Finite Group Databasebeta

← Group #11824494

Character table — Group #11824494

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111112222222222222222444444444444444444444444446666666666666666888888888888888888121212121212121212121212121212121212121224242424242424242424363636367272
order12222222336666666666666622344446666666666612121212121212124444444412121212121212126666661212121212121212121212122244444466661212121212121212441212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-111-1-111-1-111-1-11-1
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-11-1-111-1-111-1-111-11
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-111-11
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-111-1-11111-1-11-1
χ9111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-11111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ10111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-11111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111
χ11111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111
χ12111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-111111111-1-1
χ13111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-111111111-1111-1-1-1-11111-1-1-11
χ14111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111-1-1-11111-1-1-1-1111-1
χ15111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1111-1
χ16111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-1-11
χ17222222222-1222-1-1-1-12-122-12-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122000022-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ18222222222-1222-1-1-1-12-122-12-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111122-1-1-1-12222-1-1-1-1-1-1-1-1-2-20000-2-21111111111110000000000000000
χ19222222222-1222-1-1-1-12-122-12-122-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111112222-2-2-2-21111111122-1-1-1-1-2-2-2-211111111220000-2-2-1-1-1-1-1-1-1-111110000000000000000
χ20222222222-1222-1-1-1-12-122-12-122-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-22222-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-200002211111111-1-1-1-10000000000000000
χ21222222222-1222-1-1-1-12-122-12-1-2-2-122-2-21111-1-1-1-1-1-1-1-1-1-1-1111122222222-1-1-1-1-1-1-1-1-2-2111122-2-2-1-1-1-11111-2-20000-2-21111-1-1-1-111110000000000000000
χ22222222222-1222-1-1-1-12-122-12-1-2-2-122-2-21111-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-211111111-2-2111122-2-2-1-1-1-1111122000022-1-1-1-11111-1-1-1-10000000000000000
χ23222222222-1222-1-1-1-12-122-12-1-2-2-1-2-2221111-1-1-1-1-1-1-11111-1-1-1-12222-2-2-2-211111111-2-21111-2-2221111-1-1-1-1-2-20000221111-1-1-1-1-1-1-1-10000000000000000
χ24222222222-1222-1-1-1-12-122-12-1-2-2-1-2-2221111-1-1-1-1-1-1-11111-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-2-21111-2-2221111-1-1-1-1220000-2-2-1-1-1-1111111110000000000000000
χ2522222222-12-1-1-12222-12-1-12-1222-122222222-1-1-1-1-1-1-1222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022220000000000000022-1-1-1-1-1-1-1-1000000
χ2622222222-12-1-1-12222-12-1-12-1222-122222222-1-1-1-1-1-1-1222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200000000000000-2-211111111000000
