Finite Group Databasebeta

← Group #10589299

Character table — Group #10589299

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111111112222222222224444444444444444666666661212121211111111222222222222444444444444444466666666121212121111111122222222222244444444444444446666666612121212
order12224444223446661212121266888812122424242424242424444444444444366612121212663121266612121212662424242412122424242424242424121212121212121212121212366612121212663121266612121212662424242412122424242424242424121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−i11iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−i11iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−i11iiii−i−i−i−iiiii−i−i−i−i11-1-1
χ61111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−i11iiii−i−i−i−i−i−i−i−iiiii-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−i11iiii−i−i−i−i−i−i−i−iiiii-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−i11iiii−i−i−i−i−i−i−i−iiiii-1-111
χ71111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii11−i−i−i−iiiiiiiii−i−i−i−i-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii11−i−i−i−iiiiiiiii−i−i−i−i-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii11−i−i−i−iiiiiiiii−i−i−i−i-1-111
χ81111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii11−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii11−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii11−i−i−i−iiiii−i−i−i−iiiii11-1-1
χ911-1-111-1-1-1111-1-1-1111-1-11-1i−ii−i1-1ii−i−iii−i−i11-1-111-1-1i−ii−i11-1-111-1-1-1111-1-1-1111-1-11-1i−ii−i1-1ii−i−iii−i−i11-1-111-1-1i−ii−i11-1-111-1-1-1111-1-1-1111-1-11-1i−ii−i1-1ii−i−iii−i−i11-1-111-1-1i−ii−i
χ1011-1-111-1-1-1111-1-1-1111-1-11-1i−ii−i1-1ii−i−iii−i−i-1-111-1-111−ii−ii11-1-111-1-1-1111-1-1-1111-1-11-1i−ii−i1-1ii−i−iii−i−i-1-111-1-111−ii−ii11-1-111-1-1-1111-1-1-1111-1-11-1i−ii−i1-1ii−i−iii−i−i-1-111-1-111−ii−ii
χ1111-1-111-1-1-1111-1-1-1111-1-11-1−ii−ii1-1−i−iii−i−iii11-1-111-1-1−ii−ii11-1-111-1-1-1111-1-1-1111-1-11-1−ii−ii1-1−i−iii−i−iii11-1-111-1-1−ii−ii11-1-111-1-1-1111-1-1-1111-1-11-1−ii−ii1-1−i−iii−i−iii11-1-111-1-1−ii−ii
χ1211-1-111-1-1-1111-1-1-1111-1-11-1−ii−ii1-1−i−iii−i−iii-1-111-1-111i−ii−i11-1-111-1-1-1111-1-1-1111-1-11-1−ii−ii1-1−i−iii−i−iii-1-111-1-111i−ii−i11-1-111-1-1-1111-1-1-1111-1-11-1−ii−ii1-1−i−iii−i−iii-1-111-1-111i−ii−i
χ1311-1-1-1-1111-111-1-1-11-1-111-111-1-111-111-1-1-1-111ii−i−i−i−iii−iii−i11-1-1-1-1111-111-1-1-11-1-111-111-1-111-111-1-1-1-111ii−i−i−i−iii−iii−i11-1-1-1-1111-111-1-1-11-1-111-111-1-111-111-1-1-1-111ii−i−i−i−iii−iii−i
χ1411-1-1-1-1111-111-1-1-11-1-111-111-1-111-111-1-1-1-111−i−iiiii−i−ii−i−ii11-1-1-1-1111-111-1-1-11-1-111-111-1-111-111-1-1-1-111−i−iiiii−i−ii−i−ii11-1-1-1-1111-111-1-1-11-1-111-111-1-111-111-1-1-1-111−i−iiiii−i−ii−i−ii
χ1511-1-1-1-1111-111-1-1-11-1-111-11-111-11-1-1-11111-1-1ii−i−i−i−iiii−i−ii11-1-1-1-1111-111-1-1-11-1-111-11-111-11-1-1-11111-1-1ii−i−i−i−iiii−i−ii11-1-1-1-1111-111-1-1-11-1-111-11-111-11-1-1-11111-1-1ii−i−i−i−iiii−i−ii
χ1611-1-1-1-1111-111-1-1-11-1-111-11-111-11-1-1-11111-1-1−i−iiiii−i−i−iii−i11-1-1-1-1111-111-1-1-11-1-111-11-111-11-1-1-11111-1-1−i−iiiii−i−i−iii−i11-1-1-1-1111-111-1-1-11-1-111-11-111-11-1-1-11111-1-1−i−iiiii−i−i−iii−i
