Finite Group Databasebeta

← Group #13156319

Character table — Group #13156319

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222222224444444444444444444444446666668888888888121212121212121212121212121212121212121212121212121212121212121212121212121212242424242424363636363636363636363636727272216
order1222333446666666661212121233366666666612121212121212121212121244121212123666121212121212444881212121212121212121212121212121212122424242424242424242424242424242412121212121244881212121224242424412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
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
χ61111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-11
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11
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
χ11222222-12222222-1-1-1222222-1-122-12-1-1-1-1-12-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022-1-1-1-12200-1-1-1-100000000
χ12222222-12222222-1-1-1222222-1-122-12-1-1-1-1-12-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2002222-1-11111-1-1-1-1-1-1-1-10000000000000000-2-21111-2-200111100000000
χ13222222-12222222-1-1-1222222-1-122-12-1-1-1-1-12-1-122-1-1-1-1222-2-21111-1-1-1-1-1-1-1-1-1-1-22200-2-2-2-211-1-1-1-111111111000000000000000022-1-1-1-1-2-200111100000000
χ14222222-12222222-1-1-1222222-1-122-12-1-1-1-1-12-1-122-1-1-1-1222-2-21111-1-1-1-1-1-1-1-1-1-1-2-2-200-2-2-2-2111111111111110000000000000000-2-211112200-1-1-1-100000000
χ15222222-1-2-222222-1-1-12-2-2-2-22-1-122-12-1-1-1-1-1-211-2-21111-2-2-222-1-1-1-1-1-1-1-1111111-2000022-2-211−i3−i3i3i3-1-1-1-11111000000000000000000−i3−i3i3i30000−i3−i3i3i300000000
χ16222222-1-2-222222-1-1-12-2-2-2-22-1-122-12-1-1-1-1-1-211-2-21111-2-2-222-1-1-1-1-1-1-1-1111111-2000022-2-211i3i3−i3−i3-1-1-1-11111000000000000000000i3i3−i3−i30000i3i3−i3−i300000000
χ17222222-1-2-222222-1-1-12-2-2-2-22-1-122-12-1-1-1-1-1-211-2-21111-2-2-2-2-21111-1-1-1-111111120000-2-222-1-1−i3−i3i3i31111-1-1-1-1000000000000000000−i3−i3i3i30000i3i3−i3−i300000000
χ18222222-1-2-222222-1-1-12-2-2-2-22-1-122-12-1-1-1-1-1-211-2-21111-2-2-2-2-21111-1-1-1-111111120000-2-222-1-1i3i3−i3−i31111-1-1-1-1000000000000000000i3i3−i3−i30000−i3−i3i3i300000000
χ1922222-122222-1-1-12222-1-1-1-1-12-1-1-12-12-1-1-12222-1-1-1-1-1-12-1-1222222-1-1-1-122-1-1-1-120022-1-1-1-1220000-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000220000-1-1-1-10000
χ2022222-122222-1-1-12222-1-1-1-1-12-1-1-12-12-1-1-12222-1-1-1-1-1-12-1-1222222-1-1-1-122-1-1-1-1200-2-2-1-1-1-1220000-1-1-1-1-1-1-1-11111-2-2-2-21111111100000000-2-2000011110000
χ2122222-122222-1-1-12222-1-1-1-1-12-1-1-12-12-1-1-12222-1-1-1-1-1-12-1-1-2-2-2-2-2-2-1-1-1-122-1-1-1-1-200221111-2-2000011111111-1-1-1-12222-1-1-1-1-1-1-1-100000000-2-2000011110000
χ2222222-122222-1-1-12222-1-1-1-1-12-1-1-12-12-1-1-12222-1-1-1-1-1-12-1-1-2-2-2-2-2-2-1-1-1-122-1-1-1-1-200-2-21111-2-20000111111111111-2-2-2-21111111100000000220000-1-1-1-10000
