Finite Group Databasebeta

← Group #13155735

Character table — Group #13155735

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222333344444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212181818182424242424242424242424243636363636363636363636363636363654545454
order12442333466612121212121288883336666666612121212121212121212128824242424242424243666661212121212128888242424242424242424242424242424242424242488882424242424242424242424242244666612121212242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-11-11-111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11111-11-11-1-111-1-111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-1-111-1-111-1-1-1-11111
χ7111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-111-1-111-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ911-1-1-11111111-1-1-1-1-1-1ii−i−i111-1-1-1-1-11111111-1-1-1-1-1-11i−iiiii−i−i−i−i1-1-1-1-111111-1-1i−ii−iii−i−iii−i−iii−i−iiiii−i−i−i−i11-1-1i−ii−iii−i−iii−i−i11-1-11111-1-1-1-111-1-1ii−i−i
χ1011-1-1-11111111-1-1-1-1-1-1ii−i−i111-1-1-1-1-11111111-1-1-1-1-1-11i−iiiii−i−i−i−i1-1-1-1-111111-1-1i−i−iiii−i−iii−i−i−i−iiiiiii−i−i−i−i-1-111i−i−iiii−i−i−i−iii1-1-1111-1-1-1-111-1-111−i−iii
χ1111-1-1-11111111-1-1-1-1-1-1ii−i−i111-1-1-1-1-11111111-1-1-1-1-1-11i−iiiii−i−i−i−i1-1-1-1-111111-1-1−iii−iii−i−i−i−iiiii−i−iiiii−i−i−i−i-1-111−iii−i−i−iiiii−i−i-111-1-1-11111-1-1-1-111−i−iii
χ1211-1-1-11111111-1-1-1-1-1-1ii−i−i111-1-1-1-1-11111111-1-1-1-1-1-11i−iiiii−i−i−i−i1-1-1-1-111111-1-1−ii−iiii−i−i−i−iii−i−iiiiiii−i−i−i−i11-1-1−ii−ii−i−iii−i−iii-1-111-1-1-1-1111111-1-1ii−i−i
χ1311-1-1-11111111-1-1-1-1-1-1−i−iii111-1-1-1-1-11111111-1-1-1-1-1-11−ii−i−i−i−iiiii1-1-1-1-111111-1-1i−ii−i−i−iiiii−i−iii−i−i−i−i−i−iiiii11-1-1i−ii−iii−i−iii−i−i-1-111-1-1-1-1111111-1-1−i−iii
χ1411-1-1-11111111-1-1-1-1-1-1−i−iii111-1-1-1-1-11111111-1-1-1-1-1-11−ii−i−i−i−iiiii1-1-1-1-111111-1-1i−i−ii−i−iiiii−i−i−i−iii−i−i−i−iiiii-1-111i−i−iiii−i−i−i−iii-111-1-1-11111-1-1-1-111ii−i−i
χ1511-1-1-11111111-1-1-1-1-1-1−i−iii111-1-1-1-1-11111111-1-1-1-1-1-11−ii−i−i−i−iiiii1-1-1-1-111111-1-1−iii−i−i−iii−i−iiiii−i−i−i−i−i−iiiii-1-111−iii−i−i−iiiii−i−i1-1-1111-1-1-1-111-1-111ii−i−i
χ1611-1-1-11111111-1-1-1-1-1-1−i−iii111-1-1-1-1-11111111-1-1-1-1-1-11−ii−i−i−i−iiiii1-1-1-1-111111-1-1−ii−ii−i−iii−i−iii−i−iii−i−i−i−iiiii11-1-1−ii−ii−i−iii−i−iii11-1-11111-1-1-1-111-1-1−i−iii
χ172222222-1222-12222-1-122222-1-122-1-1-12-1-12-1-1-122-1-1-1-122222-1-122-1-1-12-1-1-1-12-1-1-1-1-100222-12-10000-1-1-1-1-1-1-1-1-1-1-1-1000000220000-1-1-1-1020200-1-100-1-100000000
χ182222222-1222-12222-1-122222-1-122-1-1-12-1-12-1-1-122-1-1-1-122222-1-122-1-1-12-1-1-1-12-1-1-1-1-100-2-22-12-100001111-1-1-1-1-1-1-1-1000000-2-2000011110-20-20011001100000000
χ192222222-1222-12222-1-1-2-2-2-22-1-122-1-1-12-1-12-1-1-122-1-1-1-12-2-2-2-211-2-211-12-1-1-1-12-1-1-1-1-10022-21-210000-1-1-1-111111111000000220000-1-1-1-10-20-20011001100000000
χ202222222-1222-12222-1-1-2-2-2-22-1-122-1-1-12-1-12-1-1-122-1-1-1-12-2-2-2-211-2-211-12-1-1-1-12-1-1-1-1-100-2-2-21-210000111111111111000000-2-200001111020200-1-100-1-100000000
