Finite Group Databasebeta

← Group #13143868

Character table — Group #13143868

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size11111122222222244444444444444444466666666999999121212121212121212121212181818181818181818242424242424242424242424242424242424242424242424363636363636363636363636363636363636
order1233662226666662444446612121212121212121212333366664412121212666666666666444121212121212666612121212121212121212121212121212121212122444446612121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ5111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111
χ7111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ8111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111111111-1-1-1-1
χ91111111-1-111-1-1-1-11-1i−ii−i11-1-1ii−i−iii−i−i111111111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11i−ii−i-1-111ii−i−iii−i−i
χ101111111-1-111-1-1-1-11-1i−ii−i11-1-1ii−i−iii−i−i11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-1−ii−ii11-1-1−i−iii−i−iii
χ111111111-1-111-1-1-1-11-1−ii−ii11-1-1−i−iii−i−iii111111111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11−ii−ii-1-111−i−iii−i−iii
χ121111111-1-111-1-1-1-11-1−ii−ii11-1-1−i−iii−i−iii11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-1i−ii−i11-1-1ii−i−iii−i−i
χ131111111-1-111-1-1-1-1-11i−i−ii-1-111ii−i−i−i−iii111111111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-1i−i−ii11-1-1ii−i−i−i−iii
χ141111111-1-111-1-1-1-1-11i−i−ii-1-111ii−i−i−i−iii11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-11−iii−i-1-111−i−iiiii−i−i
χ151111111-1-111-1-1-1-1-11−iii−i-1-111−i−iiiii−i−i111111111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-1−iii−i11-1-1−i−iiiii−i−i
χ161111111-1-111-1-1-1-1-11−iii−i-1-111−i−iiiii−i−i11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-11i−i−ii-1-111ii−i−i−i−iii
χ172222222222222222222222222222222222-1-1-12-1-1-10000002-1-1-122-1-1-1-1-1-10000000002-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1000000000000000000
χ18222222222222222222222222222222222-12-1-1-12-1-1000000-12-1-1-1-122-1-1-1-1000000000-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1000000000000000000
χ19222222222222222222222222222222222-1-12-1-1-12-1000000-1-12-1-1-1-1-122-1-1000000000-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1000000000000000000
χ20222222222222222222222222222222222-1-1-12-1-1-12000000-1-1-12-1-1-1-1-1-122000000000-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12000000000000000000
χ2122222222222222222-2-2-2-22222-2-2-2-2-2-2-2-22-1-1-12-1-1-10000002-1-1-122-1-1-1-1-1-10000000002-1-1-12-1-1-1-2111-2111-2111-2111000000000000000000
χ2222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-12-1-1-12-1-1000000-12-1-1-1-122-1-1-1-1000000000-12-1-1-12-1-11-2111-2111-2111-211000000000000000000
χ2322222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1-12-1-1-12-1000000-1-12-1-1-1-1-122-1-1000000000-1-12-1-1-12-111-2111-2111-2111-21000000000000000000
χ2422222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-12-1-1-12000000-1-1-12-1-1-1-1-1-122000000000-1-1-12-1-1-12111-2111-2111-2111-2000000000000000000
χ25222222222222222-2-222-2-2-2-2-2-22222-2-2-2-22-1-1-12-1-1-10000002-1-1-122-1-1-1-1-1-1000000000-2111-21112-1-1-12-1-1-1-2111-2111000000000000000000
χ26222222222222222-2-222-2-2-2-2-2-22222-2-2-2-2-12-1-1-12-1-1000000-12-1-1-1-122-1-1-1-10000000001-2111-211-12-1-1-12-1-11-2111-211000000000000000000
χ27222222222222222-2-222-2-2-2-2-2-22222-2-2-2-2-1-12-1-1-12-1000000-1-12-1-1-1-1-122-1-100000000011-2111-21-1-12-1-1-12-111-2111-21000000000000000000
χ28222222222222222-2-222-2-2-2-2-2-22222-2-2-2-2-1-1-12-1-1-12000000-1-1-12-1-1-1-1-1-122000000000111-2111-2-1-1-12-1-1-12111-2111-2000000000000000000
χ29222222222222222-2-2-2-222-2-2-2-2-2-2-2-222222-1-1-12-1-1-10000002-1-1-122-1-1-1-1-1-1000000000-2111-2111-2111-21112-1-1-12-1-1-1000000000000000000
