Finite Group Databasebeta

← Group #13172159

Character table — Group #13172159

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818182424242424242424242424242424242436363636363636363636367272108108
order1222333666666666233366666666666444436666666666666662444661212121212121212121212121212226666666121212121212121212121212122244466661212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-111-1-11111111111-1-111111111-1-1-111-111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-11111111111111111111-111111111-1-1-1-111-1-1-1-1-1-1-1-1111-1111111-1-1-1-111-11-1-1111-1-1-1-1-11-1-1
χ4111111111111111111111111111111111-1-11111111111111111-1-11-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-111-1-1-1-1-1111-111
χ51111111111111111111111111111111-1-111111111111111111111-1111-1-1-1-1-1-111111111-1-1-1-1-1-11111-11-1-1-1-1111111-1-111-1-1-1-1-1111-1-1-1
χ61111111111111111111111111111111-1-1111111111111111111-1-1-11-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-11-1-1111-1-1-1-1-1111
χ71111111111111111111111111111111-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-111
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
χ91111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1111111-1-111-1-1-1-111111111111-1-1-111-1-111-1-1-1-1-1-11-11-1-1-1-111-111-1
χ101111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1111-1-111-1-111-11-11-111-1-1-1-11-1-11
χ111111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11-1-111-1-111-1-111-11
χ121111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-11111111-1-1111111-1-11-1
χ131111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-11-11-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111-11-1-1-11111-1-1-1-1111-1-1111111-1-1-11
χ141111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111-1-111-1-111-1-1111-1
χ151111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-11111-1-1-1-111-1-111-1-1-1-111111111111-1-1-111-1-111-1-1-11-11-111-1-1-1-11-11-1
χ161111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-111-1-11111-1-1111111-1-1-1111-1-111-1-11111-1-11-11-1-1-1-111-11-11
χ17222222-12-122-1-12222-1-12-1-1-1-122-1-1-1-122222-122-1-1-1-122-1-1-1-1-1-1-100220022-1-1-1-1-1-1-1-1002222-1-1-1-1000220-1-1-1-1-1-1-1-1002000000-1-1000000
χ18222222-12-122-1-12222-1-12-1-1-1-122-1-1-1-1222-2-2-122-1-1-1-122-1-1-1-1-1-1-1002-20022-1-1-1-1111100-2-2-2-21111000-220-1-1-1-1111100-200000011000000
χ19222222-12-122-1-12222-1-12-1-1-1-122-1-1-1-12-2-222-122-1-1-1-122-1-1-1-1-1-1-100-2200-2-21111-1-1-1-10022-2-211110002-201111-1-1-1-100-200000011000000
χ20222222-12-122-1-12222-1-12-1-1-1-122-1-1-1-12-2-2-2-2-122-1-1-1-122-1-1-1-1-1-1-100-2-200-2-21111111100-2-222-1-1-1-1000-2-2011111111002000000-1-1000000
χ21222222-12-122-1-1222-2-1-1211-1-122-1-1-1-122222-1-2-21111-2-2-1-1-1111100-2-20022-1-111-1-111002222-1-1-1-1000-2-20-1-111-1-11100-200000011000000
χ22222222-12-122-1-1222-2-1-1211-1-122-1-1-1-1222-2-2-1-2-21111-2-2-1-1-1111100-220022-1-11111-1-100-2-2-2-211110002-20-1-11111-1-1002000000-1-1000000
χ23222222-12-122-1-1222-2-1-1211-1-122-1-1-1-12-2-222-1-2-21111-2-2-1-1-11111002-200-2-211-1-1-1-1110022-2-21111000-22011-1-1-1-111002000000-1-1000000
χ24222222-12-122-1-1222-2-1-1211-1-122-1-1-1-12-2-2-2-2-1-2-21111-2-2-1-1-11111002200-2-211-1-111-1-100-2-222-1-1-1-100022011-1-111-1-100-200000011000000
