−3−3−333333333−3−3−3−30000-222-2−3−33333−3−311-1-1-1-1110000000000000000
χ452222-2-2-2-222-1-2-2-2-222-2-222-1-1-1-1-1-1-111111111-1-12222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1111111112i−2i2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii0000000000000000
χ462222-2-2-2-222-1-2-2-2-222-2-222-1-1-1-1-1-1-111111111-1-12222-2-2-2-2-1-11111-1-1-1-1-1-1-1-111111111−2i2i−2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i0000000000000000
χ472222-2-2-2-222-1-2-2-2-222-2-222-1-1-1-1-1-1-111111111-1-1-2-2-2-22222-1-1111111111111-1-1-1-1-1-1-1-12i−2i2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i0000000000000000
χ482222-2-2-2-222-1-2-2-2-222-2-222-1-1-1-1-1-1-111111111-1-1-2-2-2-22222-1-1111111111111-1-1-1-1-1-1-1-1−2i2i−2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii0000000000000000
χ492222-2-2-2-2-2-22222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-222-2-2-2-222-2-2222222-2-222-2-2-2-222-2-2220000000000000000000000000000000000000000
χ502222-2-2-2-2-2-22222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-222-2-22222-2-222-2-20000000000000000000000000000000000000000
χ512222-2-2-2-2-2-2222-2-2-2-22222222-2-2-2-2-2-2-2-22222-2-2000000002222-2-200000000000000002i−2i−2i2i00002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ522222-2-2-2-2-2-2222-2-2-2-22222222-2-2-2-2-2-2-2-22222-2-2000000002222-2-20000000000000000−2i2i2i−2i0000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ532222-2-2-2-2-2-2-1222222-2-2-2-2-1-1-1-1-1-1-1111111111122-2-2-2-22211-1-1-1-1-1-111-1-11111-1-111-1-1000000003−3−33−333−33−3−33−333−30000000000000000
χ542222-2-2-2-2-2-2-1222222-2-2-2-2-1-1-1-1-1-1-1111111111122-2-2-2-22211-1-1-1-1-1-111-1-11111-1-111-1-100000000−333−33−3−33−333−33−3−330000000000000000
χ552222-2-2-2-2-2-2-1222222-2-2-2-2-1-1-1-1-1-1-11111111111-2-22222-2-211-1-1-1-111-1-111-1-1-1-111-1-111000000003−3−33−333−3−333−33−3−330000000000000000
χ562222-2-2-2-2-2-2-1222222-2-2-2-2-1-1-1-1-1-1-11111111111-2-22222-2-211-1-1-1-111-1-111-1-1-1-111-1-11100000000−333−33−3−333−3−33−333−30000000000000000
χ572222-2-2-2-2-2-2-122-2-2-2-22222-1-1-111111111-1-1-1-11100000000-1-1-1-11133−3−3−3−333−3−33333−3−32i−2i−2i2i0000−ii−iii−ii−ii3−i3i3−i3−i3i3−i3i30000000000000000
χ582222-2-2-2-2-2-2-122-2-2-2-22222-1-1-111111111-1-1-1-11100000000-1-1-1-11133−3−3−3−333−3−33333−3−3−2i2i2i−2i0000i−ii−i−ii−ii−i3i3−i3i3i3−i3i3−i30000000000000000
χ592222-2-2-2-2-2-2-122-2-2-2-22222-1-1-111111111-1-1-1-11100000000-1-1-1-111−3−33333−3−333−3−3−3−3332i−2i−2i2i0000−ii−iii−ii−i−i3i3−i3i3i3−i3i3−i30000000000000000
χ602222-2-2-2-2-2-2-122-2-2-2-22222-1-1-111111111-1-1-1-11100000000-1-1-1-111−3−33333−3−333−3−3−3−333−2i2i2i−2i0000i−ii−i−ii−iii3−i3i3−i3−i3i3−i3i30000000000000000
