Finite Group Databasebeta

← Group #13155845

Character table — Group #13155845

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222222224444444444444444444444446666668888888888121212121212121212121212121212121212121212121212121212121212121212121212121212242424242424363636363636363636363636727272216
order1222333446666666661212121233366666666612121212121212121212121222666636661212121212122246666666666881212121212121212242424242424242424242424242424246666662266668824242424412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1
χ61111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-11
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11
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
χ92222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-200-2220000222200-2-2-2-2-2-2-2-200000000000000000000000000000000000000
χ102222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2002-2-20000-2-2-2-2002222222200000000000000000000000000000000000000
χ11222222-1222222-1-12-1222222-1-122-1-1-1-12-1-1-1-1222-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-10022-1-1-1-1-1-1000000000000000022-1-1-1-122-1-1-1-10000000000
χ12222222-1222222-1-12-1222222-1-122-1-1-1-12-1-1-1-1222-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22221111-1-1-1-10022-1-1-1-1-1-10000000000000000-2-21111-2-211110000000000
χ13222222-1222222-1-12-1222222-1-122-1-1-1-12-1-1-1-1222-1-1-1-1222-2-21111-1-1-1-1-1-1-1-1-1-122-2-2-2-1-1-1-1111100-2-2111111000000000000000022-1-1-1-1-2-211110000000000
χ14222222-1222222-1-12-1222222-1-122-1-1-1-12-1-1-1-1222-1-1-1-1222-2-21111-1-1-1-1-1-1-1-1-1-1-2-2-2-2-21111111100-2-21111110000000000000000-2-2111122-1-1-1-10000000000
χ15222222-1-2-22222-1-12-12-2-2-2-22-1-122-1-1-1-12-1-111-2-2-21111-2-2-222-1-1-1-1-1-1-1-111111100-222−i3−i3i3i3-1-1-1-100-2-2111111000000000000000000−i3−i3i3i300−i3−i3i3i30000000000
χ16222222-1-2-22222-1-12-12-2-2-2-22-1-122-1-1-1-12-1-111-2-2-21111-2-2-222-1-1-1-1-1-1-1-111111100-222i3i3−i3−i3-1-1-1-100-2-2111111000000000000000000i3i3−i3−i300i3i3−i3−i30000000000
χ17222222-1-2-22222-1-12-12-2-2-2-22-1-122-1-1-1-12-1-111-2-2-21111-2-2-2-2-21111-1-1-1-1111111002-2-2−i3−i3i3i311110022-1-1-1-1-1-1000000000000000000−i3−i3i3i300i3i3−i3−i30000000000
χ18222222-1-2-22222-1-12-12-2-2-2-22-1-122-1-1-1-12-1-111-2-2-21111-2-2-2-2-21111-1-1-1-1111111002-2-2i3i3−i3−i311110022-1-1-1-1-1-1000000000000000000i3i3−i3−i300−i3−i3i3i30000000000
χ1922222-122222-1-12222-12222-12-1-1-122-1-1-1-1222-1-1-12222-1-1-1000000-1-1-1-1-1-1-1-1-1-1220002222000022000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002-1-10
χ2022222-122222-1-12222-12222-12-1-1-122-1-1-1-1222-1-1-12222-1-1-1000000-1-1-1-1-1-1-1-1-1-12200022220000-2-200000000-2-2-2-2111111111111-1-1-1-1-1-1000000000000-2110
χ2122222-122222-1-12222-12222-12-1-1-122-1-1-1-1222-1-1-12222-1-1-1000000-1-1-1-1-1-1-1-1-1-1-2-2000-2-2-2-2000022000000002222-1-1-1-1-1-1-1-1-1-1-1-1111111000000000000-2110
