Finite Group Databasebeta

← Group #13168470

Character table — Group #13168470

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order12223336666666663334666666666121212121212121222444466663666121212121212121212244666666121212121212121212121212121212124444666612121212121212124444121212121212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-111111111-1-1111111111111-1-111-1-1-1-1-1111-1-1111-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1111111111111111111-11111111-1-111-1-11111-1-11111-1-1-1-111111-1-1-111-1-1-111-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-1111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1111111111111-1-1-11-1-1-1-111-1-1-1-11-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111-11-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-111-1-1-1-1-1-1-11111-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-11-1-1-11111-1-111-1-1-11
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11-1-111-1-1-1-1-1111
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11-1-1-111111-11-1-1-11111111-1-1-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-1-11-1-111-1-11111-11-1-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11-111
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1111-11-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-111111111111111-1-1-1-11-1-1-11111-11-1-111-1-111-1-1-11-11
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-11111-1111-1-1-1-11-11-1-1-11111-1-11-1-11
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1111111-1-111-11-1-111-1-111-111-1
χ17222222-12-122-12-1222-1-122-1-1-1-12-12-1-1-122-1-1-1-12222002222-1-1-1-12-1-122-1-1-1-1202-1-1-1-1-1-1002200-1-12200-1-1-1-100002-1-1-1-1000-1-100022000000000-1-100
χ18222222-12-122-12-1222-1-122-1-1-1-12-12-1-1-122-1-1-1-12222002222-1-1-1-12-1-122-1-1-1-1-20-2-1-1-1-1-1-100-2-200-1-12200-1-1-1-10000-2111100011000-2-20000000001100
χ19222222-12-122-12-1222-1-122-1-1-1-12-12-1-1-122-1-1-1-1-2-2-2-200-2-2-2-2-1-1-1-12-1-122-1-1-1-120211111100220011-2-200111100002-1-1-1-1000-1-1000-2-20000000001100
χ20222222-12-122-12-1222-1-122-1-1-1-12-12-1-1-122-1-1-1-1-2-2-2-200-2-2-2-2-1-1-1-12-1-122-1-1-1-1-20-211111100-2-20011-2-20011110000-211110001100022000000000-1-100
χ21222222-12-122-12-1222-1-1-22-1-1-1-12-12-111-2-2111122-2-2002222-1-1-1-1-211-2-2111120-2-1-1-1-1-1-100-2-20011-2-200111100002-1-1-11000110002-20000000001-100
χ22222222-12-122-12-1222-1-1-22-1-1-1-12-12-111-2-2111122-2-2002222-1-1-1-1-211-2-21111-202-1-1-1-1-1-100220011-2-20011110000-2111-1000-1-1000-22000000000-1100
χ23222222-12-122-12-1222-1-1-22-1-1-1-12-12-111-2-21111-2-22200-2-2-2-2-1-1-1-1-211-2-2111120-211111100-2-200-1-12200-1-1-1-100002-1-1-1100011000-22000000000-1100
χ24222222-12-122-12-1222-1-1-22-1-1-1-12-12-111-2-21111-2-22200-2-2-2-2-1-1-1-1-211-2-21111-202111111002200-1-12200-1-1-1-10000-2111-1000-1-10002-20000000001-100
χ2522222-1222-1-12222-1-12-12-122-1-1-1-1-12222222220000220000-1-1-1-1-1-1-1-1-1-1-1-1-1222000000-1-1-1-12200002200002200-12-1-12-1-1-1-1-1-1-100020000-1-10000-10
χ2622222-1222-1-12222-1-12-12-122-1-1-1-1-12222222220000220000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2000000-1-111220000220000-2-2001-211-2-1-1-111-1-1000-2000011000010
χ2722222-1222-1-12222-1-12-12-122-1-1-1-1-12222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-12-2200000011-1-1-2-20000-2-20000-2-200-12-1-12111-1-111000-2000011000010
χ2822222-1222-1-12222-1-12-12-122-1-1-1-1-12222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20000001111-2-20000-2-2000022001-211-2111111100020000-1-10000-10
χ2922222-1222-1-12222-1-12-1-2-122-1-1-1-1-12-2-2-2-2-2-2-2-20000220000-1-1-1-11111111112-2-2000000-1-111-2-20000220000-2-200-12-1-1-211111-1-100020000110000-10
χ3022222-1222-1-12222-1-12-1-2-122-1-1-1-1-12-2-2-2-2-2-2-2-20000220000-1-1-1-1111111111-2-22000000-1-1-1-1-2-2000022000022001-2112111-1-1-1-1000-20000-1-1000010