χ2322222-12-2-222-1-1-122221111-12-1-1-12-12-1-1-12-2-2-2111111-211222222-1-1-1-1-2-21111-20000-1-111-2-20000-1-1-1-1111133−3−300003333−3−3−3−30000000000000033−3−30000
χ2422222-12-2-222-1-1-122221111-12-1-1-12-12-1-1-12-2-2-2111111-211222222-1-1-1-1-2-21111-20000-1-111-2-20000-1-1-1-11111−3−3330000−3−3−3−3333300000000000000−3−3330000
χ2522222-12-2-222-1-1-122221111-12-1-1-12-12-1-1-12-2-2-2111111-211-2-2-2-2-2-2-1-1-1-1-2-211112000011-1-12200001111-1-1-1-133−3−300003333−3−3−3−300000000000000−3−3330000
χ2622222-12-2-222-1-1-122221111-12-1-1-12-12-1-1-12-2-2-2111111-211-2-2-2-2-2-2-1-1-1-1-2-211112000011-1-12200001111-1-1-1-1−3−3330000−3−3−3−333330000000000000033−3−30000
χ272222-12222-1-1222222-12222-1-12-1-1-1-1-1222-1-122-1-12222-1-1-1000000-1-1-1-1-1-1-1-1-1-1022220000002222000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002-1-10
χ282222-12222-1-1222222-12222-1-12-1-1-1-1-1222-1-122-1-12222-1-1-1000000-1-1-1-1-1-1-1-1-1-1022-2-2000000222200000000-2-2-2-2111111111111-1-1-1-1-1-1000000000000-2110
χ292222-12222-1-1222222-12222-1-12-1-1-1-1-1222-1-122-1-12222-1-1-1000000-1-1-1-1-1-1-1-1-1-10-2-222000000-2-2-2-2000000002222-1-1-1-1-1-1-1-1-1-1-1-1111111000000000000-2110
χ302222-12222-1-1222222-12222-1-12-1-1-1-1-1222-1-122-1-12222-1-1-1000000-1-1-1-1-1-1-1-1-1-10-2-2-2-2000000-2-2-2-200000000-2-2-2-21111111111111111110000000000002-1-10
χ3122-2-2222002-2-22-22-2-2-200002222-22-2-2-22-2-20000000000002-222-2-222-2-20000000002−22-20000000022-2-200002−22−222−2−222−2−222−2−2000000002−200002−22−20000
χ3222-2-2222002-2-22-22-2-2-200002222-22-2-2-22-2-20000000000002-222-2-222-2-2000000000−222-20000000022-2-20000−22−22−2−222−2−222−2−22200000000−220000−22−220000
χ3322-2-2222002-2-22-22-2-2-200002222-22-2-2-22-2-2000000000000-22-2-22222-2-20000000002−2-2200000000-2-22200002−22−222−2−222−2−222−2−200000000−220000−22−220000
χ3422-2-2222002-2-22-22-2-2-200002222-22-2-2-22-2-2000000000000-22-2-22222-2-2000000000−22-2200000000-2-2220000−22−22−2−222−2−222−2−222000000002−200002−22−20000
χ3522-2-22-12002-21-112-2-2-23−33−3-12-1-1121-21-11-20003−333−3−303−32-222-2-2-1-1110033−3−30002−2-113−3000000-1-11133−3−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23000000002−20000ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000
χ3622-2-22-12002-21-112-2-2-23−33−3-12-1-1121-21-11-20003−333−3−303−32-222-2-2-1-1110033−3−3000−22-113−3000000-1-11133−3−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ2300000000−220000−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000
χ3722-2-22-12002-21-112-2-2-23−33−3-12-1-1121-21-11-20003−333−3−303−3-22-2-222-1-1110033−3−30002−21-1−3300000011-1-1−3−333ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ2300000000−220000−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000
χ3822-2-22-12002-21-112-2-2-23−33−3-12-1-1121-21-11-20003−333−3−303−3-22-2-222-1-1110033−3−3000−221-1−3300000011-1-1−3−333−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23000000002−20000ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000
