Finite Group Databasebeta

← Group #13172899

Character table — Group #13172899

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666668888888888888888121212121212121212121212121212121212121818181818181818242424242424242424242424242424243636363636363636363654547272108
order12223336666666662333666666666664444443666666666666666224661212121212121212121212121212444412121212666666612121212121212121222446612121212446122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1111111111111111111-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-11111-1-1-1-11-11-1-1-111-1-1-1-11-1-1
χ3111111111111111111111111111111111-1-11111111111111111111-11111111-1-111-1-1111111111111-11-111-1-1111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-111-1-1-1-1-1-1-11-1111-1-1-1-111-111
χ51111111111111111111111111111111-1-111111111111111111111-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-1-1111-1-1111111-11-1111-1-1-1-1-1-1-11-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-11-1-1-1-1-1-1-111-1-111-1-1-1-1111111111-11-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ71111111111111111111111111111111-1-1-1-1111111111111111111-1-11-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-11-1-1-111-1-1111-11
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
χ91111111111111111-1111-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1111111-1-1-1-11
χ101111111111111111-1111-1-11111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-111111-1-111-1-111-1-111-1-111-11-1
χ111111111111111111-1111-1-111111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11-11-1-111-111-1-111-1-11-1-11-1-1-1-1111111-1
χ121111111111111111-1111-1-111111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111111-11-1-111111-1-1-1-11111-1-111-1-1-1-1-1-11-11
χ131111111111111111-1111-1-1111111111-1-111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-111-1-1-1-111-1-1111111-1-1111111-11-111-1-1-1-1-11111-1-111-1-111-1-1-1-1111-1-1
χ141111111111111111-1111-1-1111111111-1-111-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-1111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-11-111-1-11-1-111-1-1111-1-11-1-1-1-111-1-1111
χ151111111111111111-1111-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-1111-1-1-1-111-111-1-1-1-1-1-1-1-1-1-11111-1-11111111111111-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-111
χ161111111111111111-1111-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-111-111111111-1-1-1
χ17222222-1222-1-12-12222-1-1222-1-1-1-122-1-1222200-12-122-1-1-1-1-1-1-1-1-1-1-12202222-1-1-1-100220000000000002-1-1-1-1-1-10-1-1-1-10000202000-1-10000-100
χ18222222-1222-1-12-12222-1-1222-1-1-1-122-1-122-2-200-12-122-1-1-1-1-1-1-1-1-1-1-12-202222-1-11100-2-2000000000000-2-11-1-1110-1-1110000-20-2000110000100
χ19222222-1222-1-12-12222-1-1222-1-1-1-122-1-1-2-22200-12-122-1-1-1-1-1-1-1-1-1-1-1-220-2-2-2-211-1-1002200000000000021-111-1-1011-1-10000-20-2000110000100
χ20222222-1222-1-12-12222-1-1222-1-1-1-122-1-1-2-2-2-200-12-122-1-1-1-1-1-1-1-1-1-1-1-2-20-2-2-2-2111100-2-2000000000000-2111111011110000202000-1-10000-100