χ2222222-122222-1-12222-12222-12-1-1-122-1-1-1-1222-1-1-12222-1-1-1000000-1-1-1-1-1-1-1-1-1-1-2-2000-2-2-2-20000-2-200000000-2-2-2-21111111111111111110000000000002-1-10
χ232222-12222-1-12222-122-1-1-1-1-1-12-1-1-1-122-12-1222-1-1-1-1-1-12-1-1222222-1-1-1-122-1-1-1-1002-1-10000-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000022-1-1-1-10000
χ242222-12222-1-12222-122-1-1-1-1-1-12-1-1-1-122-12-1222-1-1-1-1-1-12-1-1222222-1-1-1-122-1-1-1-1002-1-10000-1-1-1-1-2-2-1-122-1-1-1-11111-2-2-2-211111111000000000000-2-211110000
χ252222-12222-1-12222-122-1-1-1-1-1-12-1-1-1-122-12-1222-1-1-1-1-1-12-1-1-2-2-2-2-2-2-1-1-1-122-1-1-1-100-211000011112211-2-21111-1-1-1-12222-1-1-1-1-1-1-1-1000000000000-2-211110000
χ262222-12222-1-12222-122-1-1-1-1-1-12-1-1-1-122-12-1222-1-1-1-1-1-12-1-1-2-2-2-2-2-2-1-1-1-122-1-1-1-100-21100001111-2-211-2-211111111-2-2-2-21111111100000000000022-1-1-1-10000
χ272222-122-2-2-1-12222-1221111-1-12-1-1-1-122-12-1-2-2-2111111-211222222-1-1-1-1-2-2111100-2-1-10000-1-1-1-10011-2-2111133−3−300003333−3−3−3−30000000000000033−3−30000
χ282222-122-2-2-1-12222-1221111-1-12-1-1-1-122-12-1-2-2-2111111-211222222-1-1-1-1-2-2111100-2-1-10000-1-1-1-10011-2-21111−3−3330000−3−3−3−3333300000000000000−3−3330000
χ292222-122-2-2-1-12222-1221111-1-12-1-1-1-122-12-1-2-2-2111111-211-2-2-2-2-2-2-1-1-1-1-2-21111002110000111100-1-122-1-1-1-133−3−300003333−3−3−3−300000000000000−3−3330000
χ302222-122-2-2-1-12222-1221111-1-12-1-1-1-122-12-1-2-2-2111111-211-2-2-2-2-2-2-1-1-1-1-2-21111002110000111100-1-122-1-1-1-1−3−3330000−3−3−3−333330000000000000033−3−30000
χ3122-2-2222002-22-22-2-2-2-200002222-22-22-2-2-2-20000000000002-222-2-222-2-20000000002-2000022-2-2−i2i200000000−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000−i2i2−i2i2−i2i20000
χ3222-2-2222002-22-22-2-2-2-200002222-22-22-2-2-2-20000000000002-222-2-222-2-20000000002-2000022-2-2i2−i200000000i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000i2−i2i2−i2i2−i20000
χ3322-2-2222002-22-22-2-2-2-200002222-22-22-2-2-2-2000000000000-22-2-22222-2-2000000000-220000-2-222−i2i200000000−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000i2−i2i2−i2i2−i20000
χ3422-2-2222002-22-22-2-2-2-200002222-22-22-2-2-2-2000000000000-22-2-22222-2-2000000000-220000-2-222i2−i200000000i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000−i2i2−i2i2−i2i20000
χ3522-2-2-12200-112-22-21-2-23−33−3-1-12-11-112-21-210003−333−3−303−32-222-2-2-1-1110033−3−3000-110000-1-111−i2i23−30033−3−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23000000000000−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000
χ3622-2-2-12200-112-22-21-2-23−33−3-1-12-11-112-21-210003−333−3−303−32-222-2-2-1-1110033−3−3000-110000-1-111i2−i23−30033−3−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23000000000000i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000
χ3722-2-2-12200-112-22-21-2-23−33−3-1-12-11-112-21-210003−333−3−303−3-22-2-222-1-1110033−3−30001-1000011-1-1−i2i2−3300−3−333ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23000000000000i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000
