Finite Group Databasebeta

← Group #13155972

Character table — Group #13155972

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222222224444444444444444444444446666668888888888121212121212121212121212121212121212121212121212121212121212121212121212121212242424242424363636363636363636363636727272216
order1222333446666666661212121233366666666612121212121212121212121244121212123666121212121212444881212121212121212121212121212121212122424242424242424242424242424242412121212121222666688242424242662
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1
χ61111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-11
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1
χ92222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2000022-2-2-2-200002222-2-2-2-200000000000000000000000000000000000000
χ102222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-220000-2-222220000-2-2-2-2222200000000000000000000000000000000000000
χ11222222-122222-122-12-122222-1-122-12-1-1-1-1-12-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022-1-1-1-122-1-1-1-10000000000
χ12222222-122222-122-12-122222-1-122-12-1-1-1-1-12-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2002222-1-11111-1-1-1-1-1-1-1-10000000000000000-2-21111-2-211110000000000
χ13222222-122222-122-12-122222-1-122-12-1-1-1-1-12-1-122-1-1-1-1222-2-21111-1-1-1-1-1-1-1-1-1-1-22200-2-2-2-211-1-1-1-111111111000000000000000022-1-1-1-1-2-211110000000000
χ14222222-122222-122-12-122222-1-122-12-1-1-1-1-12-1-122-1-1-1-1222-2-21111-1-1-1-1-1-1-1-1-1-1-2-2-200-2-2-2-2111111111111110000000000000000-2-2111122-1-1-1-10000000000
χ15222222-1-2-2222-122-12-1-2-2-2-22-1-122-12-1-1-1-1-1-211-2-21111-2-2-222-1-1-1-1-1-1-1-1111111-2000022-2-211−i3−i3i3i3-1-1-1-11111000000000000000000−i3−i3i3i300−i3−i3i3i30000000000
χ16222222-1-2-2222-122-12-1-2-2-2-22-1-122-12-1-1-1-1-1-211-2-21111-2-2-222-1-1-1-1-1-1-1-1111111-2000022-2-211i3i3−i3−i3-1-1-1-11111000000000000000000i3i3−i3−i300i3i3−i3−i30000000000
χ17222222-1-2-2222-122-12-1-2-2-2-22-1-122-12-1-1-1-1-1-211-2-21111-2-2-2-2-21111-1-1-1-111111120000-2-222-1-1−i3−i3i3i31111-1-1-1-1000000000000000000−i3−i3i3i300i3i3−i3−i30000000000
χ18222222-1-2-2222-122-12-1-2-2-2-22-1-122-12-1-1-1-1-1-211-2-21111-2-2-2-2-21111-1-1-1-111111120000-2-222-1-1i3i3−i3−i31111-1-1-1-1000000000000000000i3i3−i3−i300−i3−i3i3i30000000000
χ1922222-1222-12-12222-122222-12-1-1-1-1-12-122-1-122-1-12222-1-1-1000000-1-1-1-1-1-1-1-1-1-1022220000002222000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002-1-10
χ2022222-1222-12-12222-122222-12-1-1-1-1-12-122-1-122-1-12222-1-1-1000000-1-1-1-1-1-1-1-1-1-1022-2-2000000222200000000-2-2-2-2111111111111-1-1-1-1-1-1000000000000-2110
χ2122222-1222-12-12222-122222-12-1-1-1-1-12-122-1-122-1-12222-1-1-1000000-1-1-1-1-1-1-1-1-1-10-2-222000000-2-2-2-2000000002222-1-1-1-1-1-1-1-1-1-1-1-1111111000000000000-2110
χ2222222-1222-12-12222-122222-12-1-1-1-1-12-122-1-122-1-12222-1-1-1000000-1-1-1-1-1-1-1-1-1-10-2-2-2-2000000-2-2-2-200000000-2-2-2-21111111111111111110000000000002-1-10