χ21222222-1222-1-12-122-22-1-1-2-22-1-1-1-122-1-1222200-1-21-2-21111-1-1-11111-2-20-2-222-1-1-1-10022000000000000-21111110-1-1-1-10000-202000-1-10000100
χ22222222-1222-1-12-122-22-1-1-2-22-1-1-1-122-1-122-2-200-1-21-2-21111-1-1-11111-220-2-222-1-11100-2-200000000000021-111-1-10-1-111000020-2000110000-100
χ23222222-1222-1-12-122-22-1-1-2-22-1-1-1-122-1-1-2-22200-1-21-2-21111-1-1-111112-2022-2-211-1-10022000000000000-2-11-1-111011-1-1000020-2000110000-100
χ24222222-1222-1-12-122-22-1-1-2-22-1-1-1-122-1-1-2-2-2-200-1-21-2-21111-1-1-1111122022-2-2111100-2-20000000000002-1-1-1-1-1-1011110000-202000-1-10000100
χ2522222-12-12222-12-122-12-122-122-1-1-1-12-1002222-1-12-1-122-1-1-1-1-1-1-1-1-10220000002222-1-1-1-12200000000-10200-1-1-100-1-1-1-1-1-10202-1-10000000-10
χ2622222-12-12222-12-122-12-122-122-1-1-1-12-10022-2-2-1-12-1-122-1-1-1-1-1-1-1-1-102-200000022-2-2-1-111-2-200000000-10200-1-1100-1-111110-20-211000000010
χ2722222-12-12222-12-122-12-122-122-1-1-1-12-100-2-222-1-12-1-122-1-1-1-1-1-1-1-1-10-22000000-2-22211-1-1220000000010-20011-10011-1-1-1-10-20-211000000010
χ2822222-12-12222-12-122-12-122-122-1-1-1-12-100-2-2-2-2-1-12-1-122-1-1-1-1-1-1-1-1-10-2-2000000-2-2-2-21111-2-20000000010-200111001111110202-1-10000000-10
χ2922222-12-12222-12-12-2-12-1-2-2-122-1-1-1-12-1002222-11-211-2-211-1-1-111110-2-200000022-2-2-1-1-1-1220000000010-20011100-1-1-1-111020-2-1-1000000010
χ3022222-12-12222-12-12-2-12-1-2-2-122-1-1-1-12-10022-2-2-11-211-2-211-1-1-111110-220000002222-1-111-2-20000000010-20011-100-1-111-1-10-202110000000-10
χ3122222-12-12222-12-12-2-12-1-2-2-122-1-1-1-12-100-2-222-11-211-2-211-1-1-1111102-2000000-2-2-2-211-1-12200000000-10200-1-110011-1-1110-202110000000-10
χ3222222-12-12222-12-12-2-12-1-2-2-122-1-1-1-12-100-2-2-2-2-11-211-2-211-1-1-11111022000000-2-2221111-2-200000000-10200-1-1-1001111-1-1020-2-1-1000000010
χ332222-1222-1-122222-12-1-12-1-1-1-1-122-1-1-12220022-122-1-1-1-122-1-1-1-1-1-1-1202-1-1-1-12200-1-10022-1-12222-1-1-1-1020-1-1002-1-100-1-1-1-100000000-1-100000
χ342222-1222-1-122222-12-1-12-1-1-1-1-122-1-1-122200-2-2-122-1-1-1-122-1-1-1-1-1-1-120-2-1-1-1-122001100-2-211-2-2-2-21111020-1-100-2-1-1001111000000001100000
χ352222-1222-1-122222-12-1-12-1-1-1-1-122-1-1-12-2-20022-122-1-1-1-122-1-1-1-1-1-1-1-2021111-2-200-1-10022-1-1-2-2-2-211110-20110021100-1-1-1-1000000001100000
χ362222-1222-1-122222-12-1-12-1-1-1-1-122-1-1-12-2-200-2-2-122-1-1-1-122-1-1-1-1-1-1-1-20-21111-2-2001100-2-2112222-1-1-1-10-201100-21100111100000000-1-100000
χ372222-1222-1-122222-1-2-1-1211-1-1-122-1-1-12220022-1-2-21111-2-2-1-1-11111-20-211-1-12200110022-1-122-2-211110-201100-2-1-100-1-11100000000-1-100000
χ382222-1222-1-122222-1-2-1-1211-1-1-122-1-1-122200-2-2-1-2-21111-2-2-1-1-11111-20211-1-12200-1-100-2-211-2-222-1-1-1-10-2011002-1-10011-1-1000000001100000
χ392222-1222-1-122222-1-2-1-1211-1-1-122-1-1-12-2-20022-1-2-21111-2-2-1-1-1111120-2-1-111-2-200110022-1-1-2-222-1-1-1-1020-1-100-21100-1-111000000001100000
χ402222-1222-1-122222-1-2-1-1211-1-1-122-1-1-12-2-200-2-2-1-2-21111-2-2-1-1-11111202-1-111-2-200-1-100-2-21122-2-21111020-1-1002110011-1-100000000-1-100000
