Finite Group Databasebeta

← Group #10822992

Character table — Group #10822992

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order12224444222222344444466666661212121212121212666688888888121212122424242424242424242424242424242444448888121212121212121224242424242424242222444488888888
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
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1
χ91111-1-1-1-111-1-1-1-111-1-1111-1-1-1-111111-1-1-1-11111-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111-1-1-1-111-1-1-1-111-1-1111-1-1-1-111111-1-1-1-11111-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ111111-1-1-1-111-1-1-1-111-1-1111-1-1-1-111111-1-1-1-11111-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111
χ121111-1-1-1-111-1-1-1-111-1-1111-1-1-1-111111-1-1-1-11111-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ131111-1-1-1-111-1-1-1-111-1-1111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ141111-1-1-1-111-1-1-1-111-1-1111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ151111-1-1-1-111-1-1-1-111-1-1111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ161111-1-1-1-111-1-1-1-111-1-1111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ1722222222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ1822222222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ1922222222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ2022222222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ212222222222-2-2-2-22-222-2-2-2-2-2-2-2222-2-22222-2-222-2-200000000-2-222000000000000000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ222222222222-2-2-2-22-222-2-2-2-2-2-2-2222-2-22222-2-222-2-200000000-2-22200000000000000000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ232222222222-2-2-2-2-1-222-2-2-21111-1-1-111-1-1-1-111-1-1110000000011-1-13333−3−3−3−33333−3−3−3−300002i−2i2i−2i−i3−i3i3i3−i3−i3i3i3−i−iii−i−iii0000000000000000
χ242222222222-2-2-2-2-1-222-2-2-21111-1-1-111-1-1-1-111-1-1110000000011-1-13333−3−3−3−33333−3−3−3−30000−2i2i−2i2ii3i3−i3−i3i3i3−i3−i3ii−i−iii−i−i0000000000000000
χ252222222222-2-2-2-2-1-222-2-2-21111-1-1-111-1-1-1-111-1-1110000000011-1-1−3−3−3−33333−3−3−3−3333300002i−2i2i−2ii3i3−i3−i3i3i3−i3−i3−i−iii−i−iii0000000000000000
χ262222222222-2-2-2-2-1-222-2-2-21111-1-1-111-1-1-1-111-1-1110000000011-1-1−3−3−3−33333−3−3−3−333330000−2i2i−2i2i−i3−i3i3i3−i3−i3i3i3ii−i−iii−i−i0000000000000000
χ2722222222-2-222-2-222-2-22-2-2222222222222222-2-2-2-222-2-222-2-2-2-2-2-222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000
χ2822222222-2-222-2-222-2-22-2-2222222222222222-2-2-2-2-2-222-2-222-2-2-2-2-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000
χ2922222222-2-222-2-2-12-2-22-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111122-2-222-2-21111-1-111-1-111-1-111-1-11100000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000000000000000
χ3022222222-2-222-2-2-12-2-22-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111122-2-222-2-21111-1-111-1-111-1-111-1-11100000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000000000000000
