Finite Group Databasebeta

← Group #11865492

Character table — Group #11865492

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11112222222222222222444444444444444444444444444121212121212121212121212242424242424363636361111222222222222222244444444444444444444444444412121212121212121212121224242424242436363636
order1222334444666666121212123466612121212121212121212121212121212121212121212888824242424242424244412121212224422226644446666661212121264666121212121212121212121212121212121212121212128888242424242424242444121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-1111111111111-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-11111111-1-1111111111111-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-1
χ61111111-1-1111111111111-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-1111111111-1-1111111111111-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-111
χ71111111-1-1111111111111-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-1111111111-1-1111111111111-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-111
χ81111111-1-1111111111111-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-11111-1-11111111-1-1111111111111-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-11111-1-1
χ9222222-222-2222222-2-2-2-22-22222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000000000222222-222-2222222-2-2-2-22-22222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000000000
χ10222222-2-2-2-2222222-2-2-2-222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-222220000000000000000000000222222-2-2-2-2222222-2-2-2-222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-222220000000000000000000000
χ1122222-12222222-1-1-12222-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1000022222-12222222-1-1-12222-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-10000
χ1222222-12222222-1-1-12222-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-21111000022222-12222222-1-1-12222-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-211110000
χ1322222-12-2-22222-1-1-12222-1-2-1-1-1-2-211-2-211-1-1-1-1-1-1111111110000000000002-2-1-111000022222-12-2-22222-1-1-12222-1-2-1-1-1-2-211-2-211-1-1-1-1-1-1111111110000000000002-2-1-1110000
χ1422222-12-2-22222-1-1-12222-1-2-1-1-1-2-211-2-211-1-1-1-1-1-111111111000000000000-2211-1-1000022222-12-2-22222-1-1-12222-1-2-1-1-1-2-211-2-211-1-1-1-1-1-111111111000000000000-2211-1-10000
χ1522222-1-222-2222-1-1-1-2-2-2-2-1-2-1-1-122-1-1-2-211111111-1-1-1-1111100000000000000−i3i3−i3i3000022222-1-222-2222-1-1-1-2-2-2-2-1-2-1-1-122-1-1-2-211111111-1-1-1-1111100000000000000−i3i3−i3i30000
χ1622222-1-222-2222-1-1-1-2-2-2-2-1-2-1-1-122-1-1-2-211111111-1-1-1-1111100000000000000i3−i3i3−i3000022222-1-222-2222-1-1-1-2-2-2-2-1-2-1-1-122-1-1-2-211111111-1-1-1-1111100000000000000i3−i3i3−i30000
χ1722222-1-2-2-2-2222-1-1-1-2-2-2-2-12-1-1-1-2-21122-1-11111111111-1-1-1-100000000000000−i3i3i3−i3000022222-1-2-2-2-2222-1-1-1-2-2-2-2-12-1-1-1-2-21122-1-11111111111-1-1-1-100000000000000−i3i3i3−i30000
χ1822222-1-2-2-2-2222-1-1-1-2-2-2-2-12-1-1-1-2-21122-1-11111111111-1-1-1-100000000000000i3−i3−i3i3000022222-1-2-2-2-2222-1-1-1-2-2-2-2-12-1-1-1-2-21122-1-11111111111-1-1-1-100000000000000i3−i3−i3i30000
χ192222-122222-1-1-1222-1-1-1-1-12-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000002222-122222-1-1-1222-1-1-1-1-12-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000
