Finite Group Databasebeta

← Group #13171899

Character table — Group #13171899

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order1222333666666666233366666666666666666444444121212123666666666666224666612121212121212121212121212121212121244446666661212121212124444121212121212221212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111111111111111-1-111-1111-1-1-1-111-1-1-1-11-111-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111111111-11-1-1-1-111-1-1-1-1-1-11-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-11-1-11-1-1-1-1-1-11111-11
χ51111111111111111111111111111111111111-1-1111111111111111111111-111-1-111-1-11111-1-11111111111-1-1-1-11-1-1-11111-1-1111-1-11-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1-111-1-11-111-1-11111-1-1-11
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1
χ91111111111111111-1111-1-1-1-111-1-1-1-111111111111-1-111111-1-1-1-1-1111-1-1-1-1-11-1-1-1111111-1-111-1-11111-1-1-1-111-1-11-1-1-111-1-111-1-11-11-11111-1-1111-1-1-1
χ101111111111111111-1111-1-1-1-111-1-1-1-111111111111-1-111111-1-1-1-1-1111-1-1-1-1-1-11-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111111-1-1-1-1-1-1-1111
χ111111111111111111-1111-1-1-1-111-1-1-1-1111111111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-1-11-1-1-11111-1-1111111-1-1-1-1111111111-1-1-111-1-111-1-1-1-1-11-1-11111-1-1-11-11
χ121111111111111111-1111-1-1-1-111-1-1-1-1111111111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-11-1-1-1-111-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111111-11-1
χ131111111111111111-1111-1-1-1-111-1-1-1-11111111-1-111-1-111111-1-1-1-1-1111-1-1-1-111-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-11-111
χ141111111111111111-1111-1-1-1-111-1-1-1-11111111-1-111-1-111111-1-1-1-1-1111-1-1-1-11-1111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1111-1-111-1-111-1-1-11-1-1111111-11-1-1
χ151111111111111111-1111-1-1-1-111-1-1-1-11111111-1-1-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-111-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-111111-1-1-1-111-111-1
χ161111111111111111-1111-1-1-1-111-1-1-1-11111111-1-1-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-11-1111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1111-1-111-1-1111-11-11111-1-1-1-11-1-11
χ17222222-1-122222-1-1222-1-12222222222-1-1-1-1-1-122200000000-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1220000-1-1000000000022002-1-1-1-1-12-1-1-1-1-1020000-1-1000000-10
χ18222222-1-122222-1-1222-1-12222222222-1-1-1-1-1-122200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-22211220000-1-10000000000-2-200-2-1-1-111-21-1-1110-200001100000010
χ19222222-1-122222-1-1222-1-12222222222-1-1-1-1-1-12-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-222-2-2-1-1-2-20000110000000000-2-2002111-1-12-111-1-10-200001100000010
χ20222222-1-122222-1-1222-1-12222222222-1-1-1-1-1-12-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-211-2-200001100000000002200-211111-211111020000-1-1000000-10
