Finite Group Databasebeta

← Group #13170797

Character table — Group #13170797

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444666666888888888888888899991212121212121212121212121212121212121218181818181818182424242424242424242424242424242436363636363636363654547272108
order12223336666666663334666666666121222444436661212121212121212121212124444444666612121212121212121212121222441212121266121212121212121212121212121222466661212226124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1111111111111111111111-111111111111-1-111-1-1-1-1-1-11111111-11-11111-1-111-1-11-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1111111111111111111-1-1-1-111-1111111-1-1-1-111-1-111-1-111-1-1-1-111-111111-1-111-1-111-1-11-1-1-1-111-1-1-11-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11-111-1-1-1-1-1-1-1-1-11-1-1-111-1-1111-11
χ51111111111111111111111111111111-1-111111111111111111111-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-11-1-111111111-11-1-1-111-1-1-1-11-1-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-111-1-111-1-1-1-11-1-1-1-11111-111
χ71111111111111111111111111111111-1-1-1-11111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-11-11-1-1-1-111-1-1111-1-111-1-1-1-111-1-11
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
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11111-1-1-1-111-1-111-1-1-1-1-1-1111111-11-11-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1111
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-111-1-111-1-1-1-1111-1-1-1-1-111-1-1-1-11111-111-1-111-1-11-11
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-11-1-11111-1-1-1-11-111111-1-111-11-1
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111111-111111-1-1-1-1-111
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-111111-1-11111-1-111-111-1-111111-1-1
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-1-11111-1-111-1-111-1-1-1-11111-1-11-11-11111-1-1-1-111-111-1-1-1-1-1-11111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11
χ17222222-1222-1-12-122-1-122-1-122-1-12-1-122002222-1-1-1-1-1222-1-1-1-1-1-1-1-1000002200000022-1-1-1-122222200000000-1-10200-1-1-1-1-1-1-1-102000-1-10000-100
χ18222222-1222-1-12-122-1-122-1-122-1-12-1-1220022-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-100000-2200000022-1-11122-2-2-2-200000000-110-200-1-111-1-1110-2000110000100
χ19222222-1222-1-12-122-1-122-1-122-1-12-1-12200-2-222-1-1-1-1-1222-1-1-1-1-1-1-1-1000002-2000000-2-211-1-1-2-222-2-2000000001-1020011-1-111-1-10-2000110000100
χ20222222-1222-1-12-122-1-122-1-122-1-12-1-12200-2-2-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-100000-2-2000000-2-21111-2-2-2-22200000000110-2001111111102000-1-10000-100
χ21222222-1222-1-12-122-1-12-2-1-122-1-12-1-1-2-2002222-1-1-1-11-2-2-21111111100000-2-2000000-2-2-1-1-1-122222200000000110-2001111-1-1-1-10-2000-1-10000100
χ22222222-1222-1-12-122-1-12-2-1-122-1-12-1-1-2-20022-2-2-1-1-1-11-2-2-211111111000002-2000000-2-2-1-11122-2-2-2-2000000001-1020011-1-1-1-11102000110000-100
χ23222222-1222-1-12-122-1-12-2-1-122-1-12-1-1-2-200-2-222-1-1-1-11-2-2-21111111100000-220000002211-1-1-2-222-2-200000000-110-200-1-11111-1-102000110000-100