χ202222-122222-1-1-1222-1-1-1-1-12-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000002222-122222-1-1-1222-1-1-1-1-12-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000
χ212222-122-2-22-1-1-1222-1-1-1-1-1-2-1-1-111-2-211-2-222-1-1-1-11111111122-2-2-1-1-1-1111100000000002222-122-2-22-1-1-1222-1-1-1-1-1-2-1-1-111-2-211-2-222-1-1-1-11111111122-2-2-1-1-1-111110000000000
χ222222-122-2-22-1-1-1222-1-1-1-1-1-2-1-1-111-2-211-2-222-1-1-1-111111111-2-2221111-1-1-1-100000000002222-122-2-22-1-1-1222-1-1-1-1-1-2-1-1-111-2-211-2-222-1-1-1-111111111-2-2221111-1-1-1-10000000000
χ232222-12-222-2-1-1-12221111-1-2-1-1-1-1-12211-2-2-2-21111-1-1-1-11111000033−3−333−3−300000000002222-12-222-2-1-1-12221111-1-2-1-1-1-1-12211-2-2-2-21111-1-1-1-11111000033−3−333−3−30000000000
χ242222-12-222-2-1-1-12221111-1-2-1-1-1-1-12211-2-2-2-21111-1-1-1-111110000−3−333−3−33300000000002222-12-222-2-1-1-12221111-1-2-1-1-1-1-12211-2-2-2-21111-1-1-1-111110000−3−333−3−3330000000000
χ252222-12-2-2-2-2-1-1-12221111-12-1-1-111-2-2-1-122-2-211111111-1-1-1-1000033−3−3−3−33300000000002222-12-2-2-2-2-1-1-12221111-12-1-1-111-2-2-1-122-2-211111111-1-1-1-1000033−3−3−3−3330000000000
χ262222-12-2-2-2-2-1-1-12221111-12-1-1-111-2-2-1-122-2-211111111-1-1-1-10000−3−33333−3−300000000002222-12-2-2-2-2-1-1-12221111-12-1-1-111-2-2-1-122-2-211111111-1-1-1-10000−3−33333−3−30000000000
χ272-22-222200-22-2-2-2-2222-2-2202-2-2000000002-222-2-200000000000000000000000000002i−2i2-22-222200-22-2-2-2-2222-2-2202-2-2000000002-222-2-200000000000000000000000000002i−2i
χ282-22-222200-22-2-2-2-2222-2-2202-2-2000000002-222-2-20000000000000000000000000000−2i2i2-22-222200-22-2-2-2-2222-2-2202-2-2000000002-222-2-20000000000000000000000000000−2i2i
χ292-22-222-20022-2-2-2-22-2-222202-2-200000000-22-2-222000000000000000000000000002-2002-22-222-20022-2-2-2-22-2-222202-2-200000000-22-2-222000000000000000000000000002-200
χ302-22-222-20022-2-2-2-22-2-222202-2-200000000-22-2-22200000000000000000000000000-22002-22-222-20022-2-2-2-22-2-222202-2-200000000-22-2-22200000000000000000000000000-2200
χ312-2-222202-20-22-22-2-2000020-22-22-22-2000000000022-2-20000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000002-2-222202-20-22-22-2-2000020-22-22-22-2000000000022-2-20000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000
χ322-2-222202-20-22-22-2-2000020-22-22-22-2000000000022-2-20000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000002-2-222202-20-22-22-2-2000020-22-22-22-2000000000022-2-20000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000
χ332-2-22220-220-22-22-2-2000020-22-2-22-220000000000-2-2220000−i2i2i2−i2−i2i2−i2i2i2−i2i2−i200000000002-2-22220-220-22-22-2-2000020-22-2-22-220000000000-2-2220000−i2i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000
χ342-2-22220-220-22-22-2-2000020-22-2-22-220000000000-2-2220000i2−i2−i2i2i2−i2i2−i2−i2i2−i2i200000000002-2-22220-220-22-22-2-2000020-22-2-22-220000000000-2-2220000i2−i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000
χ352-2-22-1202-201-112-2-23−33−3-101-11-112-23−300003−33−3-1-11133−3−3−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000002-2-22-1202-201-112-2-23−33−3-101-11-112-23−300003−33−3-1-11133−3−3−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000