χ232222-122222-122-1-1222-1-1-1-1-1-12-1-12-1-12-1-12222-1-1-1-1-1-12-1-1222222-1-1-1-122-1-1-1-120022-1-1-1-1220000-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000022-1-1-1-10000
χ242222-122222-122-1-1222-1-1-1-1-1-12-1-12-1-12-1-12222-1-1-1-1-1-12-1-1222222-1-1-1-122-1-1-1-1200-2-2-1-1-1-1220000-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000-2-211110000
χ252222-122222-122-1-1222-1-1-1-1-1-12-1-12-1-12-1-12222-1-1-1-1-1-12-1-1-2-2-2-2-2-2-1-1-1-122-1-1-1-1-200221111-2-2000011111111-1-1-1-12222-1-1-1-1-1-1-1-1000000000000-2-211110000
χ262222-122222-122-1-1222-1-1-1-1-1-12-1-12-1-12-1-12222-1-1-1-1-1-12-1-1-2-2-2-2-2-2-1-1-1-122-1-1-1-1-200-2-21111-2-20000111111111111-2-2-2-21111111100000000000022-1-1-1-10000
χ272222-122-2-22-122-1-12221111-1-12-1-12-1-12-1-12-2-2-2111111-211222222-1-1-1-1-2-21111-20000-1-111-2-20000-1-1-1-1111133−3−300003333−3−3−3−30000000000000033−3−30000
χ282222-122-2-22-122-1-12221111-1-12-1-12-1-12-1-12-2-2-2111111-211222222-1-1-1-1-2-21111-20000-1-111-2-20000-1-1-1-11111−3−3330000−3−3−3−3333300000000000000−3−3330000
χ292222-122-2-22-122-1-12221111-1-12-1-12-1-12-1-12-2-2-2111111-211-2-2-2-2-2-2-1-1-1-1-2-211112000011-1-12200001111-1-1-1-133−3−300003333−3−3−3−300000000000000−3−3330000
χ302222-122-2-22-122-1-12221111-1-12-1-12-1-12-1-12-2-2-2111111-211-2-2-2-2-2-2-1-1-1-1-2-211112000011-1-12200001111-1-1-1-1−3−3330000−3−3−3−333330000000000000033−3−30000
χ3122-2-22222-2-2222-2-2-2-2-222-2-2222-2-2-2222-2-2-222-22222-2-2-2-2-20000002-2-222-222-2-202i−2i000000002i−2i2i−2i0000000000000000000000002i−2i2i−2i2i−2i0000000000000000
χ3222-2-22222-2-2222-2-2-2-2-222-2-2222-2-2-2222-2-2-222-22222-2-2-2-2-20000002-2-222-222-2-20−2i2i00000000−2i2i−2i2i000000000000000000000000−2i2i−2i2i−2i2i0000000000000000
χ3322-2-2222-22-2222-2-2-2-2-2-2-222222-2-2-2222-2-2-2-2-22-2-2-2-2222220000002-2-22-22-2-2220000000000000000000000000000000000000000000002-22-22-20000000000
χ3422-2-2222-22-2222-2-2-2-2-2-2-222222-2-2-2222-2-2-2-2-22-2-2-2-2222220000002-2-22-22-2-222000000000000000000000000000000000000000000000-22-22-220000000000
χ3522-2-222-12-2-222-1-2-21-2122-2-22-1-1-2-212-1-11112-1122-1-111-2-2-20033−3−3-111-1-11-1-11102i−2i0000003−3−ii−ii33−3−333−3−300000000000000002i−2i−ii−ii00−i3i3i3−i30000000000
χ3622-2-222-12-2-222-1-2-21-2122-2-22-1-1-2-212-1-11112-1122-1-111-2-2-20033−3−3-111-1-11-1-1110−2i2i0000003−3i−ii−i33−3−333−3−30000000000000000−2i2ii−ii−i00i3−i3−i3i30000000000
χ3722-2-222-12-2-222-1-2-21-2122-2-22-1-1-2-212-1-11112-1122-1-111-2-2-200−3−333-111-1-11-1-11102i−2i000000−33−ii−ii−3−333−3−33300000000000000002i−2i−ii−ii00i3−i3−i3i30000000000
χ3822-2-222-12-2-222-1-2-21-2122-2-22-1-1-2-212-1-11112-1122-1-111-2-2-200−3−333-111-1-11-1-1110−2i2i000000−33i−ii−i−3−333−3−3330000000000000000−2i2ii−ii−i00−i3i3i3−i30000000000
χ3922-2-222-1-22-222-1-2-21-21-2-2222-1-1-2-212-1-1111-21-1-2-211-1-12220033−3−3-111-11-111-1-1000000000−333−3−3333−3−3−3−3330000000000000000003−3−332-2-11-110000000000
