Finite Group Databasebeta

← Group #13168472

Character table — Group #13168472

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order12223336666666663334666666666121212121212121222444466663666121212121212121212444666666121212121212121212121212121212124444121212121212121212121212244412121212121244612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1111111111111-1-1-11-1-111-1-111-1-1-1-11-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-111111111111111111-111111111-1-11111-1-111-1-11111-1-1-1-11-111-1-111-1-1111-1-11-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-1111111-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-111
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-111111111111111-11-1-1-1-1-1-111-1-1-1-11-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-11-1-11-1-1-1-1-1-11111-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11-111-1-111-1-111-1-11-11111-1-111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11-111-1-1-1-1111-11-111-1-111111-1-1-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-111111-1-1-1-1-1-1-1111
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-111-1-1-1-1-1111111-1-1-1-111-1-1-1-11-111
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-11-1-11111-1-1-1-1-11-1-1111111-11-1-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11111111111-1-111111111-1-11-111-1-1-1-111-1-1-11-1-11111-1-1-11-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11111-1-1111111-1-11-1-111111-1-1-1-111-1-1-1-111-1-1111-11-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-111-1-1-1-1-11111-111111-1-1-1-111-111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11111-11-1-11111-1-11-11-111-1-111-1-11-1-11
χ17222222-122-12-1-12222-1-122-1-1-12-12-1-1-1-122-1-1-1-12222002222-1-1-1-1222-1-1-1-1-1-1022-1-1-1-1-1-100-1-122002200-1-1-1-10000-10-1200-1-100-1-1200200000000-1-100
χ18222222-122-12-1-12222-1-122-1-1-12-12-1-1-1-122-1-1-1-12222002222-1-1-1-1222-1-1-1-1-1-10-2-2-1-1-1-1-1-100-1-1-2-2002200-1-1-1-10000101-200110011-200-2000000001100
χ19222222-122-12-1-12222-1-122-1-1-12-12-1-1-1-122-1-1-1-1-2-2-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-102211111100112200-2-20011110000-10-1200-1-100-1-1-200-2000000001100
χ20222222-122-12-1-12222-1-122-1-1-12-12-1-1-1-122-1-1-1-1-2-2-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-10-2-21111110011-2-200-2-20011110000101-200110011200200000000-1-100
χ21222222-122-12-1-12222-1-1-22-1-1-12-12-1-111-2-2111122-2-2002222-1-1-1-1-2-2-211111102-2-1-1-1-1-1-100112200-2-2001111000010-1-2001100-1-1200-200000000-1100
χ22222222-122-12-1-12222-1-1-22-1-1-12-12-1-111-2-2111122-2-2002222-1-1-1-1-2-2-21111110-22-1-1-1-1-1-10011-2-200-2-20011110000-101200-1-10011-2002000000001-100
χ23222222-122-12-1-12222-1-1-22-1-1-12-12-1-111-2-21111-2-22200-2-2-2-2-1-1-1-1-2-2-211111102-211111100-1-122002200-1-1-1-1000010-1-2001100-1-1-2002000000001-100
χ24222222-122-12-1-12222-1-1-22-1-1-12-12-1-111-2-21111-2-22200-2-2-2-2-1-1-1-1-2-2-21111110-2211111100-1-1-2-2002200-1-1-1-10000-101200-1-10011200-200000000-1100
χ2522222-12-122222-1-12-12-12-12-1-1-12-12-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12-1-122-1-1-1-120022-1-1-1-1222200-1-1-1-1-1-1-1-1-1-122000200-1-100-1-1000020-1-1-1-100000000
χ2622222-12-122222-1-12-12-12-12-1-1-12-12-122-1-1-1-1-1-12222-2-2-1-1-1-1-1-1-1-12-1-122-1-1-1-1-20022-1-1-1-1-2-2220011-1-111-1-1-1-1-2-2000-2001100110000-20111100000000
χ2722222-12-122222-1-12-12-12-12-1-1-12-12-122-1-1-1-1-1-1-2-2-2-2221111-1-1-1-12-1-122-1-1-1-1200-2-2111122-2-200-1-111-1-11111-2-2000200-1-100-1-10000-20111100000000