χ362-2-22-1202-201-112-2-23−33−3-101-11-112-23−300003−33−3-1-11133−3−3i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000002-2-22-1202-201-112-2-23−33−3-101-11-112-23−300003−33−3-1-11133−3−3i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000
χ372-2-22-1202-201-112-2-2−33−33-101-11-112-2−330000−33−33-1-111−3−333−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000002-2-22-1202-201-112-2-2−33−33-101-11-112-2−330000−33−33-1-111−3−333−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000
χ382-2-22-1202-201-112-2-2−33−33-101-11-112-2−330000−33−33-1-111−3−333i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000002-2-22-1202-201-112-2-2−33−33-101-11-112-2−330000−33−33-1-111−3−333i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000
χ392-2-22-120-2201-112-2-23−33−3-101-111-1-22−3300003−33−311-1-1−3−333−i2i2i2−i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000002-2-22-120-2201-112-2-23−33−3-101-111-1-22−3300003−33−311-1-1−3−333−i2i2i2−i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000
χ402-2-22-120-2201-112-2-23−33−3-101-111-1-22−3300003−33−311-1-1−3−333i2−i2−i2i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000002-2-22-120-2201-112-2-23−33−3-101-111-1-22−3300003−33−311-1-1−3−333i2−i2−i2i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000
χ412-2-22-120-2201-112-2-2−33−33-101-111-1-223−30000−33−3311-1-133−3−3−i2i2i2−i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000002-2-22-120-2201-112-2-2−33−33-101-111-1-223−30000−33−3311-1-133−3−3−i2i2i2−i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000
χ422-2-22-120-2201-112-2-2−33−33-101-111-1-223−30000−33−3311-1-133−3−3i2−i2−i2i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000002-2-22-120-2201-112-2-2−33−33-101-111-1-223−30000−33−3311-1-133−3−3i2−i2−i2i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000
χ434444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-211111111111100000000000000000000004444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000
χ444444-2-24-4-44-2-2-2-2-2-2-2-2-2-21-411122222222-2-21111-1-1-1-1-1-1-1-100000000000000000000004444-2-24-4-44-2-2-2-2-2-2-2-2-2-21-411122222222-2-21111-1-1-1-1-1-1-1-10000000000000000000000
χ454444-2-2-444-4-2-2-2-2-2-222221-4111-2-2-2-2222222-1-1-1-11111-1-1-1-100000000000000000000004444-2-2-444-4-2-2-2-2-2-222221-4111-2-2-2-2222222-1-1-1-11111-1-1-1-10000000000000000000000
χ464444-2-2-4-4-4-4-2-2-2-2-2-22222141112222-2-2-2-222-1-1-1-1-1-1-1-1111100000000000000000000004444-2-2-4-4-4-4-2-2-2-2-2-22222141112222-2-2-2-222-1-1-1-1-1-1-1-111110000000000000000000000
χ4744-4-4440000-4-44-44-4000040-4-440000000000000000000000000000000000000000000044-4-4440000-4-44-44-4000040-4-4400000000000000000000000000000000000000000000
χ4844-4-44-20000-4-442-220000-2022-2000000−2i32i30000000000−2i32i3−2i32i3000000000000000000000044-4-44-20000-4-442-220000-2022-2000000−2i32i30000000000−2i32i3−2i32i30000000000000000000000
χ4944-4-44-20000-4-442-220000-2022-20000002i3−2i300000000002i3−2i32i3−2i3000000000000000000000044-4-44-20000-4-442-220000-2022-20000002i3−2i300000000002i3−2i32i3−2i30000000000000000000000
χ5044-4-4-24000022-2-44-423−23−2323-2022-2000000000023−23−232300000000000000000000000000000044-4-4-24000022-2-44-423−23−2323-2022-2000000000023−23−2323000000000000000000000000000000
χ5144-4-4-24000022-2-44-4−232323−23-2022-20000000000−232323−2300000000000000000000000000000044-4-4-24000022-2-44-4−232323−23-2022-20000000000−232323−23000000000000000000000000000000