χ4022-2-222-1-22-222-1-2-21-21-2-2222-1-1-2-212-1-1111-21-1-2-211-1-12220033−3−3-111-11-111-1-1000000000−33−333−333−3−3−3−333000000000000000000−333−3-221-11-10000000000
χ4122-2-222-1-22-222-1-2-21-21-2-2222-1-1-2-212-1-1111-21-1-2-211-1-122200−3−333-111-11-111-1-10000000003−33−3−33−3−33333−3−30000000000000000003−3−33-221-11-10000000000
χ4222-2-222-1-22-222-1-2-21-21-2-2222-1-1-2-212-1-1111-21-1-2-211-1-122200−3−333-111-11-111-1-10000000003−3−333−3−3−33333−3−3000000000000000000−333−32-2-11-110000000000
χ4322-2-22-122-212-12-2-2-21-222-2-2-12-1111-12-1-2-21-12-2-1-122-2-2111000000-111-1-11-1-11102i−2i000000002i−2i2i−2i00000000000033−3−333−3−333−3−3−ii−ii−ii0000000000000−i3i30
χ4422-2-22-122-212-12-2-2-21-222-2-2-12-1111-12-1-2-21-12-2-1-122-2-2111000000-111-1-11-1-11102i−2i000000002i−2i2i−2i000000000000−3−333−3−333−3−333−ii−ii−ii0000000000000i3−i30
χ4522-2-22-122-212-12-2-2-21-222-2-2-12-1111-12-1-2-21-12-2-1-122-2-2111000000-111-1-11-1-1110−2i2i00000000−2i2i−2i2i00000000000033−3−333−3−333−3−3i−ii−ii−i0000000000000i3−i30
χ4622-2-22-122-212-12-2-2-21-222-2-2-12-1111-12-1-2-21-12-2-1-122-2-2111000000-111-1-11-1-1110−2i2i00000000−2i2i−2i2i000000000000−3−333−3−333−3−333i−ii−ii−i0000000000000−i3i30
χ472-2-2222200-2-2-2-22-2-22200002222-2-2-2-2-22-220000000000002-22-22-222-2-20000000002−22-2000000002-22-200002−22−22−22−22−22−22−22−20000000000002−22−22−20000
χ482-2-2222200-2-2-2-22-2-22200002222-2-2-2-2-22-220000000000002-22-22-222-2-2000000000−222-2000000002-22-20000−22−22−22−22−22−22−22−22000000000000−22−22−220000
χ492-2-2222200-2-2-2-22-2-22200002222-2-2-2-2-22-22000000000000-22-22-2222-2-20000000002−2-2200000000-22-2200002−22−22−22−22−22−22−22−2000000000000−22−22−220000
χ502-2-2222200-2-2-2-22-2-22200002222-2-2-2-2-22-22000000000000-22-22-2222-2-2000000000−22-2200000000-22-220000−22−22−22−22−22−22−22−220000000000002−22−22−20000
χ512-2-22-12200-21-2-2-11-2223−33−3-1-12-11-211-2-1120003−33−33−303−32-22-22-2-1-111003−33−30002−2-113−3000000-11-113−33−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ230000000000002−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000
χ522-2-22-12200-21-2-2-11-2223−33−3-1-12-11-211-2-1120003−33−33−303−32-22-22-2-1-111003−33−3000−22-113−3000000-11-113−33−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23000000000000−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000
χ532-2-22-12200-21-2-2-11-2223−33−3-1-12-11-211-2-1120003−33−33−303−3-22-22-22-1-111003−33−30002−21-1−330000001-11-1−33−33ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23000000000000−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000
χ542-2-22-12200-21-2-2-11-2223−33−3-1-12-11-211-2-1120003−33−33−303−3-22-22-22-1-111003−33−3000−221-1−330000001-11-1−33−33−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ230000000000002−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000