χ21222222-1222-1222-1-1222222-12-12-12-1-1-12-1-12-1-1-1-122-1-1222-1-122-1-122-1-12-1-1-1-12-1-1-1-12200-12-12-1-1-1-10000-1-1-1-1-1-1-1-100002200-1-1-1-100002020-1-100-1-10000000000
χ22222222-1222-1222-1-1222222-12-12-12-1-1-12-1-12-1-1-1-122-1-1222-1-122-1-122-1-12-1-1-1-12-1-1-1-1-2-200-12-1211110000-1-1-1-1-1-1-1-10000-2-20011110000-20-201100110000000000
χ23222222-1222-1222-1-122-2-2-2-2-12-12-12-1-1-12-1-12-1-1-1-122-1-12-2-211-2-211-2-2-1-12-1-1-1-12-1-1-1-122001-21-2-1-1-1-100001111111100002200-1-1-1-10000-20-201100110000000000
χ24222222-1222-1222-1-122-2-2-2-2-12-12-12-1-1-12-1-12-1-1-1-122-1-12-2-211-2-211-2-2-1-12-1-1-1-12-1-1-1-1-2-2001-21-211110000111111110000-2-200111100002020-1-100-1-10000000000
χ2522222-1222-122-1-122220000-1-12-12222-1-122222-1-1-1-122-10000000000-1-1-1-1-1-1-1-1-1-1-1-12222000022222222000000002222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-10000
χ2622222-1222-122-1-122220000-1-12-12222-1-122222-1-1-1-122-10000000000-1-1-1-1-1-1-1-1-1-1-1-122-2-200002222-2-2-2-200000000-2-2-2-2-1-111-1-1-1-1111100000000000011110000
χ2722222-1222-122-1-122220000-1-12-12222-1-122222-1-1-1-122-10000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2220000-2-2-2-2222200000000-2-2-2-211-1-11111-1-1-1-100000000000011110000
χ2822222-1222-122-1-122220000-1-12-12222-1-122222-1-1-1-122-10000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2-2-2-2-2000000002222111111111111000000000000-1-1-1-10000
χ292222-2222-22222222222222222-2-2-2-2-2222-2-2-2-2222222-2-2-2222222222-2-2-2-22-2-2-2-2220000-2-2-2-20000000022-2-222-2-2000000000000000000000000000000000000
χ302222-2222-2222222222-2-2-2-2222-2-2-2-2-2222-2-2-2-2222222-222-2-2-2-2-2-2-2-22-2-2-2-22-2-2-2-2220000222200000000-2-222-2-222000000000000000000000000000000000000
χ312222-222-1-222-12222-1-122222-1-1-2-21112-1-1-211122-1-1-1-1-2-2-222-1-122-1-1-1-2111-1-2111-1-10000-21-210000−i3i3−i3i3-1-111-1-111000000000000−i3i3−i3i3000000−i3i300−i3i300000000
χ322222-222-1-222-12222-1-122222-1-1-2-21112-1-1-211122-1-1-1-1-2-2-222-1-122-1-1-1-2111-1-2111-1-10000-21-210000i3−i3i3−i3-1-111-1-111000000000000i3−i3i3−i3000000i3−i300i3−i300000000
χ332222-222-1-222-12222-1-1-2-2-2-22-1-1-2-21112-1-1-211122-1-1-1-1-222-2-211-2-211-1-2111-1-2111-1-100002-12-10000−i3i3−i3i311-1-111-1-1000000000000−i3i3−i3i3000000i3−i300i3−i300000000
χ342222-222-1-222-12222-1-1-2-2-2-22-1-1-2-21112-1-1-211122-1-1-1-1-222-2-211-2-211-1-2111-1-2111-1-100002-12-10000i3−i3i3−i311-1-111-1-1000000000000i3−i3i3−i3000000−i3i300−i3i300000000
χ352222-22-12-22-1222-1-1222222-12-1-21-211-12-11-211-1-122-1-1-2-2-2-1-122-1-122-11-211-11-211-1-100001-21-2−i3i3−i3i30000-1-111-1-11100000000−i3i3−i3i300000000−i3i300−i3i30000000000
χ362222-22-12-22-1222-1-1222222-12-1-21-211-12-11-211-1-122-1-1-2-2-2-1-122-1-122-11-211-11-211-1-100001-21-2i3−i3i3−i30000-1-111-1-11100000000i3−i3i3−i300000000i3−i300i3−i30000000000
χ372222-22-12-22-1222-1-122-2-2-2-2-12-1-21-211-12-11-211-1-122-1-1-22211-2-211-2-2-11-211-11-211-1-10000-12-12−i3i3−i3i3000011-1-111-1-100000000−i3i3−i3i300000000i3−i300i3−i30000000000
χ382222-22-12-22-1222-1-122-2-2-2-2-12-1-21-211-12-11-211-1-122-1-1-22211-2-211-2-2-11-211-11-211-1-10000-12-12i3−i3i3−i3000011-1-111-1-100000000i3−i3i3−i300000000−i3i300−i3i30000000000
