Finite Group Databasebeta

← Group #13168117

Character table — Group #13168117

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818181818181818182424242424242424242424242424242436363636363636367272108108
order122233366666666633346666666661212224436661212121212121212121212122444666666121212121212121212122244444466666666612121212121212121212122412121212121261244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-11111-1-1-1-1111111111-11-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-11111111111111111-11111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-111-1-111111-1-11111-11-1-1-1-111-11-1-1
χ4111111111111111111111111111111111-1-11111111111111111-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-11-111-1-1-1-1-1-11-111-1-1-1-11-111
χ51111111111111111111111111111111-1-11111111111111111111-111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-11-1-1111-11-1-11111111-111-1-1-1-11-1-1-1
χ61111111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-111-1-1-1-1-111-1-1-1-1-11-1-1-1-111-1111
χ71111111111111111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-11-1-1-1-11111-1-1-1-111-1-1-1-111
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
χ91111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-111-1-1-1-11-1-11111-1-1-111111-1-1-111-1
χ101111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-111-1-11-1-1-1-111-1-1111-1-1-111111-1-11
χ111111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111-1-11-1-1-1-111-1-111-1-1-1-1-1-111-11
χ121111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11-1
χ131111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111-1-111-1-111111111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-11
χ141111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-1-111-11111-1-11111-1-1-1-1-1-1111-1
χ151111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-11-1-111-11111-1-111-1-11-1-1-111111-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-1-1-11-1-11111-111-1-1-1-111-111111-1-1-11-11
χ17222222-12-12-122-1222-1-1222-1-1-1-1-1-12-1-12222-1-1-1-122-1-1-1-122-1-1-1-1220022-1-1-1-122-1-1-1-1000022220000-1-1-1-12-1-1-1-1020-1-1-1-100000000-1-1000000
χ18222222-12-12-122-1222-1-1222-1-1-1-1-1-12-1-122-2-2-1-1-1-122-1-1-1-122-1-1-1-1-220022-1-111-2-2-1-1110000-2-2-2-200001111-2-1-111020-1-1110000000011000000
χ19222222-12-12-122-1222-1-1222-1-1-1-1-1-12-1-1-2-222-1-1-1-122-1-1-1-122-1-1-1-12-200-2-211-1-12211-1-10000-2-2-2-200001111211-1-10-2011-1-10000000011000000
χ20222222-12-12-122-1222-1-1222-1-1-1-1-1-12-1-1-2-2-2-2-1-1-1-122-1-1-1-122-1-1-1-1-2-200-2-21111-2-21111000022220000-1-1-1-1-211110-20111100000000-1-1000000
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χ22222222-12-12-122-1222-1-1-222-1-1-1-1-1-121122-2-2-1-1-1-1-2-21111-2-211112-20022-1-1-1-1-2-21111000022-2-20000-1-1-1-12-1-1-1-10-2011110000000011000000
χ23222222-12-12-122-1222-1-1-222-1-1-1-1-1-1211-2-222-1-1-1-1-2-21111-2-21111-2200-2-2111122-1-1-1-1000022-2-20000-1-1-1-1-21111020-1-1-1-10000000011000000
χ24222222-12-12-122-1222-1-1-222-1-1-1-1-1-1211-2-2-2-2-1-1-1-1-2-21111-2-211112200-2-211-1-1-2-2-1-1110000-2-22200001111211-1-1020-1-11100000000-1-1000000
χ2522222-1222-12-1-1222-12-12-1-12-12-12-1-1220022-1-1-1-1-1222-1-1-1-1-1-1-1-12022000022-1-10022-1-122000000220000-100-1-1-10200-1-1-1-1-1-120-1-10000-1000