χ5244-4-4-2-2000022-22-2223−23−232310-1-11000000−2i32i300−333−33i−3i3i−3ii3−i3i3−i3000000000000000000000044-4-4-2-2000022-22-2223−23−232310-1-11000000−2i32i300−333−33i−3i3i−3ii3−i3i3−i30000000000000000000000
χ5344-4-4-2-2000022-22-2223−23−232310-1-110000002i3−2i300−333−3−3i3i−3i3i−i3i3−i3i3000000000000000000000044-4-4-2-2000022-22-2223−23−232310-1-110000002i3−2i300−333−3−3i3i−3i3i−i3i3−i3i30000000000000000000000
χ5444-4-4-2-2000022-22-22−232323−2310-1-11000000−2i32i3003−3−33−3i3i−3i3ii3−i3i3−i3000000000000000000000044-4-4-2-2000022-22-22−232323−2310-1-11000000−2i32i3003−3−33−3i3i−3i3ii3−i3i3−i30000000000000000000000
χ5544-4-4-2-2000022-22-22−232323−2310-1-110000002i3−2i3003−3−333i−3i3i−3i−i3i3−i3i3000000000000000000000044-4-4-2-2000022-22-22−232323−2310-1-110000002i3−2i3003−3−333i−3i3i−3i−i3i3−i3i30000000000000000000000
χ564-44-44-2400-44-4-422-244-4-4-20-22200000000-22-2-2220000000000000000000000000000004-44-44-2400-44-4-422-244-4-4-20-22200000000-22-2-222000000000000000000000000000000
χ574-44-44-2-40044-4-422-2-4-444-20-222000000002-222-2-20000000000000000000000000000004-44-44-2-40044-4-422-2-4-444-20-222000000002-222-2-2000000000000000000000000000000
χ584-44-4-24400-4-222-4-44-2-222-20-222000000004-4-2-2220000000000000000000000000000004-44-4-24400-4-222-4-44-2-222-20-222000000004-4-2-222000000000000000000000000000000
χ594-44-4-24-4004-222-4-4422-2-2-20-22200000000-4422-2-20000000000000000000000000000004-44-4-24-4004-222-4-4422-2-2-20-22200000000-4422-2-2000000000000000000000000000000
χ604-44-4-2-2400-4-22222-2-2-222101-1-100000000-2211-1-13i−3i−3i3i3i−3i−3i3i00000000000000000000004-44-4-2-2400-4-22222-2-2-222101-1-100000000-2211-1-13i−3i−3i3i3i−3i−3i3i0000000000000000000000
χ614-44-4-2-2400-4-22222-2-2-222101-1-100000000-2211-1-1−3i3i3i−3i−3i3i3i−3i00000000000000000000004-44-4-2-2400-4-22222-2-2-222101-1-100000000-2211-1-1−3i3i3i−3i−3i3i3i−3i0000000000000000000000
χ624-44-4-2-2-4004-22222-222-2-2101-1-1000000002-2-1-1113i−3i−3i3i−3i3i3i−3i00000000000000000000004-44-4-2-2-4004-22222-222-2-2101-1-1000000002-2-1-1113i−3i−3i3i−3i3i3i−3i0000000000000000000000
χ634-44-4-2-2-4004-22222-222-2-2101-1-1000000002-2-1-111−3i3i3i−3i3i−3i−3i3i00000000000000000000004-44-4-2-2-4004-22222-222-2-2101-1-1000000002-2-1-111−3i3i3i−3i3i−3i−3i3i0000000000000000000000
χ644-4-444-204-40-44-4-2220000-202-224-4-220000000000-2-222000000000000000000000000004-4-444-204-40-44-4-2220000-202-224-4-220000000000-2-22200000000000000000000000000
χ654-4-444-20-440-44-4-2220000-202-22-442-2000000000022-2-2000000000000000000000000004-4-444-20-440-44-4-2220000-202-22-442-2000000000022-2-200000000000000000000000000
χ664-4-44-2-204-402-22-22223−2323−2310-11-1-22-2223−230000−33−3311-1-1−3−33300000000000000000000004-4-44-2-204-402-22-22223−2323−2310-11-1-22-2223−230000−33−3311-1-1−3−3330000000000000000000000
χ674-4-44-2-204-402-22-222−2323−232310-11-1-22-22−232300003−33−311-1-133−3−300000000000000000000004-4-44-2-204-402-22-222−2323−232310-11-1-22-22−232300003−33−311-1-133−3−30000000000000000000000
χ684-4-44-2-20-4402-22-22223−2323−2310-11-12-22-2−23230000−33−33-1-11133−3−300000000000000000000004-4-44-2-20-4402-22-22223−2323−2310-11-12-22-2−23230000−33−33-1-11133−3−30000000000000000000000
