Finite Group Databasebeta

← Group #13172735

Character table — Group #13172735

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818181818181818182424242424242424242424242424242436363636363636367272108108
order12223336666666662333666666666662244366666666666666624446666661212121212121212121222224444121212126666612121212121212121212124466661212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-11-111111-1-1111111-1-111-1-1-1-111111111-111-1-11-11111111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111-1-11111111111111111111-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-1111-1-1-111-1-11-1-1-1
χ4111111111111111111111111111111111-1-11111111111111111-11-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-11-1-111-1-1-1-1-1-1-1111-1-1-1-1-1111
χ51111111111111111111111111111111-1-11111111111111111111-111-1-1-1-111-1-111111111-1-111-1-1-1-1-1-1-1-11-1-111-111-1-1111111-1111-1-1-1-1-11-1-1
χ61111111111111111111111111111111-1-1111111111111111111-1-1-11-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11-1-1-111-1-11-111
χ71111111111111111111111111111111-1-1-1-111111111111111111-11-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-111-11-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111
χ81111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1111111-1-11111-1-1-1-111-1-111-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-1-11-1-11111-11-11
χ101111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-111-1-1-11-1-1-111-1-1111-111-1-1111-11-1
χ111111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-1-11111111-1-1-1-1-1-1-1-1111111-1-111111111111-1-11-1-1-1-111-1-1-1-11111-1-1-1-11-1
χ121111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-111-1-1-111-1-1-1-1111111-1-1-1-1-1-111-11
χ131111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111-1-1111-1-11111-1-1-1-111-1-1-1-1-1-1111-1
χ141111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-111111111-1-11111-1-1111111-1-1-1-1-111-11111-1-111-1-11111-1-1-1-1-11
χ151111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-11-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-1-1111-1111-1-111-1-11-111-1-1111-1-11
χ161111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-11111-11-1-11111-111-1
χ17222222-1222-1-12-12222-1-1222-1-1-1-122-1-12200-12-122-1-1-1-1-1-1-1-1-1-1-1222022-1-1-1-122000022002200000000002-1-1-1-1-1-10-1-10000-1-12000-1-100-1000
χ18222222-1222-1-12-12222-1-1222-1-1-1-122-1-12200-12-122-1-1-1-1-1-1-1-1-1-1-1-22-2022-1-111220000-2-200-2-20000000000-2-1-111-110-1-1000011-200011001000
χ19222222-1222-1-12-12222-1-1222-1-1-1-122-1-1-2-200-12-122-1-1-1-1-1-1-1-1-1-1-12-220-2-211-1-1-2-200002200-2-20000000000211-1-11-10110000-1-1-200011001000
χ20222222-1222-1-12-12222-1-1222-1-1-1-122-1-1-2-200-12-122-1-1-1-1-1-1-1-1-1-1-1-2-2-20-2-21111-2-20000-2-200220000000000-21111110110000112000-1-100-1000