χ3922-2-22222-2222-2-2-2-2-2-22i2i−2i−2i22222222222-2-2-2-2-2-2-2-2-2-2-2−2i2i2i2i2i2i−2i−2i−2i−2i222222-2-2-2-2-2-20000−2i−2i2i2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ4022-2-22222-2222-2-2-2-2-2-2−2i−2i2i2i22222222222-2-2-2-2-2-2-2-2-2-2-22i−2i−2i−2i−2i−2i2i2i2i2i222222-2-2-2-2-2-200002i2i−2i−2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000
χ4122-2-2222-1-222-1-2-2-2-2112i2i−2i−2i2-1-122-1-1-12-1-1-2111-2-21111-2−2i2i2i2i−i−i−2i−2iii-12-1-1-1-1-2111110000−2ii2i−i00003−3−33−i−iiiii−i−i0000000000003−3−33000000−i3i300i3−i300000000
χ4222-2-2222-1-222-1-2-2-2-2112i2i−2i−2i2-1-122-1-1-12-1-1-2111-2-21111-2−2i2i2i2i−i−i−2i−2iii-12-1-1-1-1-2111110000−2ii2i−i0000−333−3−i−iiiii−i−i000000000000−333−3000000i3−i300−i3i300000000
χ4322-2-2222-1-222-1-2-2-2-211−2i−2i2i2i2-1-122-1-1-12-1-1-2111-2-21111-22i−2i−2i−2iii2i2i−i−i-12-1-1-1-1-21111100002i−i−2ii00003−3−33ii−i−i−i−iii0000000000003−3−33000000i3−i300−i3i300000000
χ4422-2-2222-1-222-1-2-2-2-211−2i−2i2i2i2-1-122-1-1-12-1-1-2111-2-21111-22i−2i−2i−2iii2i2i−i−i-12-1-1-1-1-21111100002i−i−2ii0000−333−3ii−i−i−i−iii000000000000−333−3000000−i3i300i3−i300000000
χ4522-2-222-12-22-12-2-211-2-22i2i−2i−2i-12-12-12-1-1-12-11-21111-2-211-2−2i2i−i−i2i2iii−2i−2i-1-12-1-1-11-211110000i−2i−i2i3−3−330000−i−iiiii−i−i000000003−3−3300000000−i3i300i3−i30000000000
χ4622-2-222-12-22-12-2-211-2-22i2i−2i−2i-12-12-12-1-1-12-11-21111-2-211-2−2i2i−i−i2i2iii−2i−2i-1-12-1-1-11-211110000i−2i−i2i−333−30000−i−iiiii−i−i00000000−333−300000000i3−i300−i3i30000000000
χ4722-2-222-12-22-12-2-211-2-2−2i−2i2i2i-12-12-12-1-1-12-11-21111-2-211-22i−2iii−2i−2i−i−i2i2i-1-12-1-1-11-211110000−i2ii−2i3−3−330000ii−i−i−i−iii000000003−3−3300000000i3−i300−i3i30000000000
χ4822-2-222-12-22-12-2-211-2-2−2i−2i2i2i-12-12-12-1-1-12-11-21111-2-211-22i−2iii−2i−2i−i−i2i2i-1-12-1-1-11-211110000−i2ii−2i−333−30000ii−i−i−i−iii00000000−333−300000000−i3i300i3−i30000000000
χ4922-2-2-222-1222-1-2-2-2-2112i2i−2i−2i2-1-1-2-21112-1-12-1-1-1-2-2111122i−2i2i2i−i−i−2i−2iii-1-2111-12-1-1-111002i−2i2i−i−2ii0000−i−iii−i−i−i−iiiii0000002i−2i0000−i−iii020-200-1-1001100000000
χ5022-2-2-222-1222-1-2-2-2-2112i2i−2i−2i2-1-1-2-21112-1-12-1-1-1-2-2111122i−2i2i2i−i−i−2i−2iii-1-2111-12-1-1-11100−2i2i2i−i−2ii0000ii−i−i−i−i−i−iiiii000000−2i2i0000ii−i−i0-202001100-1-100000000
χ5122-2-2-222-1222-1-2-2-2-211−2i−2i2i2i2-1-1-2-21112-1-12-1-1-1-2-211112−2i2i−2i−2iii2i2i−i−i-1-2111-12-1-1-111002i−2i−2ii2i−i0000−i−iiiiiii−i−i−i−i0000002i−2i0000−i−iii0-202001100-1-100000000
χ5222-2-2-222-1222-1-2-2-2-211−2i−2i2i2i2-1-1-2-21112-1-12-1-1-1-2-211112−2i2i−2i−2iii2i2i−i−i-1-2111-12-1-1-11100−2i2i−2ii2i−i0000ii−i−iiiii−i−i−i−i000000−2i2i0000ii−i−i020-200-1-1001100000000
χ5322-2-2-22-1222-12-2-211-2-22i2i−2i−2i-12-1-21-211-12-1-12-1-111-2-21122i−2i−i−i2i2iii−2i−2i-11-211-1-12-1-1112i−2i00−i2ii−2i−i−iii0000−i−i−i−iiiii00002i−2i00−i−iii000020-20-1-100110000000000
χ5422-2-2-22-1222-12-2-211-2-22i2i−2i−2i-12-1-21-211-12-1-12-1-111-2-21122i−2i−i−i2i2iii−2i−2i-11-211-1-12-1-111−2i2i00−i2ii−2iii−i−i0000−i−i−i−iiiii0000−2i2i00ii−i−i0000-20201100-1-10000000000
