Finite Group Databasebeta

← Group #13171900

Character table — Group #13171900

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818181818181818182424242424242424242424242424242436363636363636367272108108
order12223336666666662333666666666664444366666666666666622446666121212121212121212121212224444441212121266666612121212121212121212446612121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1111-1-1111111-1-11111-1-11111-1-111111-111-1-11-1111111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111-1-11111111111111111-1111-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-111-1111-1-1-1-11-1-1-1
χ4111111111111111111111111111111111-1-11111111111111111-1-1-11-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11-1-1-111-1-1-1111
χ51111111111111111111111111111111-1-1111111111111111111111-11111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-11-1-1-1-111111-1-1-111-1-1-11-1-1
χ61111111111111111111111111111111-1-11111111111111111111-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-11-111
χ71111111111111111111111111111111-1-1-1-11111111111111111-111-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-11-1-111-11-1-1-1-1-1-111-1-1-1-1-1-111-1-111
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
χ91111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-1-1-111-1-11111-1-11111-1-111-1-111-1-1-1-1-11-1-111-1-111-1-111-1-1-11-1-111111-11-1
χ101111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111-111-1-111-11-11
χ111111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-11
χ121111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-11-111-1-1-1-1-1-11111-1-11111-1-1111111111-111-1-1-1111-1-1-1-111-1-11111-1-1-1-11-1
χ131111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-1-1111111-1-1-1-111-1-111-1-111111111-11-1-1111-1-1-11111-1-1-1-11111-1-1-1-1-11
χ141111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1111-1
χ151111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-111-1-1-1-11-111-1-111-111-1
χ161111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-11111-1-111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11-111-1-111-1-111-1-111-11-1-111111-1-11
χ17222222-12-122-122-122-12-122-122-1-1-1-12-12200-12-1-1-122-1-1-1-1-1-1-1-1-1022200222200-1-1-1-100222200000000000-100-1-1-12-1-1-1-100-1-102-1-10000-1000
χ18222222-12-122-122-122-12-122-122-1-1-1-12-12200-12-1-1-122-1-1-1-1-1-1-1-1-10-2-2200-2-22200-1-1110022-2-20000000000010011-1-2-1-1-1-100110-21100001000
χ19222222-12-122-122-122-12-122-122-1-1-1-12-1-2-200-12-1-1-122-1-1-1-1-1-1-1-1-1022-20022-2-20011-1-100-2-2-2-200000000000-100-1-112111100-1-10-21100001000
χ20222222-12-122-122-122-12-122-122-1-1-1-12-1-2-200-12-1-1-122-1-1-1-1-1-1-1-1-10-2-2-200-2-2-2-200111100-2-22200000000000100111-21111001102-1-10000-1000
χ21222222-12-122-122-12-2-12-1-2-2-122-1-1-1-12-12200-1-2111-2-211-1-1-1111102-2-20022-2-200-1-1110022-2-200000000000-100-1-11-2-1-111001102110000-1000
χ22222222-12-122-122-12-2-12-1-2-2-122-1-1-1-12-12200-1-2111-2-211-1-1-111110-22-200-2-2-2-200-1-1-1-1002222000000000001001112-1-11100-1-10-2-1-100001000