χ694-4-44-2-20-4402-22-222−2323−232310-11-12-22-223−2300003−33−3-1-111−3−33300000000000000000000004-4-44-2-20-4402-22-222−2323−232310-11-12-22-223−2300003−33−3-1-111−3−3330000000000000000000000
χ70111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ7111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ7211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111
χ7311111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1
χ741111111-1-1111111111111-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111111111-1-1-1-1-1-111111111-1-111-1-1-1-11111-11-1-111-1-111
χ751111111-1-1111111111111-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111111111-1-1-1-1-1-111111111-1-111-1-1-1-111111-111-1-111-1-1
χ761111111-1-1111111111111-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111111111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-11-1-11111-1-1
χ771111111-1-1111111111111-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111111111-1-1-1-1-1-11111111111-1-11111-1-1-1-11-111-1-1-1-111
χ78222222-222-2222222-2-2-2-22-22222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000000000-2-2-2-2-2-22-2-22-2-2-2-2-2-22222-22-2-2-2-2-2-2-22222222222-2-2-2-222220000000000000000000000
χ79222222-2-2-2-2222222-2-2-2-222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-222220000000000000000000000-2-2-2-2-2-22222-2-2-2-2-2-22222-2-2-2-2-22222-2-2-2-22222222222-2-2-2-20000000000000000000000
χ8022222-12222222-1-1-12222-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-10000-2-2-2-2-21-2-2-2-2-2-2-2111-2-2-2-21-2111-2-211-2-21111111111111111000000000000-2-211110000
χ8122222-12222222-1-1-12222-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-211110000-2-2-2-2-21-2-2-2-2-2-2-2111-2-2-2-21-2111-2-211-2-2111111111111111100000000000022-1-1-1-10000
χ8222222-12-2-22222-1-1-12222-1-2-1-1-1-2-211-2-211-1-1-1-1-1-1111111110000000000002-2-1-1110000-2-2-2-2-21-222-2-2-2-2111-2-2-2-21211122-1-122-1-1111111-1-1-1-1-1-1-1-1000000000000-2211-1-10000
χ8322222-12-2-22222-1-1-12222-1-2-1-1-1-2-211-2-211-1-1-1-1-1-111111111000000000000-2211-1-10000-2-2-2-2-21-222-2-2-2-2111-2-2-2-21211122-1-122-1-1111111-1-1-1-1-1-1-1-10000000000002-2-1-1110000
χ8422222-1-222-2222-1-1-1-2-2-2-2-1-2-1-1-122-1-1-2-211111111-1-1-1-1111100000000000000−i3i3−i3i30000-2-2-2-2-212-2-22-2-2-2111222212111-2-21122-1-1-1-1-1-1-1-11111-1-1-1-100000000000000i3−i3i3−i30000
χ8522222-1-222-2222-1-1-1-2-2-2-2-1-2-1-1-122-1-1-2-211111111-1-1-1-1111100000000000000i3−i3i3−i30000-2-2-2-2-212-2-22-2-2-2111222212111-2-21122-1-1-1-1-1-1-1-11111-1-1-1-100000000000000−i3i3−i3i30000
χ8622222-1-2-2-2-2222-1-1-1-2-2-2-2-12-1-1-1-2-21122-1-11111111111-1-1-1-100000000000000−i3i3i3−i30000-2-2-2-2-212222-2-2-211122221-211122-1-1-2-211-1-1-1-1-1-1-1-1-1-1111100000000000000i3−i3−i3i30000
χ8722222-1-2-2-2-2222-1-1-1-2-2-2-2-12-1-1-1-2-21122-1-11111111111-1-1-1-100000000000000i3−i3−i3i30000-2-2-2-2-212222-2-2-211122221-211122-1-1-2-211-1-1-1-1-1-1-1-1-1-1111100000000000000−i3i3i3−i30000
χ882222-122222-1-1-1222-1-1-1-1-12-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000-2-2-2-21-2-2-2-2-2111-2-2-211111-211111-2-211-2-2-2-2111111111111-2-2-2-2111111110000000000
χ892222-122222-1-1-1222-1-1-1-1-12-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000-2-2-2-21-2-2-2-2-2111-2-2-211111-211111-2-211-2-2-2-21111111111112222-1-1-1-1-1-1-1-10000000000