χ21222222-1222-1-12-122-22-1-1-2-22-1-1-1-122-1-12200-1-21-2-21111-1-1-111112-2-2022-1-1-1-1-2-20000-2-2002200000000002-1-1-1-111011000011-2000-1-1001000
χ22222222-1222-1-12-122-22-1-1-2-22-1-1-1-122-1-12200-1-21-2-21111-1-1-11111-2-22022-1-111-2-200002200-2-20000000000-2-1-1111-10110000-1-120001100-1000
χ23222222-1222-1-12-122-22-1-1-2-22-1-1-1-122-1-1-2-200-1-21-2-21111-1-1-1111122-20-2-211-1-1220000-2-200-2-20000000000211-1-1-110-1-100001120001100-1000
χ24222222-1222-1-12-122-22-1-1-2-22-1-1-1-122-1-1-2-200-1-21-2-21111-1-1-11111-2220-2-211112200002200220000000000-21111-1-10-1-10000-1-1-2000-1-1001000
χ2522222-12-12222-12-122-12-122-122-1-1-1-12-10022-1-12-1-122-1-1-1-1-1-1-1-1-120220000220022-1-1-1-122002200000000-100-1-102-100-1-1-1-1-1-102-1-100000-100
χ2622222-12-12222-12-122-12-122-122-1-1-1-12-10022-1-12-1-122-1-1-1-1-1-1-1-1-1-20-220000-2-20022-1-1112200-2-200000000100110-2-100-1-1-1-1110-21100000100
χ2722222-12-12222-12-122-12-122-122-1-1-1-12-100-2-2-1-12-1-122-1-1-1-1-1-1-1-1-1202-200002200-2-211-1-1-2-200-2-200000000-100-1-1021001111-1-10-21100000100
χ2822222-12-12222-12-122-12-122-122-1-1-1-12-100-2-2-1-12-1-122-1-1-1-1-1-1-1-1-1-20-2-20000-2-200-2-21111-2-2002200000000100110-210011111102-1-100000-100
χ2922222-12-12222-12-12-2-12-1-2-2-122-1-1-1-12-10022-11-211-2-211-1-1-1111120-2-20000220022-1-111-2-200-2-200000000-100-1-10-2100-1-11111021100000-100
χ3022222-12-12222-12-12-2-12-1-2-2-122-1-1-1-12-10022-11-211-2-211-1-1-11111-202-20000-2-20022-1-1-1-1-2-20022000000001001102100-1-111-1-10-2-1-100000100
χ3122222-12-12222-12-12-2-12-1-2-2-122-1-1-1-12-100-2-2-11-211-2-211-1-1-1111120-2200002200-2-2111122002200000000-100-1-10-2-10011-1-1110-2-1-100000100
χ3222222-12-12222-12-12-2-12-1-2-2-122-1-1-1-12-100-2-2-11-211-2-211-1-1-11111-20220000-2-200-2-211-1-12200-2-2000000001001102-10011-1-1-1-1021100000-100
χ332222-1222-1-122222-12-1-12-1-1-1-1-122-1-1-122222-122-1-1-1-122-1-1-1-1-1-1-10202-1-12200-1-1-1-12200-1-100002222-1-1-1-10-1-100202-1-1-1-1-1-100000000-1-10000
χ342222-1222-1-122222-12-1-12-1-1-1-1-122-1-1-1222-2-2-122-1-1-1-122-1-1-1-1-1-1-1020-2-1-12200-1-111-2-200110000-2-2-2-211110-1-10020-2-1-1111100000000110000
χ352222-1222-1-122222-12-1-12-1-1-1-1-122-1-1-12-2-222-122-1-1-1-122-1-1-1-1-1-1-10-20211-2-20011-1-12200-1-10000-2-2-2-2111101100-20211-1-1-1-100000000110000
χ362222-1222-1-122222-12-1-12-1-1-1-1-122-1-1-12-2-2-2-2-122-1-1-1-122-1-1-1-1-1-1-10-20-211-2-2001111-2-2001100002222-1-1-1-101100-20-211111100000000-1-10000
χ372222-1222-1-122222-1-2-1-1211-1-1-122-1-1-122222-1-2-21111-2-2-1-1-111110-20-2-1-1220011-1-1220011000022-2-211110-1-100-20-211-1-11100000000-1-10000
χ382222-1222-1-122222-1-2-1-1211-1-1-122-1-1-1222-2-2-1-2-21111-2-2-1-1-111110-202-1-122001111-2-200-1-10000-2-222-1-1-1-10-1-100-2021111-1-100000000110000
χ392222-1222-1-122222-1-2-1-1211-1-1-122-1-1-12-2-222-1-2-21111-2-2-1-1-11111020-211-2-200-1-1-1-12200110000-2-222-1-1-1-10110020-2-1-1-1-11100000000110000