χ3122222222-2-222-2-2-12-2-22-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-222-2-222111111-1-111-1-111-1-111-1-100000000−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i30000000000000000
χ3222222222-2-222-2-2-12-2-22-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-222-2-222111111-1-111-1-111-1-111-1-100000000i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i30000000000000000
χ3322222222-2-2-2-2222-2-2-2-222-2-2-2-2222-2-22222-2-2-2-2220000000022-2-200000000000000002-22-200002-2-222-2-22000000000000000000000000
χ3422222222-2-2-2-2222-2-2-2-222-2-2-2-2222-2-22222-2-2-2-2220000000022-2-20000000000000000-22-220000-222-2-222-2000000000000000000000000
χ3522222222-2-2-2-222-1-2-2-2-2221111-1-1-111-1-1-1-11111-1-100000000-1-11133−3−3−3−33333−3−3−3−3332-22-20000-111-1-111-13−3−333−3−330000000000000000
χ3622222222-2-2-2-222-1-2-2-2-2221111-1-1-111-1-1-1-11111-1-100000000-1-11133−3−3−3−33333−3−3−3−333-22-2200001-1-111-1-11−333−3−333−30000000000000000
χ3722222222-2-2-2-222-1-2-2-2-2221111-1-1-111-1-1-1-11111-1-100000000-1-111−3−33333−3−3−3−33333−3−32-22-20000-111-1-111-1−333−3−333−30000000000000000
χ3822222222-2-2-2-222-1-2-2-2-2221111-1-1-111-1-1-1-11111-1-100000000-1-111−3−33333−3−3−3−33333−3−3-22-2200001-1-111-1-113−3−333−3−330000000000000000
χ392222-2-2-2-22222222-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2222200000000-2-2-2-2000000000000000000002i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ402222-2-2-2-22222222-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2222200000000-2-2-2-200000000000000000000−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ412222-2-2-2-2222222-1-2-2-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-10000000011113333−3−3−3−3−3−3−3−3333300002i−2i−2i2i−i3−i3i3i3i3i3−i3−i3−i−iiiii−i−i0000000000000000
χ422222-2-2-2-2222222-1-2-2-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-10000000011113333−3−3−3−3−3−3−3−333330000−2i2i2i−2ii3i3−i3−i3−i3−i3i3i3ii−i−i−i−iii0000000000000000
χ432222-2-2-2-2222222-1-2-2-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1000000001111−3−3−3−333333333−3−3−3−300002i−2i−2i2ii3i3−i3−i3−i3−i3i3i3−i−iiiii−i−i0000000000000000
χ442222-2-2-2-2222222-1-2-2-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1000000001111−3−3−3−333333333−3−3−3−30000−2i2i2i−2i−i3−i3i3i3i3i3−i3−i3ii−i−i−i−iii0000000000000000
χ452222-2-2-2-222-2-2-2-2-12-2-22221111-1-1-1-1-11111-1-1-1-1112222-2-2-2-2-1-111-1-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ462222-2-2-2-222-2-2-2-2-12-2-22221111-1-1-1-1-11111-1-1-1-1112222-2-2-2-2-1-111-1-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ472222-2-2-2-222-2-2-2-2-12-2-22221111-1-1-1-1-11111-1-1-1-111-2-2-2-22222-1-11111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ482222-2-2-2-222-2-2-2-2-12-2-22221111-1-1-1-1-11111-1-1-1-111-2-2-2-22222-1-11111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ492222-2-2-2-2-2-222-2-22-222-2222222222-2-2-2-2-2-2-2-2-2-2-2-200000000222200000000000000002-2-2200002-2-22-222-2000000000000000000000000
χ502222-2-2-2-2-2-222-2-22-222-2222222222-2-2-2-2-2-2-2-2-2-2-2-20000000022220000000000000000-222-20000-222-22-2-22000000000000000000000000
