Finite Group Databasebeta

← Group #11784804

Character table — Group #11784804

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222222222222444444444444444444444444444444444444444444444444444444446666121212121212121212121212121212121212121212121212121224242424242424242424363636367272
order122244442233446666666666121212121212121212121212344446666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212122244222444444466661212121212121212121212126688121224242424224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111
χ71111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111111111-1-1
χ91111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11ii−i−i-111-1-1-11-1-1iiii−i−i−i−i111111-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i11-1-1-1111-1-1ii−i−i11-1-1iiii−i−i−i−i11-1-111i−i-1-1ii−i−i11-1-1i−i
χ101111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11ii−i−i-111-1-1-11-1-1iiii−i−i−i−i111111-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i11-1-1-1-1-1111ii−i−i11-1-1iiii−i−i−i−i11-1-1-1-1−ii11−i−iii-1-111−ii
χ111111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11ii−i−i-111-1-1-11-1-1iiii−i−i−i−i111111-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-111111-1-1-1−i−iii-1-111−i−i−i−iiiii-1-11111i−i-1-1ii−i−i-1-111−ii
χ121111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11ii−i−i-111-1-1-11-1-1iiii−i−i−i−i111111-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-1111-1-1-111−i−iii-1-111−i−i−i−iiiii-1-111-1-1−ii11−i−iii11-1-1i−i
χ131111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11−i−iii-111-1-1-11-1-1−i−i−i−iiiii111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii11-1-1-1111-1-1−i−iii11-1-1−i−i−i−iiiii11-1-111−ii-1-1−i−iii11-1-1−ii
χ141111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11−i−iii-111-1-1-11-1-1−i−i−i−iiiii111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii11-1-1-1-1-1111−i−iii11-1-1−i−i−i−iiiii11-1-1-1-1i−i11ii−i−i-1-111i−i
χ151111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11−i−iii-111-1-1-11-1-1−i−i−i−iiiii111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-111111-1-1-1ii−i−i-1-111iiii−i−i−i−i-1-11111−ii-1-1−i−iii-1-111i−i
χ161111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11−i−iii-111-1-1-11-1-1−i−i−i−iiiii111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-1111-1-1-111ii−i−i-1-111iiii−i−i−i−i-1-111-1-1i−i11ii−i−i11-1-1−ii
χ1722222222222-12222-1-122222-122222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000002202200000000000000000000-1-122-1-1-1-1-1-1000000
χ1822222222222-12222-1-122222-122222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000-2-20-2-20000000000000000000011-2-2111111000000
χ1922222222222-12222-1-122222-122222222-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111111111111111111111000002202200000000000000000000-1-1-2-2-1-11111000000
χ2022222222222-12222-1-122222-122222222-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111111111111111111100000-2-20-2-200000000000000000000112211-1-1-1-1000000
χ212222222222-1222-1-122-1-1-1-1-12-1-1-1-1-1-1-1-12222-122222-1-1-1-12-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222002002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ222222222222-1222-1-122-1-1-1-1-12-1-1-1-1-1-1-1-12222-122222-1-1-1-12-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-200-200-2-2-2-211111111111111110000000000000000
χ232222222222-1222-1-122-1-1-1-1-12-1-1-1-1-1-1-1-12222-1-2-2-2-22-1-1-1-12-1-1-11111111122-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2111111112222200200-2-2-2-2-1-1-1-111111111-1-1-1-10000000000000000