χ2522222-12-122-1222-1222-1-1222-1-1-122-1-1-12200-12-122-1-1-1-1-1-1-1-1-1-1-1222022-1-122220000-1-100000000-1-1-10-12-1-1-1-10000-1-102002-1-100000-100
χ2622222-12-122-1222-1222-1-1222-1-1-122-1-1-12200-12-122-1-1-1-1-1-1-1-1-1-1-1-2-220-2-2-1-12222000011000000001110-1-2-1-1-1-10000110-200-21100000100
χ2722222-12-122-1222-1222-1-1222-1-1-122-1-1-1-2-200-12-122-1-1-1-1-1-1-1-1-1-1-122-202211-2-2-2-20000-1-100000000-1-1-101211110000-1-10-200-21100000100
χ2822222-12-122-1222-1222-1-1222-1-1-122-1-1-1-2-200-12-122-1-1-1-1-1-1-1-1-1-1-1-2-2-20-2-211-2-2-2-20000110000000011101-2111100001102002-1-100000-100
χ2922222-12-122-1222-12-22-1-1-2-22-1-1-122-1-1-12200-1-21-2-21111-1-1-111112-2-2022-1-122-2-200001100000000-1-1-101-2-1-1110000110-20021100000-100
χ3022222-12-122-1222-12-22-1-1-2-22-1-1-122-1-1-12200-1-21-2-21111-1-1-11111-22-20-2-2-1-122-2-20000-1-100000000111012-1-1110000-1-10200-2-1-100000100
χ3122222-12-122-1222-12-22-1-1-2-22-1-1-122-1-1-1-2-200-1-21-2-21111-1-1-111112-2202211-2-22200001100000000-1-1-10-1-211-1-10000110200-2-1-100000100
χ3222222-12-122-1222-12-22-1-1-2-22-1-1-122-1-1-1-2-200-1-21-2-21111-1-1-11111-2220-2-211-2-2220000-1-1000000001110-1211-1-10000-1-10-20021100000-100
χ332222-12222-1222-12-12-12-122-12-1-1-1-122-10022-1-12-1-122-1-1-1-1-1-1-1-1-12202-1-1000000222222-1-10000002-1-1-10-10000-1-1-1-1-1-1002200000-1-1-1000
χ342222-12222-1222-12-12-12-122-12-1-1-1-122-10022-1-12-1-122-1-1-1-1-1-1-1-1-1-2-202110000002222-2-2-1-1000000-211-1010000-1-1-1-11100-2-200000111000
χ352222-12222-1222-12-12-12-122-12-1-1-1-122-100-2-2-1-12-1-122-1-1-1-1-1-1-1-1-1220-2-1-1000000-2-2-2-222110000002-1-110-100001111-1-100-2-200000111000
χ362222-12222-1222-12-12-12-122-12-1-1-1-122-100-2-2-1-12-1-122-1-1-1-1-1-1-1-1-1-2-20-211000000-2-2-2-2-2-211000000-2111010000111111002200000-1-1-1000
χ372222-12222-1222-12-1-2-12-1-2-2-12-1-1-1-122-10022-11-211-2-211-1-1-111112-20-2-1-100000022-2-2-2-2-1-10000002-1-11010000-1-11111002-200000-1-11000
χ382222-12222-1222-12-1-2-12-1-2-2-12-1-1-1-122-10022-11-211-2-211-1-1-11111-220-21100000022-2-222-1-1000000-21110-10000-1-111-1-100-220000011-1000
χ392222-12222-1222-12-1-2-12-1-2-2-12-1-1-1-122-100-2-2-11-211-2-211-1-1-111112-202-1-1000000-2-222-2-2110000002-1-1-101000011-1-11100-220000011-1000
χ402222-12222-1222-12-1-2-12-1-2-2-12-1-1-1-122-100-2-2-11-211-2-211-1-1-11111-220211000000-2-2222211000000-211-10-1000011-1-1-1-1002-200000-1-11000
χ412-22-222222-2-2-2-22-2-2022200222-2-2-2-2-2-22i−2i2i−2i2000000002-2-200000000002i−2i2i−2i002i−2i00002i−2i2-222-2-20000002i−2i002i−2i0000000000000000000
χ422-22-222222-2-2-2-22-2-2022200222-2-2-2-2-2-22i−2i−2i2i2000000002-2-200000000002i−2i2i−2i00−2i2i0000−2i2i-22-2-2220000002i−2i00−2i2i0000000000000000000
χ432-22-222222-2-2-2-22-2-2022200222-2-2-2-2-2-2−2i2i2i−2i2000000002-2-20000000000−2i2i−2i2i002i−2i00002i−2i-22-2-222000000−2i2i002i−2i0000000000000000000
χ442-22-222222-2-2-2-22-2-2022200222-2-2-2-2-2-2−2i2i−2i2i2000000002-2-20000000000−2i2i−2i2i00−2i2i0000−2i2i2-222-2-2000000−2i2i00−2i2i0000000000000000000
χ452-22-222-12-1-2-2112-2-20-1-12−i3i3-1-12-21111-22i−2i2i−2i-100−i3i3−i3i300-111−i3−i3i3i30000002i−2i−ii3−3−ii3−3002i−2i2-2-1-111000000−ii3−3−ii3−3000000000−i3i3000000
χ462-22-222-12-1-2-2112-2-20-1-12−i3i3-1-12-21111-22i−2i−2i2i-100−i3i3−i3i300-111−i3−i3i3i30000002i−2i−ii3−3i−i−3300−2i2i-2211-1-1000000−ii3−3i−i−33000000000i3−i3000000
