Finite Group Databasebeta

← Group #11721828

Character table — Group #11721828

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124
size1111112226666666666666666181818181818111111222666666666666666618181818181811111122266666666666666661818181818181111112226666666666666666181818181818
order123366266333366666666666624661212441212121241212121212121212121212121212121212124412121212226666266666666666666666624661212441212121241212121212121212121212121212121212124412121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1
χ3111111-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1111111-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1111111-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1111111-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1
χ4111111-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111111111-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111111111-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111111111-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111
χ52222222222-1-1-12-1-1-122-1-1-1-1-1-10000002222222222-1-1-12-1-1-122-1-1-1-1-1-10000002222222222-1-1-12-1-1-122-1-1-1-1-1-10000002222222222-1-1-12-1-1-122-1-1-1-1-1-1000000
χ6222222222-12-1-1-12-1-1-1-122-1-1-1-1000000222222222-12-1-1-12-1-1-1-122-1-1-1-1000000222222222-12-1-1-12-1-1-1-122-1-1-1-1000000222222222-12-1-1-12-1-1-1-122-1-1-1-1000000
χ7222222222-1-12-1-1-12-1-1-1-1-122-1-1000000222222222-1-12-1-1-12-1-1-1-1-122-1-1000000222222222-1-12-1-1-12-1-1-1-1-122-1-1000000222222222-1-12-1-1-12-1-1-1-1-122-1-1000000
χ8222222222-1-1-12-1-1-12-1-1-1-1-1-122000000222222222-1-1-12-1-1-12-1-1-1-1-1-122000000222222222-1-1-12-1-1-12-1-1-1-1-1-122000000222222222-1-1-12-1-1-12-1-1-1-1-1-122000000
χ9222222-2-2-22-1-1-12-1-1-1-2-2111111000000222222-2-2-22-1-1-12-1-1-1-2-2111111000000222222-2-2-22-1-1-12-1-1-1-2-2111111000000222222-2-2-22-1-1-12-1-1-1-2-2111111000000
χ10222222-2-2-2-12-1-1-12-1-111-2-21111000000222222-2-2-2-12-1-1-12-1-111-2-21111000000222222-2-2-2-12-1-1-12-1-111-2-21111000000222222-2-2-2-12-1-1-12-1-111-2-21111000000
χ11222222-2-2-2-1-12-1-1-12-11111-2-211000000222222-2-2-2-1-12-1-1-12-11111-2-211000000222222-2-2-2-1-12-1-1-12-11111-2-211000000222222-2-2-2-1-12-1-1-12-11111-2-211000000
χ12222222-2-2-2-1-1-12-1-1-12111111-2-2000000222222-2-2-2-1-1-12-1-1-12111111-2-2000000222222-2-2-2-1-1-12-1-1-12111111-2-2000000222222-2-2-2-1-1-12-1-1-12111111-2-2000000
χ132-222-2-20002222-2-2-2-2000000000000002-222-2-20002222-2-2-2-2000000000000002-222-2-20002222-2-2-2-2000000000000002-222-2-20002222-2-2-2-200000000000000
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χ152-222-2-20002-1-1-1-211100−i3i3−i3i3−i3i30000002-222-2-20002-1-1-1-211100−i3i3−i3i3−i3i30000002-222-2-20002-1-1-1-211100−i3i3−i3i3−i3i30000002-222-2-20002-1-1-1-211100−i3i3−i3i3−i3i3000000
χ162-222-2-2000-12-1-11-211i3−i300i3−i3−i3i30000002-222-2-2000-12-1-11-211i3−i300i3−i3−i3i30000002-222-2-2000-12-1-11-211i3−i300i3−i3−i3i30000002-222-2-2000-12-1-11-211i3−i300i3−i3−i3i3000000
χ172-222-2-2000-12-1-11-211−i3i300−i3i3i3−i30000002-222-2-2000-12-1-11-211−i3i300−i3i3i3−i30000002-222-2-2000-12-1-11-211−i3i300−i3i3i3−i30000002-222-2-2000-12-1-11-211−i3i300−i3i3i3−i3000000