χ172222222222-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-10000000000002222222222-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-10000000000002222222222-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1000000000000
χ182222222222-122-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1111111110000000000002222222222-122-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1111111110000000000002222222222-122-1-1-1-1-1-1-1-1-1-2-2-2-2-1-111111111000000000000
χ1922222222-2-22-2-22222222-2-20000-2-20000000000000000000022222222-2-22-2-22222222-2-20000-2-20000000000000000000022222222-2-22-2-22222222-2-20000-2-200000000000000000000
χ2022222222-2-2-1-2-2-1-1-1-1-1-1-111000011−i3i3−i3i3−i3i3−i3i300000000000022222222-2-2-1-2-2-1-1-1-1-1-1-111000011−i3i3−i3i3−i3i3−i3i300000000000022222222-2-2-1-2-2-1-1-1-1-1-1-111000011−i3i3−i3i3−i3i3−i3i3000000000000
χ2122222222-2-2-1-2-2-1-1-1-1-1-1-111000011i3−i3i3−i3i3−i3i3−i300000000000022222222-2-2-1-2-2-1-1-1-1-1-1-111000011i3−i3i3−i3i3−i3i3−i300000000000022222222-2-2-1-2-2-1-1-1-1-1-1-111000011i3−i3i3−i3i3−i3i3−i3000000000000
χ222222-2-2-2-2222-2-2222-2-2-2-2220000-2-2000000000000000000002222-2-2-2-2222-2-2222-2-2-2-2220000-2-2000000000000000000002222-2-2-2-2222-2-2222-2-2-2-2220000-2-200000000000000000000
χ232222-2-2-2-222-1-2-2-1-1-11111-1-10000113−33−3−33−330000000000002222-2-2-2-222-1-2-2-1-1-11111-1-10000113−33−3−33−330000000000002222-2-2-2-222-1-2-2-1-1-11111-1-10000113−33−3−33−33000000000000
χ242222-2-2-2-222-1-2-2-1-1-11111-1-1000011−33−333−33−30000000000002222-2-2-2-222-1-2-2-1-1-11111-1-1000011−33−333−33−30000000000002222-2-2-2-222-1-2-2-1-1-11111-1-1000011−33−333−33−3000000000000
χ252222-2-2-2-2-2-2-122-1-1-11111112i2i−2i−2i-1-1−i−i−i−iiiii0000000000002222-2-2-2-2-2-2-122-1-1-11111112i2i−2i−2i-1-1−i−i−i−iiiii0000000000002222-2-2-2-2-2-2-122-1-1-11111112i2i−2i−2i-1-1−i−i−i−iiiii000000000000
χ262222-2-2-2-2-2-2-122-1-1-1111111−2i−2i2i2i-1-1iiii−i−i−i−i0000000000002222-2-2-2-2-2-2-122-1-1-1111111−2i−2i2i2i-1-1iiii−i−i−i−i0000000000002222-2-2-2-2-2-2-122-1-1-1111111−2i−2i2i2i-1-1iiii−i−i−i−i000000000000
χ2722-2-222-2-22-22-22-2-2222-2-2-220000-220000000000000000000022-2-222-2-22-22-22-2-2222-2-2-220000-220000000000000000000022-2-222-2-22-22-22-2-2222-2-2-220000-2200000000000000000000
χ2822-2-222-2-22-2-1-2211-1-1-1111-100001-13−3−333−3−3300000000000022-2-222-2-22-2-1-2211-1-1-1111-100001-13−3−333−3−3300000000000022-2-222-2-22-2-1-2211-1-1-1111-100001-13−3−333−3−33000000000000
χ2922-2-222-2-22-2-1-2211-1-1-1111-100001-1−333−3−333−300000000000022-2-222-2-22-2-1-2211-1-1-1111-100001-1−333−3−333−300000000000022-2-222-2-22-2-1-2211-1-1-1111-100001-1−333−3−333−3000000000000
χ3022-2-222-2-2-22-12-211-1-1-111-112i−2i2i−2i-11−i−iii−i−iii00000000000022-2-222-2-2-22-12-211-1-1-111-112i−2i2i−2i-11−i−iii−i−iii00000000000022-2-222-2-2-22-12-211-1-1-111-112i−2i2i−2i-11−i−iii−i−iii000000000000
χ3122-2-222-2-2-22-12-211-1-1-111-11−2i2i−2i2i-11ii−i−iii−i−i00000000000022-2-222-2-2-22-12-211-1-1-111-11−2i2i−2i2i-11ii−i−iii−i−i00000000000022-2-222-2-2-22-12-211-1-1-111-11−2i2i−2i2i-11ii−i−iii−i−i000000000000