χ3122222-1222-1-12222-1-12-1-2-122-1-1-1-1-12-2-2-2-2-2-2-2-20000-2-20000-1-1-1-111111111122-20000001111220000-2-200002200-12-1-1-2-1-1-11111000-20000-1-1000010
χ3222222-1222-1-12222-1-12-1-2-122-1-1-1-1-12-2-2-2-2-2-2-2-20000-2-20000-1-1-1-1111111111-22200000011-1-1220000-2-20000-2-2001-2112-1-1-1-1-11100020000110000-10
χ332222-122-12222-12-12-1-122-1-1-122-12-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-102022-1-1-1-12200-1-122-1-1-1-1-1-1-1-10022000002-1-100-1-12000-1-1-1-100000000
χ342222-122-12222-12-12-1-122-1-1-122-12-1-122-1-1-1-1-1-12222-2-2-1-1-1-1-1-1-1-1222-1-1-1-1-1-10-2022-1-1-1-1-2-2001122-1-111-1-1-1-100-2-200000-2110011-2000111100000000
χ352222-122-12222-12-12-1-122-1-1-122-12-1-122-1-1-1-1-1-1-2-2-2-2221111-1-1-1-1222-1-1-1-1-1-1020-2-211112200-1-1-2-211-1-1111100-2-2000002-1-100-1-1-2000111100000000
χ362222-122-12222-12-12-1-122-1-1-122-12-1-122-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-1222-1-1-1-1-1-10-20-2-21111-2-20011-2-211111111002200000-21100112000-1-1-1-100000000
χ372222-122-12222-12-12-1-12-2-1-1-122-12-1-1-2-211111122-2-222-1-1-1-1-1-1-1-1-2-2-21111110-2022-1-1-1-1220011-2-211-1-1111100-2-200000-21100-1-1200011-1-100000000
χ382222-122-12222-12-12-1-12-2-1-1-122-12-1-1-2-211111122-2-2-2-2-1-1-1-1-1-1-1-1-2-2-211111102022-1-1-1-1-2-200-1-1-2-2111111110022000002-1-10011-2000-1-11100000000
χ392222-122-12222-12-12-1-12-2-1-1-122-12-1-1-2-2111111-2-222221111-1-1-1-1-2-2-21111110-20-2-2111122001122-1-1-1-1-1-1-1-1002200000-21100-1-1-2000-1-11100000000
χ402222-122-12222-12-12-1-12-2-1-1-122-12-1-1-2-2111111-2-222-2-21111-1-1-1-1-2-2-2111111020-2-21111-2-200-1-122-1-111-1-1-1-100-2-2000002-1-10011200011-1-100000000
χ4122-2-2222-2-22-2-2-222-22220-2-2-2-22-2-222000000002-2000022-2-22-2-220000000000002-222-2-200000000000000002i−2i00000000000000000000002i−2i2i−2i0000
χ4222-2-2222-2-22-2-2-222-22220-2-2-2-22-2-222000000002-2000022-2-22-2-220000000000002-222-2-20000000000000000−2i2i0000000000000000000000−2i2i−2i2i0000
χ4322-2-2222-2-22-2-2-222-22220-2-2-2-22-2-22200000000-220000-2-2222-2-22000000000000-22-2-22200000000000000002i−2i00000000000000000000002i−2i−2i2i0000
χ4422-2-2222-2-22-2-2-222-22220-2-2-2-22-2-22200000000-220000-2-2222-2-22000000000000-22-2-2220000000000000000−2i2i0000000000000000000000−2i2i2i−2i0000
χ452-2-22222-22-22-22-2-2-22220-22-2-2-222-2-200000000002i−2i2i−2i000022-2-20000000000000000002i−2i00002i−2i2i−2i2i−2i2i2i−2i−2i002-200000000002i−2i00002-20000000000
χ462-2-22222-22-22-22-2-2-22220-22-2-2-222-2-200000000002i−2i−2i2i000022-2-2000000000000000000−2i2i00002i−2i2i−2i−2i2i2i2i−2i−2i00-220000000000−2i2i0000-220000000000
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χ482-2-22222-22-22-22-2-2-22220-22-2-2-222-2-20000000000−2i2i−2i2i000022-2-2000000000000000000−2i2i0000−2i2i−2i2i−2i2i−2i−2i2i2i002-20000000000−2i2i00002-20000000000
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χ502-2-22-12212-22-2-1-21-2-1-1201-11-2-2-1211003−333−3−3002i−2i−2i2i−i3i3−i3i3-1-1110003−333−3−300000−i3i3−i3i3−2i2i00i3−i32i−2i−iii−i−i−iii00-22000000i3−i300i−i00001-1−3300000000
χ512-2-22-12212-22-2-1-21-2-1-1201-11-2-2-1211003−333−3−300−2i2i2i−2ii3−i3i3−i3-1-1110003−333−3−300000i3−i3i3−i32i−2i00−i3i3−2i2ii−i−iiii−i−i00-22000000−i3i300−ii00001-1−3300000000
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χ552-2-22-12212-22-2-1-21-2-1-1201-11-2-2-121100−33−3−33300−2i2i2i−2i−i3i3−i3i3-1-111000−33−3−33300000−i3i3−i3i32i−2i00i3−i3−2i2ii−i−iiii−i−i00-22000000i3−i300−ii00001-13−300000000
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χ5744444-2-24-2-2-2-24-24-2-2-214-2-2-211-21-2-2-2-244-2-2-2-200000000001111-211-2-2111140400000000-2-20000000000000000-2-211-200011000000000000000000
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χ1178-8-88-4-4-44-44-44-44442220-22-2-2-222-2-200−43432323−23−230000000000-1-11100023−23−3−333000000000000000000000000000000000000000000000000000000000

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