χ3822-2-2-12200-112-22-21-2-23−33−3-1-12-11-112-21-210003−333−3−303−3-22-2-222-1-1110033−3−30001-1000011-1-1i2−i2−3300−3−333−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23000000000000−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000
χ3922-2-2-12200-112-22-21-2-2−33−33-1-12-11-112-21-21000−33−3−3330−332-222-2-2-1-11100−3−333000-110000-1-111−i2i2−3300−3−333ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7000000000000−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000
χ4022-2-2-12200-112-22-21-2-2−33−33-1-12-11-112-21-21000−33−3−3330−332-222-2-2-1-11100−3−333000-110000-1-111i2−i2−3300−3−333−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7000000000000i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000
χ4122-2-2-12200-112-22-21-2-2−33−33-1-12-11-112-21-21000−33−3−3330−33-22-2-222-1-11100−3−3330001-1000011-1-1−i2i23−30033−3−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7000000000000i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000
χ4222-2-2-12200-112-22-21-2-2−33−33-1-12-11-112-21-21000−33−3−3330−33-22-2-222-1-11100−3−3330001-1000011-1-1i2−i23−30033−3−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7000000000000−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000
χ432-22-22222-2-2-2-2-2-2-222222-2-2222-2-2-2-2-2-22222-2-2-2-22-22-22220000002-2-222-22-22-22-20002-22-20000000000000000000000000000002-22-22-20000000000000000
χ442-22-22222-2-2-2-2-2-2-222222-2-2222-2-2-2-2-2-22222-2-2-2-22-22-22220000002-2-222-22-22-2-22000-22-22000000000000000000000000000000-22-22-220000000000000000
χ452-22-2222-22-2-2-2-2-2-2222-2-222222-2-2-2-2-2-2222-22222-22-22-2-2-20000002-2-22-22-22-220000000000000000000000000000000000000000000002-22-22-20000000000
χ462-22-2222-22-2-2-2-2-2-2222-2-222222-2-2-2-2-2-2222-22222-22-22-2-2-20000002-2-22-22-22-22000000000000000000000000000000000000000000000-22-22-220000000000
χ472-22-222-12-2-2-2-2-2112-1222-2-22-1-1-2-211112-1-1-11-2-2-2-11-1122200−i3i3−i3i3-111-1-11-11-112-2000-11-11−i3i3−i3i30000−i3i3−i3i3−i3i300000000000000002-2-11-1100−i3i3i3−i30000000000
χ482-22-222-12-2-2-2-2-2112-1222-2-22-1-1-2-211112-1-1-11-2-2-2-11-1122200−i3i3−i3i3-111-1-11-11-11-220001-11-1−i3i3−i3i30000−i3i3−i3i3−i3i30000000000000000-221-11-100i3−i3−i3i30000000000
χ492-22-222-12-2-2-2-2-2112-1222-2-22-1-1-2-211112-1-1-11-2-2-2-11-1122200i3−i3i3−i3-111-1-11-11-112-2000-11-11i3−i3i3−i30000i3−i3i3−i3i3−i300000000000000002-2-11-1100i3−i3−i3i30000000000
χ502-22-222-12-2-2-2-2-2112-1222-2-22-1-1-2-211112-1-1-11-2-2-2-11-1122200i3−i3i3−i3-111-1-11-11-11-220001-11-1i3−i3i3−i30000i3−i3i3−i3i3−i30000000000000000-221-11-100−i3i3i3−i30000000000
χ512-22-222-1-22-2-2-2-2112-12-2-2222-1-1-2-211112-1-11-12221-11-1-2-2-200−i3i3−i3i3-111-11-11-11-100000−i3i3i3−i3−i3i3−i3i30000i3−i3i3−i3i3−i3000000000000000000−i3i3i3−i32-2-11-110000000000
χ522-22-222-1-22-2-2-2-2112-12-2-2222-1-1-2-211112-1-11-12221-11-1-2-2-200−i3i3−i3i3-111-11-11-11-100000i3−i3−i3i3−i3i3−i3i30000i3−i3i3−i3i3−i3000000000000000000i3−i3−i3i3-221-11-10000000000