χ23222222-12-122-122-12-2-12-1-2-2-122-1-1-1-12-1-2-200-1-2111-2-211-1-1-1111102-2200222200111100-2-22200000000000-100-1-1-1-211-1-100110-2-1-100001000
χ24222222-12-122-122-12-2-12-1-2-2-122-1-1-1-12-1-2-200-1-2111-2-211-1-1-111110-22200-2-2220011-1-100-2-2-2-20000000000010011-1211-1-100-1-102110000-1000
χ2522222-12-12222-1-12222-1-1222-1-1-1-122-1-10022-1-1222-1-1-1-1-1-1-1-1-1-1-1222022-1-100220022-1-100000000220000-12-1-1-1-10-10000-1-1-1-12000-1-1000-100
χ2622222-12-12222-1-12222-1-1222-1-1-1-122-1-10022-1-1222-1-1-1-1-1-1-1-1-1-1-12-2-202211002200-2-2-1-100000000-2-20000-1-2-1-111010000-1-111-200011000100
χ2722222-12-12222-1-12222-1-1222-1-1-1-122-1-100-2-2-1-1222-1-1-1-1-1-1-1-1-1-1-1-2220-2-2-1-100-2-200221100000000-2-200001211-1-10-1000011-1-1-200011000100
χ2822222-12-12222-1-12222-1-1222-1-1-1-122-1-100-2-2-1-1222-1-1-1-1-1-1-1-1-1-1-1-2-2-20-2-21100-2-200-2-211000000002200001-2111101000011112000-1-1000-100
χ2922222-12-12222-1-122-22-1-1-2-22-1-1-1-122-1-10022-11-2-2-21111-1-1-11111-22-20-2-2-1-1002200-2-2-1-1000000002200001211-1-1010000-1-111-2000-1-1000100
χ3022222-12-12222-1-122-22-1-1-2-22-1-1-1-122-1-10022-11-2-2-21111-1-1-11111-2-220-2-21100220022-1-100000000-2-200001-211110-10000-1-1-1-1200011000-100
χ3122222-12-12222-1-122-22-1-1-2-22-1-1-1-122-1-100-2-2-11-2-2-21111-1-1-1111122-2022-1-100-2-200-2-21100000000-2-20000-12-1-1-1-10100001111200011000-100
χ3222222-12-12222-1-122-22-1-1-2-22-1-1-1-122-1-100-2-2-11-2-2-21111-1-1-111112-220221100-2-200221100000000220000-1-2-1-1110-1000011-1-1-2000-1-1000100
χ332222-12222-1-12222-12-1-12-1-1-1-1-122-1-1-122222-122-1-1-1-122-1-1-1-1-1-1-12002-1-100-1-1-1-1220022-1-100222200-1-1-1-120-1-10020-1-1-1-1-1-100000000-1-10000
χ342222-12222-1-12222-12-1-12-1-1-1-1-122-1-1-1222-2-2-122-1-1-1-122-1-1-1-1-1-1-1-20021100-1-1112200-2-2-1-100-2-2-2-2001111-20110020-1-1-1-11100000000110000
χ352222-12222-1-12222-12-1-12-1-1-1-1-122-1-1-12-2-222-122-1-1-1-122-1-1-1-1-1-1-1200-2-1-10011-1-1-2-200221100-2-2-2-200111120-1-100-201111-1-100000000110000
χ362222-12222-1-12222-12-1-12-1-1-1-1-122-1-1-12-2-2-2-2-122-1-1-1-122-1-1-1-1-1-1-1-200-211001111-2-200-2-21100222200-1-1-1-1-201100-2011111100000000-1-10000
χ372222-12222-1-12222-1-2-1-1211-1-1-122-1-1-122222-1-2-21111-2-2-1-1-11111-200-2110011-1-1220022-1-10022-2-2001111-201100-20-1-111-1-100000000-1-10000
χ382222-12222-1-12222-1-2-1-1211-1-1-122-1-1-1222-2-2-1-2-21111-2-2-1-1-11111200-2-1-10011112200-2-2-1-100-2-22200-1-1-1-120-1-100-20-1-1111100000000110000
χ392222-12222-1-12222-1-2-1-1211-1-1-122-1-1-12-2-222-1-2-21111-2-2-1-1-11111-20021100-1-1-1-1-2-200221100-2-22200-1-1-1-1-2011002011-1-1-1-100000000110000
χ402222-12222-1-12222-1-2-1-1211-1-1-122-1-1-12-2-2-2-2-1-2-21111-2-2-1-1-111112002-1-100-1-111-2-200-2-2110022-2-200111120-1-1002011-1-11100000000-1-10000
χ412-22-22222-22-2-2-2-22-2022200-22-22-22-2-2-200002000000002-2-20000000000000000000000002-2002i−2i2i−2i2i2i−2i−2i0000000000000000002-22i−2i000000
χ422-22-22222-22-2-2-2-22-2022200-22-22-22-2-2-200002000000002-2-20000000000000000000000002-200−2i2i−2i2i−2i−2i2i2i0000000000000000002-2−2i2i000000
χ432-22-22222-22-2-2-2-22-2022200-22-22-22-2-2-200002000000002-2-2000000000000000000000000-22002i−2i−2i2i2i2i−2i−2i000000000000000000-22−2i2i000000