χ30222222222222222-2-2-2-222-2-2-2-2-2-2-2-22222-12-1-1-12-1-1000000-12-1-1-1-122-1-1-1-10000000001-2111-2111-2111-211-12-1-1-12-1-1000000000000000000
χ31222222222222222-2-2-2-222-2-2-2-2-2-2-2-22222-1-12-1-1-12-1000000-1-12-1-1-1-1-122-1-100000000011-2111-2111-2111-21-1-12-1-1-12-1000000000000000000
χ32222222222222222-2-2-2-222-2-2-2-2-2-2-2-22222-1-1-12-1-1-12000000-1-1-12-1-1-1-1-1-122000000000111-2111-2111-2111-2-1-1-12-1-1-12000000000000000000
χ332222222-2-222-2-2-2-22-22i−2i2i−2i22-2-22i2i−2i−2i2i2i−2i−2i2-1-1-12-1-1-10000002-1-1-1-2-21111110000000002-1-1-1-21112i−i−i−i−2iiii2i−i−i−i−2iiii000000000000000000
χ342222222-2-222-2-2-2-22-22i−2i2i−2i22-2-22i2i−2i−2i2i2i−2i−2i-12-1-1-12-1-1000000-12-1-111-2-21111000000000-12-1-11-211−i2i−i−ii−2iii−i2i−i−ii−2iii000000000000000000
χ352222222-2-222-2-2-2-22-22i−2i2i−2i22-2-22i2i−2i−2i2i2i−2i−2i-1-12-1-1-12-1000000-1-12-11111-2-211000000000-1-12-111-21−i−i2i−iii−2ii−i−i2i−iii−2ii000000000000000000
χ362222222-2-222-2-2-2-22-22i−2i2i−2i22-2-22i2i−2i−2i2i2i−2i−2i-1-1-12-1-1-12000000-1-1-12111111-2-2000000000-1-1-12111-2−i−i−i2iiii−2i−i−i−i2iiii−2i000000000000000000
χ372222222-2-222-2-2-2-22-2−2i2i−2i2i22-2-2−2i−2i2i2i−2i−2i2i2i2-1-1-12-1-1-10000002-1-1-1-2-21111110000000002-1-1-1-2111−2iiii2i−i−i−i−2iiii2i−i−i−i000000000000000000
χ382222222-2-222-2-2-2-22-2−2i2i−2i2i22-2-2−2i−2i2i2i−2i−2i2i2i-12-1-1-12-1-1000000-12-1-111-2-21111000000000-12-1-11-211i−2iii−i2i−i−ii−2iii−i2i−i−i000000000000000000
χ392222222-2-222-2-2-2-22-2−2i2i−2i2i22-2-2−2i−2i2i2i−2i−2i2i2i-1-12-1-1-12-1000000-1-12-11111-2-211000000000-1-12-111-21ii−2ii−i−i2i−iii−2ii−i−i2i−i000000000000000000
χ402222222-2-222-2-2-2-22-2−2i2i−2i2i22-2-2−2i−2i2i2i−2i−2i2i2i-1-1-12-1-1-12000000-1-1-12111111-2-2000000000-1-1-12111-2iii−2i−i−i−i2iiii−2i−i−i−i2i000000000000000000
χ412222222-2-222-2-2-2-2-222i−2i−2i2i-2-2222i2i−2i−2i−2i−2i2i2i2-1-1-12-1-1-10000002-1-1-1-2-2111111000000000-21112-1-1-12i−i−i−i−2iiii−2iiii2i−i−i−i000000000000000000
χ422222222-2-222-2-2-2-2-222i−2i−2i2i-2-2222i2i−2i−2i−2i−2i2i2i-12-1-1-12-1-1000000-12-1-111-2-211110000000001-211-12-1-1−i2i−i−ii−2iiii−2iii−i2i−i−i000000000000000000
χ432222222-2-222-2-2-2-2-222i−2i−2i2i-2-2222i2i−2i−2i−2i−2i2i2i-1-12-1-1-12-1000000-1-12-11111-2-21100000000011-21-1-12-1−i−i2i−iii−2iiii−2ii−i−i2i−i000000000000000000
χ442222222-2-222-2-2-2-2-222i−2i−2i2i-2-2222i2i−2i−2i−2i−2i2i2i-1-1-12-1-1-12000000-1-1-12111111-2-2000000000111-2-1-1-12−i−i−i2iiii−2iiii−2i−i−i−i2i000000000000000000
χ452222222-2-222-2-2-2-2-22−2i2i2i−2i-2-222−2i−2i2i2i2i2i−2i−2i2-1-1-12-1-1-10000002-1-1-1-2-2111111000000000-21112-1-1-1−2iiii2i−i−i−i2i−i−i−i−2iiii000000000000000000
χ462222222-2-222-2-2-2-2-22−2i2i2i−2i-2-222−2i−2i2i2i2i2i−2i−2i-12-1-1-12-1-1000000-12-1-111-2-211110000000001-211-12-1-1i−2iii−i2i−i−i−i2i−i−ii−2iii000000000000000000
χ472222222-2-222-2-2-2-2-22−2i2i2i−2i-2-222−2i−2i2i2i2i2i−2i−2i-1-12-1-1-12-1000000-1-12-11111-2-21100000000011-21-1-12-1ii−2ii−i−i2i−i−i−i2i−iii−2ii000000000000000000
χ482222222-2-222-2-2-2-2-22−2i2i2i−2i-2-222−2i−2i2i2i2i2i−2i−2i-1-1-12-1-1-12000000-1-1-12111111-2-2000000000111-2-1-1-12iii−2i−i−i−i2i−i−i−i2iiii−2i000000000000000000
χ49222222-22-2-2-222-2-200000000000000000022222222222222-2-2-2-22-22-22-22-2-22-2-2-222-2-2000000000000000000000000000000000000000000
χ50222222-22-2-2-222-2-200000000000000000022222222-2-2-2-2-2-2-2-2-2-22-22-22-22-22-2222-2-222000000000000000000000000000000000000000000
χ51222222-2-22-2-2-2-22200000000000000000022222222222222-2-2-2-2-22-22-22-22-2-22-2-2-2-222000000000000000000000000000000000000000000
χ52222222-2-22-2-2-2-22200000000000000000022222222-2-2-2-2-2-2-2-2-2-2-22-22-22-2222-22222-2-2000000000000000000000000000000000000000000