χ21222222-1-122222-1-12-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-122200000000-111111-1-1-11111-22-2-2-2-1-1220000-1-1000000000022002111-1-1-21-1-1110-20000-1-100000010
χ22222222-1-122222-1-12-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-122200000000-111111-1-1-11111-2-22-2-211220000-1-10000000000-2-200-2111112-1-1-1-1-102000011000000-10
χ23222222-1-122222-1-12-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-12-2-200000000-111111-1-1-1111122-222-1-1-2-20000110000000000-2-2002-1-1-1-1-1-21111102000011000000-10
χ24222222-1-122222-1-12-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-12-2-200000000-111111-1-1-111112-222211-2-200001100000000002200-2-1-1-1112-111-1-10-20000-1-100000010
χ2522222-12222-1-1-12222-12-122-1-1-1-1-1-1-1-122-1-12-1-10022222222-1222-1-1-1-1-1-1-1-1-1022002200-1-1-1-10022-1-1-1-1-1-1-1-10000-1000-1-1-1200-1-1200200000000-1-100
χ2622222-12222-1-1-12222-12-122-1-1-1-1-1-1-1-122-1-12-1-10022222222-1222-1-1-1-1-1-1-1-1-10-2-200-2-200-1-1-1-10022-1-1-1-1-1-1-1-100001000111-20011-200-2000000001100
χ2722222-12222-1-1-12222-12-122-1-1-1-1-1-1-1-122-1-12-1-100-2-2-2-2-2-2-2-2-1222-1-1-1-1-1-1-1-1-1022002200111100-2-2111111110000-1000-1-1-1200-1-1-200-2000000001100
χ2822222-12222-1-1-12222-12-122-1-1-1-1-1-1-1-122-1-12-1-100-2-2-2-2-2-2-2-2-1222-1-1-1-1-1-1-1-1-10-2-200-2-200111100-2-21111111100001000111-20011200200000000-1-100
χ2922222-12222-1-1-1222-2-12-1-2-211-1-1111122-1-12-1-10022-2-22222-1-2-2-211-1-1-1111102-2002200-1-11100-2-2-1-1-1-111110000-1000-1-11-20011200-200000000-1100
χ3022222-12222-1-1-1222-2-12-1-2-211-1-1111122-1-12-1-10022-2-22222-1-2-2-211-1-1-111110-2200-2-200-1-11100-2-2-1-1-1-111110000100011-1200-1-1-2002000000001-100
χ3122222-12222-1-1-1222-2-12-1-2-211-1-1111122-1-12-1-100-2-222-2-2-2-2-1-2-2-211-1-1-1111102-200220011-1-100221111-1-1-1-10000-1000-1-11-20011-2002000000001-100
χ3222222-12222-1-1-1222-2-12-1-2-211-1-1111122-1-12-1-100-2-222-2-2-2-2-1-2-2-211-1-1-111110-2200-2-20011-1-100221111-1-1-1-10000100011-1200-1-1200-200000000-1100
χ332222-1222-1-122222-12-1-12-1-122-1-1-1-1-1-1-1-122-12-1222222-1-1-1-1-12-1-122-1-1-1-1-1-1-1200-1-100-1-1222222-1-1-1-1-1-1-1-1-1-1002202-1-10000-1-1000020-1-100-1-1000000
χ342222-1222-1-122222-12-1-12-1-122-1-1-1-1-1-1-1-122-12-122-2-2-2-21111-12-1-122-1-1-1-1-1-1-1200-1-100-1-1-2-2-2-222111111111100-2-202-1-10000-1-10000-20110011000000
χ352222-1222-1-122222-12-1-12-1-122-1-1-1-1-1-1-1-122-12-1-2-22222-1-1-1-1-12-1-122-1-1-1-1-1-1-1-2001100112222-2-2-1-1-1-1-1-1-1-1-1-100-2-20-2110000110000-20110011000000
χ362222-1222-1-122222-12-1-12-1-122-1-1-1-1-1-1-1-122-12-1-2-2-2-2-2-21111-12-1-122-1-1-1-1-1-1-1-200110011-2-2-2-2-2-2111111111100220-211000011000020-1-100-1-1000000
χ372222-1222-1-122222-1-2-1-1211-2-2-1-11111-1-122-12-12222-2-2-1-1-1-1-1-211-2-2-1-1-11111-2001100-1-122-2-22211-1-1-1-1111100-2-20-2110000-1-1000020-1-10011000000
χ382222-1222-1-122222-1-2-1-1211-2-2-1-11111-1-122-12-122-2-2221111-1-211-2-2-1-1-11111-2001100-1-1-2-22222-1-11111-1-1-1-100220-2110000-1-10000-201100-1-1000000