χ182-222-2-2000-1-12-111-21i3−i3−i3i300i3−i30000002-222-2-2000-1-12-111-21i3−i3−i3i300i3−i30000002-222-2-2000-1-12-111-21i3−i3−i3i300i3−i30000002-222-2-2000-1-12-111-21i3−i3−i3i300i3−i3000000
χ192-222-2-2000-1-12-111-21−i3i3i3−i300−i3i30000002-222-2-2000-1-12-111-21−i3i3i3−i300−i3i30000002-222-2-2000-1-12-111-21−i3i3i3−i300−i3i30000002-222-2-2000-1-12-111-21−i3i3i3−i300−i3i3000000
χ202-222-2-2000-1-1-12111-2i3−i3i3−i3−i3i3000000002-222-2-2000-1-1-12111-2i3−i3i3−i3−i3i3000000002-222-2-2000-1-1-12111-2i3−i3i3−i3−i3i3000000002-222-2-2000-1-1-12111-2i3−i3i3−i3−i3i300000000
χ212-222-2-2000-1-1-12111-2−i3i3−i3i3i3−i3000000002-222-2-2000-1-1-12111-2−i3i3−i3i3i3−i3000000002-222-2-2000-1-1-12111-2−i3i3−i3i3i3−i3000000002-222-2-2000-1-1-12111-2−i3i3−i3i3i3−i300000000
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χ2333−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i320000000000000000-1-11−i321+i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i320000000000000000-1-11−i321+i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i320000000000000000-1-11−i321+i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i320000000000000000-1-11−i321+i321−i321+i32
χ2433−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3200000000000000001-1−1+i32−1−i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3200000000000000001-1−1+i32−1−i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3200000000000000001-1−1+i32−1−i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3200000000000000001-1−1+i32−1−i321−i321+i32
χ2533−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i320000000000000000-111−i321+i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i320000000000000000-111−i321+i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i320000000000000000-111−i321+i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i320000000000000000-111−i321+i32−1+i32−1−i32
χ2633−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32000000000000000011−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32000000000000000011−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32000000000000000011−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32000000000000000011−1−i32−1+i32−1−i32−1+i32
χ2733−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i320000000000000000-1-11+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i320000000000000000-1-11+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i320000000000000000-1-11+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i320000000000000000-1-11+i321−i321+i321−i32
χ2833−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3200000000000000001-1−1−i32−1+i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3200000000000000001-1−1−i32−1+i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3200000000000000001-1−1−i32−1+i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3200000000000000001-1−1−i32−1+i321+i321−i32
