Finite Group Databasebeta

← Group #13169164

Character table — Group #13169164

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order12223336666666663334666666666121212121212121244441212121236661212121212121212122444666666661212121212121212121212121212221212121212121212121212122224466661212661244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-11-11111111111111111-1-11111111-1-1-111-1-111-1-1-1-1-1-1111-1-111-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-11111111111111111111-1111111111-1-111-1-1-1-1111111-1-1-1111-1-111-1-1111-1-11-1-1-1-1-1-1-11-11-1-1
χ4111111111111111111111111111111111111111-1-1111111111111111111-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-11-111
χ51111111111111111111111111111111111111-1-111-1-1-1-11111111111111-1111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1111111111111-111-1-1-1-111-1-1-11-1-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-111-1-11-1-11-1-1-1-1-1-1-11-1111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1111-1-111-1-111-1-1-1-1111-1-111-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-11-1-1-1-11111-11-11-11111-1-1-1-111-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1111111-111-1-1-11111-1-11-11-1-111-1-1-1-111-1-11
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11-1-1111-1-1-1-111-1-1111-1-1-1-111-111-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111-11111-1-1-1-111-1-11-1-111111-1-11-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-11-1-111111-1-1-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1111-1-1-1-111-1111-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-11111111111-1-1-1-1-1-111-1-1-1-1111-1-1111-1-1-1-1111-11-1-111-1-1-1-111-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-1-11-11-11111-1-1-1-11-11
χ17222222-122-1-122-122-1-122-1-122-1-1-1-122222222200220000-1-1-1-1-1-1-1-1-1-1-1-1-1022200000000220022-1-1-1-1000000-12-12-1-1-1-1-1-1-1-10220000-1-1000-1000
χ18222222-122-1-122-122-1-122-1-122-1-1-1-122222222200220000-1-1-1-1-1-1-1-1-1-1-1-1-10-22-200000000220022-1-111000000-1-21-2-1-111-1-1110-2-20000110001000
χ19222222-122-1-122-122-1-122-1-122-1-1-1-122222222200-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-102-2200000000-2-200-2-211-1-100000012-1211-1-111-1-10-2-20000110001000
χ20222222-122-1-122-122-1-122-1-122-1-1-1-122222222200-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-200000000-2-200-2-211110000001-21-2111111110220000-1-1000-1000
χ21222222-122-1-122-122-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-200220000-1-1-1-111111111102-2-200000000-2-20022-1-1-1-10000001-2121111-1-1-1-102-20000-1-10001000
χ22222222-122-1-122-122-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-200220000-1-1-1-11111111110-2-2200000000-2-20022-1-11100000012-1-211-1-1-1-1110-22000011000-1000
χ23222222-122-1-122-122-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-200-2-20000-1-1-1-1111111111022-2000000002200-2-211-1-1000000-1-212-1-11111-1-10-22000011000-1000
χ24222222-122-1-122-122-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-200-2-20000-1-1-1-11111111110-222000000002200-2-21111000000-12-1-2-1-1-1-1111102-20000-1-10001000
χ2522222-122-1222-122-12-1-122-1-1-12-12-1-122-1-1-1-1-1-122002222-1-1-1-1222-1-1-1-1-1-1220222-1-1-1-1-1-100-1-1000022-1-1-1-1000-12-100-1-100-1-120020000000-10-100
χ2622222-122-1222-122-12-1-122-1-1-12-12-1-122-1-1-1-1-1-122002222-1-1-1-1222-1-1-1-1-1-12-20-222-1-1-1-1-1-100-1-10000-2-2-1-1-1-10001-2100110011-200-2000000010100