χ3922-2-22-12002-21-112-2-2-2−33−33-12-1-1121-21-11-2000−33−3−3330−332-222-2-2-1-11100−3−3330002−2-11−33000000-1-111−3−333ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ722−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7000000002−20000ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000
χ4022-2-22-12002-21-112-2-2-2−33−33-12-1-1121-21-11-2000−33−3−3330−332-222-2-2-1-11100−3−333000−22-11−33000000-1-111−3−333−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ700000000−220000−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000
χ4122-2-22-12002-21-112-2-2-2−33−33-12-1-1121-21-11-2000−33−3−3330−33-22-2-222-1-11100−3−3330002−21-13−300000011-1-133−3−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ722−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ700000000−220000−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000
χ4222-2-22-12002-21-112-2-2-2−33−33-12-1-1121-21-11-2000−33−3−3330−33-22-2-222-1-11100−3−333000−221-13−300000011-1-133−3−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7000000002−20000ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000
χ432-22-22222-2-222-2-2-2-22-222-2-2222-2-2-2222-2-2-222-2222-22-2-2-2-20000002-2-222-22-22-20000000000000000000000000000000000000000000002-2002-22-200000000
χ442-22-22222-2-222-2-2-2-22-222-2-2222-2-2-2222-2-2-222-2222-22-2-2-2-20000002-2-222-22-22-2000000000000000000000000000000000000000000000-2200-22-2200000000
χ452-22-2222-22-222-2-2-2-22-2-2-222222-2-2-2222-2-2-2-2-22-2-2-22-222220000002-2-22-22-22-2202i−2i000000002i−2i2i−2i0000000000000000000000002i−2i2i−2i2i−2i0000000000000000
χ462-22-2222-22-222-2-2-2-22-2-2-222222-2-2-2222-2-2-2-2-22-2-2-22-222220000002-2-22-22-22-220−2i2i00000000−2i2i−2i2i000000000000000000000000−2i2i−2i2i−2i2i0000000000000000
χ472-22-222-12-2-222-2-211-1-222-2-22-1-1-2-212-1-11112-1122-11-11-2-2-2003−33−3-111-1-11-11-110000000003−33−3−333−33−33−33−30000000000000000003−3−332-200-11-1100000000
χ482-22-222-12-2-222-2-211-1-222-2-22-1-1-2-212-1-11112-1122-11-11-2-2-2003−33−3-111-1-11-11-110000000003−3−333−33−33−33−33−3000000000000000000−333−3-22001-11-100000000
χ492-22-222-12-2-222-2-211-1-222-2-22-1-1-2-212-1-11112-1122-11-11-2-2-200−33−33-111-1-11-11-11000000000−333−3−33−33−33−33−330000000000000000003−3−33-22001-11-100000000
χ502-22-222-12-2-222-2-211-1-222-2-22-1-1-2-212-1-11112-1122-11-11-2-2-200−33−33-111-1-11-11-11000000000−33−333−3−33−33−33−33000000000000000000−333−32-200-11-1100000000
χ512-22-222-1-22-222-2-211-1-2-2-2222-1-1-2-212-1-1111-21-1-2-21-11-1222003−33−3-111-11-11-11-102i−2i000000−33−ii−ii3−33−3−33−3300000000000000002i−2i−ii−ii0000−i3i3i3−i300000000
χ522-22-222-1-22-222-2-211-1-2-2-2222-1-1-2-212-1-1111-21-1-2-21-11-1222003−33−3-111-11-11-11-10−2i2i000000−33i−ii−i3−33−3−33−330000000000000000−2i2ii−ii−i0000i3−i3−i3i300000000
χ532-22-222-1-22-222-2-211-1-2-2-2222-1-1-2-212-1-1111-21-1-2-21-11-122200−33−33-111-11-11-11-102i−2i0000003−3−ii−ii−33−333−33−300000000000000002i−2i−ii−ii0000i3−i3−i3i300000000