χ2622222-1222-12-1-1222-12-12-1-12-12-12-1-1220022-1-1-1-1-1222-1-1-1-1-1-1-1-120-2-2000022-1-1002211-2-2000000-2-20000-100-1-110-200-1-11111-201100001000
χ2722222-1222-12-1-1222-12-12-1-12-12-12-1-12200-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-1-20220000-2-21100-2-2-1-122000000-2-2000010011-1020011-1-1-1-1-201100001000
χ2822222-1222-12-1-1222-12-12-1-12-12-12-1-12200-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-1-20-2-20000-2-21100-2-211-2-20000002200001001110-20011111120-1-10000-1000
χ2922222-1222-12-1-1222-12-1-2-1-12-12-12-1-1-2-20022-1-1-1-11-2-2-211111111-202-20000-2-2-1-10022-1-1-2-20000002200001001110200-1-1-1-111-20-1-100001000
χ3022222-1222-12-1-1222-12-1-2-1-12-12-12-1-1-2-20022-1-1-1-11-2-2-211111111-20-220000-2-2-1-100221122000000-2-2000010011-10-200-1-111-1-120110000-1000
χ3122222-1222-12-1-1222-12-1-2-1-12-12-12-1-1-2-200-2-2-1-1-1-11-2-2-211111111202-20000221100-2-2-1-1-2-2000000-2-20000-100-1-11020011-1-11120110000-1000
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χ332222-122-1222222-1-1-1-122-1-1-12-12-12-1222200-1-1-1-12-1-1-122-1-1-1-1-1-10222-1-1220000220022-1-10000220000000-1-1002-1-1-1-100-1-1-1-1020000-1-10-100
χ342222-122-1222222-1-1-1-122-1-1-12-12-12-1222200-1-1-1-12-1-1-122-1-1-1-1-1-102-2-2-1-12200002200-2-2110000-2-20000000-1-100-2-11-1-10011110-20000110100
χ352222-122-1222222-1-1-1-122-1-1-12-12-12-122-2-200-1-1-1-12-1-1-122-1-1-1-1-1-10-22211-2-20000-2-20022-1-10000-2-20000000110021-11100-1-1-1-10-20000110100
χ362222-122-1222222-1-1-1-122-1-1-12-12-12-122-2-200-1-1-1-12-1-1-122-1-1-1-1-1-10-2-2-211-2-20000-2-200-2-21100002200000001100-21111001111020000-1-10-100
χ372222-122-1222222-1-1-1-12-2-1-1-12-12-12-1-2-22200-1-1-1-1-2111-2-21111110-22-2-1-1220000-2-20022110000-2-20000000-1-100-21-11100-1-111020000110-100
χ382222-122-1222222-1-1-1-12-2-1-1-12-12-12-1-2-22200-1-1-1-1-2111-2-21111110-2-22-1-1220000-2-200-2-2-1-10000220000000-1-100211110011-1-10-20000-1-10100
χ392222-122-1222222-1-1-1-12-2-1-1-12-12-12-1-2-2-2-200-1-1-1-1-2111-2-2111111022-211-2-200002200221100002200000001100-2-1-1-1-100-1-1110-20000-1-10100
χ402222-122-1222222-1-1-1-12-2-1-1-12-12-12-1-2-2-2-200-1-1-1-1-2111-2-211111102-2211-2-200002200-2-2-1-10000-2-2000000011002-11-1-10011-1-1020000110-100
χ4122-2-2222-2-222-2-2-22-222202-2-2-2-2-222-200000022-2-2000000000000000000000000000000002-2002i−2i2i−2i22-2-20000000000000000002i−2i002i−2i0000
χ4222-2-2222-2-222-2-2-22-222202-2-2-2-2-222-200000022-2-2000000000000000000000000000000002-200−2i2i−2i2i22-2-2000000000000000000−2i2i00−2i2i0000
χ4322-2-2222-2-222-2-2-22-222202-2-2-2-2-222-200000022-2-200000000000000000000000000000000-22002i−2i−2i2i-2-222000000000000000000−2i2i002i−2i0000
χ4422-2-2222-2-222-2-2-22-222202-2-2-2-2-222-200000022-2-200000000000000000000000000000000-2200−2i2i2i−2i-2-2220000000000000000002i−2i00−2i2i0000
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χ482-2-2222222-2-2-22-2-2-22220-2222-2-2-2-2-200-22−2i2i2-22-20000000000000000-22-2200−2i2i00−2i2i0000002i−2i000000000-220000000−2i2i000000002i−2i000000
χ492-2-2222-12-1-21-221-2-22-1-10-22-1-11111-23−32-22i−2i-11-11003−33−30033−3−300002-2-11−i3i32i−2i3−3−ii0000002i−2i0000−i3i3−i3i30-11−i3i30003−3−ii00000000−ii000000