χ902222-122-2-22-1-1-1222-1-1-1-1-1-2-1-1-111-2-211-2-222-1-1-1-11111111122-2-2-1-1-1-111110000000000-2-2-2-21-2-222-2111-2-2-2111112111-1-122-1-122-2-21111-1-1-1-1-1-1-1-1-2-2221111-1-1-1-10000000000
χ912222-122-2-22-1-1-1222-1-1-1-1-1-2-1-1-111-2-211-2-222-1-1-1-111111111-2-2221111-1-1-1-10000000000-2-2-2-21-2-222-2111-2-2-2111112111-1-122-1-122-2-21111-1-1-1-1-1-1-1-122-2-2-1-1-1-111110000000000
χ922222-12-222-2-1-1-12221111-1-2-1-1-1-1-12211-2-2-2-21111-1-1-1-11111000033−3−333−3−30000000000-2-2-2-21-22-2-22111-2-2-2-1-1-1-11211111-2-2-1-12222-1-1-1-11111-1-1-1-10000−3−333−3−3330000000000
χ932222-12-222-2-1-1-12221111-1-2-1-1-1-1-12211-2-2-2-21111-1-1-1-111110000−3−333−3−3330000000000-2-2-2-21-22-2-22111-2-2-2-1-1-1-11211111-2-2-1-12222-1-1-1-11111-1-1-1-1000033−3−333−3−30000000000
χ942222-12-2-2-2-2-1-1-12221111-12-1-1-111-2-2-1-122-2-211111111-1-1-1-1000033−3−3−3−3330000000000-2-2-2-21-22222111-2-2-2-1-1-1-11-2111-1-12211-2-222-1-1-1-1-1-1-1-111110000−3−33333−3−30000000000
χ952222-12-2-2-2-2-1-1-12221111-12-1-1-111-2-2-1-122-2-211111111-1-1-1-10000−3−33333−3−30000000000-2-2-2-21-22222111-2-2-2-1-1-1-11-2111-1-12211-2-222-1-1-1-1-1-1-1-11111000033−3−3−3−3330000000000
χ962-22-222200-22-2-2-2-2222-2-2202-2-2000000002-222-2-200000000000000000000000000002i−2i-22-22-2-2-2002-22222-2-2-222-20-22200000000-22-2-2220000000000000000000000000000−2i2i
χ972-22-222200-22-2-2-2-2222-2-2202-2-2000000002-222-2-20000000000000000000000000000−2i2i-22-22-2-2-2002-22222-2-2-222-20-22200000000-22-2-22200000000000000000000000000002i−2i
χ982-22-222-20022-2-2-2-22-2-222202-2-200000000-22-2-222000000000000000000000000002-200-22-22-2-2200-2-22222-222-2-2-20-222000000002-222-2-200000000000000000000000000-2200
χ992-22-222-20022-2-2-2-22-2-222202-2-200000000-22-2-22200000000000000000000000000-2200-22-22-2-2200-2-22222-222-2-2-20-222000000002-222-2-2000000000000000000000000002-200
χ1002-2-222202-20-22-22-2-2000020-22-22-22-2000000000022-2-20000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000-222-2-2-20-2202-22-2220000-202-22-22-220000000000-2-2220000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000
χ1012-2-222202-20-22-22-2-2000020-22-22-22-2000000000022-2-20000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000-222-2-2-20-2202-22-2220000-202-22-22-220000000000-2-2220000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000
χ1022-2-22220-220-22-22-2-2000020-22-2-22-220000000000-2-2220000−i2i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000-222-2-2-202-202-22-2220000-202-222-22-2000000000022-2-20000i2−i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000
χ1032-2-22220-220-22-22-2-2000020-22-2-22-220000000000-2-2220000i2−i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000-222-2-2-202-202-22-2220000-202-222-22-2000000000022-2-20000−i2i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000
χ1042-2-22-1202-201-112-2-23−33−3-101-11-112-23−300003−33−3-1-11133−3−3−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000-222-21-20-220-11-1-222−33−3310-11-11-1-22−330000−33−3311-1-1−3−333i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000
χ1052-2-22-1202-201-112-2-23−33−3-101-11-112-23−300003−33−3-1-11133−3−3i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000-222-21-20-220-11-1-222−33−3310-11-11-1-22−330000−33−3311-1-1−3−333−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000
