Finite Group Databasebeta

← Group #13155737

Character table — Group #13155737

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222222233334444444444444444444444446666666666666666666666666688888888881212121212121212121212121212121212121212121212121212121218181818181818181818181824242424242436363636363636367272108108
order12442333466666121212121212121288883336666666661212121212121212121212128888882424242424242424242424242424242424242424366661212121212882424242424242424242424242424242424242424242424242424444412121212121212122424242424242466881212242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ51111111111111111111111-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1
χ61111111111111111111111-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ71111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111111111-1-1
χ911-1-1-1111111-1-1111-1-1-1-1-1-1ii−i−i111-1-1-1-1-1-1111111-1-1111-1-1-1-1i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i1-1-1-11111-1-1i−ii−iii−i−iiiii−i−i−i−i111111-1-1-1-1-1-1ii−i−iiiii−i−i−i−ii−iii−i−i1-111i−i-1-1i−i1-1
χ1011-1-1-1111111-1-1111-1-1-1-1-1-1ii−i−i111-1-1-1-1-1-1111111-1-1111-1-1-1-1i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i1-1-1-11111-1-1−iii−i−i−iiiiiii−i−i−i−i111111-1-1-1-1-1-1ii−i−iiiii−i−i−i−i−ii−i−iii-11-1-1−ii11−ii-11
χ1111-1-1-1111111-1-1111-1-1-1-1-1-1ii−i−i111-1-1-1-1-1-1111111-1-1111-1-1-1-1i−i-1-111iiii−i−i−i−i-1-1-1-11111ii−i−i1-1-1-11111-1-1i−ii−iii−i−iiiii−i−i−i−i-1-1-1-1-1-1111111−i−iii−i−i−i−iiiiii−iii−i−i1-111−ii-1-1−ii-11
χ1211-1-1-1111111-1-1111-1-1-1-1-1-1ii−i−i111-1-1-1-1-1-1111111-1-1111-1-1-1-1i−i-1-111iiii−i−i−i−i-1-1-1-11111ii−i−i1-1-1-11111-1-1−iii−i−i−iiiiiii−i−i−i−i-1-1-1-1-1-1111111−i−iii−i−i−i−iiiii−ii−i−iii-11-1-1i−i11i−i1-1
χ1311-1-1-1111111-1-1111-1-1-1-1-1-1−i−iii111-1-1-1-1-1-1111111-1-1111-1-1-1-1−ii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii1-1-1-11111-1-1i−i−iiii−i−i−i−i−i−iiiii111111-1-1-1-1-1-1−i−iii−i−i−i−iiiiii−iii−i−i-11-1-1i−i11i−i-11
χ1411-1-1-1111111-1-1111-1-1-1-1-1-1−i−iii111-1-1-1-1-1-1111111-1-1111-1-1-1-1−ii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii1-1-1-11111-1-1−ii−ii−i−iii−i−i−i−iiiii111111-1-1-1-1-1-1−i−iii−i−i−i−iiiii−ii−i−iii1-111−ii-1-1−ii1-1
χ1511-1-1-1111111-1-1111-1-1-1-1-1-1−i−iii111-1-1-1-1-1-1111111-1-1111-1-1-1-1−ii-1-111−i−i−i−iiiii-1-1-1-11111−i−iii1-1-1-11111-1-1i−i−iiii−i−i−i−i−i−iiiii-1-1-1-1-1-1111111ii−i−iiiii−i−i−i−ii−iii−i−i-11-1-1−ii11−ii1-1
χ1611-1-1-1111111-1-1111-1-1-1-1-1-1−i−iii111-1-1-1-1-1-1111111-1-1111-1-1-1-1−ii-1-111−i−i−i−iiiii-1-1-1-11111−i−iii1-1-1-11111-1-1−ii−ii−i−iii−i−i−i−iiiii-1-1-1-1-1-1111111ii−i−iiiii−i−i−i−i−ii−i−iii1-111i−i-1-1i−i-11
χ172222222-122222-12222-1-12222222-1-12-122-1-12-1-1-1-1-122222-1-1-1-12200002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000022-1-1-1-122-1-100-1-10000
χ182222222-122222-12222-1-12222222-1-12-122-1-12-1-1-1-1-122222-1-1-1-12200002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-1-11111-1-1-1-1-1-1-1-1000000000000000000000000-2-21111-2-21100110000