χ2722222222-12-1-1-12222-12-1-12-1222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000000000000-1-1-1-1-1-11111111111110022-2-2000000000000002-2-1-111-1-111000000
χ2822222222-12-1-1-12222-12-1-12-1222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000000000000-1-1-1-1-1-111111111111100-2-22200000000000000-2211-1-111-1-1000000
χ2922222222-12-1-1-12222-12-1-12-12-2-2-122-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-20000000000000000111111-1-111-1-1-1-1111100222200000000000000-2-2-1-1-1-11111000000
χ3022222222-12-1-1-12222-12-1-12-12-2-2-122-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-20000000000000000111111-1-111-1-1-1-1111100-2-2-2-200000000000000221111-1-1-1-1000000
χ3122222222-12-1-1-12222-12-1-12-12-2-2-1-2-222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22222000000000000000011111111-1-11111-1-1-1-10022-2-200000000000000-22-1-11111-1-1000000
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χ35222-22-2-2-22222222-2-2-2-2-2-22-2-2-2220000-2-222222-2-2-2-20000000022-2-2000000000000-22-2-222000000000000-22000000-2-22222-2-200000000000000000000
χ36222-22-2-2-22222222-2-2-2-2-2-22-2-2-2220000-2-222222-2-2-2-200000000-2-222000000000000-22-2-2220000000000002-200000022-2-2-2-22200000000000000000000
χ37222-22-2-2-22-1222-1-111-21-2-2-1-212-2-10000-1-111-1-1-1111133−3−333−3−322-2-200003333−3−3−3−32-2-1-111000033−3−333−3−32-2000000-1-111-1-11133−3−30000000000000000
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χ39222-22-2-2-22-1222-1-111-21-2-2-1-212-2-10000-1-111-1-1-11111−3−333−3−33322-2-20000−3−3−3−333332-2-1-1110000−3−333−3−3332-2000000-1-111-1-111−3−3330000000000000000
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χ42222-22-2-2-22-1222-1-111-21-2-2-1-21-22-1000011-1-1-1-1-1111133−3−3−3−333-2-2220000−3−3−3−33333-2211-1-1000033−3−3−3−3332-2000000-1-11111-1-133−3−30000000000000000
χ43222-22-2-2-22-1222-1-111-21-2-2-1-21-22-1000011-1-1-1-1-11111−3−33333−3−322-2-20000−3−3−3−33333-2211-1-10000−3−33333−3−3-2200000011-1-1-1-11133−3−30000000000000000
χ44222-22-2-2-22-1222-1-111-21-2-2-1-21-22-1000011-1-1-1-1-11111−3−33333−3−3-2-22200003333−3−3−3−3-2211-1-10000−3−33333−3−32-2000000-1-11111-1-1−3−3330000000000000000
χ4522-2-2-22-22222-2-22-22-2-2-22-2-222002000000002-2-22-22-200000000000022-2-222-2-222-2-200000000000000000000002-20000000000000000002-200002-20000
χ4622-2-2-22-22222-2-22-22-2-2-22-2-222002000000002-2-22-22-200000000000022-2-222-2-222-2-20000000000000000000000-22000000000000000000-220000-220000
χ4722-2-2-22-22222-2-22-22-2-2-22-2-222002000000002-2-22-22-2000000000000-2-222-2-222-2-22200000000000000000000002-20000000000000000002-20000-220000
χ4822-2-2-22-22222-2-22-22-2-2-22-2-222002000000002-2-22-22-2000000000000-2-222-2-222-2-2220000000000000000000000-22000000000000000000-2200002-20000
χ492-22-2-2-22222-22-2-22-22-2-2-22-22200200000000-22-2-222-20000000000002-22-22-22-22-22-2000000000000000000002-20000000000000000002-2000000002-200
