Finite Group Databasebeta

← Group #13168712

Character table — Group #13168712

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order12223336666666663334666666666121212121212121222224412121212366612121212121212121244466666666666612121212121212121212444466121212121212121212124444121212121212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-11111111111111111-1-1111111-1-111-1-1-1111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-111111111111111111111-1111-1-111-1-11111-1-111111111-1-1-1-1-1-1111-1-1-11111-111-1-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111-1-11111111111111111111-1-1-111-1-111-1-11111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111
χ51111111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111111111-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-111111111111111-1-1-11-1-1-1-111-1-1-1-11-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111111-11-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-11111-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111-1-1-111111-1-1-11111-1-111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1111-11-1-1-1-1-111-1-11111-1-1-1-1111-11-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-111-1-1-1-1111111-11-1-1-1-111-1-1-11-1-111-1-111-1-1-11-11
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11-11111-1-1111-11-1-1-11111-1-11-1-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-11-111111-1-111-11-1-111-1-111-111-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1111-11-1-1-1-1-11111-11-1-111-1-1-1-1-1111
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-111111111-1-11111-11-1-1-1-111-1-11-11-1-1-11111111-1-1-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-11-11111-1-111-11-1-111-1-11111-11-1-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-111111-1-1-1-11111-1-1-1-1-1-11-111
χ17222222-122-12-12-1222-1-122-1-1-1-12-12-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-12-1-122-1-1-1-10202222-1-1-1-1-1-1-1-1-1-12200-1-1-1-12200-1-10002-1-100002000-1-1-1-100000000
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χ362222-122-122-12222-1-1-122-1-122-1-1-1-122222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2001100-2-20000-2-2001100000022111-2-2111111100020000-1-10000-10
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χ894-44-4-2442-4-4-2-4-4442-2-24022-4-4-222-24000000000000000000-222-20000000000000000000000000000000000004i−4i00000000000000000000−2i2i000000
χ904-44-4-2442-4-4-2-4-4442-2-24022-4-4-222-24000000000000000000-222-2000000000000000000000000000000000000−4i4i000000000000000000002i−2i000000
χ914-4-44444-4-44-4-44-4-444440-4-4-44-444-4-40000000000000000004-44-4000000000000000000000000000000000000000000000000000000000000000000
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χ954-4-444-24-424-4-4-2-424-24-202-42-2-4-242200−2323−232323−230000000000-22-22000−2323−232323−23000000000000000000000000000000000000000000000000000000000
χ964-4-444-2-2-42-2-42-2224-2-21022-112-2-22-10023−23−333−300000023−23−23231-11-100023−23−333−300000000000-333-3000000−333−300000000000000000000000000000000
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χ984-4-444-2-2-42-2-42-2224-2-21022-112-2-22-100−23233−3−3300000023−23−23231-11-1000−23233−3−33000000000003-3-33000000−333−300000000000000000000000000000000
χ994-4-444-2-2-42-2-42-2224-2-21022-112-2-22-100−23233−3−33000000−232323−231-11-1000−23233−3−3300000000000-333-30000003−3−3300000000000000000000000000000000
χ1004-4-44-2442-442-44-4-4-2-2-24022-442-2-22-4000000000000000000-22-220000000000000000000000000000−2i32i30000000000000000−2i32i3000000000000000000
χ1014-4-44-2442-442-44-4-4-2-2-24022-442-2-22-4000000000000000000-22-2200000000000000000000000000002i3−2i300000000000000002i3−2i3000000000000000000
χ1024-4-44-2-242242-4-2-42-21-2-20-122-221-2-120023−2323−23−232300000000001-11-1000−33−333−30000000000000000000−2i32i30000000000000000i3−i33i−3i0000000000000000
χ1034-4-44-2-242242-4-2-42-21-2-20-122-221-2-120023−2323−23−232300000000001-11-1000−33−333−300000000000000000002i3−2i30000000000000000−i3i3−3i3i0000000000000000
χ1044-4-44-2-242242-4-2-42-21-2-20-122-221-2-1200−2323−232323−2300000000001-11-10003−33−3−330000000000000000000−2i32i30000000000000000i3−i3−3i3i0000000000000000
χ1054-4-44-2-242242-4-2-42-21-2-20-122-221-2-1200−2323−232323−2300000000001-11-10003−33−3−3300000000000000000002i3−2i30000000000000000−i3i33i−3i0000000000000000
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
χ10888-8-8-4-48-4-4-8484-8442-4-402-4-444-24-2400000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-4-4-444-444442220222-2-2-2-2-2-243−4300−23−2323230000000000-1-1110−23230033−3−3000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-4-4-444-444442220222-2-2-2-2-2-2−4343002323−23−230000000000-1-111023−2300−3−333000000000000000000000000000000000000000000000000000000000
χ1118-88-8-48-44-84-44-8-484-42-404-24424-2-4-40000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4844-8-4-848-442-4-40-2444-4-242-40000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-4444-444-4-442220-2-2-2-22-2-22200006-66-60000000000-111-100000-33-33000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-4444-444-4-442220-2-2-2-22-2-2220000-66-660000000000-111-1000003-33-3000000000000000000000000000000000000000000000000000000000
χ1158-8-88-48-44-8-44484-8-4-42-404-24-4-2-42440000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-444-444-444-42220-2-2-22-222-2-20043−43−232323−230000000000-11-11000−23233−3−33000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-444-444-444-42220-2-2-22-222-2-200−434323−23−23230000000000-11-1100023−23−333−3000000000000000000000000000000000000000000000000000000000

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