χ442-22-22222-22-2-2-2-22-2022200-22-22-22-2-2-200002000000002-2-2000000000000000000000000-2200−2i2i2i−2i−2i−2i2i2i000000000000000000-222i−2i000000
χ452-2-22222-22-22-22-2-2-20222002-2-2-22-2-22-22i−2i2-2200000000-22-2000000000000002-22i−2i002-22i−2i002i−2i00000000000000002i−2i002-2000000002i−2i0000
χ462-2-22222-22-22-22-2-2-20222002-2-2-22-2-22-22i−2i-22200000000-22-200000000000000-222i−2i00-222i−2i00−2i2i00000000000000002i−2i00-2200000000−2i2i0000
χ472-2-22222-22-22-22-2-2-20222002-2-2-22-2-22-2−2i2i2-2200000000-22-2000000000000002-2−2i2i002-2−2i2i00−2i2i0000000000000000−2i2i002-200000000−2i2i0000
χ482-2-22222-22-22-22-2-2-20222002-2-2-22-2-22-2−2i2i-22200000000-22-200000000000000-22−2i2i00-22−2i2i002i−2i0000000000000000−2i2i00-22000000002i−2i0000
χ492-2-22-122-221-1-22-2-210-1-12−i3i3-111-2211-1-22i−2i2-2-100−i3i3−i3i3001-11−i3−i3i3i30000−i3i3003−3-112i−2i002-2−ii002i−2i00003−33−300−i3i30000−ii3−3-1100000000−ii0000
χ502-2-22-122-221-1-22-2-210-1-12−i3i3-111-2211-1-22i−2i-22-100−i3i3−i3i3001-11−i3−i3i3i30000i3−i3003−31-12i−2i00-22−ii00−2i2i0000−33−3300i3−i30000−ii3−31-100000000i−i0000
χ512-2-22-122-221-1-22-2-210-1-12−i3i3-111-2211-1-2−2i2i2-2-100−i3i3−i3i3001-11−i3−i3i3i30000−i3i300−33-11−2i2i002-2i−i00−2i2i0000−33−3300−i3i30000i−i−33-1100000000i−i0000
χ522-2-22-122-221-1-22-2-210-1-12−i3i3-111-2211-1-2−2i2i-22-100−i3i3−i3i3001-11−i3−i3i3i30000i3−i300−331-1−2i2i00-22i−i002i−2i00003−33−300i3−i30000i−i−331-100000000−ii0000
χ532-2-22-122-221-1-22-2-210-1-12i3−i3-111-2211-1-22i−2i2-2-100i3−i3i3−i3001-11i3i3−i3−i30000i3−i300−33-112i−2i002-2−ii002i−2i0000−33−3300i3−i30000−ii−33-1100000000−ii0000
χ542-2-22-122-221-1-22-2-210-1-12i3−i3-111-2211-1-22i−2i-22-100i3−i3i3−i3001-11i3i3−i3−i30000−i3i300−331-12i−2i00-22−ii00−2i2i00003−33−300−i3i30000−ii−331-100000000i−i0000
χ552-2-22-122-221-1-22-2-210-1-12i3−i3-111-2211-1-2−2i2i2-2-100i3−i3i3−i3001-11i3i3−i3−i30000i3−i3003−3-11−2i2i002-2i−i00−2i2i00003−33−300i3−i30000i−i3−3-1100000000i−i0000
χ562-2-22-122-221-1-22-2-210-1-12i3−i3-111-2211-1-2−2i2i-22-100i3−i3i3−i3001-11i3i3−i3−i30000−i3i3003−31-1−2i2i00-22i−i002i−2i0000−33−3300−i3i30000i−i3−31-100000000−ii0000
χ5744444-2-2-2-244-2-2-2-244-2-2144-2-2-211-2-2-2100001-2-2-2-2-2-2111111111044000-2-2000000-2-200000000000000000-200110-200000011000000000000
χ5844444-2-2-2-244-2-2-2-244-2-2144-2-2-211-2-2-2100001-2-2-2-2-2-21111111110-4-4000220000002200000000000000000200-1-102000000-1-1000000000000
χ5944444-2-2-2-244-2-2-2-24-4-2-21-4-4-2-2-211-2-2-2100001222222-1-1111-1-1-1-104-4000-2-20000002200000000000000000-2001102000000-1-1000000000000
χ6044444-2-2-2-244-2-2-2-24-4-2-21-4-4-2-2-211-2-2-2100001222222-1-1111-1-1-1-10-4400022000000-2-200000000000000000200-1-10-200000011000000000000
χ614444-24-24-2-2-2-244-2-241-2-2-2-21-2-2-2-211-2-2440014-211-2-2-2-2111111100040000-2-200-2-20000-2-2000000000000000000-2011110000000000000000
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χ634444-24-24-2-2-2-244-2-2-41-2-2221-2-2-2-211-2-244001-42-1-12222111-1-1-1-1000-400002200-2-20000-2-20000000000000000002011-1-10000000000000000
