Finite Group Databasebeta

← Group #11819110

Character table — Group #11819110

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order12222222336666666666666634444666666612121212444441212121212121212121212121212121212121212121222444444441212121212121212444444661212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11111-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111111111-1-11111111-1-1-1-11111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1
χ6111111111111111111111111111-1-11111111-1-1-1-11111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-11
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-1-1-1111111-1-1-1-111-1-11
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-111-1
χ91111111111111111111111111-1-111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1
χ101111111111111111111111111-1-111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1111
χ111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-11111-1-1-1-1111
χ121111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-11
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1111111-1-11111-1
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1111111-1
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-11
χ17222222222-122-1-122-1-1-12-122-1-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-12200220000-1-1-1-1-1-1-1-1000020-1-10000-1-1000000000
χ18222222222-122-1-122-1-1-12-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20000111111110000-2011000011000000000
χ19222222222-122-1-122-1-1-12-122-1-122-2-2-1-1-1-1-1-1-111112222-222-1-1-2-211-2-2-1-1-1-1111111112200-2-20000-1-1-1-111110000-20-1-1000011000000000
χ20222222222-122-1-122-1-1-12-122-1-122-2-2-1-1-1-1-1-1-11111-2-2-2-2-222-1-1-2-211-2-2-1-1-1-111111111-2-2002200001111-1-1-1-1000020110000-1-1000000000
χ21222222222-122-1-122-1-1-12-122-1-1-2-222-1-1-1-1-1-1-1-1-1-1-12222-2-2-2112211-2-21111-1-1-1-11111-2-200220000-1-1-1-1-1-1-1-10000-2011000011000000000
χ22222222222-122-1-122-1-1-12-122-1-1-2-222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2112211-2-21111-1-1-1-111112200-2-2000011111111000020-1-10000-1-1000000000
χ23222222222-122-1-122-1-1-12-122-1-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-211-2-2-1-12211111111-1-1-1-1-2-200-2-20000-1-1-1-11111000020110000-1-1000000000
χ24222222222-122-1-122-1-1-12-122-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-211-2-2-1-12211111111-1-1-1-122002200001111-1-1-1-10000-20-1-1000011000000000
χ2522222222-12-1-122-1-1222-12-1-12-12222-1-1-1-1-1-1-1222200002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100220022220000000000000200-1-1-1-100-1-1-1-100000
χ2622222222-12-1-122-1-1222-12-1-12-12222-1-1-1-1-1-1-1222200002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2-2-20000000000000-200111100111100000
χ2722222222-12-1-122-1-1222-12-1-12-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-1-12211-2-211-1-1-1-111111111002200-2-2220000000000000-200-1-1-1-100111100000
χ2822222222-12-1-122-1-1222-12-1-12-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-1-12211-2-211-1-1-1-11111111100-2-20022-2-20000000000000200111100-1-1-1-100000
χ2922222222-12-1-122-1-1222-12-1-12-1-2-222-1-1-1-1-1-1-122220000-211-2-2-1-1-2-2111111-1-1-1-1111100220022-2-20000000000000-200-1-11100-1-11100000
χ3022222222-12-1-122-1-1222-12-1-12-1-2-222-1-1-1-1-1-1-122220000-211-2-2-1-1-2-2111111-1-1-1-1111100-2-200-2-222000000000000020011-1-10011-1-100000
χ3122222222-12-1-122-1-1222-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-21122-1-111111111-1-1-1-1002200-2-2-2-20000000000000200-1-1110011-1-100000
χ3222222222-12-1-122-1-1222-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-21122-1-111111111-1-1-1-100-2-20022220000000000000-20011-1-100-1-11100000
