Finite Group Databasebeta

← Group #13172183

Character table — Group #13172183

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818182424242424242424242424242424242436363636363636363636367272108108
order122233366666666623336666666666644443666666666666666244466121212121212121212121212121244121212126661212121212121212121212121244444121212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-111-1-1-1111111111111-1-1111111-1-1-111-111111111-1-11-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111-1-111111111111111111-11111111111-1-1-1-1-1-111-1-1-1-1-1-1111-1111111-1-1-1-111-11-11-111-1-1-1-1-11-1-1
χ4111111111111111111111111111111111-1-11111111111111111-1-11-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11-11-1-111-1-11-111
χ51111111111111111111111111111111-1-111111111111111111111-1111-1-1-1-1-1-111111111-1-1-1-1-1-11111-11-1-1-1-1111111-1-11-11-1-111-1-11-1-1-1
χ61111111111111111111111111111111-1-1111111111111111111-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-11-11-111-1-1-1-1-1111
χ71111111111111111111111111111111-1-1-1-111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-111
χ81111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ91111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1111111-1-111-1-111-1-1111111111-1-1-111-1-111-1-1-1-1-1-1-111-1-111-1-1-111-1
χ101111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11-1-11111-1-111-1-11111111111-1-1-1-1-1111-1-111-1-111-111-1-111-1-1-1-11-1-11
χ111111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11-111-1-1-1-1-11111-11
χ121111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1111111-1-11111111-1-11-1
χ131111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-11-11-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111-11-1-1-11111-1-1-1-111-1-11111111-1-1-11
χ141111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111-111-1-1-1-1-111111-1
χ151111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1111-111-1-1-1-111-1-111-1-1-1-111111111111-1-1-111-1-111-1-1-111-1-111-1-1-1-11-11-1
χ161111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-111111111-1-1-1111-1-111-1-11111-1-1-111-1-111-1-1-11-11
χ17222222-12-1222-12-1222-1-1222-1-1-122-1-1-10022-12-122-1-1-1-1-1-1-1-1-1-1-12202-1-10000002222-1-1220000002-1-1-10-10000-1-1-1-1-1-10020200-1-100-1000
χ18222222-12-1222-12-1222-1-1222-1-1-122-1-1-10022-12-122-1-1-1-1-1-1-1-1-1-1-1-220-2110000002222-1-1-2-2000000-211-1010000-1-1-1-11100-20-20011001000
χ19222222-12-1222-12-1222-1-1222-1-1-122-1-1-100-2-2-12-122-1-1-1-1-1-1-1-1-1-1-12-202-1-1000000-2-2-2-211220000002-1-110-100001111-1-100-20-20011001000
χ20222222-12-1222-12-1222-1-1222-1-1-122-1-1-100-2-2-12-122-1-1-1-1-1-1-1-1-1-1-1-2-20-211000000-2-2-2-211-2-2000000-21110100001111110020200-1-100-1000