χ532-22-222-1-22-2-2-2-2112-12-2-2222-1-1-2-211112-1-11-12221-11-1-2-2-200i3−i3i3−i3-111-11-11-11-100000−i3i3i3−i3i3−i3i3−i30000−i3i3−i3i3−i3i3000000000000000000−i3i3i3−i3-221-11-10000000000
χ542-22-222-1-22-2-2-2-2112-12-2-2222-1-1-2-211112-1-11-12221-11-1-2-2-200i3−i3i3−i3-111-11-11-11-100000i3−i3−i3i3i3−i3i3−i30000−i3i3−i3i3−i3i3000000000000000000i3−i3−i3i32-2-11-110000000000
χ552-22-22-122-2-2-211-2-222-122-2-2-12-111-2-211-1-122-21112-22-2-1-1-1000000-111-1-11-11-112-20002-22-2000000000000000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3-11-11-110000000000000−i3i30
χ562-22-22-122-2-2-211-2-222-122-2-2-12-111-2-211-1-122-21112-22-2-1-1-1000000-111-1-11-11-112-20002-22-2000000000000000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3-11-11-110000000000000i3−i30
χ572-22-22-122-2-2-211-2-222-122-2-2-12-111-2-211-1-122-21112-22-2-1-1-1000000-111-1-11-11-11-22000-22-22000000000000000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i31-11-11-10000000000000i3−i30
χ582-22-22-122-2-2-211-2-222-122-2-2-12-111-2-211-1-122-21112-22-2-1-1-1000000-111-1-11-11-11-22000-22-22000000000000000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i31-11-11-10000000000000−i3i30
χ5944444-24-4-444-2-24444-2-4-4-4-4-24-2-2-244-2-2-2-24-4-4222-4-4-4-4222000000-2-2-2-22222220000000000000000000000000000000000000000000000000000000000000
χ6044444-2-24444-2-2-2-24-2-24444-2-21-2-2-2-211-21-2-2-2-2-2-2-2-2-2-2-2-2-2000000111111111144000-2-2-2-2000000000000000000000000000000-2-211110000000000000000
χ6144444-2-24444-2-2-2-24-2-24444-2-21-2-2-2-211-21-2-2-2-2-2-2-2-2-2-2-2-2-20000001111111111-4-4000222200000000000000000000000000000022-1-1-1-10000000000000000
χ6244444-2-2-4-444-2-2-2-24-2-2-4-4-4-4-2-21-2-2-2-211-21-22222222222220000001111-1-1-1-1-1-100000−2i3−2i32i32i300000000000000000000000000000000i3i3−i3−i30000000000000000
χ6344444-2-2-4-444-2-2-2-24-2-2-4-4-4-4-2-21-2-2-2-211-21-22222222222220000001111-1-1-1-1-1-1000002i32i3−2i3−2i300000000000000000000000000000000−i3−i3i3i30000000000000000
χ644444-24-244-2-244-2-2-2-24-2-2-2-2-21-2-2-211-2-2-2-21-2-24-2-211114-2-244-2-2-2-21111-2-21111004-2-20000111100-2-2-2-2111100000000000000000000000000000000000000
χ654444-24-244-2-244-2-2-2-24-2-2-2-2-21-2-2-211-2-2-2-21-2-24-2-211114-2-2-4-422221111-2-2111100-4220000-1-1-1-1002222-1-1-1-100000000000000000000000000000000000000
χ664444-24-2-4-4-2-244-2-2-2-242222-21-2-2-211-2-2-2-2122-422-1-1-1-1-42244-2-2-2-2111122-1-1-1-100-4-2-200001111002222-1-1-1-100000000000000000000000000000000000000
χ674444-24-2-4-4-2-244-2-2-2-242222-21-2-2-211-2-2-2-2122-422-1-1-1-1-422-4-42222111122-1-1-1-1004220000-1-1-1-100-2-2-2-2111100000000000000000000000000000000000000
χ684444-2-2444-2-2-2-244-24-2-2-2-2-21-2-211-2-2-2-21-2-244-211-2-2-2-2-2110000001111-2-2111100000000000004400000000-2-2-2-2-2-2-2-2111111110000000000000000000000
χ694444-2-2444-2-2-2-244-24-2-2-2-2-21-2-211-2-2-2-21-2-244-211-2-2-2-2-2110000001111-2-211110000000000000-4-40000000022222222-1-1-1-1-1-1-1-10000000000000000000000