χ502-22-2-2-22222-22-2-22-22-2-2-22-22200200000000-22-2-222-20000000000002-22-22-22-22-22-200000000000000000000-22000000000000000000-2200000000-2200
χ512-22-2-2-22222-22-2-22-22-2-2-22-22200200000000-22-2-222-2000000000000-22-22-22-22-22-22000000000000000000002-20000000000000000002-200000000-2200
χ522-22-2-2-22222-22-2-22-22-2-2-22-22200200000000-22-2-222-2000000000000-22-22-22-22-22-2200000000000000000000-22000000000000000000-22000000002-200
χ532-2-222-2-2222-2-22-2-2-2-222-2-22220022-2000000-2-22-2-2222-22-200002-22-22-2-222-2-222-2-220000002-2002-22-200000000000000002-22-200000000000000000000
χ542-2-222-2-2222-2-22-2-2-2-222-2-22220022-2000000-2-22-2-2222-22-20000-22-22-222-2-222-2-222-20000002-2002-22-20000000000000000-22-2200000000000000000000
χ552-2-222-2-2222-2-22-2-2-2-222-2-2222002-22000000-2-22-2-222-22-2200002-22-2-222-2-222-2-222-2000000-2200-22-2200000000000000002-22-200000000000000000000
χ562-2-222-2-2222-2-22-2-2-2-222-2-2222002-22000000-2-22-2-222-22-220000-22-222-2-222-2-222-2-22000000-2200-22-220000000000000000-22-2200000000000000000000
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χ582-2-222-2-222-1-2-2211112-1-2-2-12-100-12-200−i3i3−i3i311-111-1-1-11-11−i3i3−i3i3-22-22-222-21-1-111-1-1100−i3i3−i3i32-200-11-11−i3i3−i3i300000000i3−i3i3−i31-11-1i3−i3i3−i30000000000000000
χ592-2-222-2-222-1-2-2211112-1-2-2-12-100-12-200i3−i3i3−i311-111-1-1-11-11i3−i3i3−i32-22-22-2-22-111-1-111-100i3−i3i3−i32-200-11-11i3−i3i3−i300000000i3−i3i3−i3-11-11i3−i3i3−i30000000000000000
χ602-2-222-2-222-1-2-2211112-1-2-2-12-100-12-200i3−i3i3−i311-111-1-1-11-11i3−i3i3−i3-22-22-222-21-1-111-1-1100i3−i3i3−i32-200-11-11i3−i3i3−i300000000−i3i3−i3i31-11-1−i3i3−i3i30000000000000000
χ612-2-222-2-222-1-2-2211112-1-2-2-12-100-1-2200−i3i3−i3i311-111-1-11-11-1i3−i3i3−i32-22-2-222-21-1-111-1-1100−i3i3−i3i3-22001-11-1i3−i3i3−i300000000−i3i3−i3i3-11-11i3−i3i3−i30000000000000000
χ622-2-222-2-222-1-2-2211112-1-2-2-12-100-1-2200−i3i3−i3i311-111-1-11-11-1i3−i3i3−i3-22-222-2-22-111-1-111-100−i3i3−i3i3-22001-11-1i3−i3i3−i300000000i3−i3i3−i31-11-1−i3i3−i3i30000000000000000
χ632-2-222-2-222-1-2-2211112-1-2-2-12-100-1-2200i3−i3i3−i311-111-1-11-11-1−i3i3−i3i32-22-2-222-21-1-111-1-1100i3−i3i3−i3-22001-11-1−i3i3−i3i300000000i3−i3i3−i3-11-11−i3i3−i3i30000000000000000
χ642-2-222-2-222-1-2-2211112-1-2-2-12-100-1-2200i3−i3i3−i311-111-1-11-11-1−i3i3−i3i3-22-222-2-22-111-1-111-100i3−i3i3−i3-22001-11-1−i3i3−i3i300000000−i3i3−i3i31-11-1i3−i3i3−i30000000000000000
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χ662-2-2-2222-222-2-22-2-222-2-2222-2-2002002i−2i0000-2-2222-2-200002i−2i−2i2i-222-2000000000000000000002i−2i00002i−2i−2i2i000000−2i2i0000-222-2−2i2i2i−2i0000000000000000
χ672-2-2-2222-222-2-22-2-222-2-2222-2-200200−2i2i0000-2-2222-2-20000−2i2i2i−2i2-2-2200000000000000000000−2i2i0000−2i2i2i−2i000000−2i2i00002-2-22−2i2i2i−2i0000000000000000
χ682-2-2-2222-222-2-22-2-222-2-2222-2-200200−2i2i0000-2-2222-2-20000−2i2i2i−2i-222-200000000000000000000−2i2i0000−2i2i2i−2i0000002i−2i0000-222-22i−2i−2i2i0000000000000000
χ692-2-2-2222-22-1-2-2211-1-1-2122-1-2100-1002i−2i−i3i3i3−i311-1-1-1113−3−33−iii−i2-2-2200003−3−33−333−300−i3i3i3−i3002i−2i3−3−33−iii−i0000002i−2i−i3i3i3−i3-111-1−iii−i0000000000000000