χ4122-2-222222-22-2-2-2-2-20222002-2-22-2-2-22-22-2002i−2i2000000002-2-20000000002-22-20000002i−2i2i−2i2i−2i000000000000002-2002i−2i00000000002i−2i00000
χ4222-2-222222-22-2-2-2-2-20222002-2-22-2-2-22-22-200−2i2i2000000002-2-20000000002-22-2000000−2i2i−2i2i−2i2i000000000000002-200−2i2i0000000000−2i2i00000
χ4322-2-222222-22-2-2-2-2-20222002-2-22-2-2-22-2-22002i−2i2000000002-2-2000000000-22-220000002i−2i2i−2i−2i2i00000000000000-22002i−2i0000000000−2i2i00000
χ4422-2-222222-22-2-2-2-2-20222002-2-22-2-2-22-2-2200−2i2i2000000002-2-2000000000-22-22000000−2i2i−2i2i2i−2i00000000000000-2200−2i2i00000000002i−2i00000
χ4522-2-2-1222-112-2-2-2-210-1-12−i3i3-1112-211-1-22-2002i−2i-100−i3i3−i3i300-111−i3−i3i3i3000−i3i3-112-2003−3002i−2i−ii2i−2i0033−3−3000−i3i3000-1100−ii3−300000000−ii00000
χ4622-2-2-1222-112-2-2-2-210-1-12−i3i3-1112-211-1-22-200−2i2i-100−i3i3−i3i300-111−i3−i3i3i3000−i3i3-112-200−3300−2i2ii−i−2i2i00−3−333000−i3i3000-1100i−i−3300000000i−i00000
χ4722-2-2-1222-112-2-2-2-210-1-12−i3i3-1112-211-1-2-22002i−2i-100−i3i3−i3i300-111−i3−i3i3i3000i3−i31-1-22003−3002i−2i−ii−2i2i00−3−333000i3−i30001-100−ii3−300000000i−i00000
χ4822-2-2-1222-112-2-2-2-210-1-12−i3i3-1112-211-1-2-2200−2i2i-100−i3i3−i3i300-111−i3−i3i3i3000i3−i31-1-2200−3300−2i2ii−i2i−2i0033−3−3000i3−i30001-100i−i−3300000000−ii00000
χ4922-2-2-1222-112-2-2-2-210-1-12i3−i3-1112-211-1-22-2002i−2i-100i3−i3i3−i300-111i3i3−i3−i3000i3−i3-112-200−33002i−2i−ii2i−2i00−3−333000i3−i3000-1100−ii−3300000000−ii00000
χ5022-2-2-1222-112-2-2-2-210-1-12i3−i3-1112-211-1-22-200−2i2i-100i3−i3i3−i300-111i3i3−i3−i3000i3−i3-112-2003−300−2i2ii−i−2i2i0033−3−3000i3−i3000-1100i−i3−300000000i−i00000
χ5122-2-2-1222-112-2-2-2-210-1-12i3−i3-1112-211-1-2-22002i−2i-100i3−i3i3−i300-111i3i3−i3−i3000−i3i31-1-2200−33002i−2i−ii−2i2i0033−3−3000−i3i30001-100−ii−3300000000i−i00000
χ5222-2-2-1222-112-2-2-2-210-1-12i3−i3-1112-211-1-2-2200−2i2i-100i3−i3i3−i300-111i3i3−i3−i3000−i3i31-1-22003−300−2i2ii−i2i−2i00−3−333000−i3i30001-100i−i3−300000000−ii00000
χ532-2-22222-2-2-2-222-2-22022200-22-2-2-22-2-22002-200200000000-22-200000000000002-2002-20000002-22-22-200000000002-2000000000000002-2000
χ542-2-22222-2-2-2-222-2-22022200-22-2-2-22-2-22002-200200000000-22-200000000000002-2002-2000000-22-22-2200000000002-200000000000000-22000
χ552-2-22222-2-2-2-222-2-22022200-22-2-2-22-2-2200-2200200000000-22-20000000000000-2200-220000002-22-22-20000000000-2200000000000000-22000
χ562-2-22222-2-2-2-222-2-22022200-22-2-2-22-2-2200-2200200000000-22-20000000000000-2200-22000000-22-22-220000000000-22000000000000002-2000
χ5744444-2-2-244-2-2-2-2-244-2-2144-2-2-211-2-2-210044001-2-2-2-2-2-2111111111040000000-2-200-2-2000000000000-20-20011000110000000000000000000
χ5844444-2-2-244-2-2-2-2-244-2-2144-2-2-211-2-2-2100-4-4001-2-2-2-2-2-21111111110-4000000022002200000000000020200-1-1000-1-10000000000000000000
χ5944444-2-2-244-2-2-2-2-24-4-2-21-4-4-2-2-211-2-2-210044001222222-1-1111-1-1-1-10-40000000-2-200-2-200000000000020200-1-1000110000000000000000000
χ6044444-2-2-244-2-2-2-2-24-4-2-21-4-4-2-2-211-2-2-2100-4-4001222222-1-1111-1-1-1-1040000000220022000000000000-20-20011000-1-10000000000000000000
