Finite Group Databasebeta

← Group #10823165

Character table — Group #10823165

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order12222222222234444444466666661212121212121212666688888888121212122424242424242424242424242424242444448888121212121212121224242424242424242222444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-111
χ911111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1
χ1011111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111
χ1111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1
χ1211111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111
χ1311111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111
χ1411111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1
χ1511111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111
χ1611111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ172222222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2222200000000-2-2-2-200000000000000002-22-2000022-2-222-2-2000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2222200000000-2-2-2-20000000000000000-22-220000-2-222-2-222000000000000000000000000
χ19222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ20222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ21222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ22222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ23222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-10000000011113333−3−3−3−33333−3−3−3−32-22-20000-1-111-1-11133−3−333−3−30000000000000000
χ24222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-10000000011113333−3−3−3−33333−3−3−3−3-22-22000011-1-111-1-1−3−333−3−3330000000000000000
χ25222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1000000001111−3−3−3−33333−3−3−3−333332-22-20000-1-111-1-111−3−333−3−3330000000000000000
χ26222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1000000001111−3−3−3−33333−3−3−3−33333-22-22000011-1-111-1-133−3−333−3−30000000000000000
χ2722222222-2-2-2-22-2-2-22222-22222222-2-2-2-2-2-2-2-2-2-2-2-200000000222200000000000000002-2-22000022-2-2-2-222000000000000000000000000
χ2822222222-2-2-2-22-2-2-22222-22222222-2-2-2-2-2-2-2-2-2-2-2-20000000022220000000000000000-222-20000-2-22222-2-2000000000000000000000000
χ2922222222-2-2-2-2-1222-2-2-2-22-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111112222-2-2-2-21111-1-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ3022222222-2-2-2-2-1222-2-2-2-22-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111112222-2-2-2-21111-1-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ3122222222-2-2-2-2-1222-2-2-2-22-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-22222111111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ3222222222-2-2-2-2-1222-2-2-2-22-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-22222111111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ3322222222-2-2-2-2-1-2-2-22222-2-1-1-1-1-1-1-111111111111100000000-1-1-1-13333−3−3−3−3−3−3−3−333332-2-220000-1-11111-1-133−3−3−3−3330000000000000000
χ3422222222-2-2-2-2-1-2-2-22222-2-1-1-1-1-1-1-111111111111100000000-1-1-1-13333−3−3−3−3−3−3−3−33333-222-2000011-1-1-1-111−3−33333−3−30000000000000000
χ3522222222-2-2-2-2-1-2-2-22222-2-1-1-1-1-1-1-111111111111100000000-1-1-1-1−3−3−3−333333333−3−3−3−32-2-220000-1-11111-1-1−3−33333−3−30000000000000000
χ3622222222-2-2-2-2-1-2-2-22222-2-1-1-1-1-1-1-111111111111100000000-1-1-1-1−3−3−3−333333333−3−3−3−3-222-2000011-1-1-1-11133−3−3−3−3330000000000000000
χ3722-2-2-22-2222-2-2222-222-2-2-222-2-22-2-22222-2-2-2-222-2-20000000022-2-20000000000000000000000000000000000000000000000002i−2i2i−2i0000
