Finite Group Databasebeta

← Group #11819113

Character table — Group #11819113

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order12222222336666666666666634444666666612121212444441212121212121212121212121212121212121212121222444444441212121212121212444444661212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1
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
χ5111111111111111111111111111-1-11111111-1-1-1-11111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1
χ6111111111111111111111111111-1-11111111-1-1-1-11111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-111-1-1111
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-1-1-11111-1-111-1-1-1-1111
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-111-1-111-1-11111-1-1-1
χ91111111111111111111111111-1-111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1
χ101111111111111111111111111-1-111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-11
χ111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-111-1-11
χ121111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-11
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-11111-1
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-111-1-1-1-1111111-1
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-11
χ17222222222-122-1-12-12-122-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12200220000-1-1-1-1-1-1-1-1000020-1-1-1-10000000000000
χ18222222222-122-1-12-12-122-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20000111111110000-2011110000000000000
χ19222222222-122-1-12-12-122-1-1-12-122-2-2-1-1-1-1-1-1-111112222-222-1-1-2-2-2-211-1-1-1-1111111112200-2-20000-1-1-1-111110000-20-1-1110000000000000
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χ23222222222-122-1-12-12-122-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-211-2-222-1-111111111-1-1-1-1-2-200-2-20000-1-1-1-1111100002011-1-10000000000000
χ24222222222-122-1-12-12-122-1-1-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-211-2-222-1-111111111-1-1-1-122002200001111-1-1-1-10000-20-1-1110000000000000
χ2522222222-12-1-122-12-12-1-1222-1-12222-1-1-1-1-1-1-1222200002-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10022002222000000000000020000-1-1-1-1-1-1-1-100000
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χ2722222222-12-1-122-12-12-1-1222-1-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-1-1221111-2-2-1-1-1-111111111002200-2-2220000000000000-20000-1-111-1-11100000
χ2822222222-12-1-122-12-12-1-1222-1-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-1-1221111-2-2-1-1-1-11111111100-2-20022-2-200000000000002000011-1-111-1-100000
χ2922222222-12-1-122-12-12-1-1222-1-1-2-222-1-1-1-1-1-1-122220000-211-2-2-1-111-2-21111-1-1-1-1111100220022-2-20000000000000-20000-1-1-1-1111100000
χ3022222222-12-1-122-12-12-1-1222-1-1-2-222-1-1-1-1-1-1-122220000-211-2-2-1-111-2-21111-1-1-1-1111100-2-200-2-2220000000000000200001111-1-1-1-100000
χ3122222222-12-1-122-12-12-1-1222-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-211-1-12211111111-1-1-1-1002200-2-2-2-2000000000000020000-1-11111-1-100000
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χ362222-2-2-2-222222-222-2-2-2-22-2-2-22-220022-2-2-22-20000-2-2220-22-22000000-2-222000000002-200000000-2-22200000000002-2000000000000000
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χ392222-2-2-2-22-122-112-1-21-2-2-111-2-12-200-1-1111-11−3−33322-2-202-2-110000−33-1-111−3−333−3−3332-200000000-1-111−3−333000000-11−330000000000000
χ402222-2-2-2-22-122-112-1-21-2-2-111-2-12-200-1-1111-11−3−333-2-22202-2-110000−33-1-111−3−333−3−333-220000000011-1-133−3−30000001-13−30000000000000
χ412222-2-2-2-22-122-112-1-21-2-2-111-2-1-2200-1-1111-1133−3−322-2-20-221-10000−3311-1-133−3−3−3−333-2200000000-1-11133−3−30000001-1−330000000000000
χ422222-2-2-2-22-122-112-1-21-2-2-111-2-1-2200-1-1111-1133−3−3-2-2220-221-10000−3311-1-133−3−3−3−3332-20000000011-1-1−3−333000000-113−30000000000000
χ432222-2-2-2-22-122-112-1-21-2-2-111-2-1-2200-1-1111-11−3−33322-2-20-221-100003−311-1-1−3−33333−3−3-2200000000-1-111−3−3330000001-13−30000000000000
χ442222-2-2-2-22-122-112-1-21-2-2-111-2-1-2200-1-1111-11−3−333-2-2220-221-100003−311-1-1−3−33333−3−32-20000000011-1-133−3−3000000-11−330000000000000
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χ1014-4-44-44-444-2-4422-424-2-44-22-2-4-200002-222-22-2000000000000000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000
χ1024-4-44-44-444-2-4422-424-2-44-22-2-4-200002-222-22-20000000000000000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000
χ1034-4-44-44-44-242-2-4-42-4-242-24-442-200002-222-22-20000000000000000000000000000000000000000000000000000000000000000023−2300000
χ1044-4-44-44-44-242-2-4-42-4-242-24-442-200002-222-22-200000000000000000000000000000000000000000000000000000000000000000−232300000
χ10588-8-88-8-88-4-4-44-4-444-4-4-444444200002-22-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-888-8-4-4-44-4444444-44-4-4-4200002-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-888-88-8-4-44-44-44444-44-4-44-420000-2222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-88-88-4-44-44444-4-44-4-44-4420000-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000

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