Finite Group Databasebeta

← Group #11824491

Character table — Group #11824491

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222244444444444444444444666666668888888888888888888881212121212121212121212121212121212121212121212122424242424242424242436363636363672
order1222222233666666666666662234466666666666121212124444444446666661212121212121212121212121212224444441212121212121212121212121212121244661212121212124444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-11-1-1-1-11111-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ5111111111111111111111111111-1-111111111111-1-1-1-111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-111-1
χ6111111111111111111111111111-1-111111111111-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-11
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111-1-1-111-1-1-1-1-1-111-1-11
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-111-1
χ9111111111111111111111111-1-1111-1-1-1-11111111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1
χ10111111111111111111111111-1-1111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-11-1-1-1-1-1-111-1-1-1-1111
χ11111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111
χ12111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1
χ13111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11
χ14111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-11111-1
χ15111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-1-111-1-11111-1
χ16111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-1-11
χ17222222222-122222-1-1-1-1-1-12-1222-1222222-1-1-1-1-1-1-1-1-1-1-1222200002-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-10000000020-1-1-1-100000000000
χ18222222222-122222-1-1-1-1-1-12-1222-1222222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200002-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-200-2-2001111111100000000-20111100000000000
χ19222222222-122222-1-1-1-1-1-12-1222-1-2-22222-1-1-1-1-1-1-1111122220000-2-1-1-1-1-1-1-2-211-2-2111111112200-2-200-1-1-1-1111100000000-20-1-11100000000000
χ20222222222-122222-1-1-1-1-1-12-1222-1-2-22222-1-1-1-1-1-1-11111-2-2-2-20000-2-1-1-1-1-1-1-2-211-2-211111111-2-20022001111-1-1-1-1000000002011-1-100000000000
χ21222222222-122222-1-1-1-1-1-12-12-2-2-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-122220000-21111112211-2-2-1-1-1-11111-2-2002200-1-1-1-1-1-1-1-100000000-20111100000000000
χ22222222222-122222-1-1-1-1-1-12-12-2-2-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-21111112211-2-2-1-1-1-111112200-2-200111111110000000020-1-1-1-100000000000
χ23222222222-122222-1-1-1-1-1-12-12-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-11111222200002111111-2-2-1-1221111-1-1-1-1-2-200-2-200-1-1-1-11111000000002011-1-100000000000
χ24222222222-122222-1-1-1-1-1-12-12-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-200002111111-2-2-1-1221111-1-1-1-1220022001111-1-1-1-100000000-20-1-11100000000000
χ2522222222-12-1-1-1-1-1222222-12-122-122-1-1-1-1-1-1-1-1-1-1-1222200002222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-10022002200000000-1-1-1-1-1-1-1-1020000-1-1-1-10000000
χ2622222222-12-1-1-1-1-1222222-12-122-122-1-1-1-1-1-1-1-1-1-1-122220000-2-2-2-2222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-100-2-200-2-200000000111111110-2000011110000000
χ2722222222-12-1-1-1-1-1222222-12-122-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200002222-222-1-1-1-111-2-2111111111100-2-2002200000000-1-1-1-1-1-1-1-10-2000011110000000