χ614444-24-24-2-2-2-24-24-24-21-2-2-2-211-2-2-2-21-244000014-2-2-211-2-21111111400-2-2-2-2-2-20000000000000000000-201100011000000000000000000000
χ624444-24-24-2-2-2-24-24-24-21-2-2-2-211-2-2-2-21-2-4-4000014-2-2-211-2-21111111-400222222000000000000000000020-1-1000-1-1000000000000000000000
χ634444-24-24-2-2-2-24-24-2-4-21-222-211-2-2-2-21-24400001-4222-1-122111-1-1-1-1-40022-2-2-2-2000000000000000000020-1-100011000000000000000000000
χ644444-24-24-2-2-2-24-24-2-4-21-222-211-2-2-2-21-2-4-400001-4222-1-122111-1-1-1-1400-2-222220000000000000000000-2011000-1-1000000000000000000000
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χ664444-2-24-2-2-244-24-2-241-2-2-2-21-2-2-2-211-2-20000-4-41-2411-2-2-2-2111111100-4000000002200222200000000000000020000-1-1-1-1000000000000000
χ674444-2-24-2-2-244-24-2-2-41-2-2221-2-2-2-211-2-200004412-4-1-12222111-1-1-1-100-4000000002200-2-2-2-20000000000000002000011-1-1000000000000000
χ684444-2-24-2-2-244-24-2-2-41-2-2221-2-2-2-211-2-20000-4-412-4-1-12222111-1-1-1-100400000000-2-2002222000000000000000-20000-1-111000000000000000
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χ7344-4-4-24-24-22-22-42-420-21-2−2i32i3-2-1-1-2222124-40000100−2i32i3i3−i3001-1-1i3i3−i3−i3000−2i32i3-22-22000000000000000000000i3−i30001-1000000000000000000000
χ7444-4-4-24-24-22-22-42-420-21-2−2i32i3-2-1-1-222212-440000100−2i32i3i3−i3001-1-1i3i3−i3−i30002i3−2i32-22-2000000000000000000000−i3i3000-11000000000000000000000
χ7544-4-4-24-24-22-22-42-420-21-22i3−2i3-2-1-1-2222124-400001002i3−2i3−i3i3001-1-1−i3−i3i3i30002i3−2i3-22-22000000000000000000000−i3i30001-1000000000000000000000
χ7644-4-4-24-24-22-22-42-420-21-22i3−2i3-2-1-1-222212-4400001002i3−2i3−i3i3001-1-1−i3−i3i3i3000−2i32i32-22-2000000000000000000000i3−i3000-11000000000000000000000
χ7744-4-4-2-24-2-224-42-42201-2-2−2i32i3122-22-1-1-2200004i−4i100i3−i3−2i32i3001-1-1i3i3−i3−i30000000000023−2300−2i2i−2i2i00000000000000000000i−i−33000000000000000
χ7844-4-4-2-24-2-224-42-42201-2-2−2i32i3122-22-1-1-220000−4i4i100i3−i3−2i32i3001-1-1i3i3−i3−i300000000000−2323002i−2i2i−2i00000000000000000000−ii3−3000000000000000
χ7944-4-4-2-24-2-224-42-42201-2-22i3−2i3122-22-1-1-2200004i−4i100−i3i32i3−2i3001-1-1−i3−i3i3i300000000000−232300−2i2i−2i2i00000000000000000000i−i3−3000000000000000
χ8044-4-4-2-24-2-224-42-42201-2-22i3−2i3122-22-1-1-220000−4i4i100−i3i32i3−2i3001-1-1−i3−i3i3i30000000000023−23002i−2i2i−2i00000000000000000000−ii−33000000000000000
χ814-44-4444-4-44-4-4-444-4044400-4-44-44-44-4-4000000400000000-4-4400000000000000000000000000000000000000000000000000000000000000
χ824-44-444-2-4-4422-4-24-404-2-200-42-22-2-4422000000-20000000022-200000000000000000000000000000000000000000000000000000−2i32i30000000
χ834-44-444-2-4-4422-4-24-404-2-200-42-22-2-4422000000-20000000022-2000000000000000000000000000000000000000000000000000002i3−2i30000000
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χ864-44-4-244-42-2-4-4-44420-2-240022-2-442-22-4000000-20000000022-200000000000000000000000000023−23−23230000000000000000000000000000000
χ874-44-4-244-42-2-4-4-44420-2-240022-2-442-22-4000000-20000000022-2000000000000000000000000000−232323−230000000000000000000000000000000
