Finite Group Databasebeta

← Group #13168433

Character table — Group #13168433

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order12223336666666663334666666666121212121212121222444466663666121212121212121212224666666661212121212121212121212121212444466666661212121212244412121212121244612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1111-1-1111111111111111111-1-111-1-1-1-1-1-1-111111-11-1-111-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1111111111111111111111-11111111111-1-1-1-111-1-11111-1-1-1-11111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111-1-11111111111111111111-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1111-1-11
χ51111111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111111111111-1-1-1-1-111-1-1-1-11-1-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-111-1111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-111-1-11111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-11-1-111-1-1-111-1-1-111-11111-1-111-11-1-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-111-1111-1-1-1-1-1-11-111
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-111-1-11-1-1111-11-1-1-1-1-111-1-111-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1111-1-111-1-1-11-1-1111111-1-11-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111111-1-1111111111-1-111-1-1-111-1-1-1-1-11-1-11111-1-1-1-111
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-111-1-111-111-1-11-11-1-1-1-1-1111111-1-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11-1-111-1-11-1-11111-1111-1-1-1-1111-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-111-1-1111-1-111-111-11111-1-1-1-1-11-11
χ17222222-122-12-12-122-12-12-122-1-1-1-1-12222222220022000000-1-1-1-1-1-1-1-1-1-1-1-1-122200-1-100000022-1-100220000220022-1-1-1-1-1-1-1-1-1-1200000-1-10000-1000
χ18222222-122-12-12-122-12-12-122-1-1-1-1-12222222220022000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22001100000022-1-100220000-2-200-2-211111-1-1-1-1-1-2000001100001000
χ19222222-122-12-12-122-12-12-122-1-1-1-1-122222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-122-200-1-1000000-2-21100-2-20000-2-20022-1-1-1-1-111111-2000001100001000
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χ21222222-122-12-12-122-12-1-2-122-1-1-1-1-12-2-2-2-2-2-2-2-20022000000-1-1-1-11111111112-2-200-1-100000022-1-100-2-2000022002-21-1-1111-1-111-200000-1-100001000
χ22222222-122-12-12-122-12-1-2-122-1-1-1-1-12-2-2-2-2-2-2-2-20022000000-1-1-1-1111111111-22-2001100000022-1-100-2-20000-2-200-22-111-1-11-1-111200000110000-1000
χ23222222-122-12-12-122-12-1-2-122-1-1-1-1-12-2-2-2-2-2-2-2-200-2-2000000-1-1-1-11111111112-2200-1-1000000-2-21100220000-2-2002-21-1-111-111-1-1200000110000-1000
χ24222222-122-12-12-122-12-1-2-122-1-1-1-1-12-2-2-2-2-2-2-2-200-2-2000000-1-1-1-1111111111-2220011000000-2-211002200002200-22-111-1-1-111-1-1-200000-1-100001000
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χ2722222-122-12-12222-12-1-122-1-1-1-1-122-1-1-122-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-122011221111110000-2-20011110000-1-12-1-1-1-10000000-2-2000000000110
χ2822222-122-12-12222-12-1-122-1-1-1-1-122-1-1-122-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-1-2-2011-2-21111110000-2-2001111000011-21111000000022000000000-1-10
χ2922222-122-12-12222-12-1-1-22-1-1-1-1-122-111-2-211112200-2-22222-1-1-1-1-211-2-211112-20-1-122-1-1-1-1110000-2-20011110000-11-2-1-11100000002-2000000000-110
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χ3222222-122-12-12222-12-1-1-22-1-1-1-1-122-111-2-21111-2-20022-2-2-2-2-1-1-1-1-211-2-21111-22011-2-21111-1-100002200-1-1-1-100001-1211-1-100000002-2000000000-110
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χ362222-122-12222-12-12-1-122-1-1-1222-1-1-122-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-1222-1-1-1-1-1-100-2-2-2001111-2-211-2-21111111100220000000-211110200-1-100-1-1000000
χ372222-122-12222-12-12-1-12-2-1-1-1222-1-1-1-2-21111112222-2-2-1-1-1-1-1-1-1-1-2-2-211111100-22200-1-1-1-1-2-2-1-1221111111100-2-20000000-2-1-1110200-1-10011000000
χ382222-122-12222-12-12-1-12-2-1-1-1222-1-1-1-2-211111122-2-2-2-2-1-1-1-1-1-1-1-1-2-2-21111110022200-1-1-1-1-2-211-2-211-1-1111100220000000211-1-10-2001100-1-1000000
χ392222-122-12222-12-12-1-12-2-1-1-1222-1-1-1-2-2111111-2-222221111-1-1-1-1-2-2-211111100-2-2-200111122-1-122-1-111-1-1-1-100220000000-2-1-1110-2001100-1-1000000
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χ1024-4-44-2-24-2242-42-42-2-21-20-2-112-2222-100003i−3i−3i3i4-40000-22-221-11-1000003i−3i−3i3i000-22001-11-10000000000−3i3i3i−3i00000000000000000000000000000000
χ1034-4-44-2-24-2242-42-42-2-21-20-2-112-2222-100003i−3i−3i3i-4400002-22-21-11-1000003i−3i−3i3i0002-200-11-1100000000003i−3i−3i3i00000000000000000000000000000000
χ1044-4-44-2-24-2242-42-42-2-21-20-2-112-2222-10000−3i3i3i−3i4-40000-22-221-11-100000−3i3i3i−3i000-22001-11-100000000003i−3i−3i3i00000000000000000000000000000000
χ1054-4-44-2-24-2242-42-42-2-21-20-2-112-2222-10000−3i3i3i−3i-4400002-22-21-11-100000−3i3i3i−3i0002-200-11-110000000000−3i3i3i−3i00000000000000000000000000000000
χ1068888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-422220000000000-1-1-1-1-42222-1-1-1-1000000000000000000000000000000000000000000000000000000000
χ1078888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-20000000000-1-1-1-14-2-2-2-21111000000000000000000000000000000000000000000000000000000000
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χ10988-8-8-4-4-44-4444-4-4442220-22-22-2-22-2-20043−43−23−2323230000000000-1-111000−232333−3−3000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-44-4444-4-4442220-22-22-2-22-2-200−43432323−23−230000000000-1-11100023−23−3−333000000000000000000000000000000000000000000000000000000000
χ1118-88-8-48-44-848-444-4-82-4-40-24444-4-22-40000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-4444-4-444-442220-2-2-2-2-22-222−4i34i3002i3−2i32i3−2i30000000000-111-102i3−2i300−i3i3−i3i3000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-4444-4-444-442220-2-2-2-2-22-2224i3−4i300−2i32i3−2i32i30000000000-111-10−2i32i300i3−i3i3−i3000000000000000000000000000000000000000000000000000000000
χ1148-8-888-4-484-444-84-8-4-4-420-44-4-22-24440000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
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χ1168-8-88-4-4-4-44-444444-422202-22-22-2-2-2-200006i−6i−6i6i0000000000-11-1100000−3i3i3i−3i000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).