Finite Group Databasebeta

← Group #11784473

Character table — Group #11784473

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111222222222244444444444412121212121212121212121218181818111122222222224444444444441212121212121212121212121818181811112222222222444444444444121212121212121212121212181818181111222222222244444444444412121212121212121212121218181818
order1222334466666636661212121212121212444412121212121212128888444412124412121212121212121212121212121212121244441212121212121212888822226644666666666612121212121212124444121212121212121288884444121244121212121212121212121212121212121212444412121212121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-11111-1-1-1-111111111111111111111111111-1-111-1-1-1-11111-1-1-1-111111111111111111111111111-1-111-1-1-1-11111-1-1-1-111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51-11-111-11-1-111-1-11-1-1111-1-111-1-1i−ii−iii−i−iii−i−i11-1-11-11-111-11-1-111-1-11-1-1111-1-111-1-1i−ii−iii−i−iii−i−i11-1-11-11-111-11-1-111-1-11-1-1111-1-111-1-1i−ii−iii−i−iii−i−i11-1-11-11-111-11-1-111-1-11-1-1111-1-111-1-1i−ii−iii−i−iii−i−i11-1-1
χ61-11-111-11-1-111-1-11-1-1111-1-111-1-1i−i−iiii−i−i−i−iii-1-1111-11-111-11-1-111-1-11-1-1111-1-111-1-1i−i−iiii−i−i−i−iii-1-1111-11-111-11-1-111-1-11-1-1111-1-111-1-1i−i−iiii−i−i−i−iii-1-1111-11-111-11-1-111-1-11-1-1111-1-111-1-1i−i−iiii−i−i−i−iii-1-111
χ71-11-111-11-1-111-1-11-1-1111-1-111-1-1−iii−i−i−iiiii−i−i-1-1111-11-111-11-1-111-1-11-1-1111-1-111-1-1−iii−i−i−iiiii−i−i-1-1111-11-111-11-1-111-1-11-1-1111-1-111-1-1−iii−i−i−iiiii−i−i-1-1111-11-111-11-1-111-1-11-1-1111-1-111-1-1−iii−i−i−iiiii−i−i-1-111
χ81-11-111-11-1-111-1-11-1-1111-1-111-1-1−ii−ii−i−iii−i−iii11-1-11-11-111-11-1-111-1-11-1-1111-1-111-1-1−ii−ii−i−iii−i−iii11-1-11-11-111-11-1-111-1-11-1-1111-1-111-1-1−ii−ii−i−iii−i−iii11-1-11-11-111-11-1-111-1-11-1-1111-1-111-1-1−ii−ii−i−iii−i−iii11-1-1
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χ1122222-1222-12-12-1-1-1-1-12-12-1-1-1-1-100-2-200001111000022222-1222-12-12-1-1-1-1-12-12-1-1-1-1-100-2-200001111000022222-1222-12-12-1-1-1-1-12-12-1-1-1-1-100-2-200001111000022222-1222-12-12-1-1-1-1-12-12-1-1-1-1-100-2-2000011110000
χ1222222-1-2-22-12-12-1-1-1-1-1-21-21111100000000−i3i3−i3i3000022222-1-2-22-12-12-1-1-1-1-1-21-21111100000000−i3i3−i3i3000022222-1-2-22-12-12-1-1-1-1-1-21-21111100000000−i3i3−i3i3000022222-1-2-22-12-12-1-1-1-1-1-21-21111100000000−i3i3−i3i30000
