Finite Group Databasebeta

← Group #11865648

Character table — Group #11865648

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11112222222222222222444444444444444444444444444121212121212121212121212242424242424363636361111222222222222222244444444444444444444444444412121212121212121212121224242424242436363636
order1222334444666666121212123466612121212121212121212121212121212121212121212444412121212121212124412121212888822226644446666661212121264666121212121212121212121212121212121212121212124444121212121212121244121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-111111111-1-1-1-11-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-1111111-1-111111111-1-1-1-11-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-1
χ6111111-1-111111111-1-1-1-11-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-111111111-1-111111111-1-1-1-11-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-111
χ7111111-1-111111111-1-1-1-11-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-111111111-1-111111111-1-1-1-11-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-111
χ8111111-1-111111111-1-1-1-11-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-11111-1-1111111-1-111111111-1-1-1-11-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-11111-1-1
χ922222222-2-222222222222-222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000022222222-2-222222222222-222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000000000
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χ1222222-1222222-1-1-12-1-1-1-1-12-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000022222-1222222-1-1-12-1-1-1-1-12-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000
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χ1422222-122-2-222-1-1-12-1-1-1-1-1-2-1-1-122-2-21111-2-21111-1-1-1-111110000i3i3−i3−i3i3i3−i3−i3000000000022222-122-2-222-1-1-12-1-1-1-1-1-2-1-1-122-2-21111-2-21111-1-1-1-111110000i3i3−i3−i3i3i3−i3−i30000000000
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χ1622222-1-2-22222-1-1-121111-1-2-1-1-1-2-2-2-2-1-11122-1-1-1-111111111-2-2221111-1-1-1-1000000000022222-1-2-22222-1-1-121111-1-2-1-1-1-2-2-2-2-1-11122-1-1-1-111111111-2-2221111-1-1-1-10000000000
χ1722222-1-2-2-2-222-1-1-121111-12-1-1-1-2-22211-1-1-2-211111111-1-1-1-10000−i3−i3i3i3i3i3−i3−i3000000000022222-1-2-2-2-222-1-1-121111-12-1-1-1-2-22211-1-1-2-211111111-1-1-1-10000−i3−i3i3i3i3i3−i3−i30000000000
χ1822222-1-2-2-2-222-1-1-121111-12-1-1-1-2-22211-1-1-2-211111111-1-1-1-10000i3i3−i3−i3−i3−i3i3i3000000000022222-1-2-2-2-222-1-1-121111-12-1-1-1-2-22211-1-1-2-211111111-1-1-1-10000i3i3−i3−i3−i3−i3i3i30000000000
χ192222-122222-1-1222-12222-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-100002222-122222-1-1222-12222-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-10000
χ202222-122222-1-1222-12222-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2111100002222-122222-1-1222-12222-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-211110000
χ212222-1222-2-2-1-1222-12222-1-2-1-1-1-1-111-2-2-2-2111111-1-1-1-1111100000000000000−i3i3−i3i300002222-1222-2-2-1-1222-12222-1-2-1-1-1-1-111-2-2-2-2111111-1-1-1-1111100000000000000−i3i3−i3i30000
χ222222-1222-2-2-1-1222-12222-1-2-1-1-1-1-111-2-2-2-2111111-1-1-1-1111100000000000000i3−i3i3−i300002222-1222-2-2-1-1222-12222-1-2-1-1-1-1-111-2-2-2-2111111-1-1-1-1111100000000000000i3−i3i3−i30000
χ232222-12-2-222-1-1222-1-2-2-2-2-1-2-1-1-1111122-2-2-1-1-1-1-1-1111111110000000000002-2-1-11100002222-12-2-222-1-1222-1-2-2-2-2-1-2-1-1-1111122-2-2-1-1-1-1-1-1111111110000000000002-2-1-1110000
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χ262222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-111-1-1-2-2221111111111-1-1-1-100000000000000i3−i3−i3i300002222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-111-1-1-2-2221111111111-1-1-1-100000000000000i3−i3−i3i30000
χ2722-2-2222-2002-22-2-2-222-2-2202-2-22-200000000000022-2-200000000000000000000002−22−222-2-2222-2002-22-2-2-222-2-2202-2-22-200000000000022-2-200000000000000000000002−22−2
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χ2922-2-222-22002-22-2-2-2-2-222202-2-2-22000000000000-2-22200000000000000000000002−2−2222-2-222-22002-22-2-2-2-2-222202-2-2-22000000000000-2-22200000000000000000000002−2−22
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χ312-2-2222002-2-2-2-22-22000020-22-200002-2002-222-2-2000000002i−2i002i−2i2i−2i000000000000002-2-2222002-2-2-2-22-22000020-22-200002-2002-222-2-2000000002i−2i002i−2i2i−2i00000000000000
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χ332-2-222200-22-2-2-22-22000020-22-20000-2200-22-2-22200000000002-200002-22-200000000002-2-222200-22-2-2-22-22000020-22-20000-2200-22-2-22200000000002-200002-22-20000000000
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χ352-2-222-1002-2-2-21-1123−33−3-101-110000-113−32-2-1-1113−33−333−3−32i−2i00−ii−ii−i3i3i3−i300000000002-2-222-1002-2-2-21-1123−33−3-101-110000-113−32-2-1-1113−33−333−3−32i−2i00−ii−ii−i3i3i3−i30000000000
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χ382-2-222-1002-2-2-21-112−33−33-101-110000-11−332-2-1-111−33−33−3−333−2i2i00i−ii−i−i3i3i3−i300000000002-2-222-1002-2-2-21-112−33−33-101-110000-11−332-2-1-111−33−33−3−333−2i2i00i−ii−i−i3i3i3−i30000000000
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χ1374-4-44-2-200-44222-22-223−2323−2310-11-100002-2−23232-2-1-111−33−3333−3−30000000000000000000000-444-422004-4-2-2-22-22−2323−2323-101-110000-2223−23-2211-1-13−33−3−3−3330000000000000000000000
χ1384-4-44-2-200-44222-22-2−2323−232310-11-100002-223−232-2-1-1113−33−3−3−3330000000000000000000000-444-422004-4-2-2-22-2223−2323−23-101-110000-22−2323-2211-1-1−33−3333−3−30000000000000000000000

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