χ5522-2-2-22-1222-12-2-211-2-2−2i−2i2i2i-12-1-21-211-12-1-12-1-111-2-2112−2i2iii−2i−2i−i−i2i2i-11-211-1-12-1-1112i−2i00i−2i−i2i−i−iii0000iiii−i−i−i−i00002i−2i00−i−iii0000-20201100-1-10000000000
χ5622-2-2-22-1222-12-2-211-2-2−2i−2i2i2i-12-1-21-211-12-1-12-1-111-2-2112−2i2iii−2i−2i−i−i2i2i-11-211-1-12-1-111−2i2i00i−2i−i2iii−i−i0000iiii−i−i−i−i0000−2i2i00ii−i−i000020-20-1-100110000000000
χ5722-2-2-2-1222-12211-2-2-2-20000-1-121-2-2-2-2-1-1222221111-2-2-10000000000-11111-1-1-1-1-1112i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i0000000022-2-2−ii−ii−i−iii−i−iii000000000000-1-1110000
χ5822-2-2-2-1222-12211-2-2-2-20000-1-121-2-2-2-2-1-1222221111-2-2-10000000000-11111-1-1-1-1-1112i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i00000000-2-222−iii−i−i−iiiii−i−i00000000000011-1-10000
χ5922-2-2-2-1222-12211-2-2-2-20000-1-121-2-2-2-2-1-1222221111-2-2-10000000000-11111-1-1-1-1-111−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i00000000-2-222i−i−iiii−i−i−i−iii00000000000011-1-10000
χ6022-2-2-2-1222-12211-2-2-2-20000-1-121-2-2-2-2-1-1222221111-2-2-10000000000-11111-1-1-1-1-111−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i0000000022-2-2i−ii−iii−i−iii−i−i000000000000-1-1110000
χ612-22i−2i02220-2-2-22i−2i2i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1322200000-2-2-200002i−2i2i−2i2i−2i0002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ1320000-200002i−2i00000000000000002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002−2−i2i20000000000000000000000002−2−i2i21+i−1−i1−i−1+i
χ622-22i−2i02220-2-2-22i−2i2i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1322200000-2-2-200002i−2i2i−2i2i−2i0002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ1320000-200002i−2i00000000000000002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300−22i2−i2000000000000000000000000−22i2−i2−1−i1+i−1+i1−i
χ632-22i−2i02220-2-2-22i−2i2i−2i2i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1322200000-2-2-200002i−2i2i−2i2i−2i000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ1320000-200002i−2i0000000000000000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13002−2−i2i20000000000000000000000002−2−i2i2−1−i1+i−1+i1−i
χ642-22i−2i02220-2-2-22i−2i2i−2i2i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1322200000-2-2-200002i−2i2i−2i2i−2i000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ1320000-200002i−2i0000000000000000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−22i2−i2000000000000000000000000−22i2−i21+i−1−i1−i−1+i
χ652-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2322200000-2-2-20000−2i2i−2i2i−2i2i000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2320000-20000−2i2i0000000000000000−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23002−2i2−i20000000000000000000000002−2i2−i21−i−1+i1+i−1−i
χ662-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2322200000-2-2-20000−2i2i−2i2i−2i2i000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2320000-20000−2i2i0000000000000000−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−22−i2i2000000000000000000000000−22−i2i2−1+i1−i−1−i1+i