χ2822222222-12-1-1-1-1-1222222-12-122-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2-222-1-1-1-111-2-21111111111002200-2-20000000011111111020000-1-1-1-10000000
χ2922222222-12-1-1-1-1-1222222-12-1-2-2-1221111-1-1-1-1-1-1-1222200002222-2-2-21111-1-1-2-211-1-1-1-11111002200-2-200000000-1-1-1-111110-20000-1-1110000000
χ3022222222-12-1-1-1-1-1222222-12-1-2-2-1221111-1-1-1-1-1-1-122220000-2-2-2-2-2-2-21111-1-1-2-211-1-1-1-1111100-2-20022000000001111-1-1-1-102000011-1-10000000
χ3122222222-12-1-1-1-1-1222222-12-1-2-2-1-2-21111-1-1-1-1-1-1-1-2-2-2-2000022222-2-211111122-1-11111-1-1-1-100-2-200-2-200000000-1-1-1-1111102000011-1-10000000
χ3222222222-12-1-1-1-1-1222222-12-1-2-2-1-2-21111-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-22-2-211111122-1-11111-1-1-1-100220022000000001111-1-1-1-10-20000-1-1110000000
χ332222-2-2-2-222222-2-222-2-22-2-2-2-22-220022-2-2222-2-2-2-2000022-2-2000002-222-2-2000000000000002-200000022-2-2000000000000002-20000000000000
χ342222-2-2-2-222222-2-222-2-22-2-2-2-22-220022-2-2222-2-2-2-20000-2-222000002-222-2-200000000000000-22000000-2-22200000000000000-220000000000000
χ352222-2-2-2-222222-2-222-2-22-2-2-2-2-22200-2-222222-2-2-2-2000022-2-200000-22-2-22200000000000000-2200000022-2-200000000000000-220000000000000
χ362222-2-2-2-222222-2-222-2-22-2-2-2-2-22200-2-222222-2-2-2-20000-2-22200000-22-2-222000000000000002-2000000-2-222000000000000002-20000000000000
χ372222-2-2-2-22-1222-2-2-1-111-11-21-22-2-10022-2-2-1-1-1111133−3−322-2-200000-11-1-111003−30033−3−333−3−32-2000000-1-11133−3−30000000000-113−300000000000
χ382222-2-2-2-22-1222-2-2-1-111-11-21-22-2-10022-2-2-1-1-1111133−3−3-2-22200000-11-1-111003−30033−3−333−3−3-2200000011-1-1−3−33300000000001-1−3300000000000
χ392222-2-2-2-22-1222-2-2-1-111-11-21-22-2-10022-2-2-1-1-11111−3−33322-2-200000-11-1-11100−3300−3−333−3−3332-2000000-1-111−3−3330000000000-11−3300000000000
χ402222-2-2-2-22-1222-2-2-1-111-11-21-22-2-10022-2-2-1-1-11111−3−333-2-22200000-11-1-11100−3300−3−333−3−333-2200000011-1-133−3−300000000001-13−300000000000
χ412222-2-2-2-22-1222-2-2-1-111-11-21-2-22-100-2-222-1-1-1111133−3−322-2-2000001-111-1-100−330033−3−3−3−333-22000000-1-11133−3−300000000001-1−3300000000000
χ422222-2-2-2-22-1222-2-2-1-111-11-21-2-22-100-2-222-1-1-1111133−3−3-2-222000001-111-1-100−330033−3−3−3−3332-200000011-1-1−3−3330000000000-113−300000000000
χ432222-2-2-2-22-1222-2-2-1-111-11-21-2-22-100-2-222-1-1-11111−3−33322-2-2000001-111-1-1003−300−3−33333−3−3-22000000-1-111−3−33300000000001-13−300000000000
χ442222-2-2-2-22-1222-2-2-1-111-11-21-2-22-100-2-222-1-1-11111−3−333-2-222000001-111-1-1003−300−3−33333−3−32-200000011-1-133−3−30000000000-11−3300000000000
χ4522-2-22-2-22222-2-2-2-22-2-22-2-22220022-200002-2-2-2-2222-22-2000022-2-200000002-200002-22-20000002-200000000000022-2-200000000002-2000000000
χ4622-2-22-2-22222-2-2-2-22-2-22-2-22220022-200002-2-2-2-2222-22-20000-2-22200000002-200002-22-2000000-22000000000000-2-2220000000000-22000000000
χ4722-2-22-2-22222-2-2-2-22-2-22-2-2222002-2200002-2-2-2-222-22-22000022-2-20000000-220000-22-22000000-2200000000000022-2-20000000000-22000000000
χ4822-2-22-2-22222-2-2-2-22-2-22-2-2222002-2200002-2-2-2-222-22-220000-2-2220000000-220000-22-220000002-2000000000000-2-22200000000002-2000000000
χ4922-2-22-2-22-12-111112-2-22-2-2-12-100-12-2−i3i3−i3i3-11111-1-12-22-2000022-2-2000−i3i3−i3i3-1100−i3i3-11-11−i3i3−i3i3002-2000000000000-1-111−i3−i3i3i3000000-11−i3i30000000
χ5022-2-22-2-22-12-111112-2-22-2-2-12-100-12-2−i3i3−i3i3-11111-1-12-22-20000-2-222000−i3i3−i3i3-1100−i3i3-11-11−i3i3−i3i300-2200000000000011-1-1i3i3−i3−i30000001-1i3−i30000000