χ552-2-22-12200-21-2-2-11-222−33−33-1-12-11-211-2-112000−33−33−330−332-22-22-2-1-11100−33−330002−2-11−33000000-11-11−33−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ70000000000002−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000
χ562-2-22-12200-21-2-2-11-222−33−33-1-12-11-211-2-112000−33−33−330−332-22-22-2-1-11100−33−33000−22-11−33000000-11-11−33−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7000000000000−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000
χ572-2-22-12200-21-2-2-11-222−33−33-1-12-11-211-2-112000−33−33−330−33-22-22-22-1-11100−33−330002−21-13−30000001-11-13−33−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7000000000000−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000
χ582-2-22-12200-21-2-2-11-222−33−33-1-12-11-211-2-112000−33−33−330−33-22-22-22-1-11100−33−33000−221-13−30000001-11-13−33−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ70000000000002−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000
χ5944444-24-4-4-24-24444-24-4-4-4-4-24-2-2-2-2-24-244-22-4-422-4-4-4-4222000000-2-2-2-22222220000000000000000000000000000000000000000000000000000000000000
χ6044444-2-244-24-2-244-2-2-24444-2-21-2-21-2-21-2-21-2-2-2-2-2-2-2-2-2-2-2-2000000111111111104400000000-2-2-2-2000000000000000000000000-2-211110000000000000000
χ6144444-2-244-24-2-244-2-2-24444-2-21-2-21-2-21-2-21-2-2-2-2-2-2-2-2-2-2-2-200000011111111110-4-400000000222200000000000000000000000022-1-1-1-10000000000000000
χ6244444-2-2-4-4-24-2-244-2-2-2-4-4-4-4-2-21-2-21-2-21-2-212222222222220000001111-1-1-1-1-1-100000000000−2i3−2i32i32i300000000000000000000000000i3i3−i3−i30000000000000000
χ6344444-2-2-4-4-24-2-244-2-2-2-4-4-4-4-2-21-2-21-2-21-2-212222222222220000001111-1-1-1-1-1-1000000000002i32i3−2i3−2i300000000000000000000000000−i3−i3i3i30000000000000000
χ644444-24-2444-24-2-2-2-24-2-2-2-2-2-21-2-2-2-2-21-211-24-2-2-2-211114-2-244-2-2-2-21111-2-2111140000-2-2-2-2-2-200001111111100000000000000000000000000000000000000
χ654444-24-2444-24-2-2-2-24-2-2-2-2-2-21-2-2-2-2-21-211-24-2-2-2-211114-2-2-4-422221111-2-21111-400002222220000-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ664444-24-2-4-44-24-2-2-2-24-22222-21-2-2-2-2-21-211-2-42222-1-1-1-1-42244-2-2-2-2111122-1-1-1-1-40000-2-2222200001111-1-1-1-100000000000000000000000000000000000000
χ674444-24-2-4-44-24-2-2-2-24-22222-21-2-2-2-2-21-211-2-42222-1-1-1-1-422-4-42222111122-1-1-1-14000022-2-2-2-20000-1-1-1-1111100000000000000000000000000000000000000
χ684444-2-2444-2-2-24-2-24-24-2-2-2-21-2-211-21-2-2-2-2-2-24411-2-2-2-2-2110000001111-2-2111100044000000000000000000-2-2-2-2-2-2-2-2111111110000000000000000000000
χ694444-2-2444-2-2-24-2-24-24-2-2-2-21-2-211-21-2-2-2-2-2-24411-2-2-2-2-2110000001111-2-21111000-4-400000000000000000022222222-1-1-1-1-1-1-1-10000000000000000000000
χ704444-2-24-4-4-2-2-24-2-24-2422221-2-211-21-2-2-2-2-22-4-4-1-122222-1-1000000111122-1-1-1-1000000000000000000000002323−23−230000−3−3−3−333330000000000000000000000
χ714444-2-24-4-4-2-2-24-2-24-2422221-2-211-21-2-2-2-2-22-4-4-1-122222-1-1000000111122-1-1-1-100000000000000000000000−23−23232300003333−3−3−3−30000000000000000000000