χ672-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2322200000-2-2-20000−2i2i−2i2i−2i2i0002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2320000-20000−2i2i00000000000000002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23002−2i2−i20000000000000000000000002−2i2−i2−1+i1−i−1−i1+i
χ682-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2322200000-2-2-20000−2i2i−2i2i−2i2i0002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2320000-20000−2i2i00000000000000002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300−22−i2i2000000000000000000000000−22−i2i21−i−1+i1+i−1−i
χ69444444-2-244-2-244-2-2-2-24444-2-214-2-211-2-21-2-211-2-2-2-211444-2-2-2-2-2-2-2-21-2-2111-2-211110000-2-2-2-20000000011111111000000000000000000000000000000000000
χ70444444-2-244-2-244-2-2-2-2-4-4-4-4-2-214-2-211-2-21-2-211-2-2-2-2114-4-4222222221-2-2111-2-211110000222200000000-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ7144444-24-24-24-2-2-244-2-20000-21-2-24-2-2-2-21-24-2-2-2-2-211-2-2-200000000001-21111-211111004400000000-2-2-2-200000000000000-2-20000111100000000000000000000
χ7244444-24-24-24-2-2-244-2-20000-21-2-24-2-2-2-21-24-2-2-2-2-211-2-2-200000000001-21111-21111100-4-400000000222200000000000000220000-1-1-1-100000000000000000000
χ7344444-2-244-2-24-2-2-2-24400001-2-2-2-24-2-21-2-2-24-2-211-2-2-2-2-2000000000011-21111-2111144000000-2-2-2-20000000000000000-2-2001111000000000000000000000000
χ7444444-2-244-2-24-2-2-2-24400001-2-2-2-24-2-21-2-2-24-2-211-2-2-2-2-2000000000011-21111-21111-4-4000000222200000000000000002200-1-1-1-1000000000000000000000000
χ754444-44-2-2-44-2-244-2-2-2-24444-2-21-422-1-1-2-2122-1-1-2-2-2-211-4-4-4-2-2-2-2-2-2-2-2122-1-1122-1-111000022220000000011-1-111-1-1000000000000000000000000000000000000
χ764444-44-2-2-44-2-244-2-2-2-2-4-4-4-4-2-21-422-1-1-2-2122-1-1-2-2-2-211-44422222222122-1-1122-1-1110000-2-2-2-200000000-1-111-1-111000000000000000000000000000000000000
χ774444-4-244-4-244-2-244440000-2-242-4-4-4-4-2-24-4-4-4-4-2-2-2-24420000000000-22222-22222-2-2000000000000000000000000000000000000000000000000000000000000
χ784444-4-24-2-4-24-2-2-244-2-20000-21-22-4222-21-2-4222-2-211-2-22000000000012-1-1-112-1-1-111000000000000−2i32i3−2i32i300000000000000000000i3−i3i3−i300000000000000000000
χ794444-4-24-2-4-24-2-2-244-2-20000-21-22-4222-21-2-4222-2-211-2-22000000000012-1-1-112-1-1-1110000000000002i3−2i32i3−2i300000000000000000000−i3i3−i3i300000000000000000000
χ804444-4-2-24-4-2-24-2-2-2-24400001-2-222-4221-2-22-42211-2-2-2-2200000000001-12-1-11-12-1-11100000000−2i32i3−2i32i300000000000000000000i3−i3i3−i3000000000000000000000000
χ814444-4-2-24-4-2-24-2-2-2-24400001-2-222-4221-2-22-42211-2-2-2-2200000000001-12-1-11-12-1-111000000002i3−2i32i3−2i300000000000000000000−i3i3−i3i3000000000000000000000000
χ8244-4-444-2-2-44-2-2-4-422224i4i−4i−4i-2-214-2-211-2-2122-1-12222-1-1-4−4i4i−2i−2i−2i−2i2i2i2i2i1-2-211122-1-1-1-100002i2i−2i−2i00000000ii−i−i−i−iii000000000000000000000000000000000000
χ8344-4-444-2-2-44-2-2-4-42222−4i−4i4i4i-2-214-2-211-2-2122-1-12222-1-1-44i−4i2i2i2i2i−2i−2i−2i−2i1-2-211122-1-1-1-10000−2i−2i2i2i00000000−i−iiiii−i−i000000000000000000000000000000000000
