Finite Group Databasebeta

← Group #13170795

Character table — Group #13170795

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444666666888888888888888899991212121212121212121212121212121212121218181818181818182424242424242424242424242424242436363636363636363654547272108
order12223336666666663334666666666121222224436661212121212121212121212124444444666666661212121212121212224412121212666612121212121212121212121222466661212446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111111111111-1-1-1-11-111111111111-1-1-1-1-1-111-1-1-1-1-1-11111111-11111-1-1-1-11-1-1-1-111-1-1-1-11-1-1
χ3111111111111111111111111111111111-1-11111111111111111111111-111-1-11111-1-111111111-1-1-1-1111111-1-11-1-1111-1-11111-11-111-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-11-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11-1-1-111-1-1-1-1-1-1-1-11-1-1-1-11111-111
χ51111111111111111111111111111111-1-111111111111111111111-1-1-1-111-111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-111-1111-1-1111111-1-11-1-1-1-111-1-1-11-1
χ61111111111111111111111111111111-1-111-1-1111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-1-111-1-1-1-1-11-111-1-1-1-111-1-11
χ71111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-111-1-1111-11
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
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-11-1-1-1-111-1-1-1111111-1-1-1-1-111
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-1-1-111-1-1111-11-1-1-1-1-1-1-1-1111
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1111-1-11111-1-111-111-1-111111-1-1
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1111-1-1-111-1-1-1-11111-111-1-111-1-11-11
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111-1-1111-1-111-1-11-11-1-1-1-1-1-11111-1
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1111-11111-1-111-1111111-1-111-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-11111-1-1-1-11
χ17222222-12-122-1-12222-1-122-1-1-1-12-1-1222222200-1-1-1-1-12-1-1-1-122-1-1-1-100002022222-1-1-1-12200000022000000-1-1-1-1-1-120-1-1-1-1000020000-1-10000-100
χ18222222-12-122-1-12222-1-122-1-1-1-12-1-122222-2-200-1-1-1-1-12-1-1-1-122-1-1-1-10000-202-2-222-1-11122000000-2-2000000-1-111-11-20-1-1110000-20000110000100
χ19222222-12-122-1-12222-1-122-1-1-1-12-1-1222-2-22200-1-1-1-1-12-1-1-1-122-1-1-1-1000020-222-2-211-1-1-2-2000000-2-200000011-1-11-12011-1-10000-20000110000100
χ20222222-12-122-1-12222-1-122-1-1-1-12-1-1222-2-2-2-200-1-1-1-1-12-1-1-1-122-1-1-1-10000-20-2-2-2-2-21111-2-200000022000000111111-201111000020000-1-10000-100
χ21222222-12-122-1-12222-1-1-22-1-1-1-12-1-12-2-2222200-1-1-1-11-21111-2-211110000-20-22222-1-1-1-1-2-200000022000000-1-1-1-111-2011110000-20000-1-10000100
χ22222222-12-122-1-12222-1-1-22-1-1-1-12-1-12-2-222-2-200-1-1-1-11-21111-2-21111000020-2-2-222-1-111-2-2000000-2-2000000-1-1111-12011-1-1000020000110000-100
