Finite Group Databasebeta

← Group #13170802

Character table — Group #13170802

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444666666888888888888888899991212121212121212121212121212121212121218181818181818182424242424242424242424242424242436363636363636363654547272108
order12223336666666663334666666666121222224436661212121212121212121212124444224666666666612121212121222441212121266666666666121212121244466121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111111111111-1-1-1-11-1111-1-1111111-1-111-1-111-1-1-1-1-1-11-1111-1-11111111-1-1-11-111-1-1-1-1-1-11-1-1
χ3111111111111111111111111111111111-1-11111111111111111111111-1111111-1-111-1-1111111-1-1-1-11111-11-11111-1-1-1-111111-1-11-1-111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-11-1-1-1-1-1-11111-111
χ51111111111111111111111111111111-1-111111111111111111111-1-1-1-111-1-1-11111-1-11111-1-111-1-111-1-1-1-1111-1-1111111-1-1-1111-1-1-1-1-1-111-1-1-11-1
χ61111111111111111111111111111111-1-111-1-1111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111-11-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-111-1-11
χ71111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-11-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-111-11-111-1-1-1-1111-11
χ81111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-111111111-1-11111111111-1-1-111-1-111-1-1-1-1-111-1-1-111-1-11111-1-1-1
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-11-1111111-1-1-1-1-1-1-11-111111-1-1-1-1-111
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-111-1-111-1-111-1-1-1-111111-1111-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1111
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111-1-1-1-1-1-111-1-11111111-1-1
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-11111-1-11-11
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-11111-1-111-1-111-1-1-1-1-1-11111-11-1-1-11111-1-1111-1-111-1-1-1-1-1-1-11111-1
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-11-1-1-1-1-1-111111111-111111-1-111-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111-1-111111111111-1-111-1-111111-1-1-1-1-111-1-111-1-1-1-11
χ17222222-122-1-12-12222-1-122-1-1-12-1-12-122222200-1-1-1-1-1222-1-1-1-1-1-1-1-10000202220022-1-1-1-10022002200000020-1-1-100-1-1-1-1-1-1-100020-1-1000000-100
χ18222222-122-1-12-12222-1-122-1-1-12-1-12-12222-2-200-1-1-1-1-1222-1-1-1-1-1-1-1-10000-2022200-2-2-1-111002200-2-2000000-201-1-1001111-1-1-1000-2011000000100
χ19222222-122-1-12-12222-1-122-1-1-12-1-12-122-2-22200-1-1-1-1-1222-1-1-1-1-1-1-1-1000020-2-2-2002211-1-100-2-200-2-200000020-11100-1-1-1-1111000-2011000000100
χ20222222-122-1-12-12222-1-122-1-1-12-1-12-122-2-2-2-200-1-1-1-1-1222-1-1-1-1-1-1-1-10000-20-2-2-200-2-2111100-2-20022000000-2011100111111100020-1-1000000-100
χ21222222-122-1-12-12222-1-1-22-1-1-12-1-12-1-2-2222200-1-1-1-11-2-2-2111111110000-20-2220022-1-1-1-100-2-20022000000-201-1-100-1-111111000-20-1-1000000100
χ22222222-122-1-12-12222-1-1-22-1-1-12-1-12-1-2-222-2-200-1-1-1-11-2-2-211111111000020-22200-2-2-1-11100-2-200-2-200000020-1-1-10011-1-11110002011000000-100
χ23222222-122-1-12-12222-1-1-22-1-1-12-1-12-1-2-2-2-22200-1-1-1-11-2-2-2111111110000-202-2-2002211-1-1002200-2-2000000-2011100-1-111-1-1-10002011000000-100
χ24222222-122-1-12-12222-1-1-22-1-1-12-1-12-1-2-2-2-2-2-200-1-1-1-11-2-2-2111111110000202-2-200-2-211110022002200000020-1110011-1-1-1-1-1000-20-1-1000000100