χ8444-4-44-244-4-24422-4-4-4-40000-2-24-24444-2-24-4-4-4-42222-4-420000000000-2-2-2-2-2-2222222000000000000000000000000000000000000000000000000000000000000
χ8544-4-44-24-2-4-24-222-4-4220000-21-2-24-2-2-2-21-2-422222-1-122200000000001-211112-1-1-1-1-100000000000023−23−232300000000000000000000−333−300000000000000000000
χ8644-4-44-24-2-4-24-222-4-4220000-21-2-24-2-2-2-21-2-422222-1-122200000000001-211112-1-1-1-1-1000000000000−232323−23000000000000000000003−3−3300000000000000000000
χ8744-4-44-2-24-4-2-242222-4-400001-2-2-2-24-2-21-2-22-422-1-122222000000000011-2111-12-1-1-1-10000000023−23−232300000000000000000000−333−3000000000000000000000000
χ8844-4-44-2-24-4-2-242222-4-400001-2-2-2-24-2-21-2-22-422-1-122222000000000011-2111-12-1-1-1-100000000−232323−23000000000000000000003−3−33000000000000000000000000
χ8944-4-4-44-2-244-2-2-4-422224i4i−4i−4i-2-21-422-1-1-2-21-2-2112222-1-144i−4i−2i−2i−2i−2i2i2i2i2i122-1-11-2-211-1-10000−2i−2i2i2i00000000iiii−i−i−i−i000000000000000000000000000000000000
χ9044-4-4-44-2-244-2-2-4-42222−4i−4i4i4i-2-21-422-1-1-2-21-2-2112222-1-14−4i4i2i2i2i2i−2i−2i−2i−2i122-1-11-2-211-1-100002i2i−2i−2i00000000−i−i−i−iiiii000000000000000000000000000000000000
χ9144-4-4-4-24-24-24-222-4-4220000-21-22-4222-21-24-2-2-222-1-122-2000000000012-1-1-11-2111-1-1004i−4i00000000−2i−2i2i2i00000000000000−2i2i0000ii−i−i00000000000000000000
χ9244-4-4-4-24-24-24-222-4-4220000-21-22-4222-21-24-2-2-222-1-122-2000000000012-1-1-11-2111-1-100−4i4i000000002i2i−2i−2i000000000000002i−2i0000−i−iii00000000000000000000
χ9344-4-4-4-2-244-2-242222-4-400001-2-222-4221-2-2-24-2-2-1-12222-200000000001-12-1-111-211-1-14i−4i000000−2i−2i2i2i0000000000000000−2i2i00ii−i−i000000000000000000000000
χ9444-4-4-4-2-244-2-242222-4-400001-2-222-4221-2-2-24-2-2-1-12222-200000000001-12-1-111-211-1-1−4i4i0000002i2i−2i−2i00000000000000002i−2i00−i−iii000000000000000000000000
χ954-44i−4i044-20-4-424i−4i4i−4i−2i2i4ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ134-2-200000-42200004i−4i−2i2i−2i2i0004ζ7+4ζ23−4ζ7−4ζ23−2ζ7−2ζ232ζ7+2ζ23−4ζ5−4ζ134ζ5+4ζ132ζ5+2ζ13−2ζ5−2ζ13-2000020000−2i2i0000000000000000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000000000000000
χ964-44i−4i044-20-4-424i−4i4i−4i−2i2i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ134-2-200000-42200004i−4i−2i2i−2i2i000−4ζ7−4ζ234ζ7+4ζ232ζ7+2ζ23−2ζ7−2ζ234ζ5+4ζ13−4ζ5−4ζ13−2ζ5−2ζ132ζ5+2ζ13-2000020000−2i2i00000000000000002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000000000000000
χ974-44i−4i04-240-42-44i−4i−2i2i4i−4i4ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ13-24-2000002-420000−2i2i4i−4i−2i2i000−2ζ7−2ζ232ζ7+2ζ234ζ7+4ζ23−4ζ7−4ζ232ζ5+2ζ13−2ζ5−2ζ13−4ζ5−4ζ134ζ5+4ζ13-2000020000−2i2i0000000000000000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000000000000000
χ984-44i−4i04-240-42-44i−4i−2i2i4i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ13-24-2000002-420000−2i2i4i−4i−2i2i0002ζ7+2ζ23−2ζ7−2ζ23−4ζ7−4ζ234ζ7+4ζ23−2ζ5−2ζ132ζ5+2ζ134ζ5+4ζ13−4ζ5−4ζ13-2000020000−2i2i00000000000000002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000000000000000