χ472-22-222-12-1-2-2112-2-20-1-12−i3i3-1-12-21111-2−2i2i2i−2i-100−i3i3−i3i300-111−i3−i3i3i3000000−2i2ii−i−33−ii3−3002i−2i-2211-1-1000000i−i−33−ii3−3000000000i3−i3000000
χ482-22-222-12-1-2-2112-2-20-1-12−i3i3-1-12-21111-2−2i2i−2i2i-100−i3i3−i3i300-111−i3−i3i3i3000000−2i2ii−i−33i−i−3300−2i2i2-2-1-111000000i−i−33i−i−33000000000−i3i3000000
χ492-22-222-12-1-2-2112-2-20-1-12i3−i3-1-12-21111-22i−2i2i−2i-100i3−i3i3−i300-111i3i3−i3−i30000002i−2i−ii−33−ii−33002i−2i2-2-1-111000000−ii−33−ii−33000000000i3−i3000000
χ502-22-222-12-1-2-2112-2-20-1-12i3−i3-1-12-21111-22i−2i−2i2i-100i3−i3i3−i300-111i3i3−i3−i30000002i−2i−ii−33i−i3−300−2i2i-2211-1-1000000−ii−33i−i3−3000000000−i3i3000000
χ512-22-222-12-1-2-2112-2-20-1-12i3−i3-1-12-21111-2−2i2i2i−2i-100i3−i3i3−i300-111i3i3−i3−i3000000−2i2ii−i3−3−ii−33002i−2i-2211-1-1000000i−i3−3−ii−33000000000−i3i3000000
χ522-22-222-12-1-2-2112-2-20-1-12i3−i3-1-12-21111-2−2i2i−2i2i-100i3−i3i3−i300-111i3i3−i3−i3000000−2i2ii−i3−3i−i3−300−2i2i2-2-1-111000000i−i3−3i−i3−3000000000i3−i3000000
χ5344444-2-2-2-24-2-2-24-244-21-2-2-2-21-2-2-2-211-2440014-2-2-211-2-21111111004000-2-2-2-2-2-2000000000000000000-201111000000000000000000000
χ5444444-2-2-2-24-2-2-24-244-21-2-2-2-21-2-2-2-211-2-4-40014-2-2-211-2-2111111100-400022222200000000000000000020-1-1-1-1000000000000000000000
χ5544444-2-2-2-24-2-2-24-24-4-21-222-21-2-2-2-211-244001-4222-1-122111-1-1-1-100-4000-2-2-2-2220000000000000000002011-1-1000000000000000000000
χ5644444-2-2-2-24-2-2-24-24-4-21-222-21-2-2-2-211-2-4-4001-4222-1-122111-1-1-1-10040002222-2-2000000000000000000-20-1-111000000000000000000000
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χ584444-24-24-2-24-2-2-24-241-2-2-2-21-2-2-211-2-2-200-4-41-2411-2-2-2-21111111000-400000000222200220000000002000000-1-1-1-100000000000000000
χ594444-24-24-2-24-2-2-24-2-41-2-2221-2-2-211-2-2-2004412-4-1-12222111-1-1-1-1000-400000000-2-22200-2-2000000000200000011-1-100000000000000000
χ604444-24-24-2-24-2-2-24-2-41-2-2221-2-2-211-2-2-200-4-412-4-1-12222111-1-1-1-100040000000022-2-20022000000000-2000000-1-11100000000000000000
χ614444-2-24-24-2-244-2-2-24-2-2144-2-211-2-2-2-2100001-2-2-2-2-2-21111111114400-2-20000000000-2-200000000-21100-20000000011000000000000000
χ624444-2-24-24-2-244-2-2-24-2-2144-2-211-2-2-2-2100001-2-2-2-2-2-2111111111-4-40022000000000022000000002-1-100200000000-1-1000000000000000
χ634444-2-24-24-2-244-2-2-2-4-2-21-4-4-2-211-2-2-2-2100001222222-1-1111-1-1-1-14-400-2-200000000002200000000-21100200000000-1-1000000000000000
χ644444-2-24-24-2-244-2-2-2-4-2-21-4-4-2-211-2-2-2-2100001222222-1-1111-1-1-1-1-4400220000000000-2-2000000002-1-100-20000000011000000000000000
χ6544-4-4444-4-4-444-4-4-44044400-4-4-4-44-44-440000400000000-44-40000000000000000000000000000000000000000000000000000000000000
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χ7544-4-4-2-242-42-24-422-20-2-210022-1-1-22-22100001000000-33-11-1-33-3300002i3−2i30000000000−2i32i3000000000−i3i300000000000i3−i3000000000000000
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χ794-44-44-2-2-2-2-422242-40-21-2−2i32i3-21-2222-1-12−4i4i00100−2i32i3i3−i3001-1-1i3i3−i3−i30000002i−2i2i−2i−232300000000000000000000−ii3−3000000000000000000000
χ804-44-44-2-2-2-2-422242-40-21-22i3−2i3-21-2222-1-124i−4i001002i3−2i3−i3i3001-1-1−i3−i3i3i3000000−2i2i−2i2i−232300000000000000000000i−i3−3000000000000000000000
χ814-44-44-2-2-2-2-422242-40-21-22i3−2i3-21-2222-1-12−4i4i001002i3−2i3−i3i3001-1-1−i3−i3i3i30000002i−2i2i−2i23−2300000000000000000000−ii−33000000000000000000000