χ192222222-122222-12222-1-122-2-2-2-22-1-12-122-1-12-1-1-1-1-122222-1-1-1-1-2-20000-2-2-2-2-2-2-2-2000000001111-1-1-1-1-1-1-1-1-1-12211-1-1-1-11111111100000000000000000000000022-1-1-1-1-2-21100110000
χ202222222-122222-12222-1-122-2-2-2-22-1-12-122-1-12-1-1-1-1-122222-1-1-1-1-2-20000-2-2-2-2-2-2-2-2000000001111-1-1-1-1-1-1-1-1-1-1-2-211111111111111000000000000000000000000-2-2111122-1-100-1-10000
χ21222222-1222-1222222222-1-10000-12-1-12-1-122-12-1222-1-1-1-1-122-1-100222200000000222222220000-1-1-1-1-1-1-1-1-1-12200222200000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-100002200-1-100
χ22222222-1222-1222222222-1-10000-12-1-12-1-122-12-1222-1-1-1-1-122-1-100222200000000222222220000-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-10000000000001111110000-2-2001100
χ23222222-1222-1222222222-1-10000-12-1-12-1-122-12-1222-1-1-1-1-122-1-100-2-2-2-200000000-2-2-2-2-2-2-2-20000-1-1-1-1-1-1-1-1-1-12200222200000000111111111111000000000000-1-1-1-1-1-10000-2-2001100
χ24222222-1222-1222222222-1-10000-12-1-12-1-122-12-1222-1-1-1-1-122-1-100-2-2-2-200000000-2-2-2-2-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-20000000011111111111100000000000011111100002200-1-100
χ2522222-1222-12-1-12-1-1-1-122222222-1-1222-1-1-1-1-1-122-1-1-1-12-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12-1-1-12-1-1-1-100220000-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000
χ2622222-1222-12-1-12-1-1-1-122222222-1-1222-1-1-1-1-1-122-1-1-1-12-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1111111112222-12-1-1-12-1-1-1-100220000-1-1-1-1-1-1-1-1-2-21111-2-21111-2-2-2-211111111000000000000000000
χ2722222-1222-12-1-12-1-1-1-12222-2-2-2-2-1-1222-1-1-1-1-1-122-1-1-1-12-1-1-1-122-2-2222211111111-1-1-1-1-1-1-1-1-2-2-2-2-12-1-1-12-1-1-1-100-2-200001111111122-1-1-1-122-1-1-1-1-2-2-2-211111111000000000000000000
χ2822222-1222-12-1-12-1-1-1-12222-2-2-2-2-1-1222-1-1-1-1-1-122-1-1-1-12-1-1-1-122-2-2-2-2-2-21111111111111111-2-2-2-2-12-1-1-12-1-1-1-100-2-2000011111111-2-21111-2-211112222-1-1-1-1-1-1-1-1000000000000000000
χ292222-2222-222-2-22-2-22222222222222-2-2-2-2-2-2222-2-2-222-2-2-22222-2-2000022-2-222-2-20000000022222-2-2-22-2-2-22200-2-2000022-2-222-2-2000000000000000000000000000000000000000000
χ302222-2222-222-2-22-2-2222222-2-2-2-2222-2-2-2-2-2-2222-2-2-222-2-2-22222220000-2-222-2-22200000000-2-2-2-22-2-2-22-2-2-22200220000-2-222-2-222000000000000000000000000000000000000000000
χ312222-222-1-222-2-2-1-2-222-1-12222222-1-1-21-2-2112-1-111122-2-2-2-1-1-1-1-2-2000022-2-222-2-200000000-1-1-1-1-1111-1111-1-10011−i3i3−i3i3-1-111-1-11100000000000000000000000000−i3i3−i3i300−i3i300−i3i30000
χ322222-222-1-222-2-2-1-2-222-1-12222222-1-1-21-2-2112-1-111122-2-2-2-1-1-1-1-2-2000022-2-222-2-200000000-1-1-1-1-1111-1111-1-10011i3−i3i3−i3-1-111-1-11100000000000000000000000000i3−i3i3−i300i3−i300i3−i30000
χ332222-222-1-222-2-2-1-2-222-1-122-2-2-2-22-1-1-21-2-2112-1-111122-2-2-2-1-1-1-1220000-2-222-2-222000000001111-1111-1111-1-100-1-1−i3i3−i3i311-1-111-1-100000000000000000000000000−i3i3−i3i300i3−i300i3−i30000