χ994-44i−4i04-2-20-4224i−4i−2i2i−2i2i4ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ13-2-210003-322-1003i−3i−2i2i−2i2ii−i000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ131003-3-1003i−3ii−i0000000000000000ζ7+ζ23−ζ7−ζ23−3ζ5−3ζ133ζ5+3ζ13−ζ5−ζ13ζ5+ζ133ζ7+3ζ23−3ζ7−3ζ23000000000000000000000000000000000000
χ1004-44i−4i04-2-20-4224i−4i−2i2i−2i2i4ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ13-2-21000-3322-100−3i3i−2i2i−2i2ii−i000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13100-33-100−3i3ii−i0000000000000000ζ7+ζ23−ζ7−ζ233ζ5+3ζ13−3ζ5−3ζ13−ζ5−ζ13ζ5+ζ13−3ζ7−3ζ233ζ7+3ζ23000000000000000000000000000000000000
χ1014-44i−4i04-2-20-4224i−4i−2i2i−2i2i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ13-2-210003-322-1003i−3i−2i2i−2i2ii−i0002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ131003-3-1003i−3ii−i0000000000000000−ζ7−ζ23ζ7+ζ233ζ5+3ζ13−3ζ5−3ζ13ζ5+ζ13−ζ5−ζ13−3ζ7−3ζ233ζ7+3ζ23000000000000000000000000000000000000
χ1024-44i−4i04-2-20-4224i−4i−2i2i−2i2i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ13-2-21000-3322-100−3i3i−2i2i−2i2ii−i0002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13100-33-100−3i3ii−i0000000000000000−ζ7−ζ23ζ7+ζ23−3ζ5−3ζ133ζ5+3ζ13ζ5+ζ13−ζ5−ζ133ζ7+3ζ23−3ζ7−3ζ23000000000000000000000000000000000000
χ1034-44i−4i0-24402-4-4−2i2i4i−4i4i−4i0000-2-240000022-40000−2i2i−2i2i4i−4i00000000000-2000020000−2i2i00000000000000000000000022−22−2i22i2000000000000000000000000−22i2−i20000
χ1044-44i−4i0-24402-4-4−2i2i4i−4i4i−4i0000-2-240000022-40000−2i2i−2i2i4i−4i00000000000-2000020000−2i2i000000000000000000000000−22222i2−2i20000000000000000000000002−2−i2i20000
χ1054-4−4i4i044-20-4-42−4i4i−4i4i2i−2i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ234-2-200000-4220000−4i4i2i−2i2i−2i000−4ζ5−4ζ134ζ5+4ζ132ζ5+2ζ13−2ζ5−2ζ134ζ7+4ζ23−4ζ7−4ζ23−2ζ7−2ζ232ζ7+2ζ23-20000200002i−2i00000000000000002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000000000000000
χ1064-4−4i4i044-20-4-42−4i4i−4i4i2i−2i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ234-2-200000-4220000−4i4i2i−2i2i−2i0004ζ5+4ζ13−4ζ5−4ζ13−2ζ5−2ζ132ζ5+2ζ13−4ζ7−4ζ234ζ7+4ζ232ζ7+2ζ23−2ζ7−2ζ23-20000200002i−2i0000000000000000−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000000000000000
χ1074-4−4i4i04-240-42-4−4i4i2i−2i−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23-24-2000002-4200002i−2i−4i4i2i−2i0002ζ5+2ζ13−2ζ5−2ζ13−4ζ5−4ζ134ζ5+4ζ13−2ζ7−2ζ232ζ7+2ζ234ζ7+4ζ23−4ζ7−4ζ23-20000200002i−2i00000000000000002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000000000000000
χ1084-4−4i4i04-240-42-4−4i4i2i−2i−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23-24-2000002-4200002i−2i−4i4i2i−2i000−2ζ5−2ζ132ζ5+2ζ134ζ5+4ζ13−4ζ5−4ζ132ζ7+2ζ23−2ζ7−2ζ23−4ζ7−4ζ234ζ7+4ζ23-20000200002i−2i0000000000000000−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000000000000000
χ1094-4−4i4i04-2-20-422−4i4i2i−2i2i−2i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23-2-210003-322-100−3i3i2i−2i2i−2i−ii0002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ231003-3-100−3i3i−ii0000000000000000−ζ5−ζ13ζ5+ζ133ζ7+3ζ23−3ζ7−3ζ23ζ7+ζ23−ζ7−ζ23−3ζ5−3ζ133ζ5+3ζ13000000000000000000000000000000000000