χ824-44-4-244442-4-4-4-2-420-24-200-24-2222-4-42004i−4i-200000000-22200000000000000004i−4i0000−2i2i0000000000000000−2i2i0000000000000000000
χ834-44-4-244442-4-4-4-2-420-24-200-24-2222-4-4200−4i4i-200000000-2220000000000000000−4i4i00002i−2i00000000000000002i−2i0000000000000000000
χ844-44-4-24-24-22-422-2-4201-2-2−2i32i31-2-22-1-1222004i−4i100i3−i3−2i32i3001-1-1i3i3−i3−i3000000000000−2i2i23−2300−2i2i0000000000000000i−i−3300000000000000000
χ854-44-4-24-24-22-422-2-4201-2-2−2i32i31-2-22-1-122200−4i4i100i3−i3−2i32i3001-1-1i3i3−i3−i30000000000002i−2i−2323002i−2i0000000000000000−ii3−300000000000000000
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χ874-44-4-24-24-22-422-2-4201-2-22i3−2i31-2-22-1-122200−4i4i100−i3i32i3−2i3001-1-1−i3−i3i3i30000000000002i−2i23−23002i−2i0000000000000000−ii−3300000000000000000
χ884-4-44444-4-44-4-44-44-4044400-4-4-44-44-44-40000400000000-4-440000000000000000000000000000000000000000000000000000000000000
χ894-4-4444-2-424-42-2-44-40-2-240022-442-22-2-40000-20000000022-200000000000000000000000000−2i32i32i3−2i30000000000000000000000000000000
χ904-4-4444-2-424-42-2-44-40-2-240022-442-22-2-40000-20000000022-2000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000000
χ914-4-444-242-442-44-4-2-404-2-200-422-2-442-220000-20000000022-2000000000000000000000000000000000000000000000000000−2i32i300000000
χ924-4-444-242-442-44-4-2-404-2-200-422-2-442-220000-20000000022-20000000000000000000000000000000000000000000000000002i3−2i300000000
χ934-4-44-244-4-4-2-4-442420-24-2002-42-22-2-4420000-20000000022-2000000000000000000000000000000000000000000000000000000023−230000
χ944-4-44-244-4-4-2-4-442420-24-2002-42-22-2-4420000-20000000022-20000000000000000000000000000000000000000000000000000000−23230000
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
χ9788-8-88-4-444-8-4-44-8480-42-4004-244-442-2-40000200000000-22-20000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-48-4-8448-444-8-402-4-400-24442-2-44-40000200000000-22-20000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4-4444-4-4444-4022200-2-2-2-22-22-220000-10000006-61-11-33-33000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-4444-4-4444-4022200-2-2-2-22-22-220000-1000000-661-113-33-3000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-48-4844-8-8-4440-4-4200-4-42-24444-200002000000002-2-20000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4-4-4-44444-4440222−4i34i3222-2-2-2-2-2-20000-1002i3−2i32i3−2i300-111−i3−i3i3i3000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-4-4-44444-44402224i3−4i3222-2-2-2-2-2-20000-100−2i32i3−2i32i300-111i3i3−i3−i3000000000000000000000000000000000000000000000000000000000
χ1048-8-888-4-444844-4-8-4-80-42-4004-24-44-4-2240000200000000-2-220000000000000000000000000000000000000000000000000000000000000
χ1058-8-88-48-4-84-4-84-448402-4-400-244-4-224-440000200000000-2-220000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-484-8-44-884-440-4-420044-224-44-4-20000200000000-2-220000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-444-444-44-44022200-2-2-22-22-22-20000-10000000011-1−3i33i33i3−3i3000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-444-444-44-44022200-2-2-22-22-22-20000-10000000011-13i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000

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