χ542-22-222-1-22-222-2-211-1-2-2-2222-1-1-2-212-1-1111-21-1-2-21-11-122200−33−33-111-11-11-11-10−2i2i0000003−3i−ii−i−33−333−33−30000000000000000−2i2ii−ii−i0000−i3i3i3−i300000000
χ552-22-2-122-221-12-2-2-2-221-2-222-1-12111-1-12-2-211-2211-22-22-1-1-1000000-111-11-11-11-102i−2i000000002i−2i2i−2i000000000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−ii−ii−ii00000000000003−30
χ562-22-2-122-221-12-2-2-2-221-2-222-1-12111-1-12-2-211-2211-22-22-1-1-1000000-111-11-11-11-102i−2i000000002i−2i2i−2i000000000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3−ii−ii−ii0000000000000−330
χ572-22-2-122-221-12-2-2-2-221-2-222-1-12111-1-12-2-211-2211-22-22-1-1-1000000-111-11-11-11-10−2i2i00000000−2i2i−2i2i000000000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3i−ii−ii−i0000000000000−330
χ582-22-2-122-221-12-2-2-2-221-2-222-1-12111-1-12-2-211-2211-22-22-1-1-1000000-111-11-11-11-10−2i2i00000000−2i2i−2i2i000000000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i−ii−ii−i00000000000003−30
χ5944444-2-24444-2-2-2-2-2-24-2-2-2-2-2-21-2-2-2-2-2111-24-2-2-2-211114-2-244-2-2-2-21111-2-2111140000-2-2-2-2-2-200001111111100000000000000000000000000000000000000
χ6044444-2-24444-2-2-2-2-2-24-2-2-2-2-2-21-2-2-2-2-2111-24-2-2-2-211114-2-2-4-422221111-2-21111-400002222220000-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ6144444-2-2-4-444-2-2-2-2-2-242222-2-21-2-2-2-2-2111-2-42222-1-1-1-1-42244-2-2-2-2111122-1-1-1-1-40000-2-2222200001111-1-1-1-100000000000000000000000000000000000000
χ6244444-2-2-4-444-2-2-2-2-2-242222-2-21-2-2-2-2-2111-2-42222-1-1-1-1-422-4-42222111122-1-1-1-14000022-2-2-2-20000-1-1-1-1111100000000000000000000000000000000000000
χ634444-244-4-4-2-2444444-2-4-4-4-4-2-24-2-2-2-2-2444-22-4-422-4-4-4-4222000000-2-2-2-22222220000000000000000000000000000000000000000000000000000000000000
χ644444-24-244-2-2444-2-2-2-24444-21-2-2-21-21-2-2-21-2-2-2-2-2-2-2-2-2-2-2-2000000111111111104400000000-2-2-2-2000000000000000000000000-2-211110000000000000000
χ654444-24-244-2-2444-2-2-2-24444-21-2-2-21-21-2-2-21-2-2-2-2-2-2-2-2-2-2-2-200000011111111110-4-400000000222200000000000000000000000022-1-1-1-10000000000000000
χ664444-24-2-4-4-2-2444-2-2-2-2-4-4-4-4-21-2-2-21-21-2-2-212222222222220000001111-1-1-1-1-1-100000000000−2i3−2i32i32i300000000000000000000000000i3i3−i3−i30000000000000000
χ674444-24-2-4-4-2-2444-2-2-2-2-4-4-4-4-21-2-2-21-21-2-2-212222222222220000001111-1-1-1-1-1-1000000000002i32i3−2i3−2i300000000000000000000000000−i3−i3i3i30000000000000000
χ684444-2-2444-2-2-2-2-2444-2-2-2-2-21-2-211-21-2-2-2-2-2-24411-2-2-2-2-2110000001111-2-2111100044000000000000000000-2-2-2-2-2-2-2-2111111110000000000000000000000
χ694444-2-2444-2-2-2-2-2444-2-2-2-2-21-2-211-21-2-2-2-2-2-24411-2-2-2-2-2110000001111-2-21111000-4-400000000000000000022222222-1-1-1-1-1-1-1-10000000000000000000000