χ3222-2-2-2-2222-2-12-211-111-1-11-12-2-22-11-1-11111-1-100000000000022-2-2-2-2222-2-12-211-111-1-11-12-2-22-11-1-11111-1-100000000000022-2-2-2-2222-2-12-211-111-1-11-12-2-22-11-1-11111-1-1000000000000
χ3322-2-2-2-2222-2-12-211-111-1-11-1-222-2-1111-1-1-1-11100000000000022-2-2-2-2222-2-12-211-111-1-11-1-222-2-1111-1-1-1-11100000000000022-2-2-2-2222-2-12-211-111-1-11-1-222-2-1111-1-1-1-111000000000000
χ3422-2-2-2-222-222-22-2-22-2-2222-20000-220000000000000000000022-2-2-2-222-222-22-2-22-2-2222-20000-220000000000000000000022-2-2-2-222-222-22-2-22-2-2222-20000-2200000000000000000000
χ3522-2-2-2-222-22-1-2211-111-1-1-1100001-1−i3i3i3−i3i3−i3−i3i300000000000022-2-2-2-222-22-1-2211-111-1-1-1100001-1−i3i3i3−i3i3−i3−i3i300000000000022-2-2-2-222-22-1-2211-111-1-1-1100001-1−i3i3i3−i3i3−i3−i3i3000000000000
χ3622-2-2-2-222-22-1-2211-111-1-1-1100001-1i3−i3−i3i3−i3i3i3−i300000000000022-2-2-2-222-22-1-2211-111-1-1-1100001-1i3−i3−i3i3−i3i3i3−i300000000000022-2-2-2-222-22-1-2211-111-1-1-1100001-1i3−i3−i3i3−i3i3i3−i3000000000000
χ372-22-22i−2i2i−2i002002-2-22i−2i2i−2i00000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00002-22-22i−2i2i−2i002002-2-22i−2i2i−2i00000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00002-22-22i−2i2i−2i002002-2-22i−2i2i−2i00000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000
χ382-22-22i−2i2i−2i002002-2-22i−2i2i−2i0000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00002-22-22i−2i2i−2i002002-2-22i−2i2i−2i0000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00002-22-22i−2i2i−2i002002-2-22i−2i2i−2i0000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000
χ392-22-2−2i2i−2i2i002002-2-2−2i2i−2i2i00000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00002-22-2−2i2i−2i2i002002-2-2−2i2i−2i2i00000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00002-22-2−2i2i−2i2i002002-2-2−2i2i−2i2i00000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000
χ402-22-2−2i2i−2i2i002002-2-2−2i2i−2i2i0000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00002-22-2−2i2i−2i2i002002-2-2−2i2i−2i2i0000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00002-22-2−2i2i−2i2i002002-2-2−2i2i−2i2i0000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000
χ412-2-222i−2i−2i2i00200-22-22i−2i−2i2i00000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i00002-2-222i−2i−2i2i00200-22-22i−2i−2i2i00000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i00002-2-222i−2i−2i2i00200-22-22i−2i−2i2i00000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i0000
χ422-2-222i−2i−2i2i00200-22-22i−2i−2i2i0000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i00002-2-222i−2i−2i2i00200-22-22i−2i−2i2i0000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i00002-2-222i−2i−2i2i00200-22-22i−2i−2i2i0000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000
χ432-2-22−2i2i2i−2i00200-22-2−2i2i2i−2i00000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i00002-2-22−2i2i2i−2i00200-22-2−2i2i2i−2i00000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i00002-2-22−2i2i2i−2i00200-22-2−2i2i2i−2i00000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i0000