χ21222222-12-1222-12-12-22-1-1-2-22-1-1-122-1-1-10022-1-21-2-21111-1-1-111112-20-2-1-100000022-2-2-1-1-2-20000002-1-11010000-1-1111100-20200-1-1001000
χ22222222-12-1222-12-12-22-1-1-2-22-1-1-122-1-1-10022-1-21-2-21111-1-1-11111-2-2021100000022-2-2-1-122000000-21110-10000-1-111-1-10020-2001100-1000
χ23222222-12-1222-12-12-22-1-1-2-22-1-1-122-1-1-100-2-2-1-21-2-21111-1-1-11111220-2-1-1000000-2-22211-2-20000002-1-1-101000011-1-1110020-2001100-1000
χ24222222-12-1222-12-12-22-1-1-2-22-1-1-122-1-1-100-2-2-1-21-2-21111-1-1-11111-220211000000-2-2221122000000-211-10-1000011-1-1-1-100-20200-1-1001000
χ2522222-12-1222-12-1222-12-122-12-1-1-1-122-12200-1-12-1-122-1-1-1-1-1-1-1-1-1202222-1-12222000000-1-1000000-1-1-10-12-1-1-1-10000-1-102020-1-100000-100
χ2622222-12-1222-12-1222-12-122-12-1-1-1-122-12200-1-12-1-122-1-1-1-1-1-1-1-1-1-202-2-2-2-1-12222000000110000001110-1-2-1-1-1-10000110-20-201100000100
χ2722222-12-1222-12-1222-12-122-12-1-1-1-122-1-2-200-1-12-1-122-1-1-1-1-1-1-1-1-120-222211-2-2-2-2000000-1-1000000-1-1-101211110000-1-10-20-201100000100
χ2822222-12-1222-12-1222-12-122-12-1-1-1-122-1-2-200-1-12-1-122-1-1-1-1-1-1-1-1-1-20-2-2-2-211-2-2-2-20000001100000011101-2111100001102020-1-100000-100
χ2922222-12-1222-12-122-2-12-1-2-2-12-1-1-1-122-12200-11-211-2-211-1-1-1111120-2-222-1-122-2-200000011000000-1-1-101-2-1-1110000110-20201100000-100
χ3022222-12-1222-12-122-2-12-1-2-2-12-1-1-1-122-12200-11-211-2-211-1-1-11111-20-22-2-2-1-122-2-2000000-1-1000000111012-1-1110000-1-1020-20-1-100000100
χ3122222-12-1222-12-122-2-12-1-2-2-12-1-1-1-122-1-2-200-11-211-2-211-1-1-11111202-22211-2-22200000011000000-1-1-10-1-211-1-1000011020-20-1-100000100
χ3222222-12-1222-12-122-2-12-1-2-2-12-1-1-1-122-1-2-200-11-211-2-211-1-1-11111-2022-2-211-2-222000000-1-10000001110-1211-1-10000-1-10-20201100000-100
χ332222-12222-1-12222-12-1-12-1-1-1-122-1-1-1-122222-122-1-1-1-122-1-1-1-1-1-1-102200022-1-1-1-1-1-1-1-1220022-1-1-1-1000220-1-1-1-1-1-1-1-100200000000-1-10000
χ342222-12222-1-12222-12-1-12-1-1-1-122-1-1-1-1222-2-2-122-1-1-1-122-1-1-1-1-1-1-10-2200022-1-1-1-11111-2-200-2-21111000-220-1-1-1-1111100-200000000110000
χ352222-12222-1-12222-12-1-12-1-1-1-122-1-1-1-12-2-222-122-1-1-1-122-1-1-1-1-1-1-102-2000-2-21111-1-1-1-12200-2-211110002-201111-1-1-1-100-200000000110000
χ362222-12222-1-12222-12-1-12-1-1-1-122-1-1-1-12-2-2-2-2-122-1-1-1-122-1-1-1-1-1-1-10-2-2000-2-211111111-2-20022-1-1-1-1000-2-201111111100200000000-1-10000
χ372222-12222-1-12222-1-2-1-1211-1-122-1-1-1-122222-1-2-21111-2-2-1-1-111110-2-200022-1-111-1-111220022-1-1-1-1000-2-20-1-111-1-11100-200000000110000
χ382222-12222-1-12222-1-2-1-1211-1-122-1-1-1-1222-2-2-1-2-21111-2-2-1-1-1111102-200022-1-11111-1-1-2-200-2-211110002-20-1-11111-1-100200000000-1-10000
χ392222-12222-1-12222-1-2-1-1211-1-122-1-1-1-12-2-222-1-2-21111-2-2-1-1-111110-22000-2-211-1-1-1-1112200-2-21111000-22011-1-1-1-11100200000000-1-10000