χ23222222-12-122-1-12222-1-1-22-1-1-1-12-1-12-2-2-2-22200-1-1-1-11-21111-2-211110000-20222-2-211-1-122000000-2-200000011-1-1-11-20-1-111000020000110000-100
χ24222222-12-122-1-12222-1-1-22-1-1-1-12-1-12-2-2-2-2-2-200-1-1-1-11-21111-2-211110000202-2-2-2-2111122000000220000001111-1-120-1-1-1-10000-20000-1-10000100
χ2522222-1222-1-1222-12-12-12-12-12-1-12-1-1-1-1220022-1-1-1-12222-1-1-1-1-1-1-1-1222202200-1-12200-1-1-1-1-1-1220000-1-1-1-1-1-1002002-1-100-1-1-1-1020-1-1000000000
χ2622222-1222-1-1222-12-12-12-12-12-1-12-1-1-1-12200-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20-2200-1-12200-1-11111-2-200001111-1-100200-2-1-10011110-2011000000000
χ2722222-1222-1-1222-12-12-12-12-12-1-12-1-1-1-1-2-20022-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-202-20011-2-20011-1-1-1-122000011111100-20021100-1-1-1-10-2011000000000
χ2822222-1222-1-1222-12-12-12-12-12-1-12-1-1-1-1-2-200-2-2-1-1-1-12222-1-1-1-1-1-1-1-122220-2-20011-2-200111111-2-20000-1-1-1-11100-200-211001111020-1-1000000000
χ2922222-1222-1-1222-12-12-1-2-12-12-1-12-1-111220022-1-1-1-1-2-2-2-21111111122220-2-200-1-122001111-1-1220000-1-1-1-1-1-100-200-2110011-1-10-2011000000000
χ3022222-1222-1-1222-12-12-1-2-12-12-1-12-1-1112200-2-2-1-1-1-1-2-2-2-211111111-2-2-2-202-200-1-1220011-1-111-2-200001111-1-100-20021100-1-111020-1-1000000000
χ3122222-1222-1-1222-12-12-1-2-12-12-1-12-1-111-2-20022-1-1-1-1-2-2-2-211111111-2-2-2-20-220011-2-200-1-111-1-122000011111100200-2-1-10011-1-1020-1-1000000000
χ3222222-1222-1-1222-12-12-1-2-12-12-1-12-1-111-2-200-2-2-1-1-1-1-2-2-2-21111111122220220011-2-200-1-1-1-111-2-20000-1-1-1-111002002-1-100-1-1110-2011000000000
χ332222-122-122222-12-1-1-122-1-12-12-1-12-122002222-1-1-1-12-1-1-122-1-1-1-1-1-10000220-1-1000022002222-1-10022000000-1-102-1-100-1-1-1-1-1-10020000-1-1000-10
χ342222-122-122222-12-1-1-122-1-12-12-1-12-1220022-2-2-1-1-1-12-1-1-122-1-1-1-1-1-100002-20-1-100002200-2-2-2-21100-2-2000000-1-102-1100-1-1111100-200001100010
χ352222-122-122222-12-1-1-122-1-12-12-1-12-12200-2-222-1-1-1-12-1-1-122-1-1-1-1-1-10000-220110000-2-2002222-1-100-2-2000000110-21-10011-1-1-1-100-200001100010
χ362222-122-122222-12-1-1-122-1-12-12-1-12-12200-2-2-2-2-1-1-1-12-1-1-122-1-1-1-1-1-10000-2-20110000-2-200-2-2-2-2110022000000110-211001111110020000-1-1000-10
χ372222-122-122222-12-1-1-12-2-1-12-12-1-12-1-2-2002222-1-1-1-1-2111-2-21111110000-2-20-1-100002200-2-222-1-10022000000-1-10-211001111-1-100-20000-1-100010
χ382222-122-122222-12-1-1-12-2-1-12-12-1-12-1-2-20022-2-2-1-1-1-1-2111-2-21111110000-220-1-10000220022-2-21100-2-2000000-1-10-21-10011-1-111002000011000-10
χ392222-122-122222-12-1-1-12-2-1-12-12-1-12-1-2-200-2-222-1-1-1-1-2111-2-211111100002-20110000-2-200-2-222-1-100-2-20000001102-1100-1-111-1-1002000011000-10
χ402222-122-122222-12-1-1-12-2-1-12-12-1-12-1-2-200-2-2-2-2-1-1-1-1-2111-2-21111110000220110000-2-20022-2-21100220000001102-1-100-1-1-1-11100-20000-1-100010
χ4122-2-2222-2-22-22-22-2-22220-2-22-2-222-2-2002-2002i−2i22-2-20000000000002i2i−2i−2i000002-22-20000002i−2i2i−2i00002i2i−2i−2i2-20000000000002i−2i00000000000000