χ1322222-1-2-22-12-12-1-1-1-1-1-21-21111100000000i3−i3i3−i3000022222-1-2-22-12-12-1-1-1-1-1-21-21111100000000i3−i3i3−i3000022222-1-2-22-12-12-1-1-1-1-1-21-21111100000000i3−i3i3−i3000022222-1-2-22-12-12-1-1-1-1-1-21-21111100000000i3−i3i3−i30000
χ142222-1222-12-12-12-1-1-1-1-12-12-1-1-1-12200-1-1-1-1000000002222-1222-12-12-12-1-1-1-1-12-12-1-1-1-12200-1-1-1-1000000002222-1222-12-12-12-1-1-1-1-12-12-1-1-1-12200-1-1-1-1000000002222-1222-12-12-12-1-1-1-1-12-12-1-1-1-12200-1-1-1-100000000
χ152222-1222-12-12-12-1-1-1-1-12-12-1-1-1-1-2-2001111000000002222-1222-12-12-12-1-1-1-1-12-12-1-1-1-1-2-2001111000000002222-1222-12-12-12-1-1-1-1-12-12-1-1-1-1-2-2001111000000002222-1222-12-12-12-1-1-1-1-12-12-1-1-1-1-2-200111100000000
χ162222-12-2-2-12-12-12-1-1-1-11-21-211110000−i3i3−i3i3000000002222-12-2-2-12-12-12-1-1-1-11-21-211110000−i3i3−i3i3000000002222-12-2-2-12-12-12-1-1-1-11-21-211110000−i3i3−i3i3000000002222-12-2-2-12-12-12-1-1-1-11-21-211110000−i3i3−i3i300000000
χ172222-12-2-2-12-12-12-1-1-1-11-21-211110000i3−i3i3−i3000000002222-12-2-2-12-12-12-1-1-1-11-21-211110000i3−i3i3−i3000000002222-12-2-2-12-12-12-1-1-1-11-21-211110000i3−i3i3−i3000000002222-12-2-2-12-12-12-1-1-1-11-21-211110000i3−i3i3−i300000000
χ1822-2-2220022-2-2-2-222-2-2000000000000000000002−22−222-2-2220022-2-2-2-222-2-2000000000000000000002−22−222-2-2220022-2-2-2-222-2-2000000000000000000002−22−222-2-2220022-2-2-2-222-2-2000000000000000000002−22−2
χ1922-2-2220022-2-2-2-222-2-200000000000000000000−22−2222-2-2220022-2-2-2-222-2-200000000000000000000−22−2222-2-2220022-2-2-2-222-2-200000000000000000000−22−2222-2-2220022-2-2-2-222-2-200000000000000000000−22−22
χ202-22-2222-2-2-222-2-22-2-22-2-222-2-22200000000000000002-22-2222-2-2-222-2-22-2-22-2-222-2-22200000000000000002-22-2222-2-2-222-2-22-2-22-2-222-2-22200000000000000002-22-2222-2-2-222-2-22-2-22-2-222-2-2220000000000000000
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χ222-22-22-12-2-212-1-21-111-1-212-111-1-100000000−333−300002-22-22-12-2-212-1-21-111-1-212-111-1-100000000−333−300002-22-22-12-2-212-1-21-111-1-212-111-1-100000000−333−300002-22-22-12-2-212-1-21-111-1-212-111-1-100000000−333−30000
χ232-22-22-1-22-212-1-21-111-12-1-21-1-111002i−2i0000−i−iii00002-22-22-1-22-212-1-21-111-12-1-21-1-111002i−2i0000−i−iii00002-22-22-1-22-212-1-21-111-12-1-21-1-111002i−2i0000−i−iii00002-22-22-1-22-212-1-21-111-12-1-21-1-111002i−2i0000−i−iii0000
χ242-22-22-1-22-212-1-21-111-12-1-21-1-11100−2i2i0000ii−i−i00002-22-22-1-22-212-1-21-111-12-1-21-1-11100−2i2i0000ii−i−i00002-22-22-1-22-212-1-21-111-12-1-21-1-11100−2i2i0000ii−i−i00002-22-22-1-22-212-1-21-111-12-1-21-1-11100−2i2i0000ii−i−i0000