χ1062-2-22-1202-201-112-2-2−33−33-101-11-112-2−330000−33−33-1-111−3−333−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000-222-21-20-220-11-1-2223−33−310-11-11-1-223−300003−33−311-1-133−3−3i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000
χ1072-2-22-1202-201-112-2-2−33−33-101-11-112-2−330000−33−33-1-111−3−333i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000-222-21-20-220-11-1-2223−33−310-11-11-1-223−300003−33−311-1-133−3−3−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000
χ1082-2-22-120-2201-112-2-23−33−3-101-111-1-22−3300003−33−311-1-1−3−333−i2i2i2−i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000-222-21-202-20-11-1-222−33−3310-11-1-112-23−30000−33−33-1-11133−3−3i2−i2−i2i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000
χ1092-2-22-120-2201-112-2-23−33−3-101-111-1-22−3300003−33−311-1-1−3−333i2−i2−i2i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000-222-21-202-20-11-1-222−33−3310-11-1-112-23−30000−33−33-1-11133−3−3−i2i2i2−i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000
χ1102-2-22-120-2201-112-2-2−33−33-101-111-1-223−30000−33−3311-1-133−3−3−i2i2i2−i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000-222-21-202-20-11-1-2223−33−310-11-1-112-2−3300003−33−3-1-111−3−333i2−i2−i2i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000
χ1112-2-22-120-2201-112-2-2−33−33-101-111-1-223−30000−33−3311-1-133−3−3i2−i2−i2i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000-222-21-202-20-11-1-2223−33−310-11-1-112-2−3300003−33−3-1-111−3−333−i2i2i2−i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000
χ1124444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000-4-4-4-422-4-4-4-42222222222-1-4-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000
χ1134444-2-24-4-44-2-2-2-2-2-2-2-2-2-21-411122222222-2-21111-1-1-1-1-1-1-1-10000000000000000000000-4-4-4-422-444-42222222222-14-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1111111110000000000000000000000
χ1144444-2-2-444-4-2-2-2-2-2-222221-4111-2-2-2-2222222-1-1-1-11111-1-1-1-10000000000000000000000-4-4-4-4224-4-44222222-2-2-2-2-14-1-1-12222-2-2-2-2-2-21111-1-1-1-111110000000000000000000000
χ1154444-2-2-4-4-4-4-2-2-2-2-2-22222141112222-2-2-2-222-1-1-1-1-1-1-1-111110000000000000000000000-4-4-4-4224444222222-2-2-2-2-1-4-1-1-1-2-2-2-22222-2-211111111-1-1-1-10000000000000000000000
χ11644-4-4440000-4-44-44-4000040-4-4400000000000000000000000000000000000000000000-4-444-4-4000044-44-440000-4044-400000000000000000000000000000000000000000000
χ11744-4-44-20000-4-442-220000-2022-2000000−2i32i30000000000−2i32i3−2i32i30000000000000000000000-4-444-42000044-4-22-2000020-2-220000002i3−2i300000000002i3−2i32i3−2i30000000000000000000000
χ11844-4-44-20000-4-442-220000-2022-20000002i3−2i300000000002i3−2i32i3−2i30000000000000000000000-4-444-42000044-4-22-2000020-2-22000000−2i32i30000000000−2i32i3−2i32i30000000000000000000000
χ11944-4-4-24000022-2-44-423−23−2323-2022-2000000000023−23−2323000000000000000000000000000000-4-4442-40000-2-224-44−232323−2320-2-220000000000−232323−23000000000000000000000000000000
χ12044-4-4-24000022-2-44-4−232323−23-2022-20000000000−232323−23000000000000000000000000000000-4-4442-40000-2-224-4423−23−232320-2-22000000000023−23−2323000000000000000000000000000000
χ12144-4-4-2-2000022-22-2223−23−232310-1-11000000−2i32i300−333−33i−3i3i−3ii3−i3i3−i30000000000000000000000-4-444220000-2-22-22-2−232323−23-1011-10000002i3−2i3003−3−33−3i3i−3i3i−i3i3−i3i30000000000000000000000