χ2933−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i320000000000000000-111+i321−i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i320000000000000000-111+i321−i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i320000000000000000-111+i321−i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i320000000000000000-111+i321−i32−1−i32−1+i32
χ306-6−3+3i3−3−3i33−3i33+3i300000000000000000000000006-6−3+3i3−3−3i33−3i33+3i300000000000000000000000006-6−3+3i3−3−3i33−3i33+3i300000000000000000000000006-6−3+3i3−3−3i33−3i33+3i30000000000000000000000000
χ316-6−3−3i3−3+3i33+3i33−3i300000000000000000000000006-6−3−3i3−3+3i33+3i33−3i300000000000000000000000006-6−3−3i3−3+3i33+3i33−3i300000000000000000000000006-6−3−3i3−3+3i33+3i33−3i30000000000000000000000000
χ321111111111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiiiiiiiiii-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−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ331111111111111111111111111-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i-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−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiii
χ34111111-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1iiiiii−i−i−iiiiiiiii−i−i−i−i−i−i−i−ii−iii−i−i-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-11-1-111−i−i−i−i−i−iiii−i−i−i−i−i−i−i−iiiiiiiii−ii−i−iii
χ35111111-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111iiiiii−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−ii−i−iii-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111111-111-1-1−i−i−i−i−i−iiii−i−i−i−i−i−i−i−iiiiiiiiii−iii−i−i
χ362222222222-1-1-12-1-1-122-1-1-1-1-1-10000002i2i2i2i2i2i2i2i2i2i−i−i−i2i−i−i−i2i2i−i−i−i−i−i−i000000-2-2-2-2-2-2-2-2-2-2111-2111-2-2111111000000−2i−2i−2i−2i−2i−2i−2i−2i−2i−2iiii−2iiii−2i−2iiiiiii000000
χ37222222222-12-1-1-12-1-1-1-122-1-1-1-10000002i2i2i2i2i2i2i2i2i−i2i−i−i−i2i−i−i−i−i2i2i−i−i−i−i000000-2-2-2-2-2-2-2-2-21-2111-21111-2-21111000000−2i−2i−2i−2i−2i−2i−2i−2i−2ii−2iiii−2iiiii−2i−2iiiii000000
χ38222222222-1-12-1-1-12-1-1-1-1-122-1-10000002i2i2i2i2i2i2i2i2i−i−i2i−i−i−i2i−i−i−i−i−i2i2i−i−i000000-2-2-2-2-2-2-2-2-211-2111-211111-2-211000000−2i−2i−2i−2i−2i−2i−2i−2i−2iii−2iiii−2iiiiii−2i−2iii000000
χ39222222222-1-1-12-1-1-12-1-1-1-1-1-1220000002i2i2i2i2i2i2i2i2i−i−i−i2i−i−i−i2i−i−i−i−i−i−i2i2i000000-2-2-2-2-2-2-2-2-2111-2111-2111111-2-2000000−2i−2i−2i−2i−2i−2i−2i−2i−2iiii−2iiii−2iiiiiii−2i−2i000000
χ40222222-2-2-22-1-1-12-1-1-1-2-21111110000002i2i2i2i2i2i−2i−2i−2i2i−i−i−i2i−i−i−i−2i−2iiiiiii000000-2-2-2-2-2-2222-2111-211122-1-1-1-1-1-1000000−2i−2i−2i−2i−2i−2i2i2i2i−2iiii−2iiii2i2i−i−i−i−i−i−i000000
χ41222222-2-2-2-12-1-1-12-1-111-2-211110000002i2i2i2i2i2i−2i−2i−2i−i2i−i−i−i2i−i−iii−2i−2iiiii000000-2-2-2-2-2-22221-2111-211-1-122-1-1-1-1000000−2i−2i−2i−2i−2i−2i2i2i2ii−2iiii−2iii−i−i2i2i−i−i−i−i000000
χ42222222-2-2-2-1-12-1-1-12-11111-2-2110000002i2i2i2i2i2i−2i−2i−2i−i−i2i−i−i−i2i−iiiii−2i−2iii000000-2-2-2-2-2-222211-2111-21-1-1-1-122-1-1000000−2i−2i−2i−2i−2i−2i2i2i2iii−2iiii−2ii−i−i−i−i2i2i−i−i000000
χ43222222-2-2-2-1-1-12-1-1-12111111-2-20000002i2i2i2i2i2i−2i−2i−2i−i−i−i2i−i−i−i2iiiiiii−2i−2i000000-2-2-2-2-2-2222111-2111-2-1-1-1-1-1-122000000−2i−2i−2i−2i−2i−2i2i2i2iiii−2iiii−2i−i−i−i−i−i−i2i2i000000