χ7244-4-44-24-4424-24-4-4-42-4-4-444-24-2222-24-2-4-422-4422-4-444-2-2-2000000-222-22-222-2-20000000000000000000000000000000000000000000000000000000000000
χ7344-4-44-2-24-424-2-2-4-422244-4-4-2-2122-1-2-2122-1-2-22-2-2-2-2222220000001-1-111-111-1-104i−4i00000000−2i2i−2i2i000000000000000000000000−2i2ii−ii−i0000000000000000
χ7444-4-44-2-24-424-2-2-4-422244-4-4-2-2122-1-2-2122-1-2-22-2-2-2-2222220000001-1-111-111-1-10−4i4i000000002i−2i2i−2i0000000000000000000000002i−2i−ii−ii0000000000000000
χ7544-4-44-2-2-4424-2-2-4-4222-4-444-2-2122-1-2-2122-122-22222-2-2-2-2-20000001-1-11-11-1-1110000000000023−23−232300000000000000000000000000−333−30000000000000000
χ7644-4-44-2-2-4424-2-2-4-4222-4-444-2-2122-1-2-2122-122-22222-2-2-2-2-20000001-1-11-11-1-11100000000000−232323−23000000000000000000000000003−3−330000000000000000
χ7744-4-4-2444-4-4-24422-4-4-4-2-222-2-2422-4-2-2422-444-4-2-2-2-222-422000000-222-24-4-2-2220000000000000000000000000000000000000000000000000000000000000
χ7844-4-4-244-44-4-24422-4-4-422-2-2-2-2422-4-2-2422-4-4-442222-2-24-2-2000000-222-2-4422-2-20000000000000000000000000000000000000000000000000000000000000
χ7944-4-4-24-24-4-4-24-2222-42-2-222-21-2222-21-2-1-124-22-2-211-1-1-422002323−23−231-1-11-2211-1-100000000023−230000−3−333−3−33300000000000000000000000000000000000000
χ8044-4-4-24-24-4-4-24-2222-42-2-222-21-2222-21-2-1-124-22-2-211-1-1-42200−23−2323231-1-11-2211-1-1000000000−2323000033−3−333−3−300000000000000000000000000000000000000
χ8144-4-4-24-2-44-4-24-2222-4222-2-2-21-2222-21-2-1-12-42-222-1-1114-2-2002323−23−231-1-112-2-1-111000000000−23230000−3−33333−3−300000000000000000000000000000000000000
χ8244-4-4-24-2-44-4-24-2222-4222-2-2-21-2222-21-2-1-12-42-222-1-1114-2-200−23−2323231-1-112-2-1-11100000000023−23000033−3−3−3−33300000000000000000000000000000000000000
χ8344-4-4-2-244-42-2-2422-42-4-2-2221-2-2-1-121-2-2222-24-411-2-2222-1-10000001-1-11-2211-1-10000000000000000000000000002323−23−23−3−333−3−3330000000000000000000000
χ8444-4-4-2-244-42-2-2422-42-4-2-2221-2-2-1-121-2-2222-24-411-2-2222-1-10000001-1-11-2211-1-1000000000000000000000000000−23−23232333−3−333−3−30000000000000000000000
χ8544-4-4-2-24-442-2-2422-42-422-2-21-2-2-1-121-2-22222-44-1-122-2-2-2110000001-1-112-2-1-111000000000000000000000000000000033-3-3-3-3330000000000000000000000
χ8644-4-4-2-24-442-2-2422-42-422-2-21-2-2-1-121-2-22222-44-1-122-2-2-2110000001-1-112-2-1-1110000000000000000000000000000000-3-33333-3-30000000000000000000000
χ874-44-4444004-4-4-4-444-4-40000444-444-4-4-4-44-40000000000000000004-44-40000000000000000000000000000000000000000000000000000000000000000000
χ884-44-444-2004-4-42-44-2-4200004-2-2-44-2-4222-220000000000000023−23−2323-22-2200000000000000000000023−23−2323000000000000000000000000000000000000000000
χ894-44-444-2004-4-42-44-2-4200004-2-2-44-2-4222-2200000000000000−232323−23-22-22000000000000000000000−232323−23000000000000000000000000000000000000000000