χ704444-2-24-4-4-2-2-2-244-24-222221-2-211-2-2-2-21-2-2-4-42-1-122222-1-1000000111122-1-1-1-1000000000000000000000002323−23−230000−3−3−3−333330000000000000000000000
χ714444-2-24-4-4-2-2-2-244-24-222221-2-211-2-2-2-21-2-2-4-42-1-122222-1-1000000111122-1-1-1-100000000000000000000000−23−23232300003333−3−3−3−30000000000000000000000
χ7244-4-444-2004-44-4-22-42-400004-2-24-4-22-22-4220000000000004-4-2-222-2-2220000000004-40000-2-222000000000000000000000000000000000000000000000000
χ7344-4-444-2004-44-4-22-42-400004-2-24-4-22-22-422000000000000-4422-2-2-2-222000000000-44000022-2-2000000000000000000000000000000000000000000000000
χ7444-4-44-24004-4-224-4-4-420000-24-2-224-4-2222-4000000000000000000-2-2220000000000000000000−2i22i200000000−2i22i2−2i22i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000000000
χ7544-4-44-24004-4-224-4-4-420000-24-2-224-4-2222-4000000000000000000-2-22200000000000000000002i2−2i2000000002i2−2i22i2−2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000000000
χ7644-4-4-24-200-224-4-2222-423−2323−23-21-2-221-1-2222-100023−23−3−333023−234-4-2-22211-1-100−3−333000-22000011-1-10023−2300−3−33300000000000000000000000000000000000000
χ7744-4-4-24-200-224-4-2222-423−2323−23-21-2-221-1-2222-100023−23−3−333023−23-4422-2-211-1-100−3−3330002-20000-1-11100−23230033−3−300000000000000000000000000000000000000
χ7844-4-4-24-200-224-4-2222-4−2323−2323-21-2-221-1-2222-1000−232333−3−30−23234-4-2-22211-1-10033−3−3000-22000011-1-100−23230033−3−300000000000000000000000000000000000000
χ7944-4-4-24-200-224-4-2222-4−2323−2323-21-2-221-1-2222-1000−232333−3−30−2323-4422-2-211-1-10033−3−30002-20000-1-1110023−2300−3−33300000000000000000000000000000000000000
χ8044-4-4-2-2400-22-224-42-4223−2323−231-2-21-1-22-22-122000−332323−23−230−3300000011-1-100−3−3330000000000000−2i22i2000000002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000000000000000000
χ8144-4-4-2-2400-22-224-42-4223−2323−231-2-21-1-22-22-122000−332323−23−230−3300000011-1-100−3−33300000000000002i2−2i200000000−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000000000000000000
χ8244-4-4-2-2400-22-224-42-42−2323−23231-2-21-1-22-22-1220003−3−23−23232303−300000011-1-10033−3−30000000000000−2i22i2000000002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70000000000000000000000
χ8344-4-4-2-2400-22-224-42-42−2323−23231-2-21-1-22-22-1220003−3−23−23232303−300000011-1-10033−3−300000000000002i2−2i200000000−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70000000000000000000000
χ844-44-44-24-44-4-422-4-444-2-4-444-24-222-4-422-2-24-44-2-2-2-44-44222000000-222-22-22-22-20000000000000000000000000000000000000000000000000000000000000
χ854-44-44-2-24-4-4-422224-2-244-4-4-2-212222-1-1-21-2-22222-22-22-2-2-20000001-1-111-11-11-14-4000-22-22000000000000000000000000000000-221-11-10000000000000000
χ864-44-44-2-24-4-4-422224-2-244-4-4-2-212222-1-1-21-2-22222-22-22-2-2-20000001-1-111-11-11-1-440002-22-20000000000000000000000000000002-2-11-110000000000000000
