Finite Group Databasebeta

← Group #13156370

Character table — Group #13156370

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
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order1222333446666666663336666666661212121212123666121212121212121212124444121212121212121244121212124121212121212121212121212121212121212121248888121224242424242424244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-11111-1-11111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-111111111-111-1-1-1-11111-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-111111
χ511111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1111-1-1111111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1
χ611111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1
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χ13222222-12222222-1-12-12-1-12-1-1-12-12-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-2-2221111-1-1-1-1-2-21111000-2-22200-1-1-1-100001111-2000011000000000
χ14222222-12222222-1-12-12-1-12-1-1-12-12-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-21111111122-1-1-1-1000-2-2-2-20011110000111120000-1-1000000000
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χ17222222-1-2-222222-1-12-12-1-12-1-1-12-12-1-1-2-211-2-2-1-1-1-1-2-2111111110000i3i3−i3−i3−i3−i3i3i3-2-21111000000000−i3−i3i3i30000i3i3−i3−i320000-1-1000000000
χ18222222-1-2-222222-1-12-12-1-12-1-1-12-12-1-1-2-211-2-2-1-1-1-1-2-2111111110000i3i3−i3−i3i3i3−i3−i322-1-1-1-1000000000i3i3−i3−i30000i3i3−i3−i3-2000011000000000
χ1922222-12222-12-1-12222-12-1-12-1-1-12-12-12-1222-1-1-1-1-1-1-122-1-1-1-1-1-12200222200000000002-1-1-1-100220000-1-1-1-1-1-1-1-10220000-1-1-1-100000
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χ4222-2-22-122-2-2121-12-2-2-2-12-11-211-121-2-12-12-2-21-111-1-112-2-11-1-111-2200-22-2200000000000−331-100000000−3−3331-11-1000000033−3−300000
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χ4522-2-2-122-221-2-1-222-21-2-1-1211-2-2-1-11121-2-22-12-111-11-11-1-2211-1-100−2i2i0000−2i2i−2i2i00000000000i−i3−3i−ii−i3−33−3000000000000000i3i3−i3−i30
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χ988-88-8-4-4800444-44-8-8-482-4-4-24-44-242-4400000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4-400444-4444-4-4222-2-22-2-2-222-2000000-1-11100000033−3333−330000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4-400444-4444-4-4222-2-22-2-2-222-2000000-1-111000000−3333−33330000000000000000000000000000000000000000000000000000000
χ1018-8-888-4-4008-4-8444-4-84-4-42-4-4-224444-20000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-48-400-484-8-84-444-42-4-424-44-24-240000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-4800-4-4444-884-82-4-42-44-4-24-2440000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-400-4-44444-44422222-22-2-2-2-2-2000000-11-1100000033−33−33330000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-400-4-44444-44422222-22-2-2-2-2-2000000-11-11000000−333333−330000000000000000000000000000000000000000000000000000000

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