χ6122-2-22i−2i2i−2i2-222i−2i2i−2i2-22i−2i2-22-2-222-2-22i2i−2i−2i2i2i−2i−2i2-2000000002-22i−2i2i−2i00000000000000000000000000000000000000000000000000002i−2i2-2
χ6222-2-22i−2i2i−2i2-222i−2i2i−2i2-22i−2i2-22-2-222-2-22i2i−2i−2i2i2i−2i−2i2-2000000002-22i−2i2i−2i0000000000000000000000000000000000000000000000000000−2i2i-22
χ6322-2-22i−2i2i−2i2-222i−2i−2i2i-22−2i2i-222-2-2-2-2222i2i−2i−2i−2i−2i2i2i2-200000000-222i−2i−2i2i00000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000
χ6422-2-22i−2i2i−2i2-222i−2i−2i2i-22−2i2i-222-2-2-2-2222i2i−2i−2i−2i−2i2i2i2-200000000-222i−2i−2i2i0000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000
χ6522-2-22i−2i2i−2i-222−2i2i2i−2i-22−2i2i2-22-2-2-2-2222i2i−2i−2i−2i−2i2i2i-22000000002-2−2i2i2i−2i00000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000
χ6622-2-22i−2i2i−2i-222−2i2i2i−2i-22−2i2i2-22-2-2-2-2222i2i−2i−2i−2i−2i2i2i-22000000002-2−2i2i2i−2i000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000
χ6722-2-22i−2i2i−2i-222−2i2i−2i2i2-22i−2i-222-2-222-2-22i2i−2i−2i2i2i−2i−2i-2200000000-22−2i2i−2i2i0000000000000000000000000000000000000000000000002-22i−2i0000
χ6822-2-22i−2i2i−2i-222−2i2i−2i2i2-22i−2i-222-2-222-2-22i2i−2i−2i2i2i−2i−2i-2200000000-22−2i2i−2i2i000000000000000000000000000000000000000000000000-22−2i2i0000
χ6922-2-2−2i2i−2i2i2-22−2i2i2i−2i-222i−2i-222-2-2-2-222−2i−2i2i2i2i2i−2i−2i2-200000000-22−2i2i2i−2i0000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000
χ7022-2-2−2i2i−2i2i2-22−2i2i2i−2i-222i−2i-222-2-2-2-222−2i−2i2i2i2i2i−2i−2i2-200000000-22−2i2i2i−2i00000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000
χ7122-2-2−2i2i−2i2i2-22−2i2i−2i2i2-2−2i2i2-22-2-222-2-2−2i−2i2i2i−2i−2i2i2i2-2000000002-2−2i2i−2i2i00000000000000000000000000000000000000000000000000002i−2i-22
χ7222-2-2−2i2i−2i2i2-22−2i2i−2i2i2-2−2i2i2-22-2-222-2-2−2i−2i2i2i−2i−2i2i2i2-2000000002-2−2i2i−2i2i0000000000000000000000000000000000000000000000000000−2i2i2-2
χ7322-2-2−2i2i−2i2i-2222i−2i2i−2i2-2−2i2i-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i-2200000000-222i−2i2i−2i0000000000000000000000000000000000000000000000002-2−2i2i0000
χ7422-2-2−2i2i−2i2i-2222i−2i2i−2i2-2−2i2i-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i-2200000000-222i−2i2i−2i000000000000000000000000000000000000000000000000-222i−2i0000
χ7522-2-2−2i2i−2i2i-2222i−2i−2i2i-222i−2i2-22-2-2-2-222−2i−2i2i2i2i2i−2i−2i-22000000002-22i−2i−2i2i000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000
χ7622-2-2−2i2i−2i2i-2222i−2i−2i2i-222i−2i2-22-2-2-2-222−2i−2i2i2i2i2i−2i−2i-22000000002-22i−2i−2i2i00000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000
χ7744-4-44i−4i4i−4i4-4-24i−4i4i−4i4-44i−4i4-4-222-2-222−2i−2i2i2i−2i−2i2i2i-2200000000-22−2i2i−2i2i00000000000000000000000000000000000000000000000000000000