χ24222222-1222-1-12-122-1-12-2-1-122-1-12-1-1-2-200-2-2-2-2-1-1-1-11-2-2-2111111110000022000000221111-2-2-2-22200000000-1-10200-1-1-1-111110-2000-1-10000100
χ2522222-122-1-12222-122-1-122-1-1-12-1-12-1-1-1222200-1-1-1-122-1-122-1-1-1-1-1-1222220222-1-1-1-1-1-12200-1-1000000-1-1-1-1-1-12020-1-1-1-100-1-100200-1-1000000000
χ2622222-122-1-12222-122-1-122-1-1-12-1-12-1-1-122-2-200-1-1-1-122-1-122-1-1-1-1-1-1-2-2-2-220-222-1-1-1-111-2-200110000001111-1-1-2020-1-111001100-20011000000000
χ2722222-122-1-12222-122-1-122-1-1-12-1-12-1-1-1-2-22200-1-1-1-122-1-122-1-1-1-1-1-1-2-2-2-2-202-2-21111-1-12200-1-100000011111120-2011-1-100-1-100-20011000000000
χ2822222-122-1-12222-122-1-122-1-1-12-1-12-1-1-1-2-2-2-200-1-1-1-122-1-122-1-1-1-1-1-12222-20-2-2-2111111-2-20011000000-1-1-1-111-20-201111001100200-1-1000000000
χ2922222-122-1-12222-122-1-1-22-1-1-12-1-12-111222200-1-1-1-1-2-211-2-21111112222-20-222-1-111112200-1-1000000-1-1-1-1-1-1-20-20111100-1-100-20011000000000
χ3022222-122-1-12222-122-1-1-22-1-1-12-1-12-11122-2-200-1-1-1-1-2-211-2-2111111-2-2-2-2-20222-1-111-1-1-2-200110000001111-1-120-2011-1-1001100200-1-1000000000
χ3122222-122-1-12222-122-1-1-22-1-1-12-1-12-111-2-22200-1-1-1-1-2-211-2-2111111-2-2-2-220-2-2-211-1-1112200-1-1000000111111-2020-1-11100-1-100200-1-1000000000
χ3222222-122-1-12222-122-1-1-22-1-1-12-1-12-111-2-2-2-200-1-1-1-1-2-211-2-21111112222202-2-211-1-1-1-1-2-20011000000-1-1-1-1112020-1-1-1-1001100-20011000000000
χ332222-122-12222-122-1-12-12-12-1-1-12-1-1222220022-1-1-1-12-1-1-1-1-122-1-1-1-10000220-1-1222200002200-1-100220000-1-102-1-1-1-100-1-100-1-10020000-1-1000-10
χ342222-122-12222-122-1-12-12-12-1-1-12-1-12222200-2-2-1-1-1-12-1-1-1-1-122-1-1-1-100002-20-1-122220000-2-2001100-2-20000-1-10-2-11-1-10011001100-200001100010
χ352222-122-12222-122-1-12-12-12-1-1-12-1-1222-2-20022-1-1-1-12-1-1-1-1-122-1-1-1-10000-22011-2-2-2-200002200-1-100-2-2000011021-11100-1-100-1-100-200001100010
χ362222-122-12222-122-1-12-12-12-1-1-12-1-1222-2-200-2-2-1-1-1-12-1-1-1-1-122-1-1-1-10000-2-2011-2-2-2-20000-2-2001100220000110-21111001100110020000-1-1000-10
χ372222-122-12222-122-1-12-1-2-12-1-1-12-1-12-2-2220022-1-1-1-1-211111-2-211110000-2-20-1-122-2-200002200-1-100220000-1-10-21111001100-1-100-20000-1-100010
χ382222-122-12222-122-1-12-1-2-12-1-1-12-1-12-2-22200-2-2-1-1-1-1-211111-2-211110000-220-1-122-2-20000-2-2001100-2-20000-1-1021-11100-1-10011002000011000-10
χ392222-122-12222-122-1-12-1-2-12-1-1-12-1-12-2-2-2-20022-1-1-1-1-211111-2-2111100002-2011-2-22200002200-1-100-2-20000110-2-11-1-1001100-1-1002000011000-10
χ402222-122-12222-122-1-12-1-2-12-1-1-12-1-12-2-2-2-200-2-2-1-1-1-1-211111-2-21111000022011-2-2220000-2-20011002200001102-1-1-1-100-1-1001100-20000-1-100010
χ4122-2-2222-22-22-22-2-2-22220-22-2-22-22-2-20000002i−2i22-2-20000000000002i2i−2i−2i00000000000002i−2i002i−2i00002i2i−2i−2i000000000000002i−2i0000000002-2000
χ4222-2-2222-22-22-22-2-2-22220-22-2-22-22-2-20000002i−2i22-2-2000000000000−2i−2i2i2i00000000000002i−2i002i−2i0000−2i−2i2i2i000000000000002i−2i000000000-22000
χ4322-2-2222-22-22-22-2-2-22220-22-2-22-22-2-2000000−2i2i22-2-20000000000002i2i−2i−2i0000000000000−2i2i00−2i2i00002i2i−2i−2i00000000000000−2i2i000000000-22000