χ332222-2-2-2-222222-22-22-2-2-22-2-2-222-20022-2-22-2-2000022-2-202-22-200000022-2-2000000002-20000000022-2-200000000002-2000000000000000
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χ352222-2-2-2-222222-22-22-2-2-22-2-2-22-220022-2-22-2-2000022-2-20-22-22000000-2-22200000000-220000000022-2-20000000000-22000000000000000
χ362222-2-2-2-222222-22-22-2-2-22-2-2-22-220022-2-22-2-20000-2-2220-22-22000000-2-222000000002-200000000-2-22200000000002-2000000000000000
χ372222-2-2-2-22-122-112-2-111-2-1-2-21-12-200-1-111-11133−3−322-2-202-2-11003−300-1-11133−3−333−3−32-200000000-1-11133−3−3000000-1100003−3000000000
χ382222-2-2-2-22-122-112-2-111-2-1-2-21-12-200-1-111-11133−3−3-2-22202-2-11003−300-1-11133−3−333−3−3-220000000011-1-1−3−3330000001-10000−33000000000
χ392222-2-2-2-22-122-112-2-111-2-1-2-21-12-200-1-111-111−3−33322-2-202-2-1100−3300-1-111−3−333−3−3332-200000000-1-111−3−333000000-110000−33000000000
χ402222-2-2-2-22-122-112-2-111-2-1-2-21-12-200-1-111-111−3−333-2-22202-2-1100−3300-1-111−3−333−3−333-220000000011-1-133−3−30000001-100003−3000000000
χ412222-2-2-2-22-122-112-2-111-2-1-2-21-1-2200-1-111-11133−3−322-2-20-221-100−330011-1-133−3−3−3−333-2200000000-1-11133−3−30000001-10000−33000000000
χ422222-2-2-2-22-122-112-2-111-2-1-2-21-1-2200-1-111-11133−3−3-2-2220-221-100−330011-1-133−3−3−3−3332-20000000011-1-1−3−333000000-1100003−3000000000
χ432222-2-2-2-22-122-112-2-111-2-1-2-21-1-2200-1-111-111−3−33322-2-20-221-1003−30011-1-1−3−33333−3−3-2200000000-1-111−3−3330000001-100003−3000000000
χ442222-2-2-2-22-122-112-2-111-2-1-2-21-1-2200-1-111-111−3−333-2-2220-221-1003−30011-1-1−3−33333−3−32-20000000011-1-133−3−3000000-110000−33000000000
χ4522-2-22-22-2222-222-2-2-2-2-22-2-222200002-222-2-2-200002i−2i2i−2i00000000000000000000000000000002i−2i2i−2i2i−2i000000000000002i−2i000000002-20
χ4622-2-22-22-2222-222-2-2-2-2-22-2-222200002-222-2-2-200002i−2i2i−2i0000000000000000000000000000000−2i2i2i−2i2i−2i00000000000000−2i2i00000000-220
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χ4822-2-22-22-2222-222-2-2-2-2-22-2-222200002-222-2-2-20000−2i2i−2i2i0000000000000000000000000000000−2i2i−2i2i−2i2i00000000000000−2i2i000000002-20
χ4922-2-2-22-22222-22-2-22-222-2-22-2-2200002-2-2-2-22200002i−2i−2i2i00000000000000000000000002i−2i0000002i−2i−2i2i000022-2-200002i−2i0000000000000
χ5022-2-2-22-22222-22-2-22-222-2-22-2-2200002-2-2-2-22200002i−2i−2i2i0000000000000000000000000−2i2i0000002i−2i−2i2i0000-2-2220000−2i2i0000000000000
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χ994-4-44-444-4-242-2-4-42-2-4-44242-24-200002-2-2222-20000000000000000023−230000000023−23−232300000000000000000000000000000000000000000
χ1004-4-44-444-4-242-2-4-42-2-4-44242-24-200002-2-2222-200000000000000000−232300000000−232323−2300000000000000000000000000000000000000000
χ1014-4-44-444-4-2-22-2222-222-22-22-2-210000-111-1-1-11−2i32i32i3−2i3000000000000023−233i−3i−3i3ii3−i3−i3i3−333−300000000000000000000000000000000000000000
χ1024-4-44-444-4-2-22-2222-222-22-22-2-210000-111-1-1-11−2i32i32i3−2i30000000000000−2323−3i3i3i−3ii3−i3−i3i33−3−3300000000000000000000000000000000000000000
χ1034-4-44-444-4-2-22-2222-222-22-22-2-210000-111-1-1-112i3−2i3−2i32i3000000000000023−23−3i3i3i−3i−i3i3i3−i3−333−300000000000000000000000000000000000000000
χ1044-4-44-444-4-2-22-2222-222-22-22-2-210000-111-1-1-112i3−2i3−2i32i30000000000000−23233i−3i−3i3i−i3i3i3−i33−3−3300000000000000000000000000000000000000000
χ10588-8-88-88-8-4-4-44-4-444444-444-4-4200002-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-4-44-444-44-4-444-444200002-2-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-888-8-8-4-4444-4-4-4-44-4-4444420000-2-2-222-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-8-888-4-44444-44-4-4444-4-4-420000-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000000000

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