χ2822222-12-122222-1-12-12-12-12-1-1-12-12-122-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-200-2-21111-2-2-2-200111111111122000-200110011000020-1-1-1-100000000
χ2922222-12-122222-1-12-12-1-2-12-1-1-12-12-1-2-211111122-2-222-1-1-1-1-1-1-1-1-211-2-21111-20022-1-1-1-122-2-200-1-111111111-2-2000-200-1-10011000020-1-11100000000
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χ342222-1222-12-12222-1-1-122-1-122-1-1-1-12222222220000220000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2000000-1-10011220022000000-2-2-2-1-21-1-111-1-1110-200000011000010
χ352222-1222-12-12222-1-1-122-1-122-1-1-1-12222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2220000001100-1-1-2-200-2-2000000-2-2212-111-1-111-1-10-200000011000010
χ362222-1222-12-12222-1-1-122-1-122-1-1-1-12222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2000000110011-2-200-2-200000022-21-211111111102000000-1-10000-10
χ372222-1222-12-12222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-20000220000-1-1-1-1111111111-22-2000000-1-100-1-12200-2-200000022-2121-1-11111-1-10-2000000-1-1000010
χ382222-1222-12-12222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-20000220000-1-1-1-1111111111-2-22000000-1-100112200-2-2000000-2-221-2-1-1-1-1-1111102000000110000-10
χ392222-1222-12-12222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-20000-2-20000-1-1-1-111111111122-20000001100-1-1-2-20022000000-2-2-2-1211111-1-1-1-102000000110000-10
χ402222-1222-12-12222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-20000-2-20000-1-1-1-11111111112-22000000110011-2-20022000000222-1-2-111-1-1-1-1110-2000000-1-1000010
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χ4422-2-2222-2-2-222-2-22-22220-2-2-2-2-2-222200000000-220000-2-2222-2-22000000000000-22-2-222000000000000000000−2i2i00000000000000000000−2i2i2i−2i0000
χ452-2-22222-22-2-2-222-2-22220-222-22-2-2-2-200000000002i−2i2-2000022-2-20000000000000000002-22i−2i002-22i−2i002i2i−2i−2i2i−2i0000002-20000000000002i−2i00000000
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χ994-4-444-2-2242-42-2-22-4-2-2102-21-1-2222-100−232333−3−300−4i4i00−2i32i3−2i32i311-1-10−23230033−3−300000i3−i3i3−i3002i−2i00002i−2i00−i−iii00000000000000000000000000000000
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χ1034-4-44-2-242-2-42-44-2221-2-20-1-2-2212-1220023−232323−23−230000-44000011-1-10−3300−3−3330000000002-200002-200−2323000000000000-11003−3000000000000000000
χ1044-4-44-2-242-2-42-44-2221-2-20-1-2-2212-12200−2323−23−23232300004-4000011-1-103−30033−3−3000000000-220000-2200−23230000000000001-1003−3000000000000000000
χ1054-4-44-2-242-2-42-44-2221-2-20-1-2-2212-12200−2323−23−2323230000-44000011-1-103−30033−3−30000000002-200002-20023−23000000000000-1100−33000000000000000000
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χ11088-8-8-4-4-4444-4-444-442220-2-2-2-2-2-222200006-66-60000000000-111-100000-33-33000000000000000000000000000000000000000000000000000000000
χ11188-8-8-4-4-4444-4-444-442220-2-2-2-2-2-22220000-66-660000000000-111-1000003-33-3000000000000000000000000000000000000000000000000000000000
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χ1148-88-8-4-4-4-44-444444-422202-2-22-22-2-2-2−43430023−23−23230000000000-11-1100023−23−333−3000000000000000000000000000000000000000000000000000000000
χ1158-8-88-48-4-8-4444-48-84-42-4042-44-4-24-2400000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-44-4444-4-4442220-222-22-2-2-2-20043−43−23−2323230000000000-1-1110−23230033−3−3000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-44-4444-4-4442220-222-22-2-2-2-200−43432323−23−230000000000-1-111023−2300−3−333000000000000000000000000000000000000000000000000000000000

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