χ4422-2-2222-22-22-22-2-2-22220-22-2-22-22-2-2000000−2i2i22-2-2000000000000−2i−2i2i2i0000000000000−2i2i00−2i2i0000−2i−2i2i2i00000000000000−2i2i0000000002-2000
χ452-22-22222-22-22-2-2-2-222202-22-2-22-2-2-2002-22i−2i002-22-20000000000002i−2i2i−2i0002-22-200002i−2i002i−2i0000002i−2i2i−2i2-200000000002i−2i0000000000000000
χ462-22-22222-22-22-2-2-2-222202-22-2-22-2-2-2002-2−2i2i002-22-2000000000000−2i2i−2i2i0002-22-20000−2i2i00−2i2i000000−2i2i−2i2i2-20000000000−2i2i0000000000000000
χ472-22-22222-22-22-2-2-2-222202-22-2-22-2-2-200-222i−2i002-22-2000000000000−2i2i−2i2i000-22-2200002i−2i002i−2i000000−2i2i−2i2i-2200000000002i−2i0000000000000000
χ482-22-22222-22-22-2-2-2-222202-22-2-22-2-2-200-22−2i2i002-22-20000000000002i−2i2i−2i000-22-220000−2i2i00−2i2i0000002i−2i2i−2i-220000000000−2i2i0000000000000000
χ492-22-22-1221-1-22-2-21-22-1-1021-11-2-11-213−32-22i−2i00-11-11003−3003−333−3−32i−2i2i−2i0002-2-113−3−i3i32i−2i00−ii000000−ii−ii-1100003−3−i3i300−ii00000−i3i3000000000
χ502-22-22-1221-1-22-2-21-22-1-1021-11-2-11-213−32-2−2i2i00-11-11003−3003−333−3−3−2i2i−2i2i0002-2-113−3i3−i3−2i2i00i−i000000i−ii−i-1100003−3i3−i300i−i00000i3−i3000000000
χ512-22-22-1221-1-22-2-21-22-1-1021-11-2-11-213−3-222i−2i00-11-11003−3003−333−3−3−2i2i−2i2i000-221-1−33−i3i32i−2i00−ii000000i−ii−i1-10000−33−i3i300−ii00000i3−i3000000000
χ522-22-22-1221-1-22-2-21-22-1-1021-11-2-11-213−3-22−2i2i00-11-11003−3003−333−3−32i−2i2i−2i000-221-1−33i3−i3−2i2i00i−i000000−ii−ii1-10000−33i3−i300i−i00000−i3i3000000000
χ532-22-22-1221-1-22-2-21-22-1-1021-11-2-11-21−332-22i−2i00-11-1100−3300−33−3−3332i−2i2i−2i0002-2-11−33i3−i32i−2i00−ii000000−ii−ii-110000−33i3−i300−ii00000i3−i3000000000
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χ562-22-22-1221-1-22-2-21-22-1-1021-11-2-11-21−33-22−2i2i00-11-1100−3300−33−3−3332i−2i2i−2i000-221-13−3−i3i3−2i2i00i−i000000−ii−ii1-100003−3−i3i300i−i00000i3−i3000000000
χ572-2-22222-2-2-2-2-2-22222220-2-2-22-2-2-222000000002-2-220000000000002-2-2200000000000000000002-22-22-2-220000000000000000000002-22-200000
χ582-2-22222-2-2-2-2-2-22222220-2-2-22-2-2-222000000002-2-220000000000002-2-220000000000000000000-22-222-2-22000000000000000000000-22-2200000
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χ602-2-22222-2-2-2-2-2-22222220-2-2-22-2-2-222000000002-2-22000000000000-222-20000000000000000000-222-2-222-2000000000000000000000-222-200000
χ6144444-2-24-2-2-2-24-2-24-21-24-21-2-2-21-2-21-2-20044001111-24-2-2-2-21111110000004000000-2-2-2-200-2-2000000000000-2000001100110000000000000000
χ6244444-2-24-2-2-2-24-2-24-21-24-21-2-2-21-2-21-2-200-4-4001111-24-2-2-2-2111111000000-400000022220022000000000000200000-1-100-1-10000000000000000
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χ7844-4-4-24424-44-4-2-4-42-24-202422-2-4-22-4000000−4i4i-2-22200000000000000000000000000000−4i4i002i−2i00000000000000000000002i−2i00000000000000
χ7944-4-4-24-224-4-22-22-421-2-20-1-22212-2-120000004i−4i11-1-100003i−3i003i−3i3i−3i00000000000000000−2i2i00−2i2i0000000000000000003-300i−i00000000000000
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χ854-44-44-2-242-22-2-422-4-21-20-2-1-222122-123−23004i−4i001-11-10023−2300−33−3−3330000000000000−2i32i3−2i2i00−2i2i000000000000000000i3−i300i−i0000000000000000