χ512222-2-2-2-2-2-222-2-2-1-222-222-1-1-1-1-1-1-111111111111100000000-1-1-1-133−3−3−3−333−3−33333−3−32-2-220000-111-11-1-113−3−33−333−30000000000000000
χ522222-2-2-2-2-2-222-2-2-1-222-222-1-1-1-1-1-1-111111111111100000000-1-1-1-133−3−3−3−333−3−33333−3−3-222-200001-1-11-111-1−333−33−3−330000000000000000
χ532222-2-2-2-2-2-222-2-2-1-222-222-1-1-1-1-1-1-111111111111100000000-1-1-1-1−3−33333−3−333−3−3−3−3332-2-220000-111-11-1-11−333−33−3−330000000000000000
χ542222-2-2-2-2-2-222-2-2-1-222-222-1-1-1-1-1-1-111111111111100000000-1-1-1-1−3−33333−3−333−3−3−3−333-222-200001-1-11-111-13−3−33−333−30000000000000000
χ552222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-222222-2-2-2-222-2-22222-2-2-2-222-2-22222-2-222-2-2-2-222-2-2220000000000000000000000000000000000000000
χ562222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-222222-2-2-2-222-2-222-2-22222-2-2-2-222-2-222-2-22222-2-222-2-20000000000000000000000000000000000000000
χ572222-2-2-2-2-2-2-2-222-12222-2-21111-1-1-1-1-11111-1-111-1-122-2-2-2-22211-1-1-1-111-1-11111-1-111-1-100000000−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i30000000000000000
χ582222-2-2-2-2-2-2-2-222-12222-2-21111-1-1-1-1-11111-1-111-1-122-2-2-2-22211-1-1-1-111-1-11111-1-111-1-100000000i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i30000000000000000
χ592222-2-2-2-2-2-2-2-222-12222-2-21111-1-1-1-1-11111-1-111-1-1-2-22222-2-211-1-111-1-111-1-1-1-111-1-11100000000−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3−i3i3−i3i30000000000000000
χ602222-2-2-2-2-2-2-2-222-12222-2-21111-1-1-1-1-11111-1-111-1-1-2-22222-2-211-1-111-1-111-1-1-1-111-1-11100000000i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3i3−i3i3−i30000000000000000
χ612-2-2222-2-22-22-22-2222-2-22-222-2-22-2-22222-2-2-2-22-22-2000000002-22-200000000000000000000000000000000000000000000000000002i−2i2i−2i
χ622-2-2222-2-22-22-22-2222-2-22-222-2-22-2-22222-2-2-2-22-22-2000000002-22-20000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ632-2-2222-2-22-2-22-222-22-22-22-2-2222-2-2-2-222-2-2222-2-2200000000-222-200000000000000000000000000000000000000002-2002-20000000000
χ642-2-2222-2-22-2-22-222-22-22-22-2-2222-2-2-2-222-2-2222-2-2200000000-222-20000000000000000000000000000000000000000-2200-220000000000
χ652-2-2222-2-2-222-2-2222-22-2-2222-2-22-2-22222-2-2-2-2-22-2200000000-22-220000000000000000000000000000000000000000000000002i−2i2i−2i0000
χ662-2-2222-2-2-222-2-2222-22-2-2222-2-22-2-22222-2-2-2-2-22-2200000000-22-22000000000000000000000000000000000000000000000000−2i2i−2i2i0000
χ672-2-2222-2-2-22-222-22-2-2222-2-2-2222-2-2-2-222-2-222-222-2000000002-2-220000000000000000000000000000000000000000002-2002-200000000
χ682-2-2222-2-2-22-222-22-2-2222-2-2-2222-2-2-2-222-2-222-222-2000000002-2-22000000000000000000000000000000000000000000-2200-2200000000
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χ702-2-22-2-2222-22-22-22-2-222-2222-2-22-2-2-2-2-2-222222-22-200000000-22-220000000000000000000000000000000000000000-22002-20000000000
χ712-2-22-2-2222-2-22-2222-22-22-2-2-2222-2-222-2-222-2-22-2-22000000002-2-2200000000000000000000000000000000000000000000000000002i−2i−2i2i