χ874-44-44-2-2-44-4-422224-2-2-4-444-2-212222-1-1-21-22-2-2-2-22-22-22220000001-1-11-11-11-1100000−2i32i32i3−2i300000000000000000000000000000000i3−i3−i3i30000000000000000
χ884-44-44-2-2-44-4-422224-2-2-4-444-2-212222-1-1-21-22-2-2-2-22-22-22220000001-1-11-11-11-11000002i3−2i3−2i32i300000000000000000000000000000000−i3i3i3−i30000000000000000
χ894-44-4-2444-422-4-4-4-4-244-2-222-2-242222-4-4-24-24-4-422-22-224-2-2000000-222-24-4-22-220000000000000000000000000000000000000000000000000000000000000
χ904-44-4-244-4422-4-4-4-4-24422-2-2-2-242222-4-4-24-2-444-2-22-22-2-422000000-222-2-442-22-20000000000000000000000000000000000000000000000000000000000000
χ914-44-4-24-24-422-4-422-2-24-2-222-21-222-1-122-2-21-22-4221-11-14-2-200−2i32i3−2i32i31-1-11-221-11-1000000000i3−i3i3−i30000−2i32i3i3−i3i3−i300000000000000000000000000000000000000
χ924-44-4-24-24-422-4-422-2-24-2-222-21-222-1-122-2-21-22-4221-11-14-2-2002i3−2i32i3−2i31-1-11-221-11-1000000000−i3i3−i3i300002i3−2i3−i3i3−i3i300000000000000000000000000000000000000
χ934-44-4-24-2-4422-4-422-2-2422-2-2-21-222-1-122-2-212-24-2-2-11-11-42200−2i32i3−2i32i31-1-112-2-11-11000000000i3−i3i3−i300002i3−2i3−i3i3−i3i300000000000000000000000000000000000000
χ944-44-4-24-2-4422-4-422-2-2422-2-2-21-222-1-122-2-212-24-2-2-11-11-422002i3−2i32i3−2i31-1-112-2-11-11000000000−i3i3−i3i30000−2i32i3i3−i3i3−i300000000000000000000000000000000000000
χ954-44-4-2-244-42222-4-4-24-2-2-2221-2-2-1-122221-2-24-42-1-1-22-22-2110000001-1-11-221-11-1000000000000000000000000000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i30000000000000000000000
χ964-44-4-2-244-42222-4-4-24-2-2-2221-2-2-1-122221-2-24-42-1-1-22-22-2110000001-1-11-221-11-10000000000000000000000000002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i30000000000000000000000
χ974-44-4-2-24-442222-4-4-24-222-2-21-2-2-1-122221-2-2-44-2112-22-22-1-10000001-1-112-2-11-1100000000000000000000000000000003i−3i3i−3i−3i3i−3i3i0000000000000000000000
χ984-44-4-2-24-442222-4-4-24-222-2-21-2-2-1-122221-2-2-44-2112-22-22-1-10000001-1-112-2-11-110000000000000000000000000000000−3i3i−3i3i3i−3i3i−3i0000000000000000000000
χ994-4-4444400-44-44-44-4-4-40000444-44-44-44-4-4-40000000000000000004-44-40000000000000000000000000000000000000000000000000000000000000000000
χ1004-4-4444-200-44-442-2-42-400004-2-2-442-22-2-42200000000000000−2i32i32i3−2i3-22-22000000000000000−2i32i32i3−2i3000000000000000000000000000000000000000000000000
χ1014-4-4444-200-44-442-2-42-400004-2-2-442-22-2-422000000000000002i3−2i3−2i32i3-22-220000000000000002i3−2i3−2i32i3000000000000000000000000000000000000000000000000
χ1024-4-444-2400-442-2-44-4-420000-24-22-2-442-222-4000000000000000000-22-220000000000000000000000000000000006−6−666−6−666−6−660000000000000000000000
χ1034-4-444-2400-442-2-44-4-420000-24-22-2-442-222-4000000000000000000-22-22000000000000000000000000000000000−666−6−666−6−666−60000000000000000000000
χ1044-4-44-244002-2-44-442-4-423−23−2323-2-242-22-2-442-42000−232323−23−2323023−23000000-22-220023−23−23230000000000000000000000000000000000000000000000000000000000000