χ2522222-12-122222-1-12-12-12-12-1-1-12-1-1222002222-1-1-1-12-1-1-122-1-1-1-1-1-100002200022-1-10022-1-1002200220000-1-1200-1-1-1-1-1-1000-1-12000000-1-1000-10
χ2622222-12-122222-1-12-12-12-12-1-1-12-1-12220022-2-2-1-1-1-12-1-1-122-1-1-1-1-1-100002-2000-2-2-1-100221100-2-200-2-20000-1120011-1-1-1-100011-20000001100010
χ2722222-12-122222-1-12-12-12-12-1-1-12-1-122200-2-222-1-1-1-12-1-1-122-1-1-1-1-1-10000-22000221100-2-2-1-1002200-2-200001-1-200-1-11111000-1-1-20000001100010
χ2822222-12-122222-1-12-12-12-12-1-1-12-1-122200-2-2-2-2-1-1-1-12-1-1-122-1-1-1-1-1-10000-2-2000-2-21100-2-21100-2-20022000011-200111111000112000000-1-1000-10
χ2922222-12-122222-1-12-12-1-2-12-1-1-12-1-12-2-2002222-1-1-1-1-2111-2-21111110000-2-2000-2-2-1-10022-1-100220022000011-20011-1-111000-1-1-2000000-1-100010
χ3022222-12-122222-1-12-12-1-2-12-1-1-12-1-12-2-20022-2-2-1-1-1-1-2111-2-21111110000-2200022-1-100221100-2-200-2-200001-1-200-1-1-1-11100011200000011000-10
χ3122222-12-122222-1-12-12-1-2-12-1-1-12-1-12-2-200-2-222-1-1-1-1-2111-2-211111100002-2000-2-21100-2-2-1-1002200-2-20000-112001111-1-1000-1-1200000011000-10
χ3222222-12-122222-1-12-12-1-2-12-1-1-12-1-12-2-200-2-2-2-2-1-1-1-1-2111-2-2111111000022000221100-2-21100-2-200220000-1-1200-1-111-1-100011-2000000-1-100010
χ332222-1222-122-1222-1-1-122-1-122-1-12-1-1-1-1220022-1-1-1-122-1-1-1-122-1-1-1-12222022-1-1-1-100220022-1-1-1-10000-1-1-1-1020-1-1-1-100002-1-1-1-100200-1-10000000
χ342222-1222-122-1222-1-1-122-1-122-1-12-1-1-1-12200-2-2-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-20-22-1-111002200-2-2-1-111000011110-20-1-11100002-1-11100-200110000000
χ352222-1222-122-1222-1-1-122-1-122-1-12-1-1-1-1-2-20022-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-202-211-1-100-2-2002211-1-10000111102011-1-10000-211-1-100-200110000000
χ362222-1222-122-1222-1-1-122-1-122-1-12-1-1-1-1-2-200-2-2-1-1-1-122-1-1-1-122-1-1-1-122220-2-2111100-2-200-2-211110000-1-1-1-10-2011110000-2111100200-1-10000000
χ372222-1222-122-1222-1-1-12-2-1-122-1-12-1-111220022-1-1-1-1-2-21111-2-2111122220-2-2-1-1110022002211-1-10000-1-1-1-10-20-1-1110000-211-1-100-200110000000
χ382222-1222-122-1222-1-1-12-2-1-122-1-12-1-1112200-2-2-1-1-1-1-2-21111-2-21111-2-2-2-202-2-1-1-1-1002200-2-2111100001111020-1-1-1-10000-2111100200-1-10000000
χ392222-1222-122-1222-1-1-12-2-1-122-1-12-1-111-2-20022-1-1-1-1-2-21111-2-21111-2-2-2-20-22111100-2-20022-1-1-1-1000011110-20111100002-1-1-1-100200-1-10000000
χ402222-1222-122-1222-1-1-12-2-1-122-1-12-1-111-2-200-2-2-1-1-1-1-2-21111-2-21111222202211-1-100-2-200-2-2-1-1110000-1-1-1-102011-1-100002-1-11100-200110000000
χ4122-2-2222-222-2-2-22-2-22220-2-2-2-2222-2-200002-2002-2-220000000000002i2i−2i−2i00000002-2002-200000000002i2i−2i−2i00000002-200000000000000002i−2i000
χ4222-2-2222-222-2-2-22-2-22220-2-2-2-2222-2-200002-2002-2-22000000000000−2i−2i2i2i00000002-2002-20000000000−2i−2i2i2i00000002-20000000000000000−2i2i000
χ4322-2-2222-222-2-2-22-2-22220-2-2-2-2222-2-20000-22002-2-220000000000002i2i−2i−2i0000000-2200-2200000000002i2i−2i−2i0000000-220000000000000000−2i2i000
χ4422-2-2222-222-2-2-22-2-22220-2-2-2-2222-2-20000-22002-2-22000000000000−2i−2i2i2i0000000-2200-220000000000−2i−2i2i2i0000000-2200000000000000002i−2i000
χ452-22-22222-2-2-222-2-2-22220222-2-2-2-2-2-2002-2002i−2i22-2-20000000000002i−2i2i−2i0002-200002-2002i−2i002i−2i00002i−2i2i−2i0002-20000000002i−2i00000000000000
χ462-22-22222-2-2-222-2-2-22220222-2-2-2-2-2-2002-200−2i2i22-2-2000000000000−2i2i−2i2i0002-200002-200−2i2i00−2i2i0000−2i2i−2i2i0002-2000000000−2i2i00000000000000