χ342222-222-1-222-2-2-1-2-222-1-122-2-2-2-22-1-1-21-2-2112-1-111122-2-2-2-1-1-1-1220000-2-222-2-222000000001111-1111-1111-1-100-1-1i3−i3i3−i311-1-111-1-100000000000000000000000000i3−i3i3−i300−i3i300−i3i30000
χ352222-2-122-2-1211211-1-122222222-1-12-2-21111-1-12-211-1-1-211-1-122-2-20000-1-111-1-11133−3−333−3−32222-1-211-1-211-1-100-2-20000-1-111-1-1110033−3−30033−3−3000033−3−333−3−3000000000000000000
χ362222-2-122-2-1211211-1-122222222-1-12-2-21111-1-12-211-1-1-211-1-122-2-20000-1-111-1-111−3−333−3−3332222-1-211-1-211-1-100-2-20000-1-111-1-11100−3−33300−3−3330000−3−333−3−333000000000000000000
χ372222-2-122-2-1211211-1-12222-2-2-2-2-1-12-2-21111-1-12-211-1-1-211-1-12222000011-1-111-1-133−3−333−3−3-2-2-2-2-1-211-1-211-1-10022000011-1-111-1-10033−3−30033−3−30000−3−333−3−333000000000000000000
χ382222-2-122-2-1211211-1-12222-2-2-2-2-1-12-2-21111-1-12-211-1-1-211-1-12222000011-1-111-1-1−3−333−3−333-2-2-2-2-1-211-1-211-1-10022000011-1-111-1-100−3−33300−3−333000033−3−333−3−3000000000000000000
χ3922-2-22222-222222-2-2-2-2-2-2-2-22i2i−2i−2i222222222222-2-2-2-2-2-2-2-2-2-2-2-2−2i2i00002i2i−2i−2i−2i−2i2i2i000000002i2i−2i−2i22222-2-2-2-2-200−2i2i00002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000
χ4022-2-22222-222222-2-2-2-2-2-2-2-2−2i−2i2i2i222222222222-2-2-2-2-2-2-2-2-2-2-2-22i−2i0000−2i−2i2i2i2i2i−2i−2i00000000−2i−2i2i2i22222-2-2-2-2-2002i−2i0000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000
χ4122-2-2222-1-22222-1-2-2-2-211-2-22i2i−2i−2i2-1-12-122-1-12-1-1111-2-2-2-2-21111−2i2i00002i2i−2i−2i−2i−2i2i2i00000000−i−iii-1-1-1-1-11111100i−i3−3−33−i−iiiii−i−i000000000000000000000000003−3−3300−i3i300i3−i30000
χ4222-2-2222-1-22222-1-2-2-2-211-2-22i2i−2i−2i2-1-12-122-1-12-1-1111-2-2-2-2-21111−2i2i00002i2i−2i−2i−2i−2i2i2i00000000−i−iii-1-1-1-1-11111100i−i−333−3−i−iiiii−i−i00000000000000000000000000−333−300i3−i300−i3i30000
χ4322-2-2222-1-22222-1-2-2-2-211-2-2−2i−2i2i2i2-1-12-122-1-12-1-1111-2-2-2-2-211112i−2i0000−2i−2i2i2i2i2i−2i−2i00000000ii−i−i-1-1-1-1-11111100−ii3−3−33ii−i−i−i−iii000000000000000000000000003−3−3300i3−i300−i3i30000
χ4422-2-2222-1-22222-1-2-2-2-211-2-2−2i−2i2i2i2-1-12-122-1-12-1-1111-2-2-2-2-211112i−2i0000−2i−2i2i2i2i2i−2i−2i00000000ii−i−i-1-1-1-1-11111100−ii−333−3ii−i−i−i−iii00000000000000000000000000−333−300−i3i300i3−i30000
χ4522-2-22-122-2-12-1-121111-2-2-2-22i2i−2i−2i-1-1222-1-1-1-1-1-12-21111-21111-2-2−2i2i0000−i−iiiii−i−i33−3−3−3−3332i2i−2i−2i-12-1-1-1-2111100−2i2i0000−i−iiiii−i−i0033−3−300−3−3330000i3i3−i3−i3−i3−i3i3i3000000000000000000
χ4622-2-22-122-2-12-1-121111-2-2-2-22i2i−2i−2i-1-1222-1-1-1-1-1-12-21111-21111-2-2−2i2i0000−i−iiiii−i−i−3−33333−3−32i2i−2i−2i-12-1-1-1-2111100−2i2i0000−i−iiiii−i−i00−3−3330033−3−30000−i3−i3i3i3i3i3−i3−i3000000000000000000
χ4722-2-22-122-2-12-1-121111-2-2-2-2−2i−2i2i2i-1-1222-1-1-1-1-1-12-21111-21111-2-22i−2i0000ii−i−i−i−iii33−3−3−3−333−2i−2i2i2i-12-1-1-1-21111002i−2i0000ii−i−i−i−iii0033−3−300−3−3330000−i3−i3i3i3i3i3−i3−i3000000000000000000