χ5333−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32333333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i320000000011−1−i32−1−i32−1+i32−1+i32000000000000111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000000000000000000000111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ5433−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32333333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3200000000-1-11+i321+i321−i321−i32000000000000-1-1-11+i321−i321+i321−i321+i321−i32000000000000000000000000-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i32
χ5533−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i320000000011−1−i32−1−i32−1+i32−1+i32000000000000111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200000000000000000000000011-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321−i321+i321−i32
χ5633−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i3200000000-1-11+i321+i321−i321−i32000000000000-1-1-11+i321−i321+i321−i321+i321−i32000000000000000000000000-1-111111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ5733−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-333-3-33+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i320000000011−1−i32−1−i32−1+i32−1+i32000000000000111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000000000000000000000-1-111-1-11+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ5833−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-333-3-33+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i3200000000-1-11+i321+i321−i321−i32000000000000-1-1-11+i321−i321+i321−i321+i321−i3200000000000000000000000011-1-111−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ5933−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-3-3-3333+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i320000000011−1−i32−1−i32−1+i32−1+i32000000000000111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000000000000000000000-1-1-1-1111+i321−i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ6033−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-3-3-3333+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i3200000000-1-11+i321+i321−i321−i32000000000000-1-1-11+i321−i321+i321−i321+i321−i320000000000000000000000001111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ6133−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i323-33i−3i3i−3i−3−3i32−3+3i323+3i323−3i323ζ113ζ7−3ζ11−3ζ73ζ113ζ7−3ζ11−3ζ70000000011−1−i32−1−i32−1+i32−1+i320000000000001-1-1−1−i32−1+i321+i321−i321+i321−i32000000000000000000000000-11i−ii−i1+i321−i32−1−i32−1+i32ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7
χ6233−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i323-33i−3i3i−3i−3−3i32−3+3i323+3i323−3i323ζ113ζ7−3ζ11−3ζ73ζ113ζ7−3ζ11−3ζ700000000-1-11+i321+i321−i321−i32000000000000-1111+i321−i32−1−i32−1+i32−1−i32−1+i320000000000000000000000001-1−ii−ii−1−i32−1+i321+i321−i32−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7
χ6333−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i323-3−3i3i−3i3i−3−3i32−3+3i323+3i323−3i32−3ζ11−3ζ73ζ113ζ7−3ζ11−3ζ73ζ113ζ70000000011−1−i32−1−i32−1+i32−1+i320000000000001-1-1−1−i32−1+i321+i321−i321+i321−i32000000000000000000000000-11−ii−ii1+i321−i32−1−i32−1+i32−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7
χ6433−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i323-3−3i3i−3i3i−3−3i32−3+3i323+3i323−3i32−3ζ11−3ζ73ζ113ζ7−3ζ11−3ζ73ζ113ζ700000000-1-11+i321+i321−i321−i32000000000000-1111+i321−i32−1−i32−1+i32−1−i32−1+i320000000000000000000000001-1i−ii−i−1−i32−1+i321+i321−i32ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7
χ6533−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333i−3i−3i3i3+3i323−3i32−3−3i32−3+3i323ζ113ζ7−3ζ11−3ζ7−3ζ11−3ζ73ζ113ζ70000000011−1−i32−1−i32−1+i32−1+i320000000000001-1-1−1−i32−1+i321+i321−i321+i321−i320000000000000000000000001-1i−i−ii−1−i32−1+i321+i321−i32ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7