χ442-2-22−2i2i2i−2i00200-22-2−2i2i2i−2i0000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i00002-2-22−2i2i2i−2i00200-22-2−2i2i2i−2i0000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i00002-2-22−2i2i2i−2i00200-22-2−2i2i2i−2i0000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000
χ454-44-44i−4i4i−4i00-200-222−2i2i−2i2i00000000000000000000000000004-44-44i−4i4i−4i00-200-222−2i2i−2i2i00000000000000000000000000004-44-44i−4i4i−4i00-200-222−2i2i−2i2i0000000000000000000000000000
χ464-44-4−4i4i−4i4i00-200-2222i−2i2i−2i00000000000000000000000000004-44-4−4i4i−4i4i00-200-2222i−2i2i−2i00000000000000000000000000004-44-4−4i4i−4i4i00-200-2222i−2i2i−2i0000000000000000000000000000
χ474-4-444i−4i−4i4i00-2002-22−2i2i2i−2i00000000000000000000000000004-4-444i−4i−4i4i00-2002-22−2i2i2i−2i00000000000000000000000000004-4-444i−4i−4i4i00-2002-22−2i2i2i−2i0000000000000000000000000000
χ484-4-44−4i4i4i−4i00-2002-222i−2i−2i2i00000000000000000000000000004-4-44−4i4i4i−4i00-2002-222i−2i−2i2i00000000000000000000000000004-4-44−4i4i4i−4i00-2002-222i−2i−2i2i0000000000000000000000000000
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χ50111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ511111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
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χ531111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−i11iiii−i−i−i−iiiii−i−i−i−i11-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32ζ7ζ7−ζ7−ζ7−1+i32−1+i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32ζ11ζ11−ζ11−ζ11−1−i32−1−i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32
χ541111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−i11iiii−i−i−i−i−i−i−i−iiiii-1-111−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32ζ7ζ7−ζ7−ζ7−1+i32−1+i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ71−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32ζ11ζ11−ζ11−ζ11−1−i32−1−i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ111+i321+i32−1−i32−1−i32
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χ97111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ98111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ991111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ1001111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ1011111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−i11iiii−i−i−i−iiiii−i−i−i−i11-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32ζ11ζ11−ζ11−ζ11−1−i32−1−i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32ζ7ζ7−ζ7−ζ7−1+i32−1+i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32
χ1021111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−i11iiii−i−i−i−i−i−i−i−iiiii-1-111−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32ζ11ζ11−ζ11−ζ11−1−i32−1−i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ111+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32ζ7ζ7−ζ7−ζ7−1+i32−1+i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ71−i321−i32−1+i32−1+i32