χ402222-12222-1-12222-1-2-1-1211-1-122-1-1-1-12-2-2-2-2-1-2-21111-2-2-1-1-11111022000-2-211-1-111-1-1-2-20022-1-1-1-100022011-1-111-1-100-200000000110000
χ412-22-2222-2-2-2-222-2-22022200222-2-2-2-2-2-22i−2i2i−2i2000000002-2-200000000002i−2i2i−2i002i−2i002i−2i002-222-2-20000002i−2i002i−2i0000000000000000000
χ422-22-2222-2-2-2-222-2-22022200222-2-2-2-2-2-22i−2i−2i2i2000000002-2-200000000002i−2i2i−2i00−2i2i00−2i2i00-22-2-2220000002i−2i00−2i2i0000000000000000000
χ432-22-2222-2-2-2-222-2-22022200222-2-2-2-2-2-2−2i2i2i−2i2000000002-2-20000000000−2i2i−2i2i002i−2i002i−2i00-22-2-222000000−2i2i002i−2i0000000000000000000
χ442-22-2222-2-2-2-222-2-22022200222-2-2-2-2-2-2−2i2i−2i2i2000000002-2-20000000000−2i2i−2i2i00−2i2i00−2i2i002-222-2-2000000−2i2i00−2i2i0000000000000000000
χ452-22-2-122-2-21122-2-2-10-1-12−i3i3-1-12-21111-22i−2i2i−2i-100−i3i3−i3i300-111−i3−i3i3i30000002i−2i−ii3−3−ii3−32i−2i002-2-1-111000000−ii3−3−ii3−300000000000−i3i30000
χ462-22-2-122-2-21122-2-2-10-1-12−i3i3-1-12-21111-22i−2i−2i2i-100−i3i3−i3i300-111−i3−i3i3i30000002i−2i−ii3−3i−i−33−2i2i00-2211-1-1000000−ii3−3i−i−3300000000000i3−i30000
χ472-22-2-122-2-21122-2-2-10-1-12−i3i3-1-12-21111-2−2i2i2i−2i-100−i3i3−i3i300-111−i3−i3i3i3000000−2i2ii−i−33−ii3−32i−2i00-2211-1-1000000i−i−33−ii3−300000000000i3−i30000
χ482-22-2-122-2-21122-2-2-10-1-12−i3i3-1-12-21111-2−2i2i−2i2i-100−i3i3−i3i300-111−i3−i3i3i3000000−2i2ii−i−33i−i−33−2i2i002-2-1-111000000i−i−33i−i−3300000000000−i3i30000
χ492-22-2-122-2-21122-2-2-10-1-12i3−i3-1-12-21111-22i−2i2i−2i-100i3−i3i3−i300-111i3i3−i3−i30000002i−2i−ii−33−ii−332i−2i002-2-1-111000000−ii−33−ii−3300000000000i3−i30000
χ502-22-2-122-2-21122-2-2-10-1-12i3−i3-1-12-21111-22i−2i−2i2i-100i3−i3i3−i300-111i3i3−i3−i30000002i−2i−ii−33i−i3−3−2i2i00-2211-1-1000000−ii−33i−i3−300000000000−i3i30000
χ512-22-2-122-2-21122-2-2-10-1-12i3−i3-1-12-21111-2−2i2i2i−2i-100i3−i3i3−i300-111i3i3−i3−i3000000−2i2ii−i3−3−ii−332i−2i00-2211-1-1000000i−i3−3−ii−3300000000000−i3i30000
χ522-22-2-122-2-21122-2-2-10-1-12i3−i3-1-12-21111-2−2i2i−2i2i-100i3−i3i3−i300-111i3i3−i3−i3000000−2i2ii−i3−3i−i3−3−2i2i002-2-1-111000000i−i3−3i−i3−300000000000i3−i30000
χ5344444-2-2-2-244-2-2-2-244-2-2144-2-211-2-2-2-2100001-2-2-2-2-2-21111111114004-2-2000000000000-2-2000000-21100-20000000011000000000000000
χ5444444-2-2-2-244-2-2-2-244-2-2144-2-211-2-2-2-2100001-2-2-2-2-2-2111111111-400-422000000000000220000002-1-100200000000-1-1000000000000000
χ5544444-2-2-2-244-2-2-2-24-4-2-21-4-4-2-211-2-2-2-2100001222222-1-1111-1-1-1-1400-4-2-200000000000022000000-21100200000000-1-1000000000000000
χ5644444-2-2-2-244-2-2-2-24-4-2-21-4-4-2-211-2-2-2-2100001222222-1-1111-1-1-1-1-400422000000000000-2-20000002-1-100-20000000011000000000000000
