Finite Group Databasebeta

← Group #13168616

Character table — Group #13168616

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444466888888888888888812121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363654547272108
order1222333666666666333466666666612124436661212121212121212121212124444412121212121212122244444412121212121212121212121212121212121212122466121212121212446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-11-11111111-1-1-1-1-1-111-1-11-111-11-111111-1-11111-1-1-11-1-1-1-1-1-111-1-1-11-1
χ31111111111111111111111111111111111111111111111111-11-111-1-111111111-1-1-1-1-1-111-1-11-11111-1-11111-1-1111-111-1-1-1-1-1-1-1-11-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-11-1-11111-1-1-1-111-1-1111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-11
χ51111111111111111111111111111111-1-111111111111111111111-111-1-1-1-111-1-111-1-111-1111111-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-111111111111111111-11-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-11-1-1-1-111-1-1-1-111-1-11-111-1-1-1-1-1-1111-11
χ71111111111111111111111111111111-1-11111111111111111-11-11-1-1-1-1-1-1-111-1-1-1-111-1-1-11-1-11-11-1-1-1-1-111-1-1-1-111-11-1-1-1-1-1-11111-111
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
χ91111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-1-11111-11-1-1-111-1-1-1111111-1-1-1-11-1-1-111-1-111111-1-1
χ101111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-111111111111111-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-11
χ111111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1111-1-11-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1111
χ121111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1111111-111111-1-1-1-111-11-1
χ131111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-111-1-1-1-11111-1-1-1111111111-1-1-1-1-1-1-111111-1-1-1-1-1-1-111
χ141111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-111-1-1-1-11-1-1-111-111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-111-1-111-1-1-1-111-1-1111111-1-1-1
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-111111-1111-1-1111-1-1-1-1-1-111111-1-1-111-1-111-1-11-11
χ17222222-12-1-122-12222-1-122-1-12-1-12-1-12222-1-1-1-12-122-1-1-1-1-1-1-1-1020220022-1-1-1-122000000-1-1002022-1-100-1-1-1-100-1-120-1-100000000-100
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χ19222222-12-1-122-12222-1-122-1-12-1-12-1-122-2-2-1-1-1-12-122-1-1-1-1-1-1-1-10202-200-2-211-1-1-2-20000001-100202-21100-1-11100-1-1-201100000000100
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χ2522222-122222-12-1-12-12-12-12-1-12-1-12-1-1-100-1-1-1-122-1-122-1-1-1-1-1-1222202200002200220022022-1-1-1-1000-1-1-1-100-1-1-1-10000-1-1-1-10000000
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χ2822222-122222-12-1-12-12-12-12-1-12-1-12-1-1-100-1-1-1-122-1-122-1-1-1-1-1-1-2-2-2-20-2-20000-2-2002200220-2-2111100011110011110000-1-1-1-10000000
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χ3022222-122222-12-1-12-12-1-2-12-1-12-1-12-11100-1-1-1-1-2-211-2-21111112-2-22022000022002200-2-20-2-21-1-11000-1-1110011-1-1000011-1-10000000
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χ362222-122-122-12222-1-1-122-1-12-1-12-1-1222-2-2-1-1-1-1-12-1-1-1-122-1-1-1-1-20-20-21111-2-20000002200-201-20-20111110011110002000000-1-1000-10
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χ412-22-2222-2-2-2222-2-2-22220-2-2-2-2-2-222200002-2-2200000000000000000000000002-22i−2i2i−2i0000000000000000000000002-2002i−2i2i−2i00000
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χ1038-8-88-4-4848-844-8-44-42-4-4024-4-2-44-244000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-44-44444-44-422202-22-22-2-2-2-20000-1-11100006i−6i00−3i3i−3i3i00000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-44-44444-44-422202-22-22-2-2-2-20000-1-1110000−6i6i003i−3i3i−3i00000000000000000000000000000000000000000000000000000000

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