χ722-2-22-2-2222-2-22-2222-22-22-2-2-2222-2-222-2-222-2-22-2-22000000002-2-220000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ732-2-22-2-222-222-2-222-22-222-222-2-22-2-2-2-2-2-22222-22-22000000002-22-20000000000000000000000000000000000000000002-200-2200000000
χ742-2-22-2-222-222-2-222-22-222-222-2-22-2-2-2-2-2-22222-22-22000000002-22-2000000000000000000000000000000000000000000-22002-200000000
χ752-2-22-2-222-22-222-2222-2-2-22-2-2222-2-222-2-222-2-2-222-200000000-222-20000000000000000000000000000000000000000000000002i−2i−2i2i0000
χ762-2-22-2-222-22-222-2222-2-2-22-2-2222-2-222-2-222-2-2-222-200000000-222-2000000000000000000000000000000000000000000000000−2i2i2i−2i0000
χ7744-4-44i−4i4i−4i00000040000000000-44-4004i−4i4i−4i0000000022−2200−2i22i200000022−220022−2200−2i22i200−2i22i20000000000000000000000000000000000000000
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χ7944-4-44i−4i4i−4i000000-2000000−2i32i3−2i32i32-2223−23−2i2i−2i2i23−2300000022−2200−2i22i20000002ζ13−2ζ23−2ζ13+2ζ23002ζ5−2ζ7−2ζ5+2ζ7002ζ5+2ζ7−2ζ5−2ζ7002ζ13+2ζ23−2ζ13−2ζ230000000000000000000000000000000000000000
χ8044-4-44i−4i4i−4i000000-2000000−2i32i3−2i32i32-2223−23−2i2i−2i2i23−23000000−2222002i2−2i2000000−2ζ13+2ζ232ζ13−2ζ2300−2ζ5+2ζ72ζ5−2ζ700−2ζ5−2ζ72ζ5+2ζ700−2ζ13−2ζ232ζ13+2ζ230000000000000000000000000000000000000000
χ8144-4-44i−4i4i−4i000000-20000002i3−2i32i3−2i32-22−2323−2i2i−2i2i−232300000022−2200−2i22i20000002ζ5−2ζ7−2ζ5+2ζ7002ζ13−2ζ23−2ζ13+2ζ23002ζ13+2ζ23−2ζ13−2ζ23002ζ5+2ζ7−2ζ5−2ζ70000000000000000000000000000000000000000
χ8244-4-44i−4i4i−4i000000-20000002i3−2i32i3−2i32-22−2323−2i2i−2i2i−2323000000−2222002i2−2i2000000−2ζ5+2ζ72ζ5−2ζ700−2ζ13+2ζ232ζ13−2ζ2300−2ζ13−2ζ232ζ13+2ζ2300−2ζ5−2ζ72ζ5+2ζ70000000000000000000000000000000000000000
χ8344-4-4−4i4i−4i4i00000040000000000-44-400−4i4i−4i4i0000000022−22002i2−2i200000022−220022−22002i2−2i2002i2−2i20000000000000000000000000000000000000000
χ8444-4-4−4i4i−4i4i00000040000000000-44-400−4i4i−4i4i00000000−222200−2i22i2000000−222200−222200−2i22i200−2i22i20000000000000000000000000000000000000000
χ8544-4-4−4i4i−4i4i000000-2000000−2i32i3−2i32i32-22−23232i−2i2i−2i−232300000022−22002i2−2i20000002ζ5−2ζ7−2ζ5+2ζ7002ζ13−2ζ23−2ζ13+2ζ2300−2ζ13−2ζ232ζ13+2ζ2300−2ζ5−2ζ72ζ5+2ζ70000000000000000000000000000000000000000
χ8644-4-4−4i4i−4i4i000000-2000000−2i32i3−2i32i32-22−23232i−2i2i−2i−2323000000−222200−2i22i2000000−2ζ5+2ζ72ζ5−2ζ700−2ζ13+2ζ232ζ13−2ζ23002ζ13+2ζ23−2ζ13−2ζ23002ζ5+2ζ7−2ζ5−2ζ70000000000000000000000000000000000000000
χ8744-4-4−4i4i−4i4i000000-20000002i3−2i32i3−2i32-2223−232i−2i2i−2i23−2300000022−22002i2−2i20000002ζ13−2ζ23−2ζ13+2ζ23002ζ5−2ζ7−2ζ5+2ζ700−2ζ5−2ζ72ζ5+2ζ700−2ζ13−2ζ232ζ13+2ζ230000000000000000000000000000000000000000
χ8844-4-4−4i4i−4i4i000000-20000002i3−2i32i3−2i32-2223−232i−2i2i−2i23−23000000−222200−2i22i2000000−2ζ13+2ζ232ζ13−2ζ2300−2ζ5+2ζ72ζ5−2ζ7002ζ5+2ζ7−2ζ5−2ζ7002ζ13+2ζ23−2ζ13−2ζ230000000000000000000000000000000000000000
χ894-44-44i−4i−4i4i00000040000000000-4-44004i−4i−4i4i00000022−2200−2i22i200000022−220022−2200−2i22i200−2i22i2000000000000000000000000000000000000000000
χ904-44-44i−4i−4i4i00000040000000000-4-44004i−4i−4i4i000000−2222002i2−2i2000000−222200−2222002i2−2i2002i2−2i2000000000000000000000000000000000000000000