χ242222222222-1222-1-122-1-1-1-1-12-1-1-1-1-1-1-1-12222-1-2-2-2-22-1-1-1-12-1-1-11111111122-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-211111111-2-2-2-2-200-20022221111-1-1-1-1-1-1-1-111110000000000000000
χ2522222222-2-222-2-22222-2-2-2-222-2-2-2-22222222220000-222-2-2-22-2-200000000-2-2-2-2-2-222220000000000000000000000002222-200-200000022-2-200000000-2-2220000000000000000
χ2622222222-2-222-2-22222-2-2-2-222-2-2-2-22222222220000-222-2-2-22-2-200000000-2-2-2-2-2-22222000000000000000000000000-2-2-2-22002000000-2-2220000000022-2-20000000000000000
χ2722222222-2-2-12-2-2-1-1221111-121111-1-1-1-12222-10000-2-1-111-2-11133−3−333−3−3-2-21111-1-1-1-100003333−3−3−3−300003333−3−3−3−32222-200-2000000-1-11133−3−333−3−311-1-10000000000000000
χ2822222222-2-2-12-2-2-1-1221111-121111-1-1-1-12222-10000-2-1-111-2-11133−3−333−3−3-2-21111-1-1-1-100003333−3−3−3−300003333−3−3−3−3-2-2-2-2200200000011-1-1−3−333−3−333-1-1110000000000000000
χ2922222222-2-2-12-2-2-1-1221111-121111-1-1-1-12222-10000-2-1-111-2-111−3−333−3−333-2-21111-1-1-1-10000−3−3−3−333330000−3−3−3−333332222-200-2000000-1-111−3−333−3−33311-1-10000000000000000
χ3022222222-2-2-12-2-2-1-1221111-121111-1-1-1-12222-10000-2-1-111-2-111−3−333−3−333-2-21111-1-1-1-10000−3−3−3−333330000−3−3−3−33333-2-2-2-2200200000011-1-133−3−333−3−3-1-1110000000000000000
χ312222-2-2-2-22222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-22000022222222200000000-2-2-2-2-2-2-2-2-2-200000000000000000000000022-2-2200-2000000222200000000-2-2-2-20000000000000000
χ322222-2-2-2-22222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-22000022222222200000000-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-222-2002000000-2-2-2-20000000022220000000000000000
χ332222-2-2-2-222-12-2-2-1-122-1-1-1-1-1211111111-2-2-2-2-100002-1-1-1-12-1-1-1−i3−i3i3i3i3i3−i3−i3-2-2111111110000−i3−i3−i3−i3i3i3i3i30000i3i3i3i3−i3−i3−i3−i322-2-2200-2000000-1-1-1-1−i3−i3i3i3i3i3−i3−i311110000000000000000
χ342222-2-2-2-222-12-2-2-1-122-1-1-1-1-1211111111-2-2-2-2-100002-1-1-1-12-1-1-1−i3−i3i3i3i3i3−i3−i3-2-2111111110000−i3−i3−i3−i3i3i3i3i30000i3i3i3i3−i3−i3−i3−i3-2-222-20020000001111i3i3−i3−i3−i3−i3i3i3-1-1-1-10000000000000000
χ352222-2-2-2-222-12-2-2-1-122-1-1-1-1-1211111111-2-2-2-2-100002-1-1-1-12-1-1-1i3i3−i3−i3−i3−i3i3i3-2-2111111110000i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i3i3i3i3i322-2-2200-2000000-1-1-1-1i3i3−i3−i3−i3−i3i3i311110000000000000000
χ362222-2-2-2-222-12-2-2-1-122-1-1-1-1-1211111111-2-2-2-2-100002-1-1-1-12-1-1-1i3i3−i3−i3−i3−i3i3i3-2-2111111110000i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i3i3i3i3i3-2-222-20020000001111−i3−i3i3i3i3i3−i3−i3-1-1-1-10000000000000000
χ372222-2-2-2-2-2-22-12222-1-1-2-2-2-22-12222-2-2-2-21111-12i2i−2i−2i1-1-1111-1112i2i2i2i−2i−2i−2i−2i-1-1-1-1-1-11111−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii00000220-2-200000000000000000000-1-12i−2i11−i−iii000000
χ382222-2-2-2-2-2-22-12222-1-1-2-2-2-22-12222-2-2-2-21111-12i2i−2i−2i1-1-1111-1112i2i2i2i−2i−2i−2i−2i-1-1-1-1-1-11111−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii00000-2-20220000000000000000000011−2i2i-1-1ii−i−i000000
χ392222-2-2-2-2-2-22-12222-1-1-2-2-2-22-12222-2-2-2-21111-1−2i−2i2i2i1-1-1111-111−2i−2i−2i−2i2i2i2i2i-1-1-1-1-1-11111iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i00000220-2-200000000000000000000-1-1−2i2i11ii−i−i000000