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χ512-2-2222-12-1-21-221-2-22-1-10-22-1-11111-23−3-222i−2i-11-11003−33−30033−3−30000-221-1−i3i32i−2i−33−ii000000−2i2i0000i3−i3i3−i301-1−i3i3000−33−ii00000000i−i000000
χ522-2-2222-12-1-21-221-2-22-1-10-22-1-11111-23−3-22−2i2i-11-11003−33−30033−3−30000-221-1i3−i3−2i2i−33i−i0000002i−2i0000−i3i3−i3i301-1i3−i3000−33i−i00000000−ii000000
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χ894-4-444-2-24-2222-22-4-4-2-2102-2-212-12-1223−2300−4i4i1-11-10023−23−3300−3−333000000002i3−2i32i−2i002i−2i0000000000000000000−i3i300000−ii0000000000000000
χ904-4-444-2-24-2222-22-4-4-2-2102-2-212-12-12−2323004i−4i1-11-100−23233−30033−3−3000000002i3−2i3−2i2i00−2i2i0000000000000000000−i3i300000i−i0000000000000000
χ914-4-444-2-24-2222-22-4-4-2-2102-2-212-12-12−232300−4i4i1-11-100−23233−30033−3−300000000−2i32i32i−2i002i−2i0000000000000000000i3−i300000−ii0000000000000000
χ924-4-44-244-24-4-4-44-422-2-2402-2-242-42-42004-400-22-220000000000000000-224-40000000000000000000000000-220000000000000000000000000
χ934-4-44-244-24-4-4-44-422-2-2402-2-242-42-4200-4400-22-2200000000000000002-2-4400000000000000000000000002-20000000000000000000000000
χ944-4-44-24-2-2-2-42-44222-21-202-21-2-12-12223−234-4001-11-100−3323−2300−3−3330000-22-22000023−2300000000000000000001-100000−33000000000000000000
χ954-4-44-24-2-2-2-42-44222-21-202-21-2-12-12223−23-44001-11-100−3323−2300−3−33300002-22-20000−23230000000000000000000-11000003−3000000000000000000
χ964-4-44-24-2-2-2-42-44222-21-202-21-2-12-122−23234-4001-11-1003−3−23230033−3−30000-22-220000−232300000000000000000001-1000003−3000000000000000000
χ974-4-44-24-2-2-2-42-44222-21-202-21-2-12-122−2323-44001-11-1003−3−23230033−3−300002-22-2000023−230000000000000000000-1100000−33000000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-40000-1-1-1-1-4-4222222-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4222-8222222222440000-1-1-1-144-2-2-2-2-2-21111000000000000000000000000000000000000000000000000000000000000
χ10088-8-88-4-4-84-4-44448-8-4-420-444-24-2-42400000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-48-4448-4-8-84-44-42-40-44-24-242-4400000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-484-8-4844-8-442-4-402-24444-4-4-200000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-444-4-4444-4422202-2-2-2-2-222-2000000-1-1110000000033−33−3333000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-444-4-4444-4422202-2-2-2-2-222-2000000-1-11100000000−333333−33000000000000000000000000000000000000000000000000000000000000
χ1058-88-88-4-4-8444-44-4-88-4-420444-2-424-2-40000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-48-444-848-8-44-4-42-4044-242-4-24-40000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-44444-44-44-42220-2-2-2-222-2-22000000-111-10000006-6-33-33000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-44444-44-44-42220-2-2-2-222-2-22000000-111-1000000-663-33-3000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-48-484-84-4-8442-4-40-22-4-44444-20000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-4-4-4444-44442220-2222-2-2-2-2-243−430000-11-1100−2323−23230033−3−3000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-4-4-4444-44442220-2222-2-2-2-2-2−43430000-11-110023−2323−2300−3−333000000000000000000000000000000000000000000000000000000000000

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