χ914-44-44i−4i−4i4i000000-2000000−2i32i32i3−2i322-223−23−2i2i2i−2i−2323000022−2200−2i22i20000002ζ5−2ζ7−2ζ5+2ζ7002ζ13−2ζ23−2ζ13+2ζ23002ζ13+2ζ23−2ζ13−2ζ23002ζ5+2ζ7−2ζ5−2ζ7000000000000000000000000000000000000000000
χ924-44-44i−4i−4i4i000000-2000000−2i32i32i3−2i322-223−23−2i2i2i−2i−23230000−2222002i2−2i2000000−2ζ5+2ζ72ζ5−2ζ700−2ζ13+2ζ232ζ13−2ζ2300−2ζ13−2ζ232ζ13+2ζ2300−2ζ5−2ζ72ζ5+2ζ7000000000000000000000000000000000000000000
χ934-44-44i−4i−4i4i000000-20000002i3−2i3−2i32i322-2−2323−2i2i2i−2i23−23000022−2200−2i22i20000002ζ13−2ζ23−2ζ13+2ζ23002ζ5−2ζ7−2ζ5+2ζ7002ζ5+2ζ7−2ζ5−2ζ7002ζ13+2ζ23−2ζ13−2ζ23000000000000000000000000000000000000000000
χ944-44-44i−4i−4i4i000000-20000002i3−2i3−2i32i322-2−2323−2i2i2i−2i23−230000−2222002i2−2i2000000−2ζ13+2ζ232ζ13−2ζ2300−2ζ5+2ζ72ζ5−2ζ700−2ζ5−2ζ72ζ5+2ζ700−2ζ13−2ζ232ζ13+2ζ23000000000000000000000000000000000000000000
χ954-44-4−4i4i4i−4i00000040000000000-4-4400−4i4i4i−4i00000022−22002i2−2i200000022−220022−22002i2−2i2002i2−2i2000000000000000000000000000000000000000000
χ964-44-4−4i4i4i−4i00000040000000000-4-4400−4i4i4i−4i000000−222200−2i22i2000000−222200−222200−2i22i200−2i22i2000000000000000000000000000000000000000000
χ974-44-4−4i4i4i−4i000000-2000000−2i32i32i3−2i322-2−23232i−2i−2i2i23−23000022−22002i2−2i20000002ζ13−2ζ23−2ζ13+2ζ23002ζ5−2ζ7−2ζ5+2ζ700−2ζ5−2ζ72ζ5+2ζ700−2ζ13−2ζ232ζ13+2ζ23000000000000000000000000000000000000000000
χ984-44-4−4i4i4i−4i000000-2000000−2i32i32i3−2i322-2−23232i−2i−2i2i23−230000−222200−2i22i2000000−2ζ13+2ζ232ζ13−2ζ2300−2ζ5+2ζ72ζ5−2ζ7002ζ5+2ζ7−2ζ5−2ζ7002ζ13+2ζ23−2ζ13−2ζ23000000000000000000000000000000000000000000
χ994-44-4−4i4i4i−4i000000-20000002i3−2i3−2i32i322-223−232i−2i−2i2i−2323000022−22002i2−2i20000002ζ5−2ζ7−2ζ5+2ζ7002ζ13−2ζ23−2ζ13+2ζ2300−2ζ13−2ζ232ζ13+2ζ2300−2ζ5−2ζ72ζ5+2ζ7000000000000000000000000000000000000000000
χ1004-44-4−4i4i4i−4i000000-20000002i3−2i3−2i32i322-223−232i−2i−2i2i−23230000−222200−2i22i2000000−2ζ5+2ζ72ζ5−2ζ700−2ζ13+2ζ232ζ13−2ζ23002ζ13+2ζ23−2ζ13−2ζ23002ζ5+2ζ7−2ζ5−2ζ7000000000000000000000000000000000000000000
χ1014-4-4444-4-44-44-44-4-244-4-44-4-2-222-222-2-2-2-22222-22-2200000000-22-2200000000000000000000000000000000000000000000000000000000
χ1024-4-4444-4-44-4-44-44-2-44-44-4422-2-2-22222-2-222-2-2-222-2000000002-2-2200000000000000000000000000000000000000000000000000000000
χ1034-4-4444-4-4-444-4-44-24-44-4-44-2-222-222-2-2-2-222222-22-2000000002-22-200000000000000000000000000000000000000000000000000000000
χ1044-4-4444-4-4-44-444-4-2-4-4444-422-2-2-22222-2-222-2-22-2-2200000000-222-200000000000000000000000000000000000000000000000000000000
χ1054-4-44-4-4444-44-44-4-2-4-444-44-2-222-2222222-2-2-2-2-22-22000000002-22-200000000000000000000000000000000000000000000000000000000
χ1064-4-44-4-4444-4-44-44-24-44-44-422-2-2-222-2-222-2-222-222-200000000-222-200000000000000000000000000000000000000000000000000000000
χ1074-4-44-4-444-444-4-44-2-44-444-4-2-222-2222222-2-2-2-22-22-200000000-22-2200000000000000000000000000000000000000000000000000000000
χ1084-4-44-4-444-44-444-4-244-4-4-4422-2-2-222-2-222-2-2222-2-22000000002-2-2200000000000000000000000000000000000000000000000000000000

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