χ864-44-44-2-242-22-2-422-4-21-20-2-1-222122-123−2300−4i4i001-11-10023−2300−33−3−33300000000000002i3−2i32i−2i002i−2i000000000000000000−i3i300−ii0000000000000000
χ874-44-44-2-242-22-2-422-4-21-20-2-1-222122-1−2323004i−4i001-11-100−2323003−333−3−300000000000002i3−2i3−2i2i00−2i2i000000000000000000−i3i300i−i0000000000000000
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χ894-44-4-244-2-44-442-4-42-24-20-2-4-222422-4004-40000-22-220000000000000000000-224-400000000000000000000-220000000000000000000000000000
χ904-44-4-244-2-44-442-4-42-24-20-2-4-222422-400-440000-22-2200000000000000000002-2-44000000000000000000002-20000000000000000000000000000
χ914-44-4-2-24-22-2-442-422-2-210-221-12-2-12223−234-400001-11-100−330023−23−3−3330000000-22-2223−230000000000000000001-10000−330000000000000000000000
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χ954-4-4444-2-4-4-422-4-244-2-24022-4422-4-2-200000000-222-2000000000000000000000000000000000004-4000000000000000000000000000-220000000
χ964-4-4444-2-4-4-422-4-244-2-24022-4422-4-2-200000000-222-200000000000000000000000000000000000-440000000000000000000000000002-20000000
χ974-4-444-24-422-4-4-44-244-2-20-422-2-4224-200000000-222-20000000000004-4-4400000000000000000000000-222-2000000000000000000000000000000
χ984-4-444-24-422-4-4-44-244-2-20-422-2-4224-200000000-222-2000000000000-444-4000000000000000000000002-2-22000000000000000000000000000000
χ994-4-44-2442-4-4-4-4244-2-24-202-42-22-42-2400000000-222-200000000000000000000000000000000000004-4000000000000000000000000000-2200000
χ1004-4-44-2442-4-4-4-4244-2-24-202-42-22-42-2400000000-222-20000000000000000000000000000000000000-440000000000000000000000000002-200000
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
χ10388-8-88-4-4-8-44-44844-8-42-404244-4-2-44-20000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-484-448-8-4-844-4-4204-4-2-2-442440000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-44-44-44-44442220-22-2-22-22-2-200000000-1-11100006i−6i00−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-44-44-44-44442220-22-2-22-22-2-200000000-1-1110000−6i6i003i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-48-4-4-884-444-842-4-4024-44-2-44-24000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-4-44-44-4444422202-22-2-22-2-2-243−43000000-11-1100−232300−232333−3−30000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-4-44-44-4444422202-22-2-22-2-2-2−4343000000-11-110023−230023−23−3−3330000000000000000000000000000000000000000000000000000000000000
χ1108-8-888-4-4-84444-8-4-48-42-404-24-44-24-42000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-48-44-8-8444-48-42-4-40-244-4-2442-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-48444-8-848-4-4-4-42044-2244-2-4-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4444444-4-4-42220-2-2-22-2-2-22200000000-111-100000000−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4444444-4-4-42220-2-2-22-2-2-22200000000-111-1000000003i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000000

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