χ402222-1222-1-122222-1-2-1-1211-1-1-122-1-1-12-2-2-2-2-1-2-21111-2-2-1-1-11111020211-2-200-1-111-2-200-1-1000022-2-2111101100202-1-111-1-100000000-1-10000
χ4122-2-222222-22-2-2-2-2-20222002-2-22-2-2-22-22-22i−2i2000000002-2-2000000002-22-200002i−2i2i−2i000000002i−2i00000002-200000002i−2i00000000002i−2i0000
χ4222-2-222222-22-2-2-2-2-20222002-2-22-2-2-22-22-2−2i2i2000000002-2-2000000002-22-20000−2i2i−2i2i00000000−2i2i00000002-20000000−2i2i0000000000−2i2i0000
χ4322-2-222222-22-2-2-2-2-20222002-2-22-2-2-22-2-222i−2i2000000002-2-200000000-22-2200002i−2i2i−2i00000000−2i2i0000000-2200000002i−2i0000000000−2i2i0000
χ4422-2-222222-22-2-2-2-2-20222002-2-22-2-2-22-2-22−2i2i2000000002-2-200000000-22-220000−2i2i−2i2i000000002i−2i0000000-220000000−2i2i00000000002i−2i0000
χ4522-2-2-1222-112-2-2-2-210-1-12−i3i3-1112-211-1-22-22i−2i-100−i3i3−i3i300-111−i3−i3i3i30000-112-200−i3i3−ii2i−2i003−300002i−2i0033−3−30-1100000−i3i3−ii3−300000000−ii0000
χ4622-2-2-1222-112-2-2-2-210-1-12−i3i3-1112-211-1-22-2−2i2i-100−i3i3−i3i300-111−i3−i3i3i30000-112-200−i3i3i−i−2i2i00−330000−2i2i00−3−3330-1100000−i3i3i−i−3300000000i−i0000
χ4722-2-2-1222-112-2-2-2-210-1-12−i3i3-1112-211-1-2-222i−2i-100−i3i3−i3i300-111−i3−i3i3i300001-1-2200i3−i3−ii2i−2i003−30000−2i2i00−3−33301-100000i3−i3−ii3−300000000i−i0000
χ4822-2-2-1222-112-2-2-2-210-1-12−i3i3-1112-211-1-2-22−2i2i-100−i3i3−i3i300-111−i3−i3i3i300001-1-2200i3−i3i−i−2i2i00−3300002i−2i0033−3−301-100000i3−i3i−i−3300000000−ii0000
χ4922-2-2-1222-112-2-2-2-210-1-12i3−i3-1112-211-1-22-22i−2i-100i3−i3i3−i300-111i3i3−i3−i30000-112-200i3−i3−ii2i−2i00−3300002i−2i00−3−3330-1100000i3−i3−ii−3300000000−ii0000
χ5022-2-2-1222-112-2-2-2-210-1-12i3−i3-1112-211-1-22-2−2i2i-100i3−i3i3−i300-111i3i3−i3−i30000-112-200i3−i3i−i−2i2i003−30000−2i2i0033−3−30-1100000i3−i3i−i3−300000000i−i0000
χ5122-2-2-1222-112-2-2-2-210-1-12i3−i3-1112-211-1-2-222i−2i-100i3−i3i3−i300-111i3i3−i3−i300001-1-2200−i3i3−ii2i−2i00−330000−2i2i0033−3−301-100000−i3i3−ii−3300000000i−i0000
χ5222-2-2-1222-112-2-2-2-210-1-12i3−i3-1112-211-1-2-22−2i2i-100i3−i3i3−i300-111i3i3−i3−i300001-1-2200−i3i3i−i−2i2i003−300002i−2i00−3−33301-100000−i3i3i−i3−300000000−ii0000
χ532-2-22222-2-2-2-2-2-2222022200-22-2-222-2-2-20000200000000-22-20000000000000000000000002-22-2002-22-22-20000000000000000002-22-2000000
χ542-2-22222-2-2-2-2-2-2222022200-22-2-222-2-2-20000200000000-22-20000000000000000000000002-2-2200-22-22-22000000000000000000-222-2000000
χ552-2-22222-2-2-2-2-2-2222022200-22-2-222-2-2-20000200000000-22-2000000000000000000000000-222-200-22-22-220000000000000000002-2-22000000
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χ5744444-2-2-244-2-2-2-2-244-2-2144-2-2-211-2-2-2100001-2-2-2-2-2-211111111140400000-2-2000000-2-200000000000000-200110-2000000011000000000000
χ5844444-2-2-244-2-2-2-2-244-2-2144-2-2-211-2-2-2100001-2-2-2-2-2-2111111111-40-400000220000002200000000000000200-1-1020000000-1-1000000000000