χ5122-2-22-2-22-12-111112-2-22-2-2-12-100-12-2i3−i3i3−i3-11111-1-12-22-2000022-2-2000i3−i3i3−i3-1100i3−i3-11-11i3−i3i3−i3002-2000000000000-1-111i3i3−i3−i3000000-11i3−i30000000
χ5222-2-22-2-22-12-111112-2-22-2-2-12-100-12-2i3−i3i3−i3-11111-1-12-22-20000-2-222000i3−i3i3−i3-1100i3−i3-11-11i3−i3i3−i300-2200000000000011-1-1−i3−i3i3i30000001-1−i3i30000000
χ5322-2-22-2-22-12-111112-2-22-2-2-12-100-1-22−i3i3−i3i3-11111-1-1-22-22000022-2-2000−i3i3−i3i31-100i3−i31-11-1i3−i3i3−i300-22000000000000-1-111−i3−i3i3i30000001-1i3−i30000000
χ5422-2-22-2-22-12-111112-2-22-2-2-12-100-1-22−i3i3−i3i3-11111-1-1-22-220000-2-222000−i3i3−i3i31-100i3−i31-11-1i3−i3i3−i3002-200000000000011-1-1i3i3−i3−i3000000-11−i3i30000000
χ5522-2-22-2-22-12-111112-2-22-2-2-12-100-1-22i3−i3i3−i3-11111-1-1-22-22000022-2-2000i3−i3i3−i31-100−i3i31-11-1−i3i3−i3i300-22000000000000-1-111i3i3−i3−i30000001-1−i3i30000000
χ5622-2-22-2-22-12-111112-2-22-2-2-12-100-1-22i3−i3i3−i3-11111-1-1-22-220000-2-222000i3−i3i3−i31-100−i3i31-11-1−i3i3−i3i3002-200000000000011-1-1−i3−i3i3i3000000-11i3−i30000000
χ572-22-2-2-22222-22-22-2-22-2-2-22-222002000000-22-22-22-2000000002-22-200000000000000000000000002-20000002-22-22-22-200000000000000002-2000
χ582-22-2-2-22222-22-22-2-22-2-2-22-222002000000-22-22-22-2000000002-22-20000000000000000000000000-22000000-22-222-22-20000000000000000-22000
χ592-22-2-2-22222-22-22-2-22-2-2-22-222002000000-22-22-22-200000000-22-2200000000000000000000000002-20000002-22-2-22-220000000000000000-22000
χ602-22-2-2-22222-22-22-2-22-2-2-22-222002000000-22-22-22-200000000-22-220000000000000000000000000-22000000-22-22-22-2200000000000000002-2000
χ612-2-222-22-222-2-222-2-2-2-22222-2-2002000000-2-222-2-2200002-22-200000000000000000000000000000002i−2i2-22-2000000002i−2i2i−2i000000000000002i−2i0
χ622-2-222-22-222-2-222-2-2-2-22222-2-2002000000-2-222-2-2200002-22-20000000000000000000000000000000−2i2i2-22-200000000−2i2i−2i2i00000000000000−2i2i0
χ632-2-222-22-222-2-222-2-2-2-22222-2-2002000000-2-222-2-220000-22-2200000000000000000000000000000002i−2i-22-22000000002i−2i2i−2i00000000000000−2i2i0
χ642-2-222-22-222-2-222-2-2-2-22222-2-2002000000-2-222-2-220000-22-220000000000000000000000000000000−2i2i-22-2200000000−2i2i−2i2i000000000000002i−2i0
χ652-2-22-22-2222-2-22-22-2-22-22-2-222002000000-2-22-222-200002-2-222-2-22000000000000000000000000000002-2-2200002-2-22000000000000002-200000
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χ7244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-41-4-422221111111222200000000422-1-1-1-122-2-2-2-2-1-1-1-1111100000000000000000000000000000000000000000
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χ7944-4-44-4-444-24-4-4-4-4-222-2224-2400-24-40000-22222-2-2-22-220000000000000004-40000-22-22000000000000000000000000000000000000000000000
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χ8444-4-44-4-44-2-2-22222-222-222-2-2-2001-442i3−2i32i3−2i31-1-1-1-1112-22-200000000000−i3i3−i3i32-200−2i32i3-11-11i3−i3i3−i300000000000000000000000000000000000000000
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χ8644-4-4-444-44-24-4-444-22-222-2-42-400-2000000-222-2-22223−23−232300000000000000000000023−23−2323000000000000000000000000000000000000000000000
χ8744-4-4-444-44-24-4-444-22-222-2-42-400-2000000-222-2-222−232323−23000000000000000000000−232323−23000000000000000000000000000000000000000000000
χ8844-4-4-444-4-24-222-2-24-44-4-442-4200-200−2i32i32i3−2i3-222-2-222000000000000000−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000
χ8944-4-4-444-4-24-222-2-24-44-4-442-4200-2002i3−2i3−2i32i3-222-2-2220000000000000002i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000