χ904-44-44-2400-2-42-4-4442-40000-24-22-2-22-42-442000000000000000000-22-220000000000000000000000000000000006−6−666−6−666−6−660000000000000000000000
χ914-44-44-2400-2-42-4-4442-40000-24-22-2-22-42-442000000000000000000-22-22000000000000000000000000000000000−666−6−666−6−666−60000000000000000000000
χ924-44-4-2440042-4-42-24-4-423−23−2323-2-242-2422-42-2-400023−2323−23−23230−2323000000-22-220023−23−23230000000000000000000000000000000000000000000000000000000000000
χ934-44-4-2440042-4-42-24-4-4−232323−23-2-242-2422-42-2-4000−2323−232323−23023−23000000-22-2200−232323−230000000000000000000000000000000000000000000000000000000000000
χ944-44-4-24-20042-422-2-2-4223−23−2323-21-22-2-22-12-11200023−23−333−30−23230023−23−23231-11-100−333−3000000000000000−333−33-3-3300000000000000000000000000000000000000
χ954-44-4-24-20042-422-2-2-4223−23−2323-21-22-2-22-12-11200023−23−333−30−232300−232323−231-11-100−333−30000000000000003−3−33-333-300000000000000000000000000000000000000
χ964-44-4-24-20042-422-2-2-42−232323−23-21-22-2-22-12-112000−23233−3−33023−230023−23−23231-11-1003−3−33000000000000000−333−3-333-300000000000000000000000000000000000000
χ974-44-4-24-20042-422-2-2-42−232323−23-21-22-2-22-12-112000−23233−3−33023−2300−232323−231-11-1003−3−330000000000000003−3−333-3-3300000000000000000000000000000000000000
χ984-44-4-2-2400-222-42-242-423−23−23231-2-2-11-2-1222-22000−3323−23−232303−30000001-11-100−333−30000000000000000000000000006−6−66−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ230000000000000000000000
χ994-44-4-2-2400-222-42-242-423−23−23231-2-2-11-2-1222-22000−3323−23−232303−30000001-11-100−333−3000000000000000000000000000−666−62ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ230000000000000000000000
χ1004-44-4-2-2400-222-42-242-4−232323−231-2-2-11-2-1222-220003−3−232323−230−330000001-11-1003−3−330000000000000000000000000006−6−66ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ230000000000000000000000
χ1014-44-4-2-2400-222-42-242-4−232323−231-2-2-11-2-1222-220003−3−232323−230−330000001-11-1003−3−33000000000000000000000000000−666−6−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ230000000000000000000000
χ1024-4-4444-200-4-4-424-424-200004-2-24-42-422-22-20000000000004-4-22-22-2-222000000000004-400000000-22-22000000000000000000000000000000000000000000
χ1034-4-4444-200-4-4-424-424-200004-2-24-42-422-22-2000000000000-442-22-2-2-22200000000000-44000000002-22-2000000000000000000000000000000000000000000
χ1044-4-444-24002-42-44-4-4-240000-24-2-2222-424-4-2000000000000000000-2-22200000000022−2200000000000000000022−2222−22−22−22−22−22−22−220000000000000000000000
χ1054-4-444-24002-42-44-4-4-240000-24-2-2222-424-4-2000000000000000000-2-222000000000−2222000000000000000000−2222−22222−22−22−22−22−22−20000000000000000000000
χ1064-4-44-24-200-42-42-2224-223−2323−23-21-2-2222-121-1-200023−23−33−33023−234-4-22-2211-1-100−33−3300000-2223−230000001-11-1−33−3300000000000000000000000000000000000000