χ392222-1222-1-122222-1-2-1-1211-2-2-1-11111-1-122-12-1-2-222-2-2-1-1-1-1-1-211-2-2-1-1-11111200-1-1001122-2-2-2-211-1-1-1-11111002202-1-10000110000-201100-1-1000000
χ402222-1222-1-122222-1-2-1-1211-2-2-1-11111-1-122-12-1-2-2-2-2221111-1-211-2-2-1-1-11111200-1-10011-2-222-2-2-1-11111-1-1-1-100-2-202-1-1000011000020-1-10011000000
χ4122-2-2222-22-22-2-22-2-2022200002-20000-2-22-22-2-22-2002i−2i00002000002-2-2000000000002-2002i−2i2-22i−2i00002i2i−2i−2i002i−2i000000002-200000000002i−2i000000
χ4222-2-2222-22-22-2-22-2-2022200002-20000-2-22-22-2-22-200−2i2i00002000002-2-2000000000002-200−2i2i2-2−2i2i0000−2i−2i2i2i00−2i2i000000002-20000000000−2i2i000000
χ4322-2-2222-22-22-2-22-2-2022200002-20000-2-22-22-2-2-22002i−2i00002000002-2-200000000000-22002i−2i-222i−2i00002i2i−2i−2i00−2i2i00000000-220000000000−2i2i000000
χ4422-2-2222-22-22-2-22-2-2022200002-20000-2-22-22-2-2-2200−2i2i00002000002-2-200000000000-2200−2i2i-22−2i2i0000−2i−2i2i2i002i−2i00000000-2200000000002i−2i000000
χ4522-2-2-122-2-112-2-22-210-1-12−i3i300-11−i3−i3i3i3112-2-1-212-2002i−2i33−3−3-10−i3i300-111−i3−i3i3i3000−i3i300-11002i−2i2-2−ii33−3−3−i−iii002i−2i00−i3i30000-110000003−300−ii000000
χ4622-2-2-122-2-112-2-22-210-1-12−i3i300-11−i3−i3i3i3112-2-1-212-200−2i2i−3−333-10−i3i300-111−i3−i3i3i3000−i3i300-1100−2i2i2-2i−i−3−333ii−i−i00−2i2i00−i3i30000-11000000−3300i−i000000
χ4722-2-2-122-2-112-2-22-210-1-12−i3i300-11−i3−i3i3i3112-2-1-21-22002i−2i33−3−3-10−i3i300-111−i3−i3i3i3000i3−i3001-1002i−2i-22−ii33−3−3−i−iii00−2i2i00i3−i300001-1000000−3300i−i000000
χ4822-2-2-122-2-112-2-22-210-1-12−i3i300-11−i3−i3i3i3112-2-1-21-2200−2i2i−3−333-10−i3i300-111−i3−i3i3i3000i3−i3001-100−2i2i-22i−i−3−333ii−i−i002i−2i00i3−i300001-10000003−300−ii000000
χ4922-2-2-122-2-112-2-22-210-1-12i3−i300-11i3i3−i3−i3112-2-1-212-2002i−2i−3−333-10i3−i300-111i3i3−i3−i3000i3−i300-11002i−2i2-2−ii−3−333−i−iii002i−2i00i3−i30000-11000000−3300−ii000000
χ5022-2-2-122-2-112-2-22-210-1-12i3−i300-11i3i3−i3−i3112-2-1-212-200−2i2i33−3−3-10i3−i300-111i3i3−i3−i3000i3−i300-1100−2i2i2-2i−i33−3−3ii−i−i00−2i2i00i3−i30000-110000003−300i−i000000
χ5122-2-2-122-2-112-2-22-210-1-12i3−i300-11i3i3−i3−i3112-2-1-21-22002i−2i−3−333-10i3−i300-111i3i3−i3−i3000−i3i3001-1002i−2i-22−ii−3−333−i−iii00−2i2i00−i3i300001-10000003−300i−i000000
χ5222-2-2-122-2-112-2-22-210-1-12i3−i300-11i3i3−i3−i3112-2-1-21-2200−2i2i33−3−3-10i3−i300-111i3i3−i3−i3000−i3i3001-100−2i2i-22i−i33−3−3ii−i−i002i−2i00−i3i300001-1000000−3300−ii000000
χ532-2-222222-22-22-2-2-2-202220000-2200002-2-22-2-2-2002i−2i002i−2i2i−2i200000-22-200000000000002i−2i0000002i−2i2i−2i00002i−2i000000000000000000002i−2i002-20000
χ542-2-222222-22-22-2-2-2-202220000-2200002-2-22-2-2-2002i−2i002i−2i2i−2i200000-22-200000000000002i−2i0000002i−2i2i−2i0000−2i2i00000000000000000000−2i2i00-220000
χ552-2-222222-22-22-2-2-2-202220000-2200002-2-22-2-2-200−2i2i00−2i2i−2i2i200000-22-20000000000000−2i2i000000−2i2i−2i2i00002i−2i000000000000000000002i−2i00-220000
χ562-2-222222-22-22-2-2-2-202220000-2200002-2-22-2-2-200−2i2i00−2i2i−2i2i200000-22-20000000000000−2i2i000000−2i2i−2i2i0000−2i2i00000000000000000000−2i2i002-20000