χ3822-2-2-22-2222-2-2222-222-2-2-222-2-22-2-22222-2-2-2-222-2-20000000022-2-2000000000000000000000000000000000000000000000000−2i2i−2i2i0000
χ3922-2-2-22-2222-2-22-2-22-2-222222-2-22-2-2-2-2-2-2222222-2-200000000-2-2220000000000000000000000000000000000000000002-200000000002-2
χ4022-2-2-22-2222-2-22-2-22-2-222222-2-22-2-2-2-2-2-2222222-2-200000000-2-222000000000000000000000000000000000000000000-220000000000-22
χ4122-2-2-22-22-2-222222-2-2-222-222-2-22-2-22222-2-2-2-2-2-22200000000-2-2220000000000000000000000000000000000000000000000002i−2i−2i2i0000
χ4222-2-2-22-22-2-222222-2-2-222-222-2-22-2-22222-2-2-2-2-2-22200000000-2-222000000000000000000000000000000000000000000000000−2i2i2i−2i0000
χ4322-2-2-22-22-2-2222-2-2222-2-2222-2-22-2-2-2-2-2-22222-2-2220000000022-2-20000000000000000000000000000000000000000002-20000000000-22
χ4422-2-2-22-22-2-2222-2-2222-2-2222-2-22-2-2-2-2-2-22222-2-2220000000022-2-2000000000000000000000000000000000000000000-2200000000002-2
χ452-22-2-2-2222-22-222-222-22-2-2-2-2222-2-222-2-222-2-22-22-2000000002-22-2000000000000000000000000000000000000000000002i−2i2i−2i00000000
χ462-22-2-2-2222-22-222-222-22-2-2-2-2222-2-222-2-222-2-22-22-2000000002-22-200000000000000000000000000000000000000000000−2i2i−2i2i00000000
χ472-22-2-2-2222-22-22-22-2-22-222-2-2222-2-2-2-222-2-2222-22-200000000-22-2200000000000000000000000000000000000000002-200000000002-200
χ482-22-2-2-2222-22-22-22-2-22-222-2-2222-2-2-2-222-2-2222-22-200000000-22-220000000000000000000000000000000000000000-220000000000-2200
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χ502-22-2-2-222-22-2222-22-22-22-2-2-2222-2-222-2-222-2-2-22-2200000000-22-2200000000000000000000000000000000000000000000−2i2i2i−2i00000000
χ512-22-2-2-222-22-222-22-22-22-22-2-2222-2-2-2-222-2-222-22-22000000002-22-200000000000000000000000000000000000000002-20000000000-2200
χ522-22-2-2-222-22-222-22-22-22-22-2-2222-2-2-2-222-2-222-22-22000000002-22-20000000000000000000000000000000000000000-2200000000002-200
χ532-2-222-2-222-2-2222-2-22-2-222-2-2-2-222222-2-2-2-2222-2-2222-2-222-2-22-2-2222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000
χ542-2-222-2-222-2-2222-2-22-2-222-2-2-2-222222-2-2-2-2222-2-22-2-222-2-2222-2-22-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000
χ552-2-222-2-222-2-222-222-222-2-2-2-2-2-2222-2-22222-2-22-2-2200000000-222-2000000000000000000002i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ562-2-222-2-222-2-222-222-222-2-2-2-2-2-2222-2-22222-2-22-2-2200000000-222-200000000000000000000−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ572-2-222-2-222-2-22-12-2-22-2-2221111-1-1-1-1-11111-1-1-111-122-2-222-2-2-111-1-1-111-1-111-1-111-1-11100000000−i3i3−i3i3−i3i3−i3i3−i3i3i3−i3−i3i3i3−i30000000000000000
χ582-2-222-2-222-2-22-12-2-22-2-2221111-1-1-1-1-11111-1-1-111-122-2-222-2-2-111-1-1-111-1-111-1-111-1-11100000000i3−i3i3−i3i3−i3i3−i3i3−i3−i3i3i3−i3−i3i30000000000000000
χ592-2-222-2-222-2-22-12-2-22-2-2221111-1-1-1-1-11111-1-1-111-1-2-222-2-222-111-111-1-111-1-111-1-111-1-100000000−i3i3−i3i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3i30000000000000000
χ602-2-222-2-222-2-22-12-2-22-2-2221111-1-1-1-1-11111-1-1-111-1-2-222-2-222-111-111-1-111-1-111-1-111-1-100000000i3−i3i3−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3−i30000000000000000
χ612-2-222-2-222-2-22-1-222-222-2-21111-1-1-111-1-1-1-111-111-1000000001-1-1133−3−3−3−33333−3−3−3−33300002i−2i2i−2i−i3i3i3−i3−i3i3i3−i3−ii−ii−ii−ii0000000000000000