χ884-4-4444-2-4-4-42-242-4404-2-200-4-22224-42-2004-400-2000000002-220000000000000-22004-40000000000000000000000-220000000000000000000
χ894-4-4444-2-4-4-42-242-4404-2-200-4-22224-42-200-4400-2000000002-2200000000000002-200-4400000000000000000000002-20000000000000000000
χ904-4-444-242-4-4-44-2-4240-24-20024-422-22-4-2004-400-2000000002-2200000000000004-400-220000000000000000000000-220000000000000000000
χ914-4-444-242-4-4-44-2-4240-24-20024-422-22-4-200-4400-2000000002-220000000000000-44002-200000000000000000000002-20000000000000000000
χ924-4-444-2-22-4-42-2-22240-2-21002-22-1-1-2221004-40010000003-3-11-13-33-3000000000-2200-22000000000000000003-30001-10000000000000000000
χ934-4-444-2-22-4-42-2-22240-2-21002-22-1-1-2221004-4001000000-33-11-1-33-33000000000-2200-2200000000000000000-330001-10000000000000000000
χ944-4-444-2-22-4-42-2-22240-2-21002-22-1-1-222100-440010000003-3-11-13-33-30000000002-2002-200000000000000000-33000-110000000000000000000
χ954-4-444-2-22-4-42-2-22240-2-21002-22-1-1-222100-44001000000-33-11-1-33-330000000002-2002-2000000000000000003-3000-110000000000000000000
χ964-4-44-244-422-444-4-4-20-2-24002-22-4-4-2224000000-2000000002-2200000000000000000000000004-4-22-220000000000000000000000000000000
χ974-4-44-244-422-444-4-4-20-2-24002-22-4-4-2224000000-2000000002-220000000000000000000000000-442-22-20000000000000000000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-48222-4-4222222222000000-1-4-4222222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4-822244222222222000000-144-2-2-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000000
χ10088-8-88-4-4-48-8-44444-80-4-4200-4442-244-4-20000002000000002-2-200000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-4-44-4444440222−4i34i32-2-22-2-2-22-2000000-1002i3−2i32i3−2i300-111−i3−i3i3i30000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-4-4-44-44444402224i3−4i32-2-22-2-2-22-2000000-100−2i32i3−2i32i300-111i3i3−i3−i30000000000000000000000000000000000000000000000000000000000
χ1038-88-88-4-44-88444-4-4-80-4-420044-4-224-44-2000000200000000-2-2200000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-48-4-84-444-8-4840-42-4004-224-44-4-24000000200000000-2-2200000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4844-4-8-848-4402-4-400-24-44-4-2244000000200000000-2-2200000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-444-4444-4-44022200-2-22-22-22-2-2000000-10000000011-1−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-444-4444-4-44022200-2-22-22-22-2-2000000-10000000011-13i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000
χ1088-8-88-48-4-8444-484-8-40-42-40042-244-44-2-4000000200000000-22-200000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-48444-88-4-84-402-4-400-2-44442-24-4000000200000000-22-200000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-44444-4-444-4022200-22-2-2-22-2-22000000-10000006-61-11-33-330000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-44444-4-444-4022200-22-2-2-22-2-22000000-1000000-661-113-33-30000000000000000000000000000000000000000000000000000000000

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