Finite Group Databasebeta

← Group #11864372

Character table — Group #11864372

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order122222334444666666121212123666666612121212121212121212446612121212121212121212121212121212121222224444888824242424242424244466661212121212121212222288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1
χ91111-1-111-1-111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111-1-1-11111-1-1-1-1111111-1-1-1-1111-1-1-11-111-1-11111-1-1-1-11-1111-1-1-11-111-1-111-1-11-1
χ101111-1-111-1-111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111-1-1-11111-1-1-1-1111111-1-1-1-111-11-1-1-1111-1-11111-1-1-1-1-1111-11-1-1-11-1-111-1-111-11
χ111111-1-111-1-111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111-1-1-11111-1-1-1-1111111-1-1-1-1-1-11-1111-1-1-111-1-1-1-111111-1-1-11-1111-111-1-1-1-111-11
χ121111-1-111-1-111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1111-11-1-111-1-1-1-11111-11-1-1-1111-11-1-11111-1-11-1
χ131111-1-111-1-111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11-11-1-1-1-1-1-1111111-1-1-1-11111111-1-1-11-1-1-111-1-1-1-11111-11111-1-1-11-1-1-11111-1-1-11
χ141111-1-111-1-111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11-11-1-1-1-1-1-1111111-1-1-1-1111111-11-1-1-11-1-111-1-1-1-111111-111-11-1-1-1111-1-1-1-1111-1
χ151111-1-111-1-111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11-11-1-1-1-1-1-1111111-1-1-1-11111-1-11-1111-111-1-11111-1-1-1-1-11-1-11-1111-1-1-111-1-1111-1
χ161111-1-111-1-111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11-11-1-1-1-1-1-1111111-1-1-1-11111-1-1-1111-1111-1-11111-1-1-1-11-1-1-1-1111-1111-1-111-1-1-11
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2002200000000-2-200000000002-200-2200000000000000002-200-220000000000
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2002200000000-2-20000000000-22002-20000000000000000-22002-20000000000
χ192222222-1222222-1-12-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1002200220000000000002200-1-100-1-1-1-1-1-1000000
χ202222222-1222222-1-12-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000000000-2-2001100111111000000
χ212222222-1222222-1-12-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-12-2-2-1-1-2-211-2-211-1-11111111100220022000000000000-2-200-1-100-1-11111000000
χ222222222-1222222-1-12-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-12-2-2-1-1-2-211-2-211-1-11111111100-2-200-2-20000000000002200110011-1-1-1-1000000
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χ242222222-1-2-2-2-222-1-12-1-2-2-2-2-122-1-1-1-1-1-211111111-200-1-100−i3i300−i3i311−i3−i3i3i3−i3−i3i3i300-22002-200000000000000001-100-11i3−i3i3−i3000000
χ252222222-1-2-2-2-222-1-12-1-2-2-2-2-122-1-1-1-1-1-211111111-200-1-100i3−i300i3−i311i3i3−i3−i3i3i3−i3−i3002-200-220000000000000000-11001-1i3−i3i3−i3000000
χ262222222-1-2-2-2-222-1-12-1-2-2-2-2-122-1-1-1-1-1-211111111-200-1-100i3−i300i3−i311i3i3−i3−i3i3i3−i3−i300-22002-200000000000000001-100-11−i3i3−i3i3000000
χ27222222-122222-1-122-12-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1220022002222-1-1-1-1-1-1-1-100-1-100-1-1000000000000
χ28222222-122222-1-122-12-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-200-2-200-2-2-2-21111111100110011000000000000
χ29222222-122222-1-122-12-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-2-2-1-111-2-211-2-2-1-11111111122002200-2-2-2-21111111100-1-100-1-1000000000000