χ1104-4−4i4i04-2-20-422−4i4i2i−2i2i−2i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23-2-21000-3322-1003i−3i2i−2i2i−2i−ii0002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23100-33-1003i−3i−ii0000000000000000−ζ5−ζ13ζ5+ζ13−3ζ7−3ζ233ζ7+3ζ23ζ7+ζ23−ζ7−ζ233ζ5+3ζ13−3ζ5−3ζ13000000000000000000000000000000000000
χ1114-4−4i4i04-2-20-422−4i4i2i−2i2i−2i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23-2-210003-322-100−3i3i2i−2i2i−2i−ii000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ231003-3-100−3i3i−ii0000000000000000ζ5+ζ13−ζ5−ζ13−3ζ7−3ζ233ζ7+3ζ23−ζ7−ζ23ζ7+ζ233ζ5+3ζ13−3ζ5−3ζ13000000000000000000000000000000000000
χ1124-4−4i4i04-2-20-422−4i4i2i−2i2i−2i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23-2-21000-3322-1003i−3i2i−2i2i−2i−ii000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23100-33-1003i−3i−ii0000000000000000ζ5+ζ13−ζ5−ζ133ζ7+3ζ23−3ζ7−3ζ23−ζ7−ζ23ζ7+ζ23−3ζ5−3ζ133ζ5+3ζ13000000000000000000000000000000000000
χ1134-4−4i4i0-24402-4-42i−2i−4i4i−4i4i0000-2-240000022-400002i−2i2i−2i−4i4i00000000000-20000200002i−2i00000000000000000000000022−222i2−2i2000000000000000000000000−22−i2i20000
χ1144-4−4i4i0-24402-4-42i−2i−4i4i−4i4i0000-2-240000022-400002i−2i2i−2i−4i4i00000000000-20000200002i−2i000000000000000000000000−2222−2i22i20000000000000000000000002−2i2−i20000
χ11588888-4-4-48-4-4-4-4-4-4-4-4-40000222-4-4-422222-4-422222222-40000000000-122-1-1-122-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ1168888-8-4-4-4-8-4-4-4-4-4-4-4-4-40000222444-2-222244-2-222222240000000000-1-2-211-1-2-211-1-1000000000000000000000000000000000000000000000000000000000000
χ11788-8-88-4-4-4-8-4-4-44444440000222-4-4-42222244-2-2-2-2-2-2-2-240000000000-122-1-1-1-2-21111000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-8-4-4-48-4-4-44444440000222444-2-2222-4-422-2-2-2-2-2-2-40000000000-1-2-211-122-1-111000000000000000000000000000000000000000000000000000000000000
χ1198-88i−8i0-48-404-84−4i4i8i−8i−4i4i0000-42-4000004-240000−4i4i2i−2i−4i4i0000000000020000-200002i−2i000000000000000000000000000000000000000000000000000000000000
χ1208-88i−8i0-4-48044-8−4i4i−4i4i8i−8i00002-4-400000-24400002i−2i−4i4i−4i4i0000000000020000-200002i−2i000000000000000000000000000000000000000000000000000000000000
χ1218-88i−8i0-4-4-40444−4i4i−4i4i−4i4i00002220006-6-2-2-2006i−6i2i−2i2i−2i2i−2i00000000000-100-33100−3i3i−ii000000000000000000000000000000000000000000000000000000000000
χ1228-88i−8i0-4-4-40444−4i4i−4i4i−4i4i0000222000-66-2-2-200−6i6i2i−2i2i−2i2i−2i00000000000-1003-31003i−3i−ii000000000000000000000000000000000000000000000000000000000000
χ1238-8−8i8i0-48-404-844i−4i−8i8i4i−4i0000-42-4000004-2400004i−4i−2i2i4i−4i0000000000020000-20000−2i2i000000000000000000000000000000000000000000000000000000000000
χ1248-8−8i8i0-4-48044-84i−4i4i−4i−8i8i00002-4-400000-2440000−2i2i4i−4i4i−4i0000000000020000-20000−2i2i000000000000000000000000000000000000000000000000000000000000
χ1258-8−8i8i0-4-4-404444i−4i4i−4i4i−4i00002220006-6-2-2-200−6i6i−2i2i−2i2i−2i2i00000000000-100-331003i−3ii−i000000000000000000000000000000000000000000000000000000000000
χ1268-8−8i8i0-4-4-404444i−4i4i−4i4i−4i0000222000-66-2-2-2006i−6i−2i2i−2i2i−2i2i00000000000-1003-3100−3i3ii−i000000000000000000000000000000000000000000000000000000000000

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