χ574444-24-24-2-2-24-24-2-24-21-2-2-2-21-2-2-2-211-2004414-2-2-211-2-21111111040000000000-2-2-2-2-2-200000000000-2000000111100000000000000000
χ584444-24-24-2-2-24-24-2-24-21-2-2-2-21-2-2-2-211-200-4-414-2-2-211-2-211111110-40000000000222222000000000002000000-1-1-1-100000000000000000
χ594444-24-24-2-2-24-24-2-2-4-21-222-21-2-2-2-211-200441-4222-1-122111-1-1-1-10-40000000000-2-222-2-200000000000200000011-1-100000000000000000
χ604444-24-24-2-2-24-24-2-2-4-21-222-21-2-2-2-211-200-4-41-4222-1-122111-1-1-1-104000000000022-2-22200000000000-2000000-1-11100000000000000000
χ614444-2-24-24-2-2-24-24-241-2-2-2-21-2-2-211-2-2-244001-2411-2-2-2-21111111004000-2-2-2-2-2-2000000000000000000-201111000000000000000000000
χ624444-2-24-24-2-2-24-24-241-2-2-2-21-2-2-211-2-2-2-4-4001-2411-2-2-2-2111111100-400022222200000000000000000020-1-1-1-1000000000000000000000
χ634444-2-24-24-2-2-24-24-2-41-2-2221-2-2-211-2-2-2440012-4-1-12222111-1-1-1-100-4000-2-2-2-2220000000000000000002011-1-1000000000000000000000
χ644444-2-24-24-2-2-24-24-2-41-2-2221-2-2-211-2-2-2-4-40012-4-1-12222111-1-1-1-10040002222-2-2000000000000000000-20-1-111000000000000000000000
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χ6644-4-444-24-24-4-42-42-404-2-200-422-24-4-2220000-2000000002-220000000000000000000000000000000000000000000000000000023−23000000
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χ774-44-4-24-2-42224-2-42-20-21-2−2i32i3-21-2222-1-1200−4i4i100−2i32i3i3−i3001-1-1i3i3−i3−i30000000000002i−2i−23232i−2i000000000000000000−ii3−300000000000000000
χ784-44-4-24-2-42224-2-42-20-21-22i3−2i3-21-2222-1-12004i−4i1002i3−2i3−i3i3001-1-1−i3−i3i3i3000000000000−2i2i−2323−2i2i000000000000000000i−i3−300000000000000000
χ794-44-4-24-2-42224-2-42-20-21-22i3−2i3-21-2222-1-1200−4i4i1002i3−2i3−i3i3001-1-1−i3−i3i3i30000000000002i−2i23−232i−2i000000000000000000−ii−3300000000000000000
χ804-44-4-2-242-422-242-4-201-2-2−2i32i31-2-22-1-12224i−4i00100i3−i3−2i32i3001-1-1i3i3−i3−i3000000−2i2i−2i2i23−2300000000000000000000i−i−33000000000000000000000
χ814-44-4-2-242-422-242-4-201-2-2−2i32i31-2-22-1-1222−4i4i00100i3−i3−2i32i3001-1-1i3i3−i3−i30000002i−2i2i−2i−232300000000000000000000−ii3−3000000000000000000000
χ824-44-4-2-242-422-242-4-201-2-22i3−2i31-2-22-1-12224i−4i00100−i3i32i3−2i3001-1-1−i3−i3i3i3000000−2i2i−2i2i−232300000000000000000000i−i3−3000000000000000000000
χ834-44-4-2-242-422-242-4-201-2-22i3−2i31-2-22-1-1222−4i4i00100−i3i32i3−2i3001-1-1−i3−i3i3i30000002i−2i2i−2i23−2300000000000000000000−ii−33000000000000000000000
χ844-4-44444-4-4-44-4-444-4044400-4-4-4-4-44-4440000400000000-4-440000000000000000000000000000000000000000000000000000000000000
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χ864-4-4444-2-42-44-424-2-404-2-200-4222-442-2-20000-20000000022-2000000002i3−2i30000000000000000000002i3−2i30000000000000000000000000000