χ7844-4-44i−4i4i−4i4-4-24i−4i−4i4i-44−4i4i-44-22222-2-2−2i−2i2i2i2i2i−2i−2i-22000000002-2−2i2i2i−2i00000000000000000000000000000000000000000000000000000000
χ7944-4-44i−4i4i−4i-44-2−4i4i4i−4i-44−4i4i4-4-22222-2-2−2i−2i2i2i2i2i−2i−2i2-200000000-222i−2i−2i2i00000000000000000000000000000000000000000000000000000000
χ8044-4-44i−4i4i−4i-44-2−4i4i−4i4i4-44i−4i-44-222-2-222−2i−2i2i2i−2i−2i2i2i2-2000000002-22i−2i2i−2i00000000000000000000000000000000000000000000000000000000
χ8144-4-4−4i4i−4i4i4-4-2−4i4i4i−4i-444i−4i-44-22222-2-22i2i−2i−2i−2i−2i2i2i-22000000002-22i−2i−2i2i00000000000000000000000000000000000000000000000000000000
χ8244-4-4−4i4i−4i4i4-4-2−4i4i−4i4i4-4−4i4i4-4-222-2-2222i2i−2i−2i2i2i−2i−2i-2200000000-222i−2i2i−2i00000000000000000000000000000000000000000000000000000000
χ8344-4-4−4i4i−4i4i-44-24i−4i4i−4i4-4−4i4i-44-222-2-2222i2i−2i−2i2i2i−2i−2i2-2000000002-2−2i2i−2i2i00000000000000000000000000000000000000000000000000000000
χ8444-4-4−4i4i−4i4i-44-24i−4i−4i4i-444i−4i4-4-22222-2-22i2i−2i−2i−2i−2i2i2i2-200000000-22−2i2i2i−2i00000000000000000000000000000000000000000000000000000000
χ854-44-444-4-40040000000000-44-400004-44-40000000022−220022−220000000022−220022−220022−220022−220000000000000000000000000000000000000000
χ864-44-444-4-40040000000000-44-400004-44-400000000−222200−222200000000−222200−222200−222200−22220000000000000000000000000000000000000000
χ874-44-444-4-400-200000000002-2223−2323−23-22-2223−2323−23000022−220022−22000000002ζ13−2ζ23−2ζ13+2ζ23002ζ5−2ζ7−2ζ5+2ζ7002ζ13−2ζ23−2ζ13+2ζ23002ζ5−2ζ7−2ζ5+2ζ70000000000000000000000000000000000000000
χ884-44-444-4-400-200000000002-2223−2323−23-22-2223−2323−230000−222200−222200000000−2ζ13+2ζ232ζ13−2ζ2300−2ζ5+2ζ72ζ5−2ζ700−2ζ13+2ζ232ζ13−2ζ2300−2ζ5+2ζ72ζ5−2ζ70000000000000000000000000000000000000000
χ894-44-444-4-400-200000000002-22−2323−2323-22-22−2323−2323000022−220022−22000000002ζ5−2ζ7−2ζ5+2ζ7002ζ13−2ζ23−2ζ13+2ζ23002ζ5−2ζ7−2ζ5+2ζ7002ζ13−2ζ23−2ζ13+2ζ230000000000000000000000000000000000000000
χ904-44-444-4-400-200000000002-22−2323−2323-22-22−2323−23230000−222200−222200000000−2ζ5+2ζ72ζ5−2ζ700−2ζ13+2ζ232ζ13−2ζ2300−2ζ5+2ζ72ζ5−2ζ700−2ζ13+2ζ232ζ13−2ζ230000000000000000000000000000000000000000
χ914-44-4-4-4440040000000000-44-40000-44-440000000022−2200−22220000000022−220022−2200−222200−22220000000000000000000000000000000000000000
χ924-44-4-4-4440040000000000-44-40000-44-4400000000−22220022−2200000000−222200−22220022−220022−220000000000000000000000000000000000000000
χ934-44-4-4-44400-200000000002-2223−2323−232-22-2−2323−2323000022−2200−2222000000002ζ13−2ζ23−2ζ13+2ζ23002ζ5−2ζ7−2ζ5+2ζ700−2ζ13+2ζ232ζ13−2ζ2300−2ζ5+2ζ72ζ5−2ζ70000000000000000000000000000000000000000
χ944-44-4-4-44400-200000000002-2223−2323−232-22-2−2323−23230000−22220022−2200000000−2ζ13+2ζ232ζ13−2ζ2300−2ζ5+2ζ72ζ5−2ζ7002ζ13−2ζ23−2ζ13+2ζ23002ζ5−2ζ7−2ζ5+2ζ70000000000000000000000000000000000000000