χ2722222-122-1222-122-12-1-122-1-1-12-12-1-122-1-1-1-1-1-1-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-2202-2-211111100110000221111000-12-100-1-100-1-1-200-2000000010100
χ2822222-122-1222-122-12-1-122-1-1-12-12-1-122-1-1-1-1-1-1-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-2-20-2-2-211111100110000-2-211110001-210011001120020000000-10-100
χ2922222-122-1222-122-12-1-1-22-1-1-12-12-1-1-2-211111122002222-1-1-1-1-2-2-2111111-220-2-2-211111100-1-1000022-1-1-1-10001-2-1001100-1-1-2002000000010-100
χ3022222-122-1222-122-12-1-1-22-1-1-12-12-1-1-2-211111122002222-1-1-1-1-2-2-2111111-2-202-2-211111100-1-10000-2-2-1-1-1-1000-12100-1-10011200-20000000-10100
χ3122222-122-1222-122-12-1-1-22-1-1-12-12-1-1-2-2111111-2-200-2-2-2-2-1-1-1-1-2-2-2111111220-222-1-1-1-1-1-1001100002211110001-2-1001100-1-1200-20000000-10100
χ3222222-122-1222-122-12-1-1-22-1-1-12-12-1-1-2-2111111-2-200-2-2-2-2-1-1-1-1-2-2-21111112-20222-1-1-1-1-1-100110000-2-21111000-12100-1-10011-2002000000010-100
χ332222-122-1222-122-12-12-12-12-1-1-12-12-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-12020-1-122-1-1-1-1-1-122-1-12200-1-1-1-1222000-1-100-1-10000002-1-100-1-100000
χ342222-122-1222-122-12-12-12-12-1-1-12-12-1-1-122-1-1-1-122-2-2-1-1-1-1-1-1-1-12-1-122-1-1-1-120-20-1-122-1-1-1-1112211-2-200-1-1-1-1-2-2-2000110011000000-211001100000
χ352222-122-1222-122-12-12-12-12-1-1-12-12-1-1-122-1-1-1-1-2-2221111-1-1-1-12-1-122-1-1-1-1-202011-2-21111-1-1-2-2-1-122001111-2-22000-1-100-1-1000000-211001100000
χ362222-122-1222-122-12-12-12-12-1-1-12-12-1-1-122-1-1-1-1-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-20-2011-2-2111111-2-211-2-200111122-20001100110000002-1-100-1-100000
χ372222-122-1222-122-12-12-1-2-12-1-1-12-12-111-2-211112222-1-1-1-1-1-1-1-1-211-2-21111-20-2011-2-211111122-1-12200-1-1-1-122-20001100-1-1000000-2-1-1001100000
χ382222-122-1222-122-12-12-1-2-12-1-1-12-12-111-2-2111122-2-2-1-1-1-1-1-1-1-1-211-2-21111-202011-2-21111-1-12211-2-200-1-1-1-1-2-22000-1-1001100000021100-1-100000
χ392222-122-1222-122-12-12-1-2-12-1-1-12-12-111-2-21111-2-2221111-1-1-1-1-211-2-2111120-20-1-122-1-1-1-111-2-2-1-122001111-2-2-20001100-1-100000021100-1-100000
χ402222-122-1222-122-12-12-1-2-12-1-1-12-12-111-2-21111-2-2-2-21111-1-1-1-1-211-2-211112020-1-122-1-1-1-1-1-1-2-211-2-2001111222000-1-10011000000-2-1-1001100000
χ412-22-22222-22-2-2-2-2-222220-222-22-2-2-2-2000000002i−2i2i−2i2i2i−2i−2i22-2-2000000000000000000000002i−2i2i−2i2i−2i002i2i−2i−2i2-2000000002i−2i00000002-2000000000
χ422-22-22222-22-2-2-2-2-222220-222-22-2-2-2-2000000002i−2i−2i2i2i2i−2i−2i22-2-2000000000000000000000002i−2i−2i2i−2i2i002i2i−2i−2i-2200000000−2i2i0000000-22000000000
χ432-22-22222-22-2-2-2-2-222220-222-22-2-2-2-200000000−2i2i2i−2i−2i−2i2i2i22-2-200000000000000000000000−2i2i2i−2i2i−2i00−2i−2i2i2i-22000000002i−2i0000000-22000000000
χ442-22-22222-22-2-2-2-2-222220-222-22-2-2-2-200000000−2i2i−2i2i−2i−2i2i2i22-2-200000000000000000000000−2i2i−2i2i−2i2i00−2i−2i2i2i2-200000000−2i2i00000002-2000000000
χ452-22-2-122-1-22-21-2-212-12-1012-11-1-21-213−30033−3−32i−2i2i−2i−i−iii-1-11103−30033−3−30000−i3i300−i3−i3i3i3−i3i32i−2i−ii2i−2i00−i−iii2-20000−i3i300−ii0000000-11003−300000
χ462-22-2-122-1-22-21-2-212-12-1012-11-1-21-213−30033−3−32i−2i−2i2i−i−iii-1-11103−30033−3−30000−i3i300−i3−i3i3i3i3−i32i−2ii−i−2i2i00−i−iii-220000i3−i300i−i00000001-100−3300000
χ472-22-2-122-1-22-21-2-212-12-1012-11-1-21-213−30033−3−3−2i2i2i−2iii−i−i-1-11103−30033−3−30000i3−i300i3i3−i3−i3−i3i3−2i2i−ii2i−2i00ii−i−i-220000−i3i300−ii00000001-100−3300000