χ4222-2-2222-2-22-22-22-2-22220-2-22-2-222-2-2002-200−2i2i22-2-2000000000000−2i−2i2i2i000002-22-2000000−2i2i−2i2i0000−2i−2i2i2i2-2000000000000−2i2i00000000000000
χ4322-2-2222-2-22-22-22-2-22220-2-22-2-222-2-200-22002i−2i22-2-2000000000000−2i−2i2i2i00000-22-220000002i−2i2i−2i0000−2i−2i2i2i-220000000000002i−2i00000000000000
χ4422-2-2222-2-22-22-22-2-22220-2-22-2-222-2-200-2200−2i2i22-2-20000000000002i2i−2i−2i00000-22-22000000−2i2i−2i2i00002i2i−2i−2i-22000000000000−2i2i00000000000000
χ4522-2-22-12-2-2-112-221-2-12-101-2-1-21-12113−32-2002i−2i-1-11100003−33−333−3−32i2i−2i−2i00000-112-2003−3−i3i3−ii2i−2i0000−i−iii-110000003−300−i3i3−ii000−i3i3000000000
χ4622-2-22-12-2-2-112-221-2-12-101-2-1-21-12113−32-200−2i2i-1-11100003−33−333−3−3−2i−2i2i2i00000-112-2003−3i3−i3i−i−2i2i0000ii−i−i-110000003−300i3−i3i−i000i3−i3000000000
χ4722-2-22-12-2-2-112-221-2-12-101-2-1-21-12113−3-22002i−2i-1-11100003−33−333−3−3−2i−2i2i2i000001-1-2200−33−i3i3−ii2i−2i0000ii−i−i1-1000000−3300−i3i3−ii000i3−i3000000000
χ4822-2-22-12-2-2-112-221-2-12-101-2-1-21-12113−3-2200−2i2i-1-11100003−33−333−3−32i2i−2i−2i000001-1-2200−33i3−i3i−i−2i2i0000−i−iii1-1000000−3300i3−i3i−i000−i3i3000000000
χ4922-2-22-12-2-2-112-221-2-12-101-2-1-21-1211−332-2002i−2i-1-1110000−33−33−3−3332i2i−2i−2i00000-112-200−33i3−i3−ii2i−2i0000−i−iii-11000000−3300i3−i3−ii000i3−i3000000000
χ5022-2-22-12-2-2-112-221-2-12-101-2-1-21-1211−332-200−2i2i-1-1110000−33−33−3−333−2i−2i2i2i00000-112-200−33−i3i3i−i−2i2i0000ii−i−i-11000000−3300−i3i3i−i000−i3i3000000000
χ5122-2-22-12-2-2-112-221-2-12-101-2-1-21-1211−33-22002i−2i-1-1110000−33−33−3−333−2i−2i2i2i000001-1-22003−3i3−i3−ii2i−2i0000ii−i−i1-10000003−300i3−i3−ii000−i3i3000000000
χ5222-2-22-12-2-2-112-221-2-12-101-2-1-21-1211−33-2200−2i2i-1-1110000−33−33−3−3332i2i−2i−2i000001-1-22003−3−i3i3i−i−2i2i0000−i−iii1-10000003−300−i3i3i−i000i3−i3000000000
χ532-22-22222-2-22-22-2-2-2222022-2-2-2-2-22-200002-2002-22-20000000000002i−2i2i−2i0002-200002-20000000000002i−2i2i−2i002-20000000000000000000002i−2i000
χ542-22-22222-2-22-22-2-2-2222022-2-2-2-2-22-200002-2002-22-2000000000000−2i2i−2i2i0002-200002-2000000000000−2i2i−2i2i002-2000000000000000000000−2i2i000
χ552-22-22222-2-22-22-2-2-2222022-2-2-2-2-22-20000-22002-22-20000000000002i−2i2i−2i000-220000-220000000000002i−2i2i−2i00-22000000000000000000000−2i2i000
χ562-22-22222-2-22-22-2-2-2222022-2-2-2-2-22-20000-22002-22-2000000000000−2i2i−2i2i000-220000-22000000000000−2i2i−2i2i00-220000000000000000000002i−2i000
χ572-2-22222-22-2-2-2-2-2222220-2-2-222-2-2-22000000002-2-220000000000002-2-2200000000000000000002-22-22-2-220000000000000000000002-22-200000
χ582-2-22222-22-2-2-2-2-2222220-2-2-222-2-2-22000000002-2-220000000000002-2-220000000000000000000-22-222-2-22000000000000000000000-22-2200000
χ592-2-22222-22-2-2-2-2-2222220-2-2-222-2-2-22000000002-2-22000000000000-222-200000000000000000002-2-22-222-20000000000000000000002-2-2200000