χ702-2-2-2222-22-1-2-2211-1-1-2122-1-2100-1002i−2i−i3i3i3−i311-1-1-1113−3−33−iii−i-222-20000−333−33−3−3300−i3i3i3−i3002i−2i3−3−33−iii−i000000−2i2ii3−i3−i3i31-1-11i−i−ii0000000000000000
χ712-2-2-2222-22-1-2-2211-1-1-2122-1-2100-1002i−2ii3−i3−i3i311-1-1-111−333−3−iii−i2-2-220000−333−33−3−3300i3−i3−i3i3002i−2i−333−3−iii−i0000002i−2ii3−i3−i3i3-111-1−iii−i0000000000000000
χ722-2-2-2222-22-1-2-2211-1-1-2122-1-2100-1002i−2ii3−i3−i3i311-1-1-111−333−3−iii−i-222-200003−3−33−333−300i3−i3−i3i3002i−2i−333−3−iii−i000000−2i2i−i3i3i3−i31-1-11i−i−ii0000000000000000
χ732-2-2-2222-22-1-2-2211-1-1-2122-1-2100-100−2i2i−i3i3i3−i311-1-1-111−333−3i−i−ii2-2-220000−333−33−3−3300−i3i3i3−i300−2i2i−333−3i−i−ii000000−2i2i−i3i3i3−i3-111-1i−i−ii0000000000000000
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χ7844444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2441-4-4-4-4-2-2-2-21111111222222220000000000000000-2-211112222-1-1-1-1-1-1-1-1000000000000000000000000000000000000
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χ1064-4-444-4-44-2422-2-4-4-4-4-24224-2400-2-4400000022-222-2-2-44-44000000000000000000000000002-2002-22-20000000000000000000000000000000000000000
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χ1084-4-444-4-44-2-222-22222-2-222-2-2-20014-4002i3−2i32i3−2i3-1-11-1-111-22-222i3−2i32i3−2i3000000000000000000−i3i3−i3i3-22001-11-1−i3i3−i3i3000000000000000000000000000000000000
χ1094-4-444-4-44-2-222-22222-2-222-2-2-2001-4400−2i32i3−2i32i3-1-11-1-1112-22-22i3−2i32i3−2i3000000000000000000i3−i3i3−i32-200-11-11−i3i3−i3i3000000000000000000000000000000000000
χ1104-4-444-4-44-2-222-22222-2-222-2-2-2001-44002i3−2i32i3−2i3-1-11-1-1112-22-2−2i32i3−2i32i3000000000000000000−i3i3−i3i32-200-11-11i3−i3i3−i3000000000000000000000000000000000000
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χ1134-4-4-4444-4-2-222-222-2-222-2-2-222001004i−4i−2i32i32i3−2i3-1-1111-1-123−23−2323−2i2i2i−2i000000000000000000i3−i3−i3i300−2i2i−333−3i−i−ii000000000000000000000000000000000000
χ1144-4-4-4444-4-2-222-222-2-222-2-2-222001004i−4i2i3−2i3−2i32i3-1-1111-1-1−232323−23−2i2i2i−2i000000000000000000−i3i3i3−i300−2i2i3−3−33i−i−ii000000000000000000000000000000000000
χ1154-4-4-4444-4-2-222-222-2-222-2-2-22200100−4i4i−2i32i32i3−2i3-1-1111-1-1−232323−232i−2i−2i2i000000000000000000i3−i3−i3i3002i−2i3−3−33−iii−i000000000000000000000000000000000000
χ1164-4-4-4444-4-2-222-222-2-222-2-2-22200100−4i4i2i3−2i3−2i32i3-1-1111-1-123−23−23232i−2i−2i2i000000000000000000−i3i3i3−i3002i−2i−333−3−iii−i000000000000000000000000000000000000
χ11788-88-8-88-8-4-4-444-444-4-4-44-4444002000000002-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-88-88-4-4-444-44-4444-444-4-4002000000002-2-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-888-88-8-8-4-44-444-4-44-4-4-4444400200000000-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-8-8-888-4-44-444-44-4444-44-4-400200000000-22-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000000000

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