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χ462-222-2-20002-1-1-1-211100−i3i3−i3i3−i3i30000002i−2i2i2i−2i−2i0002i−i−i−i−2iiii003−33−33−3000000-22-2-222000-21112-1-1-100i3−i3i3−i3i3−i3000000−2i2i−2i−2i2i2i000−2iiii2i−i−i−i00−33−33−33000000
χ472-222-2-2000-12-1-11-211i3−i300i3−i3−i3i30000002i−2i2i2i−2i−2i000−i2i−i−ii−2iii−3300−333−3000000-22-2-2220001-211-12-1-1−i3i300−i3i3i3−i3000000−2i2i−2i−2i2i2i000i−2iii−i2i−i−i3−3003−3−33000000
χ482-222-2-2000-12-1-11-211−i3i300−i3i3i3−i30000002i−2i2i2i−2i−2i000−i2i−i−ii−2iii3−3003−3−33000000-22-2-2220001-211-12-1-1i3−i300i3−i3−i3i3000000−2i2i−2i−2i2i2i000i−2iii−i2i−i−i−3300−333−3000000
χ492-222-2-2000-1-12-111-21i3−i3−i3i300i3−i30000002i−2i2i2i−2i−2i000−i−i2i−iii−2ii−333−300−33000000-22-2-22200011-21-1-12-1−i3i3i3−i300−i3i3000000−2i2i−2i−2i2i2i000ii−2ii−i−i2i−i3−3−33003−3000000
χ502-222-2-2000-1-12-111-21−i3i3i3−i300−i3i30000002i−2i2i2i−2i−2i000−i−i2i−iii−2ii3−3−33003−3000000-22-2-22200011-21-1-12-1i3−i3−i3i300i3−i3000000−2i2i−2i−2i2i2i000ii−2ii−i−i2i−i−333−300−33000000
χ512-222-2-2000-1-1-12111-2i3−i3i3−i3−i3i3000000002i−2i2i2i−2i−2i000−i−i−i2iiii−2i−33−333−300000000-22-2-222000111-2-1-1-12−i3i3−i3i3i3−i300000000−2i2i−2i−2i2i2i000iii−2i−i−i−i2i3−33−3−3300000000
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χ105222222-2-2-2-1-1-12-1-1-12111111-2-2000000−2i−2i−2i−2i−2i−2i2i2i2iiii−2iiii−2i−i−i−i−i−i−i2i2i000000-2-2-2-2-2-2222111-2111-2-1-1-1-1-1-1220000002i2i2i2i2i2i−2i−2i−2i−i−i−i2i−i−i−i2iiiiiii−2i−2i000000
χ1062-222-2-20002222-2-2-2-200000000000000−2i2i−2i−2i2i2i000−2i−2i−2i−2i2i2i2i2i00000000000000-22-2-222000-2-2-2-22222000000000000002i−2i2i2i−2i−2i0002i2i2i2i−2i−2i−2i−2i00000000000000
χ1072-222-2-20002-1-1-1-211100i3−i3i3−i3i3−i3000000−2i2i−2i−2i2i2i000−2iiii2i−i−i−i003−33−33−3000000-22-2-222000-21112-1-1-100−i3i3−i3i3−i3i30000002i−2i2i2i−2i−2i0002i−i−i−i−2iiii00−33−33−33000000
χ1082-222-2-20002-1-1-1-211100−i3i3−i3i3−i3i3000000−2i2i−2i−2i2i2i000−2iiii2i−i−i−i00−33−33−33000000-22-2-222000-21112-1-1-100i3−i3i3−i3i3−i30000002i−2i2i2i−2i−2i0002i−i−i−i−2iiii003−33−33−3000000
χ1092-222-2-2000-12-1-11-211i3−i300i3−i3−i3i3000000−2i2i−2i−2i2i2i000i−2iii−i2i−i−i3−3003−3−33000000-22-2-2220001-211-12-1-1−i3i300−i3i3i3−i30000002i−2i2i2i−2i−2i000−i2i−i−ii−2iii−3300−333−3000000
χ1102-222-2-2000-12-1-11-211−i3i300−i3i3i3−i3000000−2i2i−2i−2i2i2i000i−2iii−i2i−i−i−3300−333−3000000-22-2-2220001-211-12-1-1i3−i300i3−i3−i3i30000002i−2i2i2i−2i−2i000−i2i−i−ii−2iii3−3003−3−33000000
χ1112-222-2-2000-1-12-111-21i3−i3−i3i300i3−i3000000−2i2i−2i−2i2i2i000ii−2ii−i−i2i−i3−3−33003−3000000-22-2-22200011-21-1-12-1−i3i3i3−i300−i3i30000002i−2i2i2i−2i−2i000−i−i2i−iii−2ii−333−300−33000000
χ1122-222-2-2000-1-12-111-21−i3i3i3−i300−i3i3000000−2i2i−2i−2i2i2i000ii−2ii−i−i2i−i−333−300−33000000-22-2-22200011-21-1-12-1i3−i3−i3i300i3−i30000002i−2i2i2i−2i−2i000−i−i2i−iii−2ii3−3−33003−3000000
χ1132-222-2-2000-1-1-12111-2i3−i3i3−i3−i3i300000000−2i2i−2i−2i2i2i000iii−2i−i−i−i2i3−33−3−3300000000-22-2-222000111-2-1-1-12−i3i3−i3i3i3−i3000000002i−2i2i2i−2i−2i000−i−i−i2iiii−2i−33−333−300000000
