Finite Group Databasebeta

← Group #13168562

Character table — Group #13168562

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666668888888888888888121212121212121212121212121212121212121818181818181818242424242424242424242424242424243636363636363636363654547272108
order122233366666666633346666666661212444444366612121212121212121212121224466121212121212121212121212121222441212121266612121212121212121212121212444466121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1111111111111111111-1111111-1-1-1-111111111111111111-11-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-11111111111111111111-111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-111111-11-1-1-1-1-111-1-11-1-1
χ4111111111111111111111111111111111-1-1-1-111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-111
χ51111111111111111111111111111111-1-111111111111111111111-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-111111111-11-11-1-111-1-1-1-1-11-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-11-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-11-11-1-1-1-1-111111-11
χ71111111111111111111111111111111-1-1-1-1111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-11-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11
χ81111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-111-1111111-1-1-1-11
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111-1-111-1-1111-1-1111-1-1-1-11111-1
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-11-11111-1-111-1-1-1-111-1-1-1-11111-11-1
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-1-11111111-1-1-1-11111-1-1-1-111-1-1-1-11-11
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-11111-1-1111111111-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1111-1-1
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-11111-1-11111111111-11-1-1-1-111-1-111-1-111-1-1-1-111-1-1-111
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1111-11-1-1-111-1-111-1-11-1-1111-1-1-1-1-1-1111
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-111-111-111111111-1-1-1
χ17222222-1-1-1222222-12-1-122-1-12-1-1-1-12-1-1222200-1-1-1-12222-1-1-1-1-1-1-1-1220-1-1-1-1-1-100002222-1-12222-1-1-1-12-1-1020-1-1-1-1-1-100000000-1-1000000000
χ18222222-1-1-1222222-12-1-122-1-12-1-1-1-12-1-122-2-200-1-1-1-12222-1-1-1-1-1-1-1-12-20-1-1-1-111000022-2-211-2-2-2-211112-1-10-20-1-111110000000011000000000
χ19222222-1-1-1222222-12-1-122-1-12-1-1-1-12-1-1-2-22200-1-1-1-12222-1-1-1-1-1-1-1-1-2201111-1-10000-2-222-1-1-2-2-2-21111-21102011-1-1-1-10000000011000000000
χ20222222-1-1-1222222-12-1-122-1-12-1-1-1-12-1-1-2-2-2-200-1-1-1-12222-1-1-1-1-1-1-1-1-2-201111110000-2-2-2-2112222-1-1-1-1-2110-2011111100000000-1-1000000000
χ21222222-1-1-1222222-12-1-1-22-1-12-1-1-1-1211222200-1-1-1-1-2-2-2-211111111-2-2011-1-11100002222-1-122-2-21111-2110-20-1-111-1-100000000-1-1000000000
χ22222222-1-1-1222222-12-1-1-22-1-12-1-1-1-121122-2-200-1-1-1-1-2-2-2-211111111-22011-1-1-1-1000022-2-211-2-222-1-1-1-1-211020-1-1-1-1110000000011000000000
χ23222222-1-1-1222222-12-1-1-22-1-12-1-1-1-1211-2-22200-1-1-1-1-2-2-2-2111111112-20-1-111110000-2-222-1-1-2-222-1-1-1-12-1-10-201111-1-10000000011000000000
χ24222222-1-1-1222222-12-1-1-22-1-12-1-1-1-1211-2-2-2-200-1-1-1-1-2-2-2-211111111220-1-111-1-10000-2-2-2-21122-2-211112-1-102011-1-11100000000-1-1000000000
χ2522222-1222-122-1-122-12-12-12-1-1-12-12-122220022-1-1-1-1-12-1-1-1-122-1-1-1-1202222200-1-122-1-1000000000000-1-1-1-102-1-10000-1-1-1-120200000-1-100-100