χ704444-2-24-4-4-2-2-2-2-2444-222221-2-211-21-2-2-2-2-22-4-4-1-122222-1-1000000111122-1-1-1-1000000000000000000000002323−23−230000−3−3−3−333330000000000000000000000
χ714444-2-24-4-4-2-2-2-2-2444-222221-2-211-21-2-2-2-2-22-4-4-1-122222-1-1000000111122-1-1-1-100000000000000000000000−23−23232300003333−3−3−3−30000000000000000000000
χ7244-4-444-2004-4-44-4-222-400004-2-24-4-2-422-2220000000000004-4-2-222-2-222000000000004-400000000-2-222000000000000000000000000000000000000000000
χ7344-4-444-2004-4-44-4-222-400004-2-24-4-2-422-222000000000000-4422-2-2-2-22200000000000-440000000022-2-2000000000000000000000000000000000000000000
χ7444-4-44-2-2004-42-22-222-423−2323−23-2-21-22-222-11-1200023−23−3−333023−234-4-2-22211-1-100−3−33300000-2223−2300000011-1-1−3−33300000000000000000000000000000000000000
χ7544-4-44-2-2004-42-22-222-423−2323−23-2-21-22-222-11-1200023−23−3−333023−23-4422-2-211-1-100−3−333000002-2−2323000000-1-11133−3−300000000000000000000000000000000000000
χ7644-4-44-2-2004-42-22-222-4−2323−2323-2-21-22-222-11-12000−232333−3−30−23234-4-2-22211-1-10033−3−300000-22−232300000011-1-133−3−300000000000000000000000000000000000000
χ7744-4-44-2-2004-42-22-222-4−2323−2323-2-21-22-222-11-12000−232333−3−30−2323-4422-2-211-1-10033−3−3000002-223−23000000-1-111−3−33300000000000000000000000000000000000000
χ7844-4-4-24400-22-44-44-4-420000-2-24-22-222-44-42000000000000000000-2-22200000000022−2200000000000000000022−2222−22−2−222−2−222−2−2220000000000000000000000
χ7944-4-4-24400-22-44-44-4-420000-2-24-22-222-44-42000000000000000000-2-222000000000−2222000000000000000000−2222−222222−2−222−2−222−2−20000000000000000000000
χ8044-4-4-2-2400-222-224-4-4223−2323−231-2-21-1-2-122-222000−332323−23−230−3300000011-1-100−3−33300022−220000000000000000002ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230000000000000000000000
χ8144-4-4-2-2400-222-224-4-4223−2323−231-2-21-1-2-122-222000−332323−23−230−3300000011-1-100−3−333000−2222000000000000000000−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ230000000000000000000000
χ8244-4-4-2-2400-222-224-4-42−2323−23231-2-21-1-2-122-2220003−3−23−23232303−300000011-1-10033−3−300022−220000000000000000002ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70000000000000000000000
χ8344-4-4-2-2400-222-224-4-42−2323−23231-2-21-1-2-122-2220003−3−23−23232303−300000011-1-10033−3−3000−2222000000000000000000−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ722−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70000000000000000000000
χ844-44-44-244-4-44-222-4-44-4-2-222-24-222-4-24-222-444-4-2-2-22-22-422000000-222-24-4-22-220000000000000000000000000000000000000000000000000000000000000
χ854-44-44-24-44-44-222-4-44-422-2-2-24-222-4-24-222-4-4-44222-22-24-2-2000000-222-2-442-22-20000000000000000000000000000000000000000000000000000000000000
χ864-44-44-2-24-4-44-22222-2-4-2-222-2-21222-2-21-1-124-22-2-21-11-1-4220023−2323−231-1-11-221-11-100000000023−230000−33−33−33−3300000000000000000000000000000000000000