χ602-2-22222-22-2-2-2-2-2222220-2-2-222-2-2-22000000002-2-22000000000000-222-20000000000000000000-222-2-222-2000000000000000000000-222-200000
χ6144444-2-24-2-2-2-2-24-24-2-214-2-21-21-2-21-2-2-24400001111-24-2-211-2-21111000000400-2-2-2-200-2-2000000000000001100-20001100000000000000000000
χ6244444-2-24-2-2-2-2-24-24-2-214-2-21-21-2-21-2-2-2-4-400001111-24-2-211-2-21111000000-4002222002200000000000000-1-1002000-1-100000000000000000000
χ6344444-2-24-2-2-2-2-24-24-2-21-4-2-21-21-2-21-22244000011112-422-1-122-1-1-1-1000000-400-2-2-2-200220000000000000011002000-1-100000000000000000000
χ6444444-2-24-2-2-2-2-24-24-2-21-4-2-21-21-2-21-222-4-4000011112-422-1-122-1-1-1-1000000400222200-2-200000000000000-1-100-20001100000000000000000000
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χ704444-2-24-24-2-244-2-2-21-2-241-2-2-2-21-2-21-2-20000-4-411114-2-2-2-2-211111100000-40000000000022222200000000000000020000-1-1-1-100000000000000
χ714444-2-24-24-2-244-2-2-21-2-2-41-2-2-2-21-2-21220000441111-422222-1-1-1-1-1-100000-40000000000022-2-2-2-200000000000000020000-1-11100000000000000
χ724444-2-24-24-2-244-2-2-21-2-2-41-2-2-2-21-2-21220000-4-41111-422222-1-1-1-1-1-100000400000000000-2-22222000000000000000-2000011-1-100000000000000
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χ7844-4-44-2-2-42-22-2242-4-2-2102212-1-2-2-12−2323-44000011-1-100003−3−232333−3−30000000002-22-20023−2300000000000000-11000000−3300000000000000000000
χ7944-4-4-2442-44-44-4-2-42-2-2402242-4-2-2-420000004i−4i-2-22200000000000000000000000000000004i−4i−2i2i0000000000000000000000−2i2i00000000000000
χ8044-4-4-2442-44-44-4-2-42-2-2402242-4-2-2-42000000−4i4i-2-2220000000000000000000000000000000−4i4i2i−2i00000000000000000000002i−2i00000000000000
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χ8244-4-4-2-242-4-224-4-2221-2-20-12-2221-22-123−230000−4i4i11-1-1000023−23−33−3−333000000000000000002i3−2i32i−2i2i−2i00000000000000000000−i3i3−ii00000000000000
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χ8444-4-4-2-242-4-224-4-2221-2-20-12-2221-22-1−23230000−4i4i11-1-10000−23233−333−3−300000000000000000−2i32i32i−2i2i−2i00000000000000000000i3−i3−ii00000000000000
χ854-44-444-242-442-2-4-4-44-2-204-2222-42-2-400004-400-22-2200000000000000000004-40000-22000000000000000000-2200000000000000000000000000
χ864-44-444-242-442-2-4-4-44-2-204-2222-42-2-40000-4400-22-220000000000000000000-4400002-20000000000000000002-200000000000000000000000000
χ874-44-44-244-42-2-44-42-4-24-20-242-422-4-2200000000-22-220000000000004i−4i4i−4i00000000000000000000000−2i2i−2i2i000000000000000000000000000000
χ884-44-44-244-42-2-44-42-4-24-20-242-422-4-2200000000-22-22000000000000−4i4i−4i4i000000000000000000000002i−2i2i−2i000000000000000000000000000000
χ894-44-4-244-2-4-44-442-42-2-240-2-2-42-4224200004-400-22-220000000000000000000-2200004-4000000000000000000-2200000000000000000000000000