χ6633−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333i−3i−3i3i3+3i323−3i32−3−3i32−3+3i323ζ113ζ7−3ζ11−3ζ7−3ζ11−3ζ73ζ113ζ700000000-1-11+i321+i321−i321−i32000000000000-1111+i321−i32−1−i32−1+i32−1−i32−1+i32000000000000000000000000-11−iii−i1+i321−i32−1−i32−1+i32−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7
χ6733−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-33−3i3i3i−3i3+3i323−3i32−3−3i32−3+3i32−3ζ11−3ζ73ζ113ζ73ζ113ζ7−3ζ11−3ζ70000000011−1−i32−1−i32−1+i32−1+i320000000000001-1-1−1−i32−1+i321+i321−i321+i321−i320000000000000000000000001-1−iii−i−1−i32−1+i321+i321−i32−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7
χ6833−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-33−3i3i3i−3i3+3i323−3i32−3−3i32−3+3i32−3ζ11−3ζ73ζ113ζ73ζ113ζ7−3ζ11−3ζ700000000-1-11+i321+i321−i321−i32000000000000-1111+i321−i32−1−i32−1+i32−1−i32−1+i32000000000000000000000000-11i−i−ii1+i321−i32−1−i32−1+i32ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7
χ6933−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32333333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i320000000011−1+i32−1+i32−1−i32−1−i32000000000000111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000000000000000000000111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ7033−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32333333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000-1-11−i321−i321+i321+i32000000000000-1-1-11−i321+i321−i321+i321−i321+i32000000000000000000000000-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i32
χ7133−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i320000000011−1+i32−1+i32−1−i32−1−i32000000000000111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3200000000000000000000000011-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−i321+i321−i321+i32
χ7233−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i3200000000-1-11−i321−i321+i321+i32000000000000-1-1-11−i321+i321−i321+i321−i321+i32000000000000000000000000-1-111111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ7333−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-333-3-33−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i320000000011−1+i32−1+i32−1−i32−1−i32000000000000111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000000000000000000000-1-111-1-11−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ7433−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-333-3-33−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i3200000000-1-11−i321−i321+i321+i32000000000000-1-1-11−i321+i321−i321+i321−i321+i3200000000000000000000000011-1-111−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ7533−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-3-3-3333−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i320000000011−1+i32−1+i32−1−i32−1−i32000000000000111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000000000000000000000-1-1-1-1111−i321+i321−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ7633−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-3-3-3333−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000-1-11−i321−i321+i321+i32000000000000-1-1-11−i321+i321−i321+i321−i321+i320000000000000000000000001111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ7733−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i323-33i−3i3i−3i−3+3i32−3−3i323−3i323+3i323ζ73ζ11−3ζ7−3ζ113ζ73ζ11−3ζ7−3ζ110000000011−1+i32−1+i32−1−i32−1−i320000000000001-1-1−1+i32−1−i321−i321+i321−i321+i32000000000000000000000000-11i−ii−i1−i321+i32−1+i32−1−i32ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11
χ7833−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i323-33i−3i3i−3i−3+3i32−3−3i323−3i323+3i323ζ73ζ11−3ζ7−3ζ113ζ73ζ11−3ζ7−3ζ1100000000-1-11−i321−i321+i321+i32000000000000-1111−i321+i32−1+i32−1−i32−1+i32−1−i320000000000000000000000001-1−ii−ii−1+i32−1−i321−i321+i32−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11