χ954-44-4-4-44400-200000000002-22−2323−23232-22-223−2323−23000022−2200−2222000000002ζ5−2ζ7−2ζ5+2ζ7002ζ13−2ζ23−2ζ13+2ζ2300−2ζ5+2ζ72ζ5−2ζ700−2ζ13+2ζ232ζ13−2ζ230000000000000000000000000000000000000000
χ964-44-4-4-44400-200000000002-22−2323−23232-22-223−2323−230000−22220022−2200000000−2ζ5+2ζ72ζ5−2ζ700−2ζ13+2ζ232ζ13−2ζ23002ζ5−2ζ7−2ζ5+2ζ7002ζ13−2ζ23−2ζ13+2ζ230000000000000000000000000000000000000000
χ974-4-444i−4i−4i4i0040000000000-4-4400004i−4i−4i4i000000−2i22i20022−2200000000−2i22i200−2i22i20022−220022−22000000000000000000000000000000000000000000
χ984-4-444i−4i−4i4i0040000000000-4-4400004i−4i−4i4i0000002i2−2i200−2222000000002i2−2i2002i2−2i200−222200−2222000000000000000000000000000000000000000000
χ994-4-444i−4i−4i4i00-2000000000022-223−23−2323−2i2i2i−2i2i3−2i3−2i32i300−2i22i20022−22000000002ζ13+2ζ23−2ζ13−2ζ23002ζ5+2ζ7−2ζ5−2ζ7002ζ5−2ζ7−2ζ5+2ζ7002ζ13−2ζ23−2ζ13+2ζ23000000000000000000000000000000000000000000
χ1004-4-444i−4i−4i4i00-2000000000022-223−23−2323−2i2i2i−2i2i3−2i3−2i32i3002i2−2i200−222200000000−2ζ13−2ζ232ζ13+2ζ2300−2ζ5−2ζ72ζ5+2ζ700−2ζ5+2ζ72ζ5−2ζ700−2ζ13+2ζ232ζ13−2ζ23000000000000000000000000000000000000000000
χ1014-4-444i−4i−4i4i00-2000000000022-2−232323−23−2i2i2i−2i−2i32i32i3−2i300−2i22i20022−22000000002ζ5+2ζ7−2ζ5−2ζ7002ζ13+2ζ23−2ζ13−2ζ23002ζ13−2ζ23−2ζ13+2ζ23002ζ5−2ζ7−2ζ5+2ζ7000000000000000000000000000000000000000000
χ1024-4-444i−4i−4i4i00-2000000000022-2−232323−23−2i2i2i−2i−2i32i32i3−2i3002i2−2i200−222200000000−2ζ5−2ζ72ζ5+2ζ700−2ζ13−2ζ232ζ13+2ζ2300−2ζ13+2ζ232ζ13−2ζ2300−2ζ5+2ζ72ζ5−2ζ7000000000000000000000000000000000000000000
χ1034-4-44−4i4i4i−4i0040000000000-4-440000−4i4i4i−4i000000−2i22i200−222200000000−2i22i200−2i22i200−222200−2222000000000000000000000000000000000000000000
χ1044-4-44−4i4i4i−4i0040000000000-4-440000−4i4i4i−4i0000002i2−2i20022−22000000002i2−2i2002i2−2i20022−220022−22000000000000000000000000000000000000000000
χ1054-4-44−4i4i4i−4i00-2000000000022-223−23−23232i−2i−2i2i−2i32i32i3−2i300−2i22i200−2222000000002ζ13+2ζ23−2ζ13−2ζ23002ζ5+2ζ7−2ζ5−2ζ700−2ζ5+2ζ72ζ5−2ζ700−2ζ13+2ζ232ζ13−2ζ23000000000000000000000000000000000000000000
χ1064-4-44−4i4i4i−4i00-2000000000022-223−23−23232i−2i−2i2i−2i32i32i3−2i3002i2−2i20022−2200000000−2ζ13−2ζ232ζ13+2ζ2300−2ζ5−2ζ72ζ5+2ζ7002ζ5−2ζ7−2ζ5+2ζ7002ζ13−2ζ23−2ζ13+2ζ23000000000000000000000000000000000000000000
χ1074-4-44−4i4i4i−4i00-2000000000022-2−232323−232i−2i−2i2i2i3−2i3−2i32i300−2i22i200−2222000000002ζ5+2ζ7−2ζ5−2ζ7002ζ13+2ζ23−2ζ13−2ζ2300−2ζ13+2ζ232ζ13−2ζ2300−2ζ5+2ζ72ζ5−2ζ7000000000000000000000000000000000000000000
χ1084-4-44−4i4i4i−4i00-2000000000022-2−232323−232i−2i−2i2i2i3−2i3−2i32i3002i2−2i20022−2200000000−2ζ5−2ζ72ζ5+2ζ700−2ζ13−2ζ232ζ13+2ζ23002ζ13−2ζ23−2ζ13+2ζ23002ζ5−2ζ7−2ζ5+2ζ7000000000000000000000000000000000000000000

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