χ1142-222-2-2000-1-1-12111-2−i3i3−i3i3i3−i300000000−2i2i−2i−2i2i2i000iii−2i−i−i−i2i−33−333−300000000-22-2-222000111-2-1-1-12i3−i3i3−i3−i3i3000000002i−2i2i2i−2i−2i000−i−i−i2iiii−2i3−33−3−3300000000
χ11533−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32000000000000000011−1+i32−1−i32−1+i32−1−i32−3i−3i−3ζ7−3ζ11−3ζ7−3ζ11−3i−3ζ7−3ζ110000000000000000−i−i−ζ7−ζ11−ζ7−ζ11-3-33−3i323+3i323−3i323+3i32-33−3i323+3i320000000000000000-1-11−i321+i321−i321+i323i3i3ζ73ζ113ζ73ζ113i3ζ73ζ110000000000000000iiζ7ζ11ζ7ζ11
χ11633−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i320000000000000000-1-11−i321+i321−i321+i32−3i−3i−3ζ7−3ζ11−3ζ7−3ζ11−3i−3ζ7−3ζ110000000000000000iiζ7ζ11ζ7ζ11-3-33−3i323+3i323−3i323+3i32-33−3i323+3i32000000000000000011−1+i32−1−i32−1+i32−1−i323i3i3ζ73ζ113ζ73ζ113i3ζ73ζ110000000000000000−i−i−ζ7−ζ11−ζ7−ζ11
χ11733−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3200000000000000001-1−1+i32−1−i321−i321+i32−3i−3i−3ζ7−3ζ11−3ζ7−3ζ113i3ζ73ζ110000000000000000−ii−ζ7−ζ11ζ7ζ11-3-33−3i323+3i323−3i323+3i323−3+3i32−3−3i320000000000000000-111−i321+i32−1+i32−1−i323i3i3ζ73ζ113ζ73ζ11−3i−3ζ7−3ζ110000000000000000i−iζ7ζ11−ζ7−ζ11
χ11833−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i320000000000000000-111−i321+i32−1+i32−1−i32−3i−3i−3ζ7−3ζ11−3ζ7−3ζ113i3ζ73ζ110000000000000000i−iζ7ζ11−ζ7−ζ11-3-33−3i323+3i323−3i323+3i323−3+3i32−3−3i3200000000000000001-1−1+i32−1−i321−i321+i323i3i3ζ73ζ113ζ73ζ11−3i−3ζ7−3ζ110000000000000000−ii−ζ7−ζ11ζ7ζ11
χ11933−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32000000000000000011−1−i32−1+i32−1−i32−1+i32−3i−3i−3ζ11−3ζ7−3ζ11−3ζ7−3i−3ζ11−3ζ70000000000000000−i−i−ζ11−ζ7−ζ11−ζ7-3-33+3i323−3i323+3i323−3i32-33+3i323−3i320000000000000000-1-11+i321−i321+i321−i323i3i3ζ113ζ73ζ113ζ73i3ζ113ζ70000000000000000iiζ11ζ7ζ11ζ7
χ12033−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i320000000000000000-1-11+i321−i321+i321−i32−3i−3i−3ζ11−3ζ7−3ζ11−3ζ7−3i−3ζ11−3ζ70000000000000000iiζ11ζ7ζ11ζ7-3-33+3i323−3i323+3i323−3i32-33+3i323−3i32000000000000000011−1−i32−1+i32−1−i32−1+i323i3i3ζ113ζ73ζ113ζ73i3ζ113ζ70000000000000000−i−i−ζ11−ζ7−ζ11−ζ7
χ12133−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3200000000000000001-1−1−i32−1+i321+i321−i32−3i−3i−3ζ11−3ζ7−3ζ11−3ζ73i3ζ113ζ70000000000000000−ii−ζ11−ζ7ζ11ζ7-3-33+3i323−3i323+3i323−3i323−3−3i32−3+3i320000000000000000-111+i321−i32−1−i32−1+i323i3i3ζ113ζ73ζ113ζ7−3i−3ζ11−3ζ70000000000000000i−iζ11ζ7−ζ11−ζ7
χ12233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i320000000000000000-111+i321−i32−1−i32−1+i32−3i−3i−3ζ11−3ζ7−3ζ11−3ζ73i3ζ113ζ70000000000000000i−iζ11ζ7−ζ11−ζ7-3-33+3i323−3i323+3i323−3i323−3−3i32−3+3i3200000000000000001-1−1−i32−1+i321+i321−i323i3i3ζ113ζ73ζ113ζ7−3i−3ζ11−3ζ70000000000000000−ii−ζ11−ζ7ζ11ζ7
χ1236-6−3+3i3−3−3i33−3i33+3i30000000000000000000000000−6i6i−6ζ7−6ζ116ζ76ζ110000000000000000000000000-663−3i33+3i3−3+3i3−3−3i300000000000000000000000006i−6i6ζ76ζ11−6ζ7−6ζ110000000000000000000000000
χ1246-6−3−3i3−3+3i33+3i33−3i30000000000000000000000000−6i6i−6ζ11−6ζ76ζ116ζ70000000000000000000000000-663+3i33−3i3−3−3i3−3+3i300000000000000000000000006i−6i6ζ116ζ7−6ζ11−6ζ70000000000000000000000000

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