Finite Group Databasebeta

← Group #13170477

Character table — Group #13170477

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222222444444444444444444888888888888881212121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363636363636108108
order1222333446666666663336666666661212121212123666121212121212121212124444441212121212121212224412121212121212121212121212121212121212121212121222446666661212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111111-11-1-1-111-1-111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-11111
χ511111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-11-11-1-1-1-111-1-111-1-1
χ611111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-111-1-111-1-111
χ711111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11-11-111-1-111-1-111-1-1-1-1-1-11-11-111-1-111-1-111-1-111-1-11-1-111111-1-1-1-1111-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11-1-1111-1-111-1-111-1-1-1-1-1-11-11-1-1-11111-1-111-1-1-1-111-111-111-1-11111-1-1-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-111-1-1-1-111-1-11111111-1-1111-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-1-1-111-1-11111111-1-11-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-111111-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11111-1-1-1-1111111-111-111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1111111-111-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-111-1-1-111-1-11111-1-1-1-1-1-1-11-1111-1-1-1-111-1-11111-1-1-111-111-1-11111-1-11-1
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χ17222222-1222222-1-1-1222-1-122-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-1222200-1-1-1-1-1-1-1-12222-1-1-1-122220000-1-1-1-1-1-1-1-100000000-1-10000000000
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χ19222222-1222222-1-1-1222-1-122-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-2-222001111-1-1-1-1-2-2-2-21111-2-22200001111-1-1-1-100000000110000000000
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χ2822222-12222-12-12222-1-12-1-1-12-12-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-2-2-20000-2-2-2-2000000000011-21-2100001111111102020000-1-100-1-100
χ2922222-12-2-22-12-12222-1-12-1-1-12-12-12-1-1-2-2-2-211-1-1-1-1-2-211111111002-22-2000022-2-20000000000-112-1-210000-1-111-1-1110-20200001100-1-100
χ3022222-12-2-22-12-12222-1-12-1-1-12-12-12-1-1-2-2-2-211-1-1-1-1-2-211111111002-2-22000022-2-20000000000-11-212-10000-1-11111-1-1020-20000-1-1001100
χ3122222-12-2-22-12-12222-1-12-1-1-12-12-12-1-1-2-2-2-211-1-1-1-1-2-21111111100-222-20000-2-22200000000001-12-1-21000011-1-1-1-111020-20000-1-1001100
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χ9988-8-8-4-4800-444-48-8-8442-4-42-2-44444-4-200000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-400-444-4-444442222-22-2-2-2-22-2000000-1-11100000033−3333−330000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-400-444-4-444442222-22-2-2-2-22-2000000-1-111000000−3333−33330000000000000000000000000000000000000000000000000000000000
χ1028-88-88-4-400-8-4844-44-84-4-424-4424-2-4-240000002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-48-40048-4-84-444-8-42-44-4-2-4-242440000002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-48004-4-44-88-8442-4-4-224-444-44-20000002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-4004-4-444-4444222-22-22-2-22-2-2000000-11-1100000033−33−33330000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-4004-4-444-4444222-22-22-2-22-2-2000000-11-11000000−333333−330000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-48-8444444-4-4-4222-2-2-2-222-2-22-44-44-44-111-12-22-22-2-1-1110000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-4-88444444-4-4-4222-2-2-2-222-2-224-44-44-4-111-1-22-22-2211-1-10000000000000000000000000000000000000000000000000000000000

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