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χ884-4-444-242-4-442-4-24-40-24-2002-4222-2-44-20000-20000000022-200000000000000000000002i3−2i3000000000000000000002i3−2i3000000000000000
χ894-4-444-2-222-4422-2-2-40-2-210022-1-12-22-21000010000003-3-1-113-33-30000−2i32i3000000000000−2i32i30000000i3−i300000000000i3−i3000000000000000
χ904-4-444-2-222-4422-2-2-40-2-210022-1-12-22-21000010000003-3-1-113-33-300002i3−2i30000000000002i3−2i30000000−i3i300000000000−i3i3000000000000000
χ914-4-444-2-222-4422-2-2-40-2-210022-1-12-22-2100001000000-33-1-11-33-330000−2i32i30000000000002i3−2i30000000i3−i300000000000−i3i3000000000000000
χ924-4-444-2-222-4422-2-2-40-2-210022-1-12-22-2100001000000-33-1-11-33-3300002i3−2i3000000000000−2i32i30000000−i3i300000000000i3−i3000000000000000
χ934-4-44-244-4-42-2-4-44420-2-240022-4-42-22-240000-20000000022-20000000000000000000000000023−23−23230000000000000000000000000000000
χ944-4-44-244-4-42-2-4-44420-2-240022-4-42-22-240000-20000000022-200000000000000000000000000−232323−230000000000000000000000000000000
χ958888-4-4-4-4-4-4-4-4-4-4-4-48222-4-42222222220000-1-4-4222222-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000
χ968888-4-4-4-4-4-4-4-4-4-4-4-4-8222442222222220000-144-2-2-2-2-2-2-1-1-11111000000000000000000000000000000000000000000000000000000000
χ9788-8-88-4-4-4-48-84444-80-4-420044-22-44-44-20000200000000-22-20000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-48-48-4-44-84-8440-42-4004-24-4-442-240000200000000-22-20000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-48-48-444-84-8402-4-400-244-42-2-4440000200000000-22-20000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-4-4-4-4444444022200-2-2-222-22-2-20000-1000000001-11−3i33i33i3−3i3000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-4-4-4444444022200-2-2-222-22-2-20000-1000000001-113i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000
χ1028-88-88-4-444-8-8-4-44480-4-4200-4-42-24444-200002000000002-2-20000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-44444-4-444-40222−4i34i3222-2-2-2-2-2-20000-1002i3−2i32i3−2i300-111−i3−i3i3i3000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-44444-4-444-402224i3−4i3222-2-2-2-2-2-20000-100−2i32i3−2i32i300-111i3i3−i3−i3000000000000000000000000000000000000000000000000000000000
χ1058-8-88-48-4-844-4-848-440-42-4004-2444-4-22-40000200000000-2-220000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-484-84-44-8-48402-4-400-2444-224-4-40000200000000-2-220000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-4444-444-4-44022200-2-2-2-2-22-2220000-10000006-611-1-33-33000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-4444-444-4-44022200-2-2-2-2-22-2220000-1000000-6611-13-33-3000000000000000000000000000000000000000000000000000000000

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