χ1074-4-44-24-200-42-42-2224-223−2323−23-21-2-2222-121-1-200023−23−33−33023−23-442-22-211-1-100−33−33000002-2−2323000000-11-113−33−300000000000000000000000000000000000000
χ1084-4-44-24-200-42-42-2224-2−2323−2323-21-2-2222-121-1-2000−23233−33−30−23234-4-22-2211-1-1003−33−300000-22−23230000001-11-13−33−300000000000000000000000000000000000000
χ1094-4-44-24-200-42-42-2224-2−2323−2323-21-2-2222-121-1-2000−23233−33−30−2323-442-22-211-1-1003−33−3000002-223−23000000-11-11−33−3300000000000000000000000000000000000000
χ1104-4-44-2-2400222-4-22-4-2423−2323−231-2-21-12-122-22-2000−3323−2323−230−3300000011-1-100−33−3300022−220000000000000000002ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ230000000000000000000000
χ1114-4-44-2-2400222-4-22-4-2423−2323−231-2-21-12-122-22-2000−3323−2323−230−3300000011-1-100−33−33000−2222000000000000000000−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ232−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ230000000000000000000000
χ1124-4-44-2-2400222-4-22-4-24−2323−23231-2-21-12-122-22-20003−3−2323−232303−300000011-1-1003−33−300022−220000000000000000002ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ70000000000000000000000
χ1134-4-44-2-2400222-4-22-4-24−2323−23231-2-21-12-122-22-20003−3−2323−232303−300000011-1-1003−33−3000−2222000000000000000000−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ72−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ70000000000000000000000
χ1148888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222-4-4-4222222-422000000-1-1-1-122-1-1-1-10000000000000000000000000000000000000000000000000000000000000
χ1158888-4-4-4-8-8-4-4-4-4-4-4-4-4-44444222222222222444-2-2-2-2-2-24-2-2000000-1-1-1-1-2-211110000000000000000000000000000000000000000000000000000000000000
χ11688-8-8-4-4-48-84-4-4-444444-4-444222-2-2-2222-2-2-2-4-442222-2-24-2-2000000-111-12-2-1-1110000000000000000000000000000000000000000000000000000000000000
χ11788-8-8-4-4-4-884-4-4-44444444-4-4222-2-2-2222-2-2-244-4-2-2-2-222-422000000-111-1-2211-1-10000000000000000000000000000000000000000000000000000000000000
χ1188-88-88-4-400-4-844-88-4440000-4-424-4244-24-4-20000000000000000002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8-4-4-400-44444-4-44443−43−4343222-222-2-2-2-22-2000−2323−232323−23023−23000000-11-11003−3−330000000000000000000000000000000000000000000000000000000000000
χ1208-88-8-4-4-400-44444-4-444−434343−43222-222-2-2-2-22-200023−2323−23−23230−2323000000-11-1100−333−30000000000000000000000000000000000000000000000000000000000000
χ1218-8-888-4-4004-8448-84-4-40000-4-42-44-244-2-44200000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-4-4-4004444-444-4-443−4343−432222-2-2-2-2-22-22000−2323−2323−23230−2323000000-1-111003−33−30000000000000000000000000000000000000000000000000000000000000
χ1238-8-88-4-4-4004444-444-4-4−4343−43432222-2-2-2-2-22-2200023−2323−2323−23023−23000000-1-11100−33−330000000000000000000000000000000000000000000000000000000000000

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