χ402222-2-2-2-2-2-22-12222-1-1-2-2-2-22-12222-2-2-2-21111-1−2i−2i2i2i1-1-1111-111−2i−2i−2i−2i2i2i2i2i-1-1-1-1-1-11111iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i00000-2-202200000000000000000000112i−2i-1-1−i−iii000000
χ412222-2-2-2-2-2-2-1222-1-1221111-12-1-1-1-11111-2-2-2-2-12i2i−2i−2i-2-1-111-2-111−i−i−i−iiiii22-1-1-1-111112i2i2i2i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiii22-2-2-2002002i2i−2i−2i-1-111−i−i−i−iiiii-1-1110000000000000000
χ422222-2-2-2-2-2-2-1222-1-1221111-12-1-1-1-11111-2-2-2-2-12i2i−2i−2i-2-1-111-2-111−i−i−i−iiiii22-1-1-1-111112i2i2i2i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiii-2-222200-200−2i−2i2i2i11-1-1iiii−i−i−i−i11-1-10000000000000000
χ432222-2-2-2-2-2-2-1222-1-1221111-12-1-1-1-11111-2-2-2-2-1−2i−2i2i2i-2-1-111-2-111iiii−i−i−i−i22-1-1-1-11111−2i−2i−2i−2iiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i22-2-2-200200−2i−2i2i2i-1-111iiii−i−i−i−i-1-1110000000000000000
χ442222-2-2-2-2-2-2-1222-1-1221111-12-1-1-1-11111-2-2-2-2-1−2i−2i2i2i-2-1-111-2-111iiii−i−i−i−i22-1-1-1-11111−2i−2i−2i−2iiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i-2-222200-2002i2i−2i−2i11-1-1−i−i−i−iiiii11-1-10000000000000000
χ4522-2-22i−2i2i−2i0022002-22-20000-2-200002i2i−2i−2i2i−2i2i−2i21+i−1−i1−i−1+i02-2000-2001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000002i2i−2i−2i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i2-22i−2i0000001+i−1−i1−i−1+i2-2001+i−1−i1+i−1−i1−i−1+i1−i−1+i002i−2i0000000000000000
χ4622-2-22i−2i2i−2i0022002-22-20000-2-200002i2i−2i−2i2i−2i2i−2i21+i−1−i1−i−1+i02-2000-2001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000002i2i−2i−2i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i-22−2i2i000000−1−i1+i−1+i1−i-2200−1−i1+i−1−i1+i−1+i1−i−1+i1−i00−2i2i0000000000000000
χ4722-2-22i−2i2i−2i0022002-22-20000-2-200002i2i−2i−2i2i−2i2i−2i2−1−i1+i−1+i1−i02-2000-200−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000002i2i−2i−2i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i2-22i−2i000000−1−i1+i−1+i1−i2-200−1−i1+i−1−i1+i−1+i1−i−1+i1−i002i−2i0000000000000000
χ4822-2-22i−2i2i−2i0022002-22-20000-2-200002i2i−2i−2i2i−2i2i−2i2−1−i1+i−1+i1−i02-2000-200−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000002i2i−2i−2i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i-22−2i2i0000001+i−1−i1−i−1+i-22001+i−1−i1+i−1−i1−i−1+i1−i−1+i00−2i2i0000000000000000
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χ5022-2-22i−2i2i−2i00-1200-112-2−i3i3−i3i31-233−3−3−i−iii2i−2i2i−2i-11+i−1−i1−i−1+i0-11−i3i301−i3i3−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ70033−3−3−i−iii1+i1+i−1−i−1−i−ζ2+ζ7−ζ2+ζ7ζ2−ζ7ζ2−ζ7−ζ10+ζ11−ζ10+ζ11ζ10−ζ11ζ10−ζ111−i1−i−1+i−1+i−ζ10−ζ11−ζ10−ζ11ζ10+ζ11ζ10+ζ11−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7-22−2i2i000000−1−i1+i−1+i1−i1-1i3−i3ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7−33i−i0000000000000000
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χ1224-44-4−4i4i4i−4i00-2-2002-22-2−2i32i32i3−2i322−232323−232i−2i−2i2i−2i2i2i−2i100000-11−i3i30-1i3−i300000000003−3−33−iii−iζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7+2ζ10−2ζ11−ζ2+ζ7−2ζ10+2ζ11−ζ2+ζ7−2ζ10+2ζ11ζ2−ζ7+2ζ10−2ζ11−2ζ2+2ζ7−ζ10+ζ112ζ2−2ζ7+ζ10−ζ112ζ2−2ζ7+ζ10−ζ11−2ζ2+2ζ7−ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−2ζ2−2ζ7−ζ10−ζ112ζ2+2ζ7+ζ10+ζ112ζ2+2ζ7+ζ10+ζ11−2ζ2−2ζ7−ζ10−ζ11ζ2+ζ7+2ζ10+2ζ11−ζ2−ζ7−2ζ10−2ζ11−ζ2−ζ7−2ζ10−2ζ11ζ2+ζ7+2ζ10+2ζ110000000000000000000000000000000000000000000000