χ472-22-22222-2-2-222-2-2-22220222-2-2-2-2-2-200-22002i−2i22-2-2000000000000−2i2i−2i2i000-220000-22002i−2i002i−2i0000−2i2i−2i2i000-220000000002i−2i00000000000000
χ482-22-22222-2-2-222-2-2-22220222-2-2-2-2-2-200-2200−2i2i22-2-20000000000002i−2i2i−2i000-220000-2200−2i2i00−2i2i00002i−2i2i−2i000-22000000000−2i2i00000000000000
χ492-22-2-12221-2-2-12-2-21-1-120-1-12-211-2113−32-2002i−2i-1-111003−33−30033−3−32i−2i2i−2i000-11−i3i3002-2002i−2i3−3−ii0000−ii−ii000-11−i3i3000003−3−ii00000−i3i30000000
χ502-22-2-12221-2-2-12-2-21-1-120-1-12-211-2113−32-200−2i2i-1-111003−33−30033−3−3−2i2i−2i2i000-11i3−i3002-200−2i2i3−3i−i0000i−ii−i000-11i3−i3000003−3i−i00000i3−i30000000
χ512-22-2-12221-2-2-12-2-21-1-120-1-12-211-2113−3-22002i−2i-1-111003−33−30033−3−3−2i2i−2i2i0001-1−i3i300-22002i−2i−33−ii0000i−ii−i0001-1−i3i300000−33−ii00000i3−i30000000
χ522-22-2-12221-2-2-12-2-21-1-120-1-12-211-2113−3-2200−2i2i-1-111003−33−30033−3−32i−2i2i−2i0001-1i3−i300-2200−2i2i−33i−i0000−ii−ii0001-1i3−i300000−33i−i00000−i3i30000000
χ532-22-2-12221-2-2-12-2-21-1-120-1-12-211-211−332-2002i−2i-1-11100−33−3300−3−3332i−2i2i−2i000-11i3−i3002-2002i−2i−33−ii0000−ii−ii000-11i3−i300000−33−ii00000i3−i30000000
χ542-22-2-12221-2-2-12-2-21-1-120-1-12-211-211−332-200−2i2i-1-11100−33−3300−3−333−2i2i−2i2i000-11−i3i3002-200−2i2i−33i−i0000i−ii−i000-11−i3i300000−33i−i00000−i3i30000000
χ552-22-2-12221-2-2-12-2-21-1-120-1-12-211-211−33-22002i−2i-1-11100−33−3300−3−333−2i2i−2i2i0001-1i3−i300-22002i−2i3−3−ii0000i−ii−i0001-1i3−i3000003−3−ii00000−i3i30000000
χ562-22-2-12221-2-2-12-2-21-1-120-1-12-211-211−33-2200−2i2i-1-11100−33−3300−3−3332i−2i2i−2i0001-1−i3i300-2200−2i2i3−3i−i0000−ii−ii0001-1−i3i3000003−3i−i00000i3−i30000000
χ572-2-22222-2-2-22-2-2-2222220-2-2-22-2-2-222000000002-22-20000000000002-2-2200000000000000000002-22-22-2-2200000000000000000002-2002-200000
χ582-2-22222-2-2-22-2-2-2222220-2-2-22-2-2-222000000002-22-20000000000002-2-220000000000000000000-22-222-2-220000000000000000000-2200-2200000
χ592-2-22222-2-2-22-2-2-2222220-2-2-22-2-2-222000000002-22-2000000000000-222-200000000000000000002-2-22-222-200000000000000000002-200-2200000
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χ6144444-2-2-24-2-24-2-2-24-2-214-2-211-2-21-2-2440044001111-2-2-2-2-2-211111100004000000-2-200-2-200000000000000-20-2000011110000000000000000000
χ6244444-2-2-24-2-24-2-2-24-2-214-2-211-2-21-2-24400-4-4001111-2-2-2-2-2-21111110000-4000000220022000000000000002020000-1-1-1-10000000000000000000
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χ704444-2-24-2-244-24-2-2-21-2-241-2-2-21-2-21-2-2-20000-4-411114-211-2-2-2-2111100000-4000220000002200220000000002000-1-10000000-1-100000000000000
χ714444-2-24-2-244-24-2-2-21-2-2-41-2-2-21-2-21-2220000441111-42-1-12222-1-1-1-100000-400022000000-2-200-2-20000000002000-1-100000001100000000000000
χ724444-2-24-2-244-24-2-2-21-2-2-41-2-2-21-2-21-2220000-4-41111-42-1-12222-1-1-1-1000004000-2-2000000220022000000000-2000110000000-1-100000000000000
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χ864-44-44-24-2-4-4-44422-4-24-20-24-222-422-4000000−4i4i-2-222000000000000000000000000000002i−2i00−4i4i00000000000000000000002i−2i00000000000000
χ874-44-4-24-24222-2-2-4-42-21-20-21-222-122-123−234-4000011-1-10023−23−3300−3−3330000000-220000-22000023−2300000000000001-10000000−330000000000000000
χ884-44-4-24-24222-2-2-4-42-21-20-21-222-122-123−23-44000011-1-10023−23−3300−3−33300000002-200002-20000−23230000000000000-1100000003−30000000000000000