χ5744444-2-2-244-2-2-2-2-244-2-2144-2-2-2-2-2-2-2-2-2-211-21-200000000001-2-2-211111111104400-2-20000000000000000000000-200011-2-200110000000000000000
χ5844444-2-2-244-2-2-2-2-244-2-2144-2-2-2-2-2-2-2-2-2-211-21-200000000001-2-2-21111111110-4-4002200000000000000000000002000-1-12200-1-10000000000000000
χ5944444-2-2-244-2-2-2-2-24-4-2-21-4-422-2-22222-2-211-21-200000000001222-1-1111-1-1-1-104-400-2-20000000000000000000000-2000112200-1-10000000000000000
χ6044444-2-2-244-2-2-2-2-24-4-2-21-4-422-2-22222-2-211-21-200000000001222-1-1111-1-1-1-10-44002200000000000000000000002000-1-1-2-200110000000000000000
χ614444-24-2-2-2-2444-2-2-24-21-2-2-244-2-2-2-2-2-211-2-21-2-244000000001-211-2-21111111400-2-200-2-20000-2-2000000000000000-211000011000000000000000000
χ624444-24-2-2-2-2444-2-2-24-21-2-2-244-2-2-2-2-2-211-2-21-2-2-4-4000000001-211-2-21111111-4002200220000220000000000000002-1-10000-1-1000000000000000000
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χ644444-24-2-2-2-2444-2-2-2-4-21-222-4-4-2-2222211-2-21-2-2-4-40000000012-1-122111-1-1-1-1400-2-20022000022000000000000000-2110000-1-1000000000000000000
χ654444-2-244-2-2-2-2-244-241-2-2-2-2-2-2111111-2-2-2-2-2-21004444-2-2-2-214-2-2-2-21111111000000000-2-2-2-200-2-21111111100000000000000000000000000000000
χ664444-2-244-2-2-2-2-244-241-2-2-2-2-2-2111111-2-2-2-2-2-2100-4-4-4-4222214-2-2-2-2111111100000000022220022-1-1-1-1-1-1-1-100000000000000000000000000000000
χ674444-2-244-2-2-2-2-244-2-41-2-2222211-1-1-1-1-2-2-2-2-2-210044-4-4-2-2-2-21-42222111-1-1-1-1000000000-2-22200221111-1-1-1-100000000000000000000000000000000
χ684444-2-244-2-2-2-2-244-2-41-2-2222211-1-1-1-1-2-2-2-2-2-2100-4-44422221-42222111-1-1-1-100000000022-2-200-2-2-1-1-1-1111100000000000000000000000000000000
χ6944-4-444-224-44-4-4-22-404-2-200004-4000022-22-22-44-400000000-200000-222000000000004-40000-220000000000000000000000-22000000000000000000
χ7044-4-444-224-44-4-4-22-404-2-200004-4000022-22-22-4-4400000000-200000-22200000000000-4400002-200000000000000000000002-2000000000000000000
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χ7244-4-44-24-44-4-2224-4-40-24-20000-220000-4-4-224220000−4i4i0000-200000-2220000000000000002i−2i00−4i4i00002i2i−2i−2i00000000000000000000000000000000
χ7344-4-4-24-22-224-4-4-2220-21-2−2i32i300-22−2i3−2i32i32i3-1-1-221224-40000000010i3−i3001-1-1i3i3−i3−i3000−2i32i300-220000-220000000000000000i3−i300001-1000000000000000000
χ7444-4-4-24-22-224-4-4-2220-21-2−2i32i300-22−2i3−2i32i32i3-1-1-22122-440000000010i3−i3001-1-1i3i3−i3−i30002i3−2i3002-200002-20000000000000000−i3i30000-11000000000000000000
χ7544-4-4-24-22-224-4-4-2220-21-22i3−2i300-222i32i3−2i3−2i3-1-1-221224-40000000010−i3i3001-1-1−i3−i3i3i30002i3−2i300-220000-220000000000000000−i3i300001-1000000000000000000
χ7644-4-4-24-22-224-4-4-2220-21-22i3−2i300-222i32i3−2i3−2i3-1-1-22122-440000000010−i3i3001-1-1−i3−i3i3i3000−2i32i3002-200002-20000000000000000i3−i30000-11000000000000000000
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Here i is the imaginary unit (i² = −1).