χ252-22-2-122-21-2-121-2-111-11-2-1211-1-100003−3−33000000002-22-2-122-21-2-121-2-111-11-2-1211-1-100003−3−33000000002-22-2-122-21-2-121-2-111-11-2-1211-1-100003−3−33000000002-22-2-122-21-2-121-2-111-11-2-1211-1-100003−3−3300000000
χ262-22-2-122-21-2-121-2-111-11-2-1211-1-10000−333−3000000002-22-2-122-21-2-121-2-111-11-2-1211-1-10000−333−3000000002-22-2-122-21-2-121-2-111-11-2-1211-1-10000−333−3000000002-22-2-122-21-2-121-2-111-11-2-1211-1-10000−333−300000000
χ272-22-2-12-221-2-121-2-111-1-121-2-1-1112i−2i00−i−iii000000002-22-2-12-221-2-121-2-111-1-121-2-1-1112i−2i00−i−iii000000002-22-2-12-221-2-121-2-111-1-121-2-1-1112i−2i00−i−iii000000002-22-2-12-221-2-121-2-111-1-121-2-1-1112i−2i00−i−iii00000000
χ282-22-2-12-221-2-121-2-111-1-121-2-1-111−2i2i00ii−i−i000000002-22-2-12-221-2-121-2-111-1-121-2-1-111−2i2i00ii−i−i000000002-22-2-12-221-2-121-2-111-1-121-2-1-111−2i2i00ii−i−i000000002-22-2-12-221-2-121-2-111-1-121-2-1-111−2i2i00ii−i−i00000000
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χ314444-2-244-2-2-2-2-2-21111-2-2-2-2111100000000000000004444-2-244-2-2-2-2-2-21111-2-2-2-2111100000000000000004444-2-244-2-2-2-2-2-21111-2-2-2-2111100000000000000004444-2-244-2-2-2-2-2-21111-2-2-2-211110000000000000000
χ324444-2-2-4-4-2-2-2-2-2-211112222-1-1-1-100000000000000004444-2-2-4-4-2-2-2-2-2-211112222-1-1-1-100000000000000004444-2-2-4-4-2-2-2-2-2-211112222-1-1-1-100000000000000004444-2-2-4-4-2-2-2-2-2-211112222-1-1-1-10000000000000000
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χ481-11-111-11-1-111-1-11-1-1111-1-111-1-1i−i−iiii−i−i−i−iii-1-111i−ii−iii−ii−i−iii−i−ii−i−iiii−i−iii−i−i-111-1-1-11111-1-1−i−iii-11-11-1-11-111-1-111-111-1-1-111-1-111−iii−i−i−iiiii−i−i11-1-1−ii−ii−i−ii−iii−i−iii−iii−i−i−iii−i−iii1-1-1111-1-1-1-111ii−i−i
χ491-11-111-11-1-111-1-11-1-1111-1-111-1-1−iii−i−i−iiiii−i−i-1-111i−ii−iii−ii−i−iii−i−ii−i−iiii−i−iii−i−i1-1-1111-1-1-1-111−i−iii-11-11-1-11-111-1-111-111-1-1-111-1-111i−i−iiii−i−i−i−iii11-1-1−ii−ii−i−ii−iii−i−iii−iii−i−i−iii−i−iii-111-1-1-11111-1-1ii−i−i
χ501-11-111-11-1-111-1-11-1-1111-1-111-1-1−ii−ii−i−iii−i−iii11-1-1i−ii−iii−ii−i−iii−i−ii−i−iiii−i−iii−i−i1-11-111-1-111-1-1ii−i−i-11-11-1-11-111-1-111-111-1-1-111-1-111i−ii−iii−i−iii−i−i-1-111−ii−ii−i−ii−iii−i−iii−iii−i−i−iii−i−iii-11-11-1-111-1-111−i−iii