χ1054-4-44-244002-2-44-442-4-4−232323−23-2-242-22-2-442-4200023−23−232323−230−2323000000-22-2200−232323−230000000000000000000000000000000000000000000000000000000000000
χ1064-4-44-24-2002-2-442-222-423−23−2323-21-22-2-112-222-1000−2323−333−3023−2300−2i32i32i3−2i31-11-100−333−3000000000i3−i3−i3i3000000−3i3i3i−3i00000000000000000000000000000000000000
χ1074-4-44-24-2002-2-442-222-423−23−2323-21-22-2-112-222-1000−2323−333−3023−23002i3−2i3−2i32i31-11-100−333−3000000000−i3i3i3−i30000003i−3i−3i3i00000000000000000000000000000000000000
χ1084-4-44-24-2002-2-442-222-4−232323−23-21-22-2-112-222-100023−233−3−330−232300−2i32i32i3−2i31-11-1003−3−33000000000i3−i3−i3i30000003i−3i−3i3i00000000000000000000000000000000000000
χ1094-4-44-24-2002-2-442-222-4−232323−23-21-22-2-112-222-100023−233−3−330−2323002i3−2i3−2i32i31-11-1003−3−33000000000−i3i3i3−i3000000−3i3i3i−3i00000000000000000000000000000000000000
χ1104-4-44-2-24002-22-2-442-4223−23−23231-2-2-112-22-2-1220003−323−23−23230−330000001-11-100−333−30000000000000000000000000006−6−66ζ5−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
χ1114-4-44-2-24002-22-2-442-4223−23−23231-2-2-112-22-2-1220003−323−23−23230−330000001-11-100−333−3000000000000000000000000000−666−6−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
χ1124-4-44-2-24002-22-2-442-42−232323−231-2-2-112-22-2-122000−33−232323−2303−30000001-11-1003−3−330000000000000000000000000006−6−66−2ζ5+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
χ1134-4-44-2-24002-22-2-442-42−232323−231-2-2-112-22-2-122000−33−232323−2303−30000001-11-1003−3−33000000000000000000000000000−666−62ζ5−2ζ7+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
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
χ11688-8-88-4-4008-8-44-44-8440000-4-42-44-442-24-2400000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ11788-8-8-4-4-400-44-44-4444443−4343−432222-22-22-2-2-2-2000−2323−23−2323230−2323000000-1-1110033−3−30000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-4-4-400-44-44-44444−4343−43432222-22-22-2-2-2-200023−232323−23−23023−23000000-1-11100−3−3330000000000000000000000000000000000000000000000000000000000000
χ1198-88-8-4-4-48-8444444-4-4-4-4-444222-2-2-2-2-2-2222-444-2-22-22-2-422000000-111-12-2-11-110000000000000000000000000000000000000000000000000000000000000
χ1208-88-8-4-4-4-88444444-4-4-444-4-4222-2-2-2-2-2-22224-4-422-22-224-2-2000000-111-1-221-11-10000000000000000000000000000000000000000000000000000000000000
χ1218-8-888-4-400-884-44-4-8440000-4-424-44-4-224-240000000000000000002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-4-4-4004-44-44-444443−43−4343222-22-22-22-2-2-200023−23−232323−230−2323000000-11-11003−3−330000000000000000000000000000000000000000000000000000000000000
χ1238-8-88-4-4-4004-44-44-4444−434343−43222-22-22-22-2-2-2000−232323−23−2323023−23000000-11-1100−333−30000000000000000000000000000000000000000000000000000000000000

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