χ874-44-44-2-24-4-44-22222-2-4-2-222-2-21222-2-21-1-124-22-2-21-11-1-42200−2323−23231-1-11-221-11-1000000000−232300003−33−33−33−300000000000000000000000000000000000000
χ884-44-44-2-2-44-44-22222-2-422-2-2-2-21222-2-21-1-12-42-222-11-114-2-20023−2323−231-1-112-2-11-11000000000−23230000−33−333−33−300000000000000000000000000000000000000
χ894-44-44-2-2-44-44-22222-2-422-2-2-2-21222-2-21-1-12-42-222-11-114-2-200−2323−23231-1-112-2-11-1100000000023−2300003−33−3−33−3300000000000000000000000000000000000000
χ904-44-4-2444-42-24-4-4-4-44244-4-4-2-24222-2-24-4-42-24-4-2-24-44-4222000000-222-2-22-22-220000000000000000000000000000000000000000000000000000000000000
χ914-44-4-24-24-42-24-4-422-2244-4-4-21-222-1-21-222-1-2-22-2-2-22-222220000001-1-111-11-11-10000000000023−23−232300000000000000000000000000−333−30000000000000000
χ924-44-4-24-24-42-24-4-422-2244-4-4-21-222-1-21-222-1-2-22-2-2-22-222220000001-1-111-11-11-100000000000−232323−23000000000000000000000000003−3−330000000000000000
χ934-44-4-24-2-442-24-4-422-22-4-444-21-222-1-21-222-122-2222-22-2-2-2-20000001-1-11-11-11-1104i−4i00000000−2i2i−2i2i000000000000000000000000−2i2ii−ii−i0000000000000000
χ944-44-4-24-2-442-24-4-422-22-4-444-21-222-1-21-222-122-2222-22-2-2-2-20000001-1-11-11-11-110−4i4i000000002i−2i2i−2i0000000000000000000000002i−2i−ii−ii0000000000000000
χ954-44-4-2-244-42-2-222-4-442-2-2221-2-2-1-121-2-2222-24-411-22-222-1-10000001-1-11-221-11-100000000000000000000000000000003i−3i3i−3i−3i3i−3i3i0000000000000000000000
χ964-44-4-2-244-42-2-222-4-442-2-2221-2-2-1-121-2-2222-24-411-22-222-1-10000001-1-11-221-11-10000000000000000000000000000000−3i3i−3i3i3i−3i3i−3i0000000000000000000000
χ974-44-4-2-24-442-2-222-4-44222-2-21-2-2-1-121-2-22222-44-1-12-22-2-2110000001-1-112-2-11-11000000000000000000000000000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i30000000000000000000000
χ984-44-4-2-24-442-2-222-4-44222-2-21-2-2-1-121-2-22222-44-1-12-22-2-2110000001-1-112-2-11-110000000000000000000000000002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i30000000000000000000000
χ994-4-4444400-4-4-4-44-44-440000444-44-4-4-4-4-4440000000000000000004-44-40000000000000000000000000000000000000000000000000000000000000000000
χ1004-4-4444-200-4-4-4-442-22400004-2-2-442-4222-2-20000000000000023−23−2323-22-2200000000000000000000023−23−2323000000000000000000000000000000000000000000
χ1014-4-4444-200-4-4-4-442-22400004-2-2-442-4222-2-200000000000000−232323−23-22-22000000000000000000000−232323−23000000000000000000000000000000000000000000
χ1024-4-444-2400-4-422-2-44-4423−23−2323-24-22-2-42-422-2400023−2323−23−23230−2323000000-22-220023−23−23230000000000000000000000000000000000000000000000000000000000000
χ1034-4-444-2400-4-422-2-44-44−232323−23-24-22-2-42-422-24000−2323−232323−23023−23000000-22-2200−232323−230000000000000000000000000000000000000000000000000000000000000
χ1044-4-444-2-200-4-422-22-22423−23−2323-2-212-2222-1-11-200023−23−333−30−23230023−23−23231-11-100−333−3000000000000000−333−33-3-3300000000000000000000000000000000000000
