Finite Group Databasebeta

← Group #13168531

Character table — Group #13168531

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444466888888888888888812121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363654547272108
order122233366666666633346666666661212443666121212121212121212121212224446612121212121244444444666666612121212121212121212121212241212121212121212446122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1111111-1-111-1-1-1-1-1-111111111-1-11-11111-1-1-1-11-1-1-1-1-1-1-111-1-11-1-1
χ31111111111111111111111111111111111111111111111111-1-1111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-11111111111111-1111-1-1-1-1-1-1-1-1-11-1
χ41111111111111111111111111111111111111111111111111-1-11-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-11-1-11-11111-1-1-1-1-1-1-1-11111-1-111-1-11
χ51111111111111111111111111111111-1-1111111111111111111-11111-1-1-1-111-1-111-1-1111111111-111-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-111
χ71111111111111111111111111111111-1-11111111111111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-111111-1-1-1-1-1-1-111111-11
χ81111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1
χ91111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-111111111111111-1-11-1-111-1-1-11-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-11
χ101111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111-1-111-1-1-1-1111-1-111-1-1-1-11-1111-1-1-1-111-11-1-1-1-1111111-11-1
χ111111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1111111-1-1-1-11111-111-1-111-11-1-1-111-1-111-1-11-111-1-111-1-1111-1-1
χ121111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-111-1-1-1-1-111-1-111-1-11-1111-1-1-1-11111-1-111-1-1-1-1-1-1111
χ131111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-111-1-1-1-111-1-111-1-1-1-11-1-111-1-111-11-1-1-11111-1-111-1-111-1-1-1-11111-1
χ141111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1111-1-1-1-1-1-1-1-1-1-111111-1-111-1-11-1111-1-111-1-1111-111-1-111-1-1-1-11-11
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111-1-1-1-111-111-1-11111-11-1-1-11111-1-1-11-1-1-1-11111-1-1-111
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1111111-1-1-111-1-1111-1111-1-111-1-111-1-11111-1-11111-1-1-1
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χ24222222-1-12-12222-122-1-1-222-1-1-1-1-1-12-2-2-2-2-1-1-1-11-21111-2-21111-2220011-2-2110022000000-22-111-1-1-1002011-1-10000-20000000-1-100100
χ2522222-12222-12-1-122-12-12-1-12-1-1-122-1-1-100-1-1-1-122-1-122-1-1-1-1-1-1220222200002200220022-1-12-1-1-1-10-1-1020000-1-1-1-10000-1-1-1-10000000
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χ2822222-12222-12-1-122-12-12-1-12-1-1-122-1-1-100-1-1-1-122-1-122-1-1-1-1-1-1-2-20-2-2-2-20000-2-20022002211-211110110-2000011110000-1-1-1-10000000
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χ362222-1222-122-1222-1-1-122-1-1-1222-1-1-122-2-2-1-1-1-12-122-1-1-1-1-1-1-1-100-2-2-20011-2-211000022000000000-2-2-2111111111102-1-1000000000-10
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χ1018-8-888-4-4-4-84484-44-8-4-4204-4-4-22-244400002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-48-4-444-8-4-8844-42-404-424-44-2-2400002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-4884-84-44-4-842-4-40-22-44-4444-200002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4-4444-44-4442220-222-22-2-2-2-20000-11-110000000033−33−333300000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-4444-44-4442220-222-22-2-2-2-20000-11-1100000000−333333−3300000000000000000000000000000000000000000000000000000000

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