χ904-44-4-244-2-4-44-442-42-2-240-2-2-42-422420000-4400-22-2200000000000000000002-20000-440000000000000000002-200000000000000000000000000
χ914-44-4-24-2-22-442-22-42-21-20-212-122-1-2200004-4001-11-1003i−3i00003i−3i3i−3i0000000-220000-220000000000000000001-10000003i−3i000000000000000000
χ924-44-4-24-2-22-442-22-42-21-20-212-122-1-2200004-4001-11-100−3i3i0000−3i3i−3i3i0000000-220000-220000000000000000001-1000000−3i3i000000000000000000
χ934-44-4-24-2-22-442-22-42-21-20-212-122-1-220000-44001-11-1003i−3i00003i−3i3i−3i00000002-200002-2000000000000000000-11000000−3i3i000000000000000000
χ944-44-4-24-2-22-442-22-42-21-20-212-122-1-220000-44001-11-100−3i3i0000−3i3i−3i3i00000002-200002-2000000000000000000-110000003i−3i000000000000000000
χ954-4-4444-2-4-2-4-422-4444-2-20-422-2-2-422400000000-222-2000000000000000000000000000000000004-4000000000000000000000000000-220000000
χ964-4-4444-2-4-2-4-422-4444-2-20-422-2-2-422400000000-222-200000000000000000000000000000000000-440000000000000000000000000002-20000000
χ974-4-444-24-4422-4-4-4-24-24-202-424-22-42-200000000-222-20000000000004-4-4400000000000000000000000-222-2000000000000000000000000000000
χ984-4-444-24-4422-4-4-4-24-24-202-424-22-42-200000000-222-2000000000000-444-4000000000000000000000002-2-22000000000000000000000000000000
χ994-4-44-24424-4-4-4-424-2-2-24022-4-2422-4-200000000-222-200000000000000000000000000000000000004-4000000000000000000000000000-2200000
χ1004-4-44-24424-4-4-4-424-2-2-24022-4-2422-4-200000000-222-20000000000000000000000000000000000000-440000000000000000000000000002-200000
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
χ10388-8-8-48-4448-8-44-4-84-42-404-2-4-24-42440000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-444-44-44-4442220-2-22-2-222-2-243−43000000-1-1110000−2323−232333−3−30000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-444-44-44-4442220-2-22-2-222-2-2−4343000000-1-111000023−2323−23−3−3330000000000000000000000000000000000000000000000000000000000000
χ1068-88-88-4-4844-44-4-84-8-4-420-4-4-24-24424000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-48-4-84-4-884442-4-402-4444-24-4-2000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-4-444-44-4444222022-2-2-2-2-22-200000000-11-11006i−6i0000−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-4-444-44-4444222022-2-2-2-2-22-200000000-11-1100−6i6i00003i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000
χ1108-8-888-4-4-8-44444-8-48-4-42044-2-4244-2-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-48-44-4-8-84448-4-42-404-242-44-24-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-484844-8-84-4-42-4-40-244-4-4-2442000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-44-444444-4-42220-2-2-222-2-2-2200000000-111-100000000−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-44-444444-4-42220-2-2-222-2-2-2200000000-111-1000000003i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000000

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