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χ884-4-444-2424-44-4-22-4-404-2-2004222-2-4-4-22004-4-2000000002-22000000000000004-40000-2200000000000000000000000000-2200000000000000
χ894-4-444-2424-44-4-22-4-404-2-2004222-2-4-4-2200-44-2000000002-2200000000000000-4400002-2000000000000000000000000002-200000000000000
χ904-4-44-24-2-4-22-224-42201-2-2−2i32i31222-2-1-1-224i−4i00100i3−i3−2i32i300-11-1i3i3−i3−i30000000023−2300−2i2i0000−2i2i00000000000000000000i−i−330000000000000000
χ914-4-44-24-2-4-22-224-42201-2-2−2i32i31222-2-1-1-22−4i4i00100i3−i3−2i32i300-11-1i3i3−i3−i300000000−2323002i−2i00002i−2i00000000000000000000−ii3−30000000000000000
χ924-4-44-24-2-4-22-224-42201-2-22i3−2i31222-2-1-1-224i−4i00100−i3i32i3−2i300-11-1−i3−i3i3i300000000−232300−2i2i0000−2i2i00000000000000000000i−i3−30000000000000000
χ934-4-44-24-2-4-22-224-42201-2-22i3−2i31222-2-1-1-22−4i4i00100−i3i32i3−2i300-11-1−i3−i3i3i30000000023−23002i−2i00002i−2i00000000000000000000−ii−330000000000000000
χ944-4-44-2-24242-2-4-22-420-21-2−2i32i3-2-1-12-22212004-4100−2i32i3i3−i300-11-1i3i3−i3−i30000−2i32i30000-220000-220000000000000000i3−i3000000001-100000000000000
χ954-4-44-2-24242-2-4-22-420-21-2−2i32i3-2-1-12-2221200-44100−2i32i3i3−i300-11-1i3i3−i3−i300002i3−2i300002-200002-20000000000000000−i3i300000000-1100000000000000
χ964-4-44-2-24242-2-4-22-420-21-22i3−2i3-2-1-12-22212004-41002i3−2i3−i3i300-11-1−i3−i3i3i300002i3−2i30000-220000-220000000000000000−i3i3000000001-100000000000000
χ974-4-44-2-24242-2-4-22-420-21-22i3−2i3-2-1-12-2221200-441002i3−2i3−i3i300-11-1−i3−i3i3i30000−2i32i300002-200002-20000000000000000i3−i300000000-1100000000000000
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
χ10088-8-8-48-4-8444-4-884-402-4-400-24-444-224-40000200000000-2-220000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-484-84484-4-8-40-42-4004-22444-4-2-40000200000000-2-220000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-44444-44-44-4022200-2-22-2-2-22-220000-10000006-611-1-33-33000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-44444-44-44-4022200-2-22-2-2-22-220000-1000000-6611-13-33-3000000000000000000000000000000000000000000000000000000000000
χ1048-88-88-4-4-448-8444-4-80-4-42004-442-2-444-200002000000002-2-20000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-48-484-444-8-8-4402-4-400-2-44-442-24400002000000002-2-20000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-48-4-8-44-844840-42-40042-2-44-44-2400002000000002-2-20000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-4-44-44444-44022200-22-22-22-2-2-20000-100000000-111−3i33i33i3−3i3000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-4-44-44444-44022200-22-22-22-2-2-20000-100000000-1113i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000000
χ1098-8-888-4-44-4-884-444-80-4-4200-444-2244-4-20000200000000-22-20000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-44-44-44-44440222−4i34i32-2-2-22-2-22-20000-1002i3−2i32i3−2i3001-11−i3−i3i3i3000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-44-44-44-444402224i3−4i32-2-2-22-2-22-20000-100−2i32i3−2i32i3001-11i3i3−i3−i3000000000000000000000000000000000000000000000000000000000000

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