χ30222222-122222-1-122-12-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-2-2-1-111-2-211-2-2-1-111111111-2-200-2-2002222-1-1-1-1-1-1-1-100110011000000000000
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χ322222-2-22222-2-222222222222-2-2-2-2222-2-2-2222222-200-2-200000000-2-20000000000-2-200220000000000000000-2-200220000000000
χ332222-2-22-122-2-222-1-12-12222-1-2-211-1-1-1-211-1-1-1-1-1-1-2001100−i3i300i3−i311−i3−i3i3i3i3i3−i3−i3002200-2-20000000000000000-1-10011−i3i3i3−i3000000
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χ352222-2-22-122-2-222-1-12-12222-1-2-211-1-1-1-211-1-1-1-1-1-1-2001100i3−i300−i3i311i3i3−i3−i3−i3−i3i3i3002200-2-20000000000000000-1-10011i3−i3−i3i3000000
χ362222-2-22-122-2-222-1-12-12222-1-2-211-1-1-1-211-1-1-1-1-1-1-2001100i3−i300−i3i311i3i3−i3−i3−i3−i3i3i300-2-2002200000000000000001100-1-1−i3i3i3−i3000000
χ372222-2-22-1-2-22222-1-12-1-2-2-2-2-1-2-211-1-1-12-1-111111122-21122-1-1-2-211-1-1-1-1-1-11111002-2002-20000000000002-200-1100-11-1-111000000
χ382222-2-22-1-2-22222-1-12-1-2-2-2-2-1-2-211-1-1-12-1-111111122-21122-1-1-2-211-1-1-1-1-1-1111100-2200-22000000000000-22001-1001-111-1-1000000
χ392222-2-22-1-2-22222-1-12-1-2-2-2-2-1-2-211-1-1-12-1-11111112-2211-2-21122-1-1-1-11111-1-1-1-1002-2002-2000000000000-2200-1100-1111-1-1000000
χ402222-2-22-1-2-22222-1-12-1-2-2-2-2-1-2-211-1-1-12-1-11111112-2211-2-21122-1-1-1-11111-1-1-1-100-2200-220000000000002-2001-1001-1-1-111000000
χ412222-2-2-12-2-222-1-122-121111-111-2-2-1-1-1-122-2-21111-12-211-1-12211-2-2-1-1-1-1-1-111112200-2-20022-2-2-1-1-1-1111100-1-10011000000000000
χ422222-2-2-12-2-222-1-122-121111-111-2-2-1-1-1-122-2-21111-12-211-1-12211-2-2-1-1-1-1-1-11111-2-2002200-2-2221111-1-1-1-1001100-1-1000000000000
χ432222-2-2-12-2-222-1-122-121111-111-2-2-1-1-1-122-2-21111-1-221111-2-2-1-122-1-11111-1-1-1-12200-2-200-2-2221111-1-1-1-100-1-10011000000000000
χ442222-2-2-12-2-222-1-122-121111-111-2-2-1-1-1-122-2-21111-1-221111-2-2-1-122-1-11111-1-1-1-1-2-200220022-2-2-1-1-1-11111001100-1-1000000000000
χ452-2-222-2222-22-2-2-2-2-22222-2-222-22-22-2-2-22-22-222-2-22002-2000000002-20000000000000000000000000000000000000000002-22-200
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χ492-2-222-2-12-22-2211-2-2-1211-1-1-1-112-2-111-1-22-2211-1-1100-113−3003−3001-13−33−33−33−32-2002-200000033−3−333−3−300-1100-11000000000000
χ502-2-222-2-12-22-2211-2-2-1211-1-1-1-112-2-111-1-22-2211-1-1100-113−3003−3001-13−33−33−33−3-2200-22000000−3−333−3−333001-1001-1000000000000
χ512-2-222-2-12-22-2211-2-2-1211-1-1-1-112-2-111-1-22-2211-1-1100-11−3300−33001-1−33−33−33−332-2002-2000000−3−333−3−33300-1100-11000000000000
χ522-2-222-2-12-22-2211-2-2-1211-1-1-1-112-2-111-1-22-2211-1-1100-11−3300−33001-1−33−33−33−33-2200-2200000033−3−333−3−3001-1001-1000000000000
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χ572-2-22-22-122-2-2211-2-2-12-1-111-11-1-22-111-1-222-2-1-1111001-13−300−33001-13−33−3−33−332-200-2200000033−3−3−3−33300-11001-1000000000000
χ582-2-22-22-122-2-2211-2-2-12-1-111-11-1-22-111-1-222-2-1-1111001-13−300−33001-13−33−3−33−33-22002-2000000−3−33333−3−3001-100-11000000000000
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χ1008-88-8008-40000-884-4-840000-4000044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-400004-44-44443−43−434320000-2-2200000−232323−23000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-400004-44-444−434343−4320000-2-220000023−23−2323000000000000000000000000000000000000000000000000000000000000000

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