χ1031111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii11−i−i−i−iiiiiiiii−i−i−i−i-1-111−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−ζ11−ζ11ζ11ζ11−1−i32−1−i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ111+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−ζ7−ζ7ζ7ζ7−1+i32−1+i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ71−i321−i32−1+i32−1+i32
χ1041111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii11−i−i−i−iiiii−i−i−i−iiiii11-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−ζ11−ζ11ζ11ζ11−1−i32−1−i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−ζ7−ζ7ζ7ζ7−1+i32−1+i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−1+i32−1+i321−i321−i32
χ10511-1-111-1-1-1111-1-1-1111-1-11-1i−ii−i1-1ii−i−iii−i−i11-1-111-1-1i−ii−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ11−ζ11ζ11−ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ7−ζ7ζ7−ζ7
χ10611-1-111-1-1-1111-1-1-1111-1-11-1i−ii−i1-1ii−i−iii−i−i-1-111-1-111−ii−ii−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ7ζ7−ζ7ζ7
χ10711-1-111-1-1-1111-1-1-1111-1-11-1−ii−ii1-1−i−iii−i−iii11-1-111-1-1−ii−ii−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ7
χ10811-1-111-1-1-1111-1-1-1111-1-11-1−ii−ii1-1−i−iii−i−iii-1-111-1-111i−ii−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ11−ζ11ζ11−ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ7−ζ7ζ7−ζ7
χ10911-1-1-1-1111-111-1-1-11-1-111-111-1-111-111-1-1-1-111ii−i−i−i−iii−iii−i−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−ζ11ζ11ζ11−ζ11−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−ζ7ζ7ζ7−ζ7
χ11011-1-1-1-1111-111-1-1-11-1-111-111-1-111-111-1-1-1-111−i−iiiii−i−ii−i−ii−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11ζ11−ζ11−ζ11ζ11−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7−ζ7−ζ7ζ7
χ11111-1-1-1-1111-111-1-1-11-1-111-11-111-11-1-1-11111-1-1ii−i−i−i−iiii−i−ii−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ11−ζ11ζ11−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7
χ11211-1-1-1-1111-111-1-1-11-1-111-11-111-11-1-1-11111-1-1−i−iiiii−i−i−iii−i−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11ζ11ζ11−ζ11−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ7ζ7−ζ7
χ1132222222222-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000
χ1142222222222-122-1-1-1-1-1-1-1-1-1-2-2-2-2-1-111111111000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000
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χ1424-44-4−4i4i−4i4i00-200-2222i−2i2i−2i0000000000000000000000000000−2−2i32+2i3−2−2i32+2i3−4ζ114ζ11−4ζ114ζ11001+i3001+i3−1−i3−1−i32ζ11−2ζ112ζ11−2ζ110000000000000000000000000000−2+2i32−2i3−2+2i32−2i3−4ζ74ζ7−4ζ74ζ7001−i3001−i3−1+i3−1+i32ζ7−2ζ72ζ7−2ζ70000000000000000000000000000
χ1434-4-444i−4i−4i4i00-2002-22−2i2i2i−2i0000000000000000000000000000−2−2i32+2i32+2i3−2−2i34ζ11−4ζ11−4ζ114ζ11001+i300−1−i31+i3−1−i3−2ζ112ζ112ζ11−2ζ110000000000000000000000000000−2+2i32−2i32−2i3−2+2i34ζ7−4ζ7−4ζ74ζ7001−i300−1+i31−i3−1+i3−2ζ72ζ72ζ7−2ζ70000000000000000000000000000
χ1444-4-44−4i4i4i−4i00-2002-222i−2i−2i2i0000000000000000000000000000−2−2i32+2i32+2i3−2−2i3−4ζ114ζ114ζ11−4ζ11001+i300−1−i31+i3−1−i32ζ11−2ζ11−2ζ112ζ110000000000000000000000000000−2+2i32−2i32−2i3−2+2i3−4ζ74ζ74ζ7−4ζ7001−i300−1+i31−i3−1+i32ζ7−2ζ7−2ζ72ζ70000000000000000000000000000

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