χ622-2-222-2-222-2-22-1-222-222-2-21111-1-1-111-1-1-1-111-111-1000000001-1-1133−3−3−3−33333−3−3−3−3330000−2i2i−2i2ii3−i3−i3i3i3−i3−i3i3i−ii−ii−ii−i0000000000000000
χ632-2-222-2-222-2-22-1-222-222-2-21111-1-1-111-1-1-1-111-111-1000000001-1-11−3−33333−3−3−3−33333−3−300002i−2i2i−2ii3−i3−i3i3i3−i3−i3i3−ii−ii−ii−ii0000000000000000
χ642-2-222-2-222-2-22-1-222-222-2-21111-1-1-111-1-1-1-111-111-1000000001-1-11−3−33333−3−3−3−33333−3−30000−2i2i−2i2i−i3i3i3−i3−i3i3i3−i3i−ii−ii−ii−i0000000000000000
χ652-2-222-2-22-222-222-2-2-222-22-2-2-2-222222-2-2-2-222-222-222-2-2-2-222-222-222-2-222-2-2-2-222-2-2220000000000000000000000000000000000000000
χ662-2-222-2-22-222-222-2-2-222-22-2-2-2-222222-2-2-2-222-222-2-2-22222-2-2-222-2-2-222-2-22222-2-222-2-20000000000000000000000000000000000000000
χ672-2-222-2-22-222-22-2222-2-22-2-2-2-2-2222-2-22222-2-2-222-2000000002-2-22000000000000000000002i−2i−2i2i000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ682-2-222-2-22-222-22-2222-2-22-2-2-2-2-2222-2-22222-2-2-222-2000000002-2-2200000000000000000000−2i2i2i−2i00000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ692-2-222-2-22-222-2-12-2-2-222-221111-1-1-1-1-11111-1-11-1-1122-2-2-2-2221-1-11-1-111-1-11111-1-111-1-100000000−i3i3−i3i3i3−i3i3−i3−i3i3i3−i3i3−i3−i3i30000000000000000
χ702-2-222-2-22-222-2-12-2-2-222-221111-1-1-1-1-11111-1-11-1-1122-2-2-2-2221-1-11-1-111-1-11111-1-111-1-100000000i3−i3i3−i3−i3i3−i3i3i3−i3−i3i3−i3i3i3−i30000000000000000
χ712-2-222-2-22-222-2-12-2-2-222-221111-1-1-1-1-11111-1-11-1-11-2-22222-2-21-1-1111-1-111-1-1-1-111-1-11100000000−i3i3−i3i3i3−i3i3−i3i3−i3−i3i3−i3i3i3−i30000000000000000
χ722-2-222-2-22-222-2-12-2-2-222-221111-1-1-1-1-11111-1-11-1-11-2-22222-2-21-1-1111-1-111-1-1-1-111-1-11100000000i3−i3i3−i3−i3i3−i3i3−i3i3i3−i3i3−i3−i3i30000000000000000
χ732-2-222-2-22-222-2-1-2222-2-22-21111-1-1-111-1-1-1-1111-1-1100000000-111-133−3−3−3−333−3−33333−3−300002i−2i−2i2i−i3i3i3−i3i3−i3−i3i3−ii−iii−ii−i0000000000000000
χ742-2-222-2-22-222-2-1-2222-2-22-21111-1-1-111-1-1-1-1111-1-1100000000-111-133−3−3−3−333−3−33333−3−30000−2i2i2i−2ii3−i3−i3i3−i3i3i3−i3i−ii−i−ii−ii0000000000000000
χ752-2-222-2-22-222-2-1-2222-2-22-21111-1-1-111-1-1-1-1111-1-1100000000-111-1−3−33333−3−333−3−3−3−33300002i−2i−2i2ii3−i3−i3i3−i3i3i3−i3−ii−iii−ii−i0000000000000000
χ762-2-222-2-22-222-2-1-2222-2-22-21111-1-1-111-1-1-1-1111-1-1100000000-111-1−3−33333−3−333−3−3−3−3330000−2i2i2i−2i−i3i3i3−i3i3−i3−i3i3i−ii−i−ii−ii0000000000000000
χ774444-4-4-4-400004000000004-44-4-44-400000000000022−2222−220000000022−2222−2222−2222−22000000000000000000000000000000000000000000000000
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χ824444-4-4-4-40000-200000000-22-222-22−2323−2323−2323−23230000−2222−222200000000−2ζ13+2ζ232ζ13−2ζ23−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7−2ζ5+2ζ72ζ5−2ζ7000000000000000000000000000000000000000000000000
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χ8444-4-44-44-400004000000004-4-44-4-4400000000000000002i2−2i22i2−2i20000000000002i2−2i22i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000
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χ8644-4-44-44-40000-200000000-222-222-223−2323−23−2323−2323000000002i2−2i22i2−2i2000000000000−2ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ70000000000000000000000000000000000000000
χ8744-4-44-44-40000-200000000-222-222-2−2323−232323−2323−2300000000−2i22i2−2i22i20000000000002ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ230000000000000000000000000000000000000000