χ482-22-2-122-1-22-21-2-212-12-1012-11-1-21-213−30033−3−3−2i2i−2i2iii−i−i-1-11103−30033−3−30000i3−i300i3i3−i3−i3i3−i3−2i2ii−i−2i2i00ii−i−i2-20000i3−i300i−i0000000-11003−300000
χ492-22-2-122-1-22-21-2-212-12-1012-11-1-21-21−3300−3−3332i−2i2i−2i−i−iii-1-1110−3300−3−3330000i3−i300i3i3−i3−i3i3−i32i−2i−ii2i−2i00−i−iii2-20000i3−i300−ii0000000-1100−3300000
χ502-22-2-122-1-22-21-2-212-12-1012-11-1-21-21−3300−3−3332i−2i−2i2i−i−iii-1-1110−3300−3−3330000i3−i300i3i3−i3−i3−i3i32i−2ii−i−2i2i00−i−iii-220000−i3i300i−i00000001-1003−300000
χ512-22-2-122-1-22-21-2-212-12-1012-11-1-21-21−3300−3−333−2i2i2i−2iii−i−i-1-1110−3300−3−3330000−i3i300−i3−i3i3i3i3−i3−2i2i−ii2i−2i00ii−i−i-220000i3−i300−ii00000001-1003−300000
χ522-22-2-122-1-22-21-2-212-12-1012-11-1-21-21−3300−3−333−2i2i−2i2iii−i−i-1-1110−3300−3−3330000−i3i300−i3−i3i3i3−i3i3−2i2ii−i−2i2i00ii−i−i2-20000−i3i300i−i0000000-1100−3300000
χ5344444-2-24-2-2-24-2-24-2-21-24-21-2-2-21-21-244-2-2-2-2-2-2000000001111-2-2-211111104040000000000000000-2-20000000-2-2-2001100110000000000000000
χ5444444-2-24-2-2-24-2-24-2-21-24-21-2-2-21-21-244-2-2-2-2-2-2000000001111-2-2-21111110-40-4000000000000000022000000022200-1-100-1-10000000000000000
χ5544444-2-24-2-2-24-2-24-2-21-2-4-21-2-2-21-21-2-4-4222222000000001111222-1-1-1-1-1-1040-40000000000000000-2-2000000022-200-1-100110000000000000000
χ5644444-2-24-2-2-24-2-24-2-21-2-4-21-2-2-21-21-2-4-4222222000000001111222-1-1-1-1-1-10-4040000000000000000220000000-2-22001100-1-10000000000000000
χ574444-24-2-24-2-2-24-2-241-2-241-2-2-21-21-2-2-2-244-2-2-2-2004400001111-211-2-21111004000000000-2-200-2-2-2-200000000-2000110011000000000000000000
χ584444-24-2-24-2-2-24-2-241-2-241-2-2-21-21-2-2-2-244-2-2-2-200-4-400001111-211-2-2111100-400000000022002222000000002000-1-100-1-1000000000000000000
χ594444-24-2-24-2-2-24-2-241-2-2-41-2-2-21-21-2-222-4-422220044000011112-1-122-1-1-1-100-40000000002200-2-2-2-2000000002000-1-10011000000000000000000
χ604444-24-2-24-2-2-24-2-241-2-2-41-2-2-21-21-2-222-4-4222200-4-4000011112-1-122-1-1-1-1004000000000-2-200222200000000-20001100-1-1000000000000000000
χ614444-2-24-2-244-2-24-2-2-2-214-2-211-2-2-2-21-2-2-2-211114400-2-2-2-211114-2-2-2-211114000-2-2-2-2111100-2-20000001111000000000000000000000000000000
χ624444-2-24-2-244-2-24-2-2-2-214-2-211-2-2-2-21-2-2-2-21111-4-400222211114-2-2-2-21111-40002222-1-1-1-10022000000-1-1-1-1000000000000000000000000000000
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χ7544-4-4-2-2422-4-4-2-2422-2-21022-1-122-2-210000-33-3300002i3−2i32i3−2i31-1-1100000-33-33000000−2i32i3i3−i3i3−i30000000000−i3i3−i3i3000000000000000000000000000000
χ764-44-444-24-4-22-4-42-44-2-2402-24-4-2222-400000000004i−4i0000-2-22200000000000000000000000004i−4i−2i2i0000000000000000−2i2i000000000000000000
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χ784-44-44-24424-4-42-4-4-24-2-20-4-2-2242-422000000004i−4i004i4i−4i−4i-2-22200000000000000000000000−2i2i000000−2i−2i2i2i000000000000000000000000000000
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χ804-44-4-24-2-2-4-222-42241-2-20-1-2-2212-12223−23002323−23−23004i−4i000011-1-10−3300−3−333000000000000−2i32i300−2i2i−2i2i000000000000i3−i300i−i000000000000000000
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χ824-44-4-24-2-2-4-222-42241-2-20-1-2-2212-122−232300−23−232323004i−4i000011-1-103−30033−3−30000000000002i3−2i300−2i2i−2i2i000000000000−i3i300i−i000000000000000000