χ51222222-2-22222222222-2-2-2-2-2-2-2-200000000000000002i2i2i2i2i2i−2i−2i2i2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i0000000000000000-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2222222220000000000000000−2i−2i−2i−2i−2i−2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i0000000000000000
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χ1512-22-2-122-21-2-121-2-111-11-2-1211-1-100003−3−3300000000−2i2i−2i2ii−2i−2i2i−i2ii−2i−i2ii−i−ii−i2ii−2i−i−iii0000−i3i3i3−i300000000-22-221-2-22-121-2-121-1-11-121-2-1-1110000−333−3000000002i−2i2i−2i−i2i2i−2ii−2i−i2ii−2i−iii−ii−2i−i2iii−i−i0000i3−i3−i3i300000000
χ1522-22-2-122-21-2-121-2-111-11-2-1211-1-10000−333−300000000−2i2i−2i2ii−2i−2i2i−i2ii−2i−i2ii−i−ii−i2ii−2i−i−iii0000i3−i3−i3i300000000-22-221-2-22-121-2-121-1-11-121-2-1-11100003−3−33000000002i−2i2i−2i−i2i2i−2ii−2i−i2ii−2i−iii−ii−2i−i2iii−i−i0000−i3i3i3−i300000000
χ1532-22-2-12-221-2-121-2-111-1-121-2-1-1112i−2i00−i−iii00000000−2i2i−2i2ii−2i2i−2i−i2ii−2i−i2ii−i−iii−2i−i2iii−i−i2-200-1-11100000000-22-221-22-2-121-2-121-1-111-2-1211-1-1−2i2i00ii−i−i000000002i−2i2i−2i−i2i−2i2ii−2i−i2ii−2i−iii−i−i2ii−2i−i−iii-220011-1-100000000
χ1542-22-2-12-221-2-121-2-111-1-121-2-1-111−2i2i00ii−i−i00000000−2i2i−2i2ii−2i2i−2i−i2ii−2i−i2ii−i−iii−2i−i2iii−i−i-220011-1-100000000-22-221-22-2-121-2-121-1-111-2-1211-1-12i−2i00−i−iii000000002i−2i2i−2i−i2i−2i2ii−2i−i2ii−2i−iii−i−i2ii−2i−i−iii2-200-1-11100000000
χ1552-2-222200-2-2-2-2222-22-2000000000000000000002−2−22−2i2i2i−2i−2i−2i002i2i2i2i−2i−2i−2i2i−2i2i00000000000000000000−i2i2i2−i2-222-2-2-2002222-2-2-22-2200000000000000000000−222−22i−2i−2i2i2i2i00−2i−2i−2i−2i2i2i2i−2i2i−2i00000000000000000000i2−i2−i2i2
χ1562-2-222200-2-2-2-2222-22-200000000000000000000−222−2−2i2i2i−2i−2i−2i002i2i2i2i−2i−2i−2i2i−2i2i00000000000000000000i2−i2−i2i2-222-2-2-2002222-2-2-22-22000000000000000000002−2−222i−2i−2i2i2i2i00−2i−2i−2i−2i2i2i2i−2i2i−2i00000000000000000000−i2i2i2−i2
χ1574444-2-244-2-2-2-2-2-21111-2-2-2-211110000000000000000−4i−4i−4i−4i2i2i−4i−4i2i2i2i2i2i2i−i−i−i−i2i2i2i2i−i−i−i−i0000000000000000-4-4-4-422-4-4222222-1-1-1-12222-1-1-1-100000000000000004i4i4i4i−2i−2i4i4i−2i−2i−2i−2i−2i−2iiiii−2i−2i−2i−2iiiii0000000000000000
χ1584444-2-2-4-4-2-2-2-2-2-211112222-1-1-1-10000000000000000−4i−4i−4i−4i2i2i4i4i2i2i2i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii0000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-2111100000000000000004i4i4i4i−2i−2i−4i−4i−2i−2i−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i0000000000000000