χ4822-2-22-122-2-12-1-121111-2-2-2-2−2i−2i2i2i-1-1222-1-1-1-1-1-12-21111-21111-2-22i−2i0000ii−i−i−i−iii−3−33333−3−3−2i−2i2i2i-12-1-1-1-21111002i−2i0000ii−i−i−i−iii00−3−3330033−3−30000i3i3−i3−i3−i3−i3i3i3000000000000000000
χ4922-2-2-222-1222-2-2-122-2-211-2-22i2i−2i−2i2-1-1-21-2-2112-1-1-1-1-1-2-222211112i−2i00002i2i2i2i−2i−2i−2i−2i00000000−i−iii-1111-1-1-1-1112i−2i−ii−i−iii−i−i−i−iiiii0000000000000000000000002i−2i−i−iii2-2-1-100110000
χ5022-2-2-222-1222-2-2-122-2-211-2-22i2i−2i−2i2-1-1-21-2-2112-1-1-1-1-1-2-222211112i−2i00002i2i2i2i−2i−2i−2i−2i00000000−i−iii-1111-1-1-1-111−2i2i−iiii−i−i−i−i−i−iiiii000000000000000000000000−2i2iii−i−i-221100-1-10000
χ5122-2-2-222-1222-2-2-122-2-211-2-2−2i−2i2i2i2-1-1-21-2-2112-1-1-1-1-1-2-22221111−2i2i0000−2i−2i−2i−2i2i2i2i2i00000000ii−i−i-1111-1-1-1-1112i−2ii−i−i−iiiiiii−i−i−i−i0000000000000000000000002i−2i−i−iii-221100-1-10000
χ5222-2-2-222-1222-2-2-122-2-211-2-2−2i−2i2i2i2-1-1-21-2-2112-1-1-1-1-1-2-22221111−2i2i0000−2i−2i−2i−2i2i2i2i2i00000000ii−i−i-1111-1-1-1-111−2i2ii−iii−i−iiiii−i−i−i−i000000000000000000000000−2i2iii−i−i2-2-1-100110000
χ5322-2-2-22-1222-1-2-2222-2-2-2-2110000-12-11-211-2-2-12-122211-1-1-1-2-2110022-2-2000000002222-2-2-2-20000-1111-1-1-1-1112i−2i002i2i−2i−2i00000000-1-1-1-1-1-1111111000000000000−ii−i−iii00002i−2i00−ii00
χ5422-2-2-22-1222-1-2-2222-2-2-2-2110000-12-11-211-2-2-12-122211-1-1-1-2-2110022-2-2000000002222-2-2-2-20000-1111-1-1-1-111−2i2i00−2i−2i2i2i00000000-1-1-1-1-1-1111111000000000000i−iii−i−i0000−2i2i00i−i00
χ5522-2-2-22-1222-1-2-2222-2-2-2-2110000-12-11-211-2-2-12-122211-1-1-1-2-21100-2-22200000000-2-2-2-222220000-1111-1-1-1-1112i−2i002i2i−2i−2i00000000111111-1-1-1-1-1-1000000000000−ii−i−iii0000−2i2i00i−i00
χ5622-2-2-22-1222-1-2-2222-2-2-2-2110000-12-11-211-2-2-12-122211-1-1-1-2-21100-2-22200000000-2-2-2-222220000-1111-1-1-1-111−2i2i00−2i−2i2i2i00000000111111-1-1-1-1-1-1000000000000i−iii−i−i00002i−2i00−ii00
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χ1294-4−4i4i0-24-202-42i3−2i3223−232i−2i2i−2i−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23-21-2002i3−2i3−i3i32-120−332i−2i023−23−ii2i−2i0000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7+2ζ232ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5−2ζ13−2ζ5+2ζ13000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2310−i3i3-10−33−ii00000000−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000000000000000000
χ1304-4−4i4i0-24-202-42i3−2i3223−232i−2i2i−2i−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23-21-2002i3−2i3−i3i32-120−332i−2i023−23−ii2i−2i000000−2ζ5−2ζ132ζ5+2ζ132ζ7−2ζ23−2ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5+2ζ132ζ5−2ζ1300000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2310−i3i3-10−33−ii00000000ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000000000000000000