χ12244-4-4-2-2000022-22-2223−23−232310-1-110000002i3−2i300−333−3−3i3i−3i3i−i3i3−i3i30000000000000000000000-4-444220000-2-22-22-2−232323−23-1011-1000000−2i32i3003−3−333i−3i3i−3ii3−i3i3−i30000000000000000000000
χ12344-4-4-2-2000022-22-22−232323−2310-1-11000000−2i32i3003−3−33−3i3i−3i3ii3−i3i3−i30000000000000000000000-4-444220000-2-22-22-223−23−2323-1011-10000002i3−2i300−333−33i−3i3i−3i−i3i3−i3i30000000000000000000000
χ12444-4-4-2-2000022-22-22−232323−2310-1-110000002i3−2i3003−3−333i−3i3i−3i−i3i3−i3i30000000000000000000000-4-444220000-2-22-22-223−23−2323-1011-1000000−2i32i300−333−3−3i3i−3i3ii3−i3i3−i30000000000000000000000
χ1254-44-44-2400-44-4-422-244-4-4-20-22200000000-22-2-222000000000000000000000000000000-44-44-42-4004-444-2-22-4-444202-2-2000000002-222-2-2000000000000000000000000000000
χ1264-44-44-2-40044-4-422-2-4-444-20-222000000002-222-2-2000000000000000000000000000000-44-44-42400-4-444-2-2244-4-4202-2-200000000-22-2-222000000000000000000000000000000
χ1274-44-4-24400-4-222-4-44-2-222-20-222000000004-4-2-222000000000000000000000000000000-44-442-4-40042-2-244-422-2-2202-2-200000000-4422-2-2000000000000000000000000000000
χ1284-44-4-24-4004-222-4-4422-2-2-20-22200000000-4422-2-2000000000000000000000000000000-44-442-4400-42-2-244-4-2-222202-2-2000000004-4-2-222000000000000000000000000000000
χ1294-44-4-2-2400-4-22222-2-2-222101-1-100000000-2211-1-13i−3i−3i3i3i−3i−3i3i0000000000000000000000-44-4422-40042-2-2-2-2222-2-2-10-111000000002-2-1-111−3i3i3i−3i−3i3i3i−3i0000000000000000000000
χ1304-44-4-2-2400-4-22222-2-2-222101-1-100000000-2211-1-1−3i3i3i−3i−3i3i3i−3i0000000000000000000000-44-4422-40042-2-2-2-2222-2-2-10-111000000002-2-1-1113i−3i−3i3i3i−3i−3i3i0000000000000000000000
χ1314-44-4-2-2-4004-22222-222-2-2101-1-1000000002-2-1-1113i−3i−3i3i−3i3i3i−3i0000000000000000000000-44-4422400-42-2-2-2-22-2-222-10-11100000000-2211-1-1−3i3i3i−3i3i−3i−3i3i0000000000000000000000
χ1324-44-4-2-2-4004-22222-222-2-2101-1-1000000002-2-1-111−3i3i3i−3i3i−3i−3i3i0000000000000000000000-44-4422400-42-2-2-2-22-2-222-10-11100000000-2211-1-13i−3i−3i3i−3i3i3i−3i0000000000000000000000
χ1334-4-444-204-40-44-4-2220000-202-224-4-220000000000-2-22200000000000000000000000000-444-4-420-4404-442-2-2000020-22-2-442-2000000000022-2-200000000000000000000000000
χ1344-4-444-20-440-44-4-2220000-202-22-442-2000000000022-2-200000000000000000000000000-444-4-4204-404-442-2-2000020-22-24-4-220000000000-2-22200000000000000000000000000
χ1354-4-44-2-204-402-22-22223−2323−2310-11-1-22-2223−230000−33−3311-1-1−3−3330000000000000000000000-444-4220-440-22-22-2-2−2323−2323-101-112-22-2−232300003−33−3-1-11133−3−30000000000000000000000
χ1364-4-44-2-204-402-22-222−2323−232310-11-1-22-22−232300003−33−311-1-133−3−30000000000000000000000-444-4220-440-22-22-2-223−2323−23-101-112-22-223−230000−33−33-1-111−3−3330000000000000000000000
χ1374-4-44-2-20-4402-22-22223−2323−2310-11-12-22-2−23230000−33−33-1-11133−3−30000000000000000000000-444-42204-40-22-22-2-2−2323−2323-101-11-22-2223−2300003−33−311-1-1−3−3330000000000000000000000
χ1384-4-44-2-20-4402-22-222−2323−232310-11-12-22-223−2300003−33−3-1-111−3−3330000000000000000000000-444-42204-40-22-22-2-223−2323−23-101-11-22-22−23230000−33−3311-1-133−3−30000000000000000000000

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