χ1054-4-444-2-200-4-422-22-22423−23−2323-2-212-2222-1-11-200023−23−333−30−232300−232323−231-11-100−333−30000000000000003−3−33-333-300000000000000000000000000000000000000
χ1064-4-444-2-200-4-422-22-224−232323−23-2-212-2222-1-11-2000−23233−3−33023−230023−23−23231-11-1003−3−33000000000000000−333−3-333-300000000000000000000000000000000000000
χ1074-4-444-2-200-4-422-22-224−232323−23-2-212-2222-1-11-2000−23233−3−33023−2300−232323−231-11-1003−3−330000000000000003−3−333-3-3300000000000000000000000000000000000000
χ1084-4-44-2440022-4-44-44-4-20000-2-242-2222-4-44-2000000000000000000-22-22000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i6i6−i6−i6i60000000000000000000000
χ1094-4-44-2440022-4-44-44-4-20000-2-242-2222-4-44-2000000000000000000-22-22000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i6−i6i6i6−i60000000000000000000000
χ1104-4-44-2-24002222-2-44-4-223−23−23231-2-2-112-1222-2-2000−3323−23−232303−30000001-11-100−333−3000000000000000000000000000i6−i6−i6i6−2ζ5−2ζ7−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
χ1114-4-44-2-24002222-2-44-4-223−23−23231-2-2-112-1222-2-2000−3323−23−232303−30000001-11-100−333−3000000000000000000000000000−i6i6i6−i62ζ5+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
χ1124-4-44-2-24002222-2-44-4-2−232323−231-2-2-112-1222-2-20003−3−232323−230−330000001-11-1003−3−33000000000000000000000000000i6−i6−i6i6ζ5+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
χ1134-4-44-2-24002222-2-44-4-2−232323−231-2-2-112-1222-2-20003−3−232323−230−330000001-11-1003−3−33000000000000000000000000000−i6i6i6−i6−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
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
χ11688-8-8-48-400-44-88-8-44440000-42-4-4424-24-44-200000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ11788-8-8-4-4-400-444-44-444443−4343−432222-22-2-2-22-2-2000−2323−23−2323230−2323000000-1-1110033−3−30000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-4-4-400-444-44-4444−4343−43432222-22-2-2-22-2-200023−232323−23−23023−23000000-1-11100−3−3330000000000000000000000000000000000000000000000000000000000000
χ1198-88-8-4-4-48-84-4-44444-44-4-444222-2-2-2222-2-2-2-4-44222-22-24-2-2000000-111-12-2-11-110000000000000000000000000000000000000000000000000000000000000
χ1208-88-8-4-4-4-884-4-44444-4444-4-4222-2-2-2222-2-2-244-4-2-2-22-22-422000000-111-1-221-11-10000000000000000000000000000000000000000000000000000000000000
χ1218-8-88-48-40044-8-884-44-40000-42-44-4-24-244-420000000000000000002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-4-4-4004444-44-44-443−43−4343222-22-2-2-2-2-222000−2323−232323−23023−23000000-11-11003−3−330000000000000000000000000000000000000000000000000000000000000
χ1238-8-88-4-4-4004444-44-44-4−434343−43222-22-2-2-2-2-22200023−2323−23−23230−2323000000-11-1100−333−30000000000000000000000000000000000000000000000000000000000000

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