χ894-44-4-24-24222-2-2-4-42-21-20-21-222-122-1−23234-4000011-1-100−23233−30033−3−30000000-220000-220000−232300000000000001-100000003−30000000000000000
χ904-44-4-24-24222-2-2-4-42-21-20-21-222-122-1−2323-44000011-1-100−23233−30033−3−300000002-200002-2000023−230000000000000-110000000−330000000000000000
χ914-44-4-2-24-22-4-4-242221-2-201-2-22-122-1223−2300004i−4i11-1-100−3323−2300−3−333000000000−2i32i3000000−2i2i00−2i2i0000000000000i3−i30000000i−i00000000000000
χ924-44-4-2-24-22-4-4-242221-2-201-2-22-122-1223−230000−4i4i11-1-100−3323−2300−3−3330000000002i3−2i30000002i−2i002i−2i0000000000000−i3i30000000−ii00000000000000
χ934-44-4-2-24-22-4-4-242221-2-201-2-22-122-12−232300004i−4i11-1-1003−3−23230033−3−30000000002i3−2i3000000−2i2i00−2i2i0000000000000−i3i30000000i−i00000000000000
χ944-44-4-2-24-22-4-4-242221-2-201-2-22-122-12−23230000−4i4i11-1-1003−3−23230033−3−3000000000−2i32i30000002i−2i002i−2i0000000000000i3−i30000000−ii00000000000000
χ954-4-4444-2-4-42-2-42-4444-2-20-422-2-4224-200000000-22-22000000000000000000000000000000000004-40000000000000000000000000-22000000000
χ964-4-4444-2-4-42-2-42-4444-2-20-422-2-4224-200000000-22-2200000000000000000000000000000000000-4400000000000000000000000002-2000000000
χ974-4-444-242-4-44-4-42-24-24-202-42-22-42-2400000000-22-2200000000000000000000000000000000000004-4000000000000000000000000000-2200000
χ984-4-444-242-4-44-4-42-24-24-202-42-22-42-2400000000-22-220000000000000000000000000000000000000-440000000000000000000000000002-200000
χ994-4-44-244-42-442-4-44-2-2-24022-4422-4-2-200000000-22-220000000000004-4-4400000000000000000000000-222-2000000000000000000000000000000
χ1004-4-44-244-42-442-4-44-2-2-24022-4422-4-2-200000000-22-22000000000000-444-4000000000000000000000002-2-22000000000000000000000000000000
χ1018888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4000000-1-1-1-1-4-4222222-1-1-1-10000000000000000000000000000000000000000000000000000000000000
χ1028888-4-4-4-4-4-4-4-4-4-4-4-4222-822222222244000000-1-1-1-144-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-48-4-8-4-44448-84-42-404-244-42-44-2000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-484-48-84-8-4442-4-40-24442-4-4-24000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-44-4-4444-4442220-2-2-2-2222-2-200000000-111-10000006-6-33-330000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-44-4-4444-4442220-2-2-2-2222-2-200000000-111-1000000-663-33-30000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-4-4-4-8448-444-8-4-420-4-42-244-2440000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-4-4444-4-44442220222-2-2-2-2-2-243−43000000-1-11100−2323−23230033−3−30000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-4-4444-4-44442220222-2-2-2-2-2-2−4343000000-1-1110023−2323−2300−3−3330000000000000000000000000000000000000000000000000000000000000
χ1108-8-888-4-44-84-4-844-48-4-42044-2244-2-4-4000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-48-4-844-444-88-4-42-404-24-44-24-42000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-4844-884-84-4-42-4-40-244-4-2442-4000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4444-4444-4-42220-2-2-22-2-2-22200000000-11-110000000033−33−33330000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4444-4444-4-42220-2-2-22-2-2-22200000000-11-1100000000−333333−330000000000000000000000000000000000000000000000000000000000000

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