χ1234-44-4−4i4i4i−4i00-2-2002-22-22i3−2i3−2i32i32223−23−23232i−2i−2i2i−2i2i2i−2i100000-11i3−i30-1−i3i30000000000−333−3−iii−i−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ112ζ2−2ζ7+ζ10−ζ11−2ζ2+2ζ7−ζ10+ζ11−2ζ2+2ζ7−ζ10+ζ112ζ2−2ζ7+ζ10−ζ11−ζ2+ζ7−2ζ10+2ζ11ζ2−ζ7+2ζ10−2ζ11ζ2−ζ7+2ζ10−2ζ11−ζ2+ζ7−2ζ10+2ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7−2ζ10−2ζ11ζ2+ζ7+2ζ10+2ζ11ζ2+ζ7+2ζ10+2ζ11−ζ2−ζ7−2ζ10−2ζ112ζ2+2ζ7+ζ10+ζ11−2ζ2−2ζ7−ζ10−ζ11−2ζ2−2ζ7−ζ10−ζ112ζ2+2ζ7+ζ10+ζ110000000000000000000000000000000000000000000000
χ1244-44-4−4i4i4i−4i00-2-2002-22-22i3−2i3−2i32i32223−23−23232i−2i−2i2i−2i2i2i−2i100000-11i3−i30-1−i3i30000000000−333−3−iii−iζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−2ζ2+2ζ7−ζ10+ζ112ζ2−2ζ7+ζ10−ζ112ζ2−2ζ7+ζ10−ζ11−2ζ2+2ζ7−ζ10+ζ11ζ2−ζ7+2ζ10−2ζ11−ζ2+ζ7−2ζ10+2ζ11−ζ2+ζ7−2ζ10+2ζ11ζ2−ζ7+2ζ10−2ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7+2ζ10+2ζ11−ζ2−ζ7−2ζ10−2ζ11−ζ2−ζ7−2ζ10−2ζ11ζ2+ζ7+2ζ10+2ζ11−2ζ2−2ζ7−ζ10−ζ112ζ2+2ζ7+ζ10+ζ112ζ2+2ζ7+ζ10+ζ11−2ζ2−2ζ7−ζ10−ζ110000000000000000000000000000000000000000000000
χ1254-4-4444-4-44-4-244-422-4-4-2-222-24-22-22-22-22-4-444-20000-422224-2-2-2000000004-4-22-22-22-220000000000000000000000000000000000000000000000000000000000000000000000
χ1264-4-4444-4-44-4-2-24-42222-2-222-2-2-22-22-22-2222-2-2100002-1-1-1-1-211100000000-221-11-11-11-1−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i3−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i30000000000000000000000000000000000000000000000
χ1274-4-4444-4-44-4-2-24-42222-2-222-2-2-22-22-22-2222-2-2100002-1-1-1-1-211100000000-221-11-11-11-12i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i32i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i30000000000000000000000000000000000000000000000
χ1284-4-4444-4-4-444-2-44-4-422-4-4444-2-44-444-44-422-2-2-20000-222-2-22-222000000002-22-22-2-22-220000000000000000000000000000000000000000000000000000000000000000000000
χ1294-4-4444-4-4-44-24-4422-4-422-2-2-242-22-2-22-22-4-444-20000422-2-2-4-22200000000-442-22-2-22-220000000000000000000000000000000000000000000000000000000000000000000000
χ1304-4-4444-4-4-44-2-2-44222222-2-2-2-22-22-2-22-2222-2-210000-2-1-11121-1-1000000002-2-11-111-11-100003i−3i3i−3i−3i3i−3i3i00003i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000000000000000
χ1314-4-4444-4-4-44-2-2-44222222-2-2-2-22-22-2-22-2222-2-210000-2-1-11121-1-1000000002-2-11-111-11-10000−3i3i−3i3i3i−3i3i−3i0000−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000000000000000
χ1324-4-44-4-4444-44-2-44-4-42244-4-44-2-44-44-44-44-2-222-2000022222-2-2-2-2000000002-22-22-22-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1334-4-44-4-4444-4-24-4422-4-4-2-222-242-22-22-22-244-4-4-20000-422224-2-2-200000000-442-22-22-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1344-4-44-4-4444-4-2-2-442222-2-222-2-22-22-22-22-2-2-222100002-1-1-1-1-2111000000002-2-11-11-11-1100003-33-3-33-330000-33-333-33-30000000000000000000000000000000000000000000000
χ1354-4-44-4-4444-4-2-2-442222-2-222-2-22-22-22-22-2-2-222100002-1-1-1-1-2111000000002-2-11-11-11-110000-33-333-33-300003-33-3-33-330000000000000000000000000000000000000000000000
χ1364-4-44-4-444-44-244-422-4-422-2-2-24-22-222-22-244-4-4-20000422-2-2-4-222000000004-4-22-222-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1374-4-44-4-444-44-2-24-4222222-2-2-2-2-22-222-22-2-2-22210000-2-1-11121-1-100000000-221-11-1-11-1123−2323−23−33−33−33−33−2323−23233−33−33−33−30000000000000000000000000000000000000000000000
χ1384-4-44-4-444-44-2-24-4222222-2-2-2-2-22-222-22-2-2-22210000-2-1-11121-1-100000000-221-11-1-11-11−2323−23233−33−33−33−323−2323−23−33−33−33−330000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.