χ9044-4-4-444-4-2-2-222-2-2-22-222-222200100−2i32i32i3−2i31-1-111-1-123−23−232300000000000i3−i3−i3i3000000−333−3−3i3i3i−3i00000000000000000000000000000000000000000
χ9144-4-4-444-4-2-2-222-2-2-22-222-222200100−2i32i32i3−2i31-1-111-1-1−232323−2300000000000i3−i3−i3i30000003−3−333i−3i−3i3i00000000000000000000000000000000000000000
χ9244-4-4-444-4-2-2-222-2-2-22-222-2222001002i3−2i3−2i32i31-1-111-1-123−23−232300000000000−i3i3i3−i3000000−333−33i−3i−3i3i00000000000000000000000000000000000000000
χ9344-4-4-444-4-2-2-222-2-2-22-222-2222001002i3−2i3−2i32i31-1-111-1-1−232323−2300000000000−i3i3i3−i30000003−3−33−3i3i3i−3i00000000000000000000000000000000000000000
χ944-44-444-4-444-44-4-44-4444-4-44-4-4004000000-44-4-44-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ954-44-444-4-44-2-44-4-442-2-2-22242-400-20000002-222-22-200000000000000000000000000000000000000000000023−23−23230000000000000000000000000
χ964-44-444-4-44-2-44-4-442-2-2-22242-400-20000002-222-22-2000000000000000000000000000000000000000000000−232323−230000000000000000000000000
χ974-44-444-4-4-242-222-2-4444-4-4-2-4200-20000002-222-22-20000000000000000000000000000000000000000000000000000023−23−232300000000000000000
χ984-44-444-4-4-242-222-2-4444-4-4-2-4200-20000002-222-22-200000000000000000000000000000000000000000000000000000−232323−2300000000000000000
χ994-44-4-4-4444-2-44-44-42-2222-2-4-2400-20000002-22-22-2200000000000000000000000000000000000004-4000000-22-220000000000000000000000000
χ1004-44-4-4-4444-2-44-44-42-2222-2-4-2400-20000002-22-22-220000000000000000000000000000000000000-440000002-22-20000000000000000000000000
χ1014-44-4-4-444-242-22-22-44-4-4-4424-200-20000002-22-22-22000000004-44-40000000000000000000000000000000000000-22-22000000000000000000000
χ1024-44-4-4-444-242-22-22-44-4-4-4424-200-20000002-22-22-2200000000-44-4400000000000000000000000000000000000002-22-2000000000000000000000
χ1034-4-444-44-44-2-4-444-4222-2-2-242-400-200000022-2-222-200004-44-4000000000000000000000000000000000-22-2200000000000000000000000000000
χ1044-4-444-44-44-2-4-444-4222-2-2-242-400-200000022-2-222-20000-44-440000000000000000000000000000000002-22-200000000000000000000000000000
χ1054-4-444-44-4-2422-2-22-4-4-4444-2-4200-200000022-2-222-20000000000000000000000000000000000000004i−4i000000000000−2i2i−2i2i00000000000000000
χ1064-4-444-44-4-2422-2-22-4-4-4444-2-4200-200000022-2-222-2000000000000000000000000000000000000000−4i4i0000000000002i−2i2i−2i00000000000000000
χ1074-4-44-44-444-2-4-44-4422-22-22-4-2400-200000022-22-2-2200004-4-44000000000000000000000000000000000-222-200000000000000000000000000000
χ1084-4-44-44-444-2-4-44-4422-22-22-4-2400-200000022-22-2-220000-444-40000000000000000000000000000000002-2-2200000000000000000000000000000
χ1094-4-44-44-44-2422-22-2-4-44-44-424-200-200000022-22-2-22000000004-4-440000000000000000000000000000000000000-222-2000000000000000000000
χ1104-4-44-44-44-2422-22-2-4-44-44-424-200-200000022-22-2-2200000000-444-400000000000000000000000000000000000002-2-22000000000000000000000
χ1118-88-888-8-8-4-44-444-44-4-4-444-444002000000-22-2-22-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-8-888-4-44-44-444-4444-44-4-4002000000-22-22-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-888-88-8-4-444-4-44444-4-4-4-444002000000-2-222-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-88-88-4-444-44-444-44-444-4-4002000000-2-22-222-200000000000000000000000000000000000000000000000000000000000000000000000000

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