χ1314-4−4i4i0-2-24022−2i32i3-4−23232i−2i−4i4i2i−2i00001-2-200i3−i3−2i32i3-1220−2323−ii03−32i−2i2i−2i0022−222i2−2i2000000002ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23000010i3−i3-103−3−ii0000000000000000−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000000000000000000000
χ1324-4−4i4i0-2-24022−2i32i3-4−23232i−2i−4i4i2i−2i00001-2-200i3−i3−2i32i3-1220−2323−ii03−32i−2i2i−2i00−2222−2i22i200000000−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23000010i3−i3-103−3−ii00000000000000002−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000000000000000000000
χ1334-4−4i4i0-2-240222i3−2i3-423−232i−2i−4i4i2i−2i00001-2-200−i3i32i3−2i3-122023−23−ii0−332i−2i2i−2i0022−222i2−2i2000000002ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7000010−i3i3-10−33−ii0000000000000000−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000000000000000000000
χ1344-4−4i4i0-2-240222i3−2i3-423−232i−2i−4i4i2i−2i00001-2-200−i3i32i3−2i3-122023−23−ii0−332i−2i2i−2i00−2222−2i22i200000000−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7000010−i3i3-10−33−ii00000000000000002−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000000000000000000000
χ13588888-4-4-48-4-4-4-4-4-4-4-4-4-4-4-4-40000222-4-42222222-42222-422222200000000000000000000000000-12-1-1-12-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ1368888-8-4-4-4-8-4-444-444-4-4-4-4-4-4000022244-2-2-2-22224-2-2224-2-2222200000000000000000000000000-1-211-1-211-1-10000000000000000000000000000000000000000000000000000000000
χ13788-8-88-4-4-4-8-4-4-4-4-4444444440000222-4-422222224-2-2-2-24-2-2-2-2-2-200000000000000000000000000-12-1-1-1-211110000000000000000000000000000000000000000000000000000000000
χ13888-8-8-8-4-4-48-4-444-4-4-4444444000022244-2-2-2-2222-422-2-2-422-2-2-2-200000000000000000000000000-1-211-12-1-1110000000000000000000000000000000000000000000000000000000000
χ1398-88i−8i08-4-40-84004008i−8i−4i4i−4i4i0000-4-4200000044-2000−4i4i000−4i4i2i−2i000000000000000000000000002000-20002i−2i0000000000000000000000000000000000000000000000000000000000
χ1408-88i−8i0-4-4-4044−4i34i3443−43−4i4i−4i4i−4i4i0000222002i3−2i32i3−2i3-2-2-20−23232i−2i0−23232i−2i2i−2i00000000000000000000000000-10−i3i3103−3−ii0000000000000000000000000000000000000000000000000000000000
χ1418-88i−8i0-4-4-40444i3−4i34−4343−4i4i−4i4i−4i4i000022200−2i32i3−2i32i3-2-2-2023−232i−2i023−232i−2i2i−2i00000000000000000000000000-10i3−i310−33−ii0000000000000000000000000000000000000000000000000000000000
χ1428-8−8i8i08-4-40-8400400−8i8i4i−4i4i−4i0000-4-4200000044-20004i−4i0004i−4i−2i2i000000000000000000000000002000-2000−2i2i0000000000000000000000000000000000000000000000000000000000
χ1438-8−8i8i0-4-4-4044−4i34i34−43434i−4i4i−4i4i−4i0000222002i3−2i32i3−2i3-2-2-2023−23−2i2i023−23−2i2i−2i2i00000000000000000000000000-10−i3i310−33i−i0000000000000000000000000000000000000000000000000000000000
χ1448-8−8i8i0-4-4-40444i3−4i3443−434i−4i4i−4i4i−4i000022200−2i32i3−2i32i3-2-2-20−2323−2i2i0−2323−2i2i−2i2i00000000000000000000000000-10i3−i3103−3i−i0000000000000000000000000000000000000000000000000000000000

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