χ15944-4-44-2004-2-42-42-2-222000000000000000000000000−4i−4i4i4i−4i2i00−4i2i4i−2i4i−2i2i2i−2i−2i000000000000000000000000-4-444-4200-424-24-222-2-20000000000000000000000004i4i−4i−4i4i−2i004i−2i−4i2i−4i2i−2i−2i2i2i000000000000000000000000
χ16044-4-4-2400-242-42-4-2-222000000000000000000000000−4i−4i4i4i2i−4i002i−4i−2i4i−2i4i2i2i−2i−2i000000000000000000000000-4-4442-4002-4-24-2422-2-20000000000000000000000004i4i−4i−4i−2i4i00−2i4i2i−4i2i−4i−2i−2i2i2i000000000000000000000000
χ16144-4-4-2-200-2-2222211-1-100003i−3i3i−3i0000000000000000−4i−4i4i4i2i2i002i2i−2i−2i−2i−2i−i−iii00003-33-30000000000000000-4-444220022-2-2-2-2-1-1110000−3i3i−3i3i00000000000000004i4i−4i−4i−2i−2i00−2i−2i2i2i2i2iii−i−i0000-33-330000000000000000
χ16244-4-4-2-200-2-2222211-1-10000−3i3i−3i3i0000000000000000−4i−4i4i4i2i2i002i2i−2i−2i−2i−2i−i−iii0000-33-330000000000000000-4-444220022-2-2-2-2-1-11100003i−3i3i−3i00000000000000004i4i−4i−4i−2i−2i00−2i−2i2i2i2i2iii−i−i00003-33-30000000000000000
χ1634-44-4-2-24-422-2-2221-1-1122-2-2-1-1110000000000000000−4i4i−4i4i2i2i−4i4i−2i−2i2i2i−2i−2i−iii−i−2i−2i2i2iii−i−i0000000000000000-44-4422-44-2-222-2-2-111-1-2-22211-1-100000000000000004i−4i4i−4i−2i−2i4i−4i2i2i−2i−2i2i2ii−i−ii2i2i−2i−2i−i−iii0000000000000000
χ1644-44-4-2-2-4422-2-2221-1-11-2-22211-1-10000000000000000−4i4i−4i4i2i2i4i−4i−2i−2i2i2i−2i−2i−iii−i2i2i−2i−2i−i−iii0000000000000000-44-44224-4-2-222-2-2-111-122-2-2-1-11100000000000000004i−4i4i−4i−2i−2i−4i4i2i2i−2i−2i2i2ii−i−ii−2i−2i2i2iii−i−i0000000000000000
χ1654-4-444-200-42-424-2-22-22000000000000000000000000−4i4i4i−4i−4i2i004i−2i4i−2i−4i2i2i−2i2i−2i000000000000000000000000-444-4-42004-24-2-422-22-20000000000000000000000004i−4i−4i4i4i−2i00−4i2i−4i2i4i−2i−2i2i−2i2i000000000000000000000000
χ1664-4-44-24002-42-4-24-22-22000000000000000000000000−4i4i4i−4i2i−4i00−2i4i−2i4i2i−4i2i−2i2i−2i000000000000000000000000-444-42-400-24-242-42-22-20000000000000000000000004i−4i−4i4i−2i4i002i−4i2i−4i−2i4i−2i2i−2i2i000000000000000000000000
χ1674-4-44-2-2002222-2-21-11-100003i−3i−3i3i0000000000000000−4i4i4i−4i2i2i00−2i−2i−2i−2i2i2i−ii−ii00003-3-330000000000000000-444-42200-2-2-2-222-11-110000−3i3i3i−3i00000000000000004i−4i−4i4i−2i−2i002i2i2i2i−2i−2ii−ii−i0000-333-30000000000000000
χ1684-4-44-2-2002222-2-21-11-10000−3i3i3i−3i0000000000000000−4i4i4i−4i2i2i00−2i−2i−2i−2i2i2i−ii−ii0000-333-30000000000000000-444-42200-2-2-2-222-11-1100003i−3i−3i3i00000000000000004i−4i−4i4i−2i−2i002i2i2i2i−2i−2ii−ii−i00003-3-330000000000000000

Here i is the imaginary unit (i² = −1).