χ2622222-1222-122-1-122-12-12-12-1-1-12-12-1222200-2-2-1-1-1-1-12-1-1-1-122-1-1-1-120-222220011-2-2-1-1000000000000-1-1-110-2-1-100001111-20-2000001100100
χ2722222-1222-122-1-122-12-12-12-1-1-12-12-122-2-20022-1-1-1-1-12-1-1-1-122-1-1-1-1-202-2-2-2-200-1-12211000000000000111-102110000-1-1-1-1-20-2000001100100
χ2822222-1222-122-1-122-12-12-12-1-1-12-12-122-2-200-2-2-1-1-1-1-12-1-1-1-122-1-1-1-1-20-2-2-2-2-20011-2-21100000000000011110-2110000111120200000-1-100-100
χ2922222-1222-122-1-122-12-1-2-12-1-1-12-12-1-2-2220022-1-1-1-11-21111-2-21111-20-2-2-22200-1-122-1-100000000000011110-2-1-10000-1-111-20200000-1-100100
χ3022222-1222-122-1-122-12-1-2-12-1-1-12-12-1-2-22200-2-2-1-1-1-11-21111-2-21111-202-2-2220011-2-2-1-1000000000000111-102-1-1000011-1-120-2000001100-100
χ3122222-1222-122-1-122-12-1-2-12-1-1-12-12-1-2-2-2-20022-1-1-1-11-21111-2-2111120-222-2-200-1-12211000000000000-1-1-110-2110000-1-11120-2000001100-100
χ3222222-1222-122-1-122-12-1-2-12-1-1-12-12-1-2-2-2-200-2-2-1-1-1-11-21111-2-2111120222-2-20011-2-211000000000000-1-1-1-10211000011-1-1-20200000-1-100100
χ332222-122222-1-122-12-1-122-1-12-12-12-1-122002222-1-1-1-12-1-1-122-1-1-1-1-1-102200002222-1-100-1-122000000000002-1-100-1-1-1-1-1-1-1-1020200-1-100000-10
χ342222-122222-1-122-12-1-122-1-12-12-12-1-1220022-2-2-1-1-1-12-1-1-122-1-1-1-1-1-102-2000022-2-21100-1-12200000000000-2-1100-1-1-1-111110-20-200110000010
χ352222-122222-1-122-12-1-122-1-12-12-12-1-12200-2-222-1-1-1-12-1-1-122-1-1-1-1-1-10-220000-2-222-1-10011-2-20000000000021-1001111-1-1-1-10-20-200110000010
χ362222-122222-1-122-12-1-122-1-12-12-12-1-12200-2-2-2-2-1-1-1-12-1-1-122-1-1-1-1-1-10-2-20000-2-2-2-2110011-2-200000000000-2110011111111020200-1-100000-10
χ372222-122222-1-122-12-1-12-2-1-12-12-12-1-1-2-2002222-1-1-1-1-2111-2-21111110-2-20000-2-222-1-100-1-12200000000000-2110011-1-1-1-111020-200-1-10000010
χ382222-122222-1-122-12-1-12-2-1-12-12-12-1-1-2-20022-2-2-1-1-1-1-2111-2-21111110-220000-2-2-2-21100-1-1220000000000021-10011-1-111-1-10-202001100000-10
χ392222-122222-1-122-12-1-12-2-1-12-12-12-1-1-2-200-2-222-1-1-1-1-2111-2-211111102-200002222-1-10011-2-200000000000-2-1100-1-111-1-1110-202001100000-10
χ402222-122222-1-122-12-1-12-2-1-12-12-12-1-1-2-200-2-2-2-2-1-1-1-1-2111-2-2111111022000022-2-2110011-2-2000000000002-1-100-1-11111-1-1020-200-1-10000010
χ412-22-2222-2-2-2-2-22-2222220-2-2-222-2-22-20000002i−2i2-2-220000000000000000000002i−2i2i−2i000000002-222-2-20000000000002i−2i0000000000002i−2i000
χ422-22-2222-2-2-2-2-22-2222220-2-2-222-2-22-20000002i−2i2-2-220000000000000000000002i−2i2i−2i00000000-22-2-2220000000000002i−2i000000000000−2i2i000
χ432-22-2222-2-2-2-2-22-2222220-2-2-222-2-22-2000000−2i2i2-2-22000000000000000000000−2i2i−2i2i000000002-222-2-2000000000000−2i2i000000000000−2i2i000
χ442-22-2222-2-2-2-2-22-2222220-2-2-222-2-22-2000000−2i2i2-2-22000000000000000000000−2i2i−2i2i00000000-22-2-222000000000000−2i2i0000000000002i−2i000
χ452-2-222222-222-2-2-2-2-22220-2-22-2-22-2-22002i−2i2i−2i0022-2-2000000000000000002i−2i0000002i−2i2i−2i2i−2i2-20000000000002i−2i002i−2i000000002-2000000000
χ462-2-222222-222-2-2-2-2-22220-2-22-2-22-2-22002i−2i−2i2i0022-2-2000000000000000002i−2i0000002i−2i−2i2i−2i2i-220000000000002i−2i00−2i2i00000000-22000000000
χ472-2-222222-222-2-2-2-2-22220-2-22-2-22-2-2200−2i2i2i−2i0022-2-200000000000000000−2i2i000000−2i2i2i−2i2i−2i-22000000000000−2i2i002i−2i00000000-22000000000