χ834-44-4-24-2-2-4-222-42241-2-20-1-2-2212-122−232300−23−23232300−4i4i000011-1-103−30033−3−3000000000000−2i32i3002i−2i2i−2i000000000000i3−i300−ii000000000000000000
χ844-44-4-2-24-224-422-42-2-2-2102-21-1-2222-123−2300−3−3334i−4i00−2i−2i2i2i11-1-1023−2300−3−3330000−2i32i300i3i3−i3−i300−2i2i000000ii−i−i000000000000000000000000000000
χ854-44-4-2-24-224-422-42-2-2-2102-21-1-2222-123−2300−3−333−4i4i002i2i−2i−2i11-1-1023−2300−3−33300002i3−2i300−i3−i3i3i3002i−2i000000−i−iii000000000000000000000000000000
χ864-44-4-2-24-224-422-42-2-2-2102-21-1-2222-1−23230033−3−34i−4i00−2i−2i2i2i11-1-10−23230033−3−300002i3−2i300−i3−i3i3i300−2i2i000000ii−i−i000000000000000000000000000000
χ874-44-4-2-24-224-422-42-2-2-2102-21-1-2222-1−23230033−3−3−4i4i002i2i−2i−2i11-1-10−23230033−3−30000−2i32i300i3i3−i3−i3002i−2i000000−i−iii000000000000000000000000000000
χ884-4-44444-44-44-4-4-44-444404-4-44-44-4-4-400000000000000004-44-400000000000000000000000000000000000000000000000000000000000000000
χ894-4-4444-2-442-2-4-424-4-2-240-22-442-222-40000000000000000-22-220000000000000000000000000000023−23000000000000000023−230000000000000000
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χ974-4-44-24424-442-4-4-2-4-24-20-2-42-2242-4200000000000023−23−2323-22-22000000000000000000000000000000023−23−2323000000000000000000000000000000
χ984-4-44-24424-442-4-4-2-4-24-20-2-42-2242-42000000000000−232323−23-22-220000000000000000000000000000000−232323−23000000000000000000000000000000
χ994-4-44-2-242-2-4422-4-22-2-210-22-112-222-10023−23−333−3000023−23−23231-11-100023−23−333−3000000003-3-330000000000−333−3000000000000000000000000000000
χ1004-4-44-2-242-2-4422-4-22-2-210-22-112-222-10023−23−333−30000−232323−231-11-100023−23−333−300000000-333-300000000003−3−33000000000000000000000000000000
χ1014-4-44-2-242-2-4422-4-22-2-210-22-112-222-100−23233−3−33000023−23−23231-11-1000−23233−3−3300000000-333-30000000000−333−3000000000000000000000000000000
χ1024-4-44-2-242-2-4422-4-22-2-210-22-112-222-100−23233−3−330000−232323−231-11-1000−23233−3−33000000003-3-3300000000003−3−33000000000000000000000000000000
χ1038888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-4222200000000-1-1-1-1-42222-1-1-1-100000000000000000000000000000000000000000000000000000000
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χ10588-8-88-4-4-84448-4-4-84-42-404-2444-2-42-400000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-48-44-844-48-44-82-4-40-2444-242-4-400000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-44444-4-4-4442220-2-2-2-2-2-222200006-66-600000000-111-100000-33-3300000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4-44444-4-4-4442220-2-2-2-2-2-22220000-66-6600000000-111-1000003-33-300000000000000000000000000000000000000000000000000000000
χ1098-88-88-4-484-44-844-8-4-42-4042-44-4-24-24000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-4-44-444444-42220-222-22-2-2-2-243−4300−23−23232300000000-1-1110−23230033−3−300000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-4-44-444444-42220-222-22-2-2-2-2−4343002323−23−2300000000-1-111023−2300−3−33300000000000000000000000000000000000000000000000000000000
χ1128-8-88-48-4484-44-84-4-82-4-40244-4-2-4-24400000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-44-44-4444-4422202-2-22-22-2-2-20043−43−232323−2300000000-11-11000−23233−3−3300000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-44-44-4444-4422202-2-22-22-2-2-200−434323−23−232300000000-11-1100023−23−333−300000000000000000000000000000000000000000000000000000000

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