χ5944444-2-2-244-2-2-2-2-24-4-2-21-4-4-2-2-211-2-2-2100001222222-1-1111-1-1-1-140-400000-2-20000002200000000000000-20011020000000-1-1000000000000
χ6044444-2-2-244-2-2-2-2-24-4-2-21-4-4-2-2-211-2-2-2100001222222-1-1111-1-1-1-1-4040000022000000-2-200000000000000200-1-10-2000000011000000000000
χ614444-24-24-2-2-2-24-24-24-21-2-2-2-211-2-2-2-21-2440014-2-2-211-2-211111110400-2-2-2-200-2-20000000000000000000001100-20011000000000000000000
χ624444-24-24-2-2-2-24-24-24-21-2-2-2-211-2-2-2-21-2-4-40014-2-2-211-2-211111110-40022220022000000000000000000000-1-100200-1-1000000000000000000
χ634444-24-24-2-2-2-24-24-2-4-21-222-211-2-2-2-21-244001-4222-1-122111-1-1-1-10-400-2-2-2-200220000000000000000000001100200-1-1000000000000000000
χ644444-24-24-2-2-2-24-24-2-4-21-222-211-2-2-2-21-2-4-4001-4222-1-122111-1-1-1-10400222200-2-2000000000000000000000-1-100-20011000000000000000000
χ654444-2-24-2-2-244-24-2-241-2-2-2-21-2-2-2-211-2-200441-2411-2-2-2-21111111000400000000-2-2-2-200-2-20000000000000000000-200111100000000000000
χ664444-2-24-2-2-244-24-2-241-2-2-2-21-2-2-2-211-2-200-4-41-2411-2-2-2-21111111000-400000000222200220000000000000000000200-1-1-1-100000000000000
χ674444-2-24-2-2-244-24-2-2-41-2-2221-2-2-2-211-2-2004412-4-1-12222111-1-1-1-1000-400000000-2-2-2-20022000000000000000000020011-1-100000000000000
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χ7344-4-4-24-24-22-22-42-420-21-2−2i32i3-2-1-1-2222124-400100−2i32i3i3−i3001-1-1i3i3−i3−i30000-22-2200−2i32i30000000000000000000001-100000i3−i3000000000000000000
χ7444-4-4-24-24-22-22-42-420-21-2−2i32i3-2-1-1-222212-4400100−2i32i3i3−i3001-1-1i3i3−i3−i300002-22-2002i3−2i3000000000000000000000-1100000−i3i3000000000000000000
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χ7644-4-4-24-24-22-22-42-420-21-22i3−2i3-2-1-1-222212-44001002i3−2i3−i3i3001-1-1−i3−i3i3i300002-22-200−2i32i3000000000000000000000-1100000i3−i3000000000000000000
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χ7944-4-4-2-24-2-224-42-42201-2-22i3−2i3122-22-1-1-22004i−4i100−i3i32i3−2i3001-1-1−i3−i3i3i3000000000000−2i2i−2i2i00−23230000000000000000000000i−i3−300000000000000
χ8044-4-4-2-24-2-224-42-42201-2-22i3−2i3122-22-1-1-2200−4i4i100−i3i32i3−2i3001-1-1−i3−i3i3i30000000000002i−2i2i−2i0023−230000000000000000000000−ii−3300000000000000
χ814-44-4444-4-44-444-4-4-4044400-4-44-4-4-44-440000400000000-4-440000000000000000000000000000000000000000000000000000000000000000
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χ864-44-44-2-22-442-2-222-40-2-210022-2-1-12-221000010000003-3-1-113-33-300000000−2i32i3000000−2i32i300000000000000000i3−i3000000000i3−i3000000000000
χ874-44-44-2-22-442-2-222-40-2-210022-2-1-12-221000010000003-3-1-113-33-3000000002i3−2i30000002i3−2i300000000000000000−i3i3000000000−i3i3000000000000
χ884-44-44-2-22-442-2-222-40-2-210022-2-1-12-22100001000000-33-1-11-33-3300000000−2i32i30000002i3−2i300000000000000000i3−i3000000000−i3i3000000000000