χ482-2-222222-222-2-2-2-2-22220-2-22-2-22-2-2200−2i2i−2i2i0022-2-200000000000000000−2i2i000000−2i2i−2i2i−2i2i2-2000000000000−2i2i00−2i2i000000002-2000000000
χ492-2-2222-1-1122-2-2-2-212-1-10-21-1-21-11123−32i−2i2i−2i00-1-11100003−33−333−3−3000−i3i3−ii−i3i300002i−2i2i−2i−ii2-2003−33−30−i3i3000−ii−i3i3−ii00000000-11000000000
χ502-2-2222-1-1122-2-2-2-212-1-10-21-1-21-11123−32i−2i−2i2i00-1-11100003−33−333−3−3000−i3i3−iii3−i300002i−2i−2i2ii−i-2200−33−330−i3i3000−iii3−i3i−i000000001-1000000000
χ512-2-2222-1-1122-2-2-2-212-1-10-21-1-21-11123−3−2i2i2i−2i00-1-11100003−33−333−3−3000i3−i3i−i−i3i30000−2i2i2i−2i−ii-2200−33−330i3−i3000i−i−i3i3−ii000000001-1000000000
χ522-2-2222-1-1122-2-2-2-212-1-10-21-1-21-11123−3−2i2i−2i2i00-1-11100003−33−333−3−3000i3−i3i−ii3−i30000−2i2i−2i2ii−i2-2003−33−30i3−i3000i−ii3−i3i−i00000000-11000000000
χ532-2-2222-1-1122-2-2-2-212-1-10-21-1-21-1112−332i−2i2i−2i00-1-1110000−33−33−3−333000i3−i3−iii3−i300002i−2i2i−2i−ii2-200−33−330i3−i3000−iii3−i3−ii00000000-11000000000
χ542-2-2222-1-1122-2-2-2-212-1-10-21-1-21-1112−332i−2i−2i2i00-1-1110000−33−33−3−333000i3−i3−ii−i3i300002i−2i−2i2ii−i-22003−33−30i3−i3000−ii−i3i3i−i000000001-1000000000
χ552-2-2222-1-1122-2-2-2-212-1-10-21-1-21-1112−33−2i2i2i−2i00-1-1110000−33−33−3−333000−i3i3i−ii3−i30000−2i2i2i−2i−ii-22003−33−30−i3i3000i−ii3−i3−ii000000001-1000000000
χ562-2-2222-1-1122-2-2-2-212-1-10-21-1-21-1112−33−2i2i−2i2i00-1-1110000−33−33−3−333000−i3i3i−i−i3i30000−2i2i−2i2ii−i2-200−33−330−i3i3000i−i−i3i3i−i00000000-11000000000
χ5744444-2-2-2-2-244-2-24-2-2-214-2-21-21-21-2-2-2-24400001111-24-2-211-2-21111400-2-2-2-2000000-2-2000000000000-2110001100000000000000000000000
χ5844444-2-2-2-2-244-2-24-2-2-214-2-21-21-21-2-2-2-2-4-400001111-24-2-211-2-21111-4002222000000220000000000002-1-1000-1-100000000000000000000000
χ5944444-2-2-2-2-244-2-24-2-2-21-4-2-21-21-21-2-22244000011112-422-1-122-1-1-1-1-40022-2-2000000-2-20000000000002-1-10001100000000000000000000000
χ6044444-2-2-2-2-244-2-24-2-2-21-4-2-21-21-21-2-222-4-4000011112-422-1-122-1-1-1-1400-2-22200000022000000000000-211000-1-100000000000000000000000
χ614444-24-2-2-24-2-244-2-2-21-24-21-2-2-21-21-2-2-200440011114-2-2-2-2-21111110400000-2-2000000-2-2-2-2000000000000-200011110000000000000000000
χ624444-24-2-2-24-2-244-2-2-21-24-21-2-2-21-21-2-2-200-4-40011114-2-2-2-2-21111110-4000002200000022220000000000002000-1-1-1-10000000000000000000
χ634444-24-2-2-24-2-244-2-2-21-2-4-21-2-2-21-21-2220044001111-422222-1-1-1-1-1-10-40000022000000-2-2-2-20000000000002000-1-1110000000000000000000
χ644444-24-2-2-24-2-244-2-2-21-2-4-21-2-2-21-21-22200-4-4001111-422222-1-1-1-1-1-10400000-2-20000002222000000000000-200011-1-10000000000000000000
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χ684444-2-2444-2-2-2-2-2-241-2-2-41-2-21-2-2-2-21-4-40000-4-4111122-1-12222-1-1-1-1004000000222200000000000000000-20-2000000-1-111000000000000000
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χ824-44-4-2-24-4-4222-22-241-2-20-1221-222-2-10000004i−4i1-1-11003-300003-33-3000000000−2i2i−2i2i00000000000000000000000000i−i3i−3i000000000000000
χ834-44-4-2-24-4-4222-22-241-2-20-1221-222-2-10000004i−4i1-1-1100-330000-33-33000000000−2i2i−2i2i00000000000000000000000000i−i−3i3i000000000000000
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χ854-44-4-2-24-4-4222-22-241-2-20-1221-222-2-1000000−4i4i1-1-1100-330000-33-330000000002i−2i2i−2i00000000000000000000000000−ii3i−3i000000000000000