χ8844-4-44-44-40000-200000000-222-222-2−2323−232323−2323−23000000002i2−2i22i2−2i2000000000000−2ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ230000000000000000000000000000000000000000
χ8944-4-4-44-4444-4-4-244-444-4-4-4-2-222-222-2-2-2-22222-2-22200000000-2-22200000000000000000000000000000000000000000000000000000000
χ9044-4-4-44-4444-4-4-2-4-44-4-4444-2-222-2222222-2-2-2-2-2-2220000000022-2-200000000000000000000000000000000000000000000000000000000
χ9144-4-4-44-44-4-444-244-4-4-444-4-2-222-222-2-2-2-2222222-2-20000000022-2-200000000000000000000000000000000000000000000000000000000
χ9244-4-4-44-44-4-444-2-4-4444-4-44-2-222-2222222-2-2-2-222-2-200000000-2-22200000000000000000000000000000000000000000000000000000000
χ934-44-444-4-40000400000000-444-4-4-440000000000000000−2i22i22i2−2i2000000000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000000000
χ944-44-444-4-40000400000000-444-4-4-4400000000000000002i2−2i2−2i22i20000000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000000000
χ954-44-444-4-40000-2000000002-2-2222-223−23−232323−23−232300000000−2i22i22i2−2i20000000000002ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ232ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ70000000000000000000000000000000000000000
χ964-44-444-4-40000-2000000002-2-2222-223−23−232323−23−2323000000002i2−2i2−2i22i2000000000000−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ23−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ70000000000000000000000000000000000000000
χ974-44-444-4-40000-2000000002-2-2222-2−232323−23−232323−2300000000−2i22i22i2−2i20000000000002ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ72ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ230000000000000000000000000000000000000000
χ984-44-444-4-40000-2000000002-2-2222-2−232323−23−232323−23000000002i2−2i2−2i22i2000000000000−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ7−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ230000000000000000000000000000000000000000
χ994-44-4-4-4444-44-4-24-444-44-4-422-2-2-222-2-222-2-222-22-2200000000-22-2200000000000000000000000000000000000000000000000000000000
χ1004-44-4-4-4444-44-4-2-44-4-44-44422-2-2-22222-2-222-2-2-22-22000000002-22-200000000000000000000000000000000000000000000000000000000
χ1014-44-4-4-444-44-44-24-44-44-44-422-2-2-222-2-222-2-2222-22-2000000002-22-200000000000000000000000000000000000000000000000000000000
χ1024-44-4-4-444-44-44-2-44-44-44-4422-2-2-22222-2-222-2-22-22-200000000-22-2200000000000000000000000000000000000000000000000000000000
χ1034-4-44-444-40000400000000-44-44-44-400000000000022−22−22220000000022−22−222222−22−2222000000000000000000000000000000000000000000000000
χ1044-4-44-444-40000400000000-44-44-44-4000000000000−222222−2200000000−222222−22−222222−22000000000000000000000000000000000000000000000000
χ1054-4-44-444-40000-2000000002-22-22-2223−23−2323−232323−23000022−22−2222000000002ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ23000000000000000000000000000000000000000000000000
χ1064-4-44-444-40000-2000000002-22-22-2223−23−2323−232323−230000−222222−2200000000−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ23000000000000000000000000000000000000000000000000
χ1074-4-44-444-40000-2000000002-22-22-22−232323−2323−23−2323000022−22−2222000000002ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ7000000000000000000000000000000000000000000000000
χ1084-4-44-444-40000-2000000002-22-22-22−232323−2323−23−23230000−222222−2200000000−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ7000000000000000000000000000000000000000000000000

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