χ894-44-44-2-22-442-2-222-40-2-210022-2-1-12-22100001000000-33-1-11-33-33000000002i3−2i3000000−2i32i300000000000000000−i3i3000000000i3−i3000000000000
χ904-44-4-244-42-2-444-4-420-2-240022-2-4-42-2240000-20000000022-20000000000000000000000000000000023−23−23230000000000000000000000000000
χ914-44-4-244-42-2-444-4-420-2-240022-2-4-42-2240000-20000000022-200000000000000000000000000000000−232323−230000000000000000000000000000
χ924-4-4444-2-4-4-422-4-24404-2-200-4-222-24-4220000-2000000002-220000000000000000000000004-4000000000000000000000000000000-22000000
χ934-4-4444-2-4-4-422-4-24404-2-200-4-222-24-4220000-2000000002-22000000000000000000000000-440000000000000000000000000000002-2000000
χ944-4-444-242-4-4-4-424-240-24-20024-42-2-22-420000-2000000002-22000000000000000000000000004-400000000000000000000000000-2200000000
χ954-4-444-242-4-4-4-424-240-24-20024-42-2-22-420000-2000000002-2200000000000000000000000000-44000000000000000000000000002-200000000
χ964-4-44-244-422-4-4-444-20-2-24002-22-44-222-40000-2000000002-220000000000000000000000000000004-4-22-220000000000000000000000000000
χ974-4-44-244-422-4-4-444-20-2-24002-22-44-222-40000-2000000002-22000000000000000000000000000000-442-22-20000000000000000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-48222-4-42222222220000-1-4-4222222-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4-8222442222222220000-144-2-2-2-2-2-2-1-1-11111000000000000000000000000000000000000000000000000000000000000
χ10088-8-88-4-4-48-8-44444-80-4-4200-4442-244-4-200002000000002-2-20000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-4-44-4444440222−4i34i32-2-22-2-2-22-20000-1002i3−2i32i3−2i300-111−i3−i3i3i3000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-4-4-44-44444402224i3−4i32-2-22-2-2-22-20000-100−2i32i3−2i32i300-111i3i3−i3−i3000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-48-4-84-44-484-840-42-4004-22444-4-2-40000200000000-2-220000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4844-4-88-4-84402-4-400-24-444-224-40000200000000-2-220000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-444-44-4-4444022200-2-22-2-2-22-220000-10000006-611-1-33-33000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-444-44-4-4444022200-2-22-2-2-22-220000-1000000-6611-13-33-3000000000000000000000000000000000000000000000000000000000000
χ1078-8-888-4-44-8-8444-4-480-4-42004-44-22-444-20000200000000-22-20000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-48-4-84444-8-48-40-42-40042-24-4-44-240000200000000-22-20000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-48444-8-848-4-402-4-400-2-444-42-2440000200000000-22-20000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-4444444-4-4-4022200-22-2-222-2-2-20000-1000000001-11−3i33i33i3−3i3000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-4444444-4-4-4022200-22-2-222-2-2-20000-1000000001-113i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000000

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