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χ874-4-444-244-4-24-422-4-4-24-202-4-22242-4-200−4i4i0000-2-22200000000000000000−4i4i0000002i−2i0000000000000000002i−2i00000000000000000000000
χ884-4-444-2-2-22-24-422-42-2-2102212-1-2-12-223−234i−4i000011-1-10000−3323−23−3−333000−2i32i3−2i2i000000−2i2i0000000000000i3−i3000i−i00000000000000000000000
χ894-4-444-2-2-22-24-422-42-2-2102212-1-2-12-223−23−4i4i000011-1-10000−3323−23−3−3330002i3−2i32i−2i0000002i−2i0000000000000−i3i3000−ii00000000000000000000000
χ904-4-444-2-2-22-24-422-42-2-2102212-1-2-12-2−23234i−4i000011-1-100003−3−232333−3−30002i3−2i3−2i2i000000−2i2i0000000000000−i3i3000i−i00000000000000000000000
χ914-4-444-2-2-22-24-422-42-2-2102212-1-2-12-2−2323−4i4i000011-1-100003−3−232333−3−3000−2i32i32i−2i0000002i−2i0000000000000i3−i3000−ii00000000000000000000000
χ924-4-44-2444-44-22-4-42-4-2-2402242-4-2-42-200004i−4i00-2-222000000000000000000000000000−2i2i4i−4i000000000000000000−2i2i0000000000000000000
χ934-4-44-2444-44-22-4-42-4-2-2402242-4-2-42-20000−4i4i00-2-2220000000000000000000000000002i−2i−4i4i0000000000000000002i−2i0000000000000000000
χ944-4-44-24-2-224-22-4-422-21-202-1-22212-1-223−23004i−4i0011-1-1000023−23−33−3−3330000000−2i32i3000000−2i2i−2i2i0000000000000000i3−i3i−i0000000000000000000
χ954-4-44-24-2-224-22-4-422-21-202-1-22212-1-223−2300−4i4i0011-1-1000023−23−33−3−33300000002i3−2i30000002i−2i2i−2i0000000000000000−i3i3−ii0000000000000000000
χ964-4-44-24-2-224-22-4-422-21-202-1-22212-1-2−2323004i−4i0011-1-10000−23233−333−3−300000002i3−2i3000000−2i2i−2i2i0000000000000000−i3i3i−i0000000000000000000
χ974-4-44-24-2-224-22-4-422-21-202-1-22212-1-2−232300−4i4i0011-1-10000−23233−333−3−30000000−2i32i30000002i−2i2i−2i0000000000000000i3−i3−ii0000000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4000000-1-1-1-1-4-4222222-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4222-822222222244000000-1-1-1-144-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000
χ10088-8-88-4-44-44-884-4-84-4-420-4-4-24-24244000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-48-44-4-84-4-8844-42-40-42444-2-4-24000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-48-8844-44-44-82-4-402-44-244-44-2000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-44-444-44-444222022-2-2-2-22-2-200000000-11-110000000033−33−33330000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-44-444-44-444222022-2-2-2-22-2-200000000-11-1100000000−333333−330000000000000000000000000000000000000000000000000000000000
χ1058-88-88-4-4444-8-8-448-4-4-42044-2-424-2-44000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-48-444-8448-8-4-4-42-404-24-4-4-2424000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-444444-44-4-42220-2-2-222-2-22-200000000-111-1006-60000-33-330000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-444444-44-4-42220-2-2-222-2-22-200000000-111-100-6600003-33-30000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-488-8-4-44444-82-4-40-24-4-24-44420000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-4-44-4-4444442220-2-22-2-22-2-2243−43000000-1-1110000−2323−232333−3−30000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-4-44-4-4444442220-2-22-2-22-2-22−4343000000-1-111000023−2323−23−3−3330000000000000000000000000000000000000000000000000000000000

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