χ7933−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i323-3−3i3i−3i3i−3+3i32−3−3i323−3i323+3i32−3ζ7−3ζ113ζ73ζ11−3ζ7−3ζ113ζ73ζ110000000011−1+i32−1+i32−1−i32−1−i320000000000001-1-1−1+i32−1−i321−i321+i321−i321+i32000000000000000000000000-11−ii−ii1−i321+i32−1+i32−1−i32−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11
χ8033−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i323-3−3i3i−3i3i−3+3i32−3−3i323−3i323+3i32−3ζ7−3ζ113ζ73ζ11−3ζ7−3ζ113ζ73ζ1100000000-1-11−i321−i321+i321+i32000000000000-1111−i321+i32−1+i32−1−i32−1+i32−1−i320000000000000000000000001-1i−ii−i−1+i32−1−i321−i321+i32ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11
χ8133−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32-333i−3i−3i3i3−3i323+3i32−3+3i32−3−3i323ζ73ζ11−3ζ7−3ζ11−3ζ7−3ζ113ζ73ζ110000000011−1+i32−1+i32−1−i32−1−i320000000000001-1-1−1+i32−1−i321−i321+i321−i321+i320000000000000000000000001-1i−i−ii−1+i32−1−i321−i321+i32ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11
χ8233−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32-333i−3i−3i3i3−3i323+3i32−3+3i32−3−3i323ζ73ζ11−3ζ7−3ζ11−3ζ7−3ζ113ζ73ζ1100000000-1-11−i321−i321+i321+i32000000000000-1111−i321+i32−1+i32−1−i32−1+i32−1−i32000000000000000000000000-11−iii−i1−i321+i32−1+i32−1−i32−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11
χ8333−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32-33−3i3i3i−3i3−3i323+3i32−3+3i32−3−3i32−3ζ7−3ζ113ζ73ζ113ζ73ζ11−3ζ7−3ζ110000000011−1+i32−1+i32−1−i32−1−i320000000000001-1-1−1+i32−1−i321−i321+i321−i321+i320000000000000000000000001-1−iii−i−1+i32−1−i321−i321+i32−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11
χ8433−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32-33−3i3i3i−3i3−3i323+3i32−3+3i32−3−3i32−3ζ7−3ζ113ζ73ζ113ζ73ζ11−3ζ7−3ζ1100000000-1-11−i321−i321+i321+i32000000000000-1111−i321+i32−1+i32−1−i32−1+i32−1−i32000000000000000000000000-11i−i−ii1−i321+i32−1+i32−1−i32ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11
χ85444444-44-4-4-444-4-40000000000000000004-2-2-24-2-2-2000000-42224-4-22-22-22000000000000000000000000000000000000000000000000000
χ86444444-44-4-4-444-4-4000000000000000000-24-2-2-24-2-20000002-422-224-4-22-22000000000000000000000000000000000000000000000000000
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χ9566−3−3i3−3+3i3−3−3i3−3+3i3-66-63+3i33−3i3−3−3i3−3+3i33+3i33−3i30000000000000000000000000022−1−i3−1−i3−1+i3−1+i3000000000000-22-21+i31−i3−1−i3−1+i31+i31−i3000000000000000000000000000000000000000000
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χ9866−3−3i3−3+3i3−3−3i3−3+3i3-6-663+3i33−3i33+3i33−3i3−3−3i3−3+3i300000000000000000000000000-2-21+i31+i31−i31−i300000000000022-2−1−i3−1+i3−1−i3−1+i31+i31−i3000000000000000000000000000000000000000000
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χ10266−3+3i3−3−3i3−3+3i3−3−3i3-6-663−3i33+3i33−3i33+3i3−3+3i3−3−3i300000000000000000000000000-2-21−i31−i31+i31+i300000000000022-2−1+i3−1−i3−1+i3−1−i31−i31+i3000000000000000000000000000000000000000000
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χ1058-888-8-8000000000000000000000000000-4-48-444-84000000000000000000000000000000000000000000000000000000000000000000000
χ1068-888-8-8000000000000000000000000000-4-4-48444-8000000000000000000000000000000000000000000000000000000000000000000000
χ10712-12−6−6i3−6+6i36+6i36−6i3000000000000000000000000000000000004i−4i4ζ11−4ζ114ζ7−4ζ7000000000000000000000000000000000000000000000000000000000000000
χ10812-12−6−6i3−6+6i36+6i36−6i300000000000000000000000000000000000−4i4i−4ζ114ζ11−4ζ74ζ7000000000000000000000000000000000000000000000000000000000000000
χ10912-12−6+6i3−6−6i36−6i36+6i3000000000000000000000000000000000004i−4i4ζ7−4ζ74ζ11−4ζ11000000000000000000000000000000000000000000000000000000000000000
χ11012-12−6+6i3−6−6i36−6i36+6i300000000000000000000000000000000000−4i4i−4ζ74ζ7−4ζ114ζ11000000000000000000000000000000000000000000000000000000000000000

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