Finite Group Databasebeta

← Group #13156372

Character table — Group #13156372

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222222244444444444444444488888888888888121212121212121212121212181818181818242424242424242424242424242424242424242424363636363636363636363636363636216
order1222333446666666663336666666661212121212123666121212121212121212124444121212121212121244121212124121212121212121212121212121212121212121248888121224242424242424244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-111-1-1-1-1111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-111111111-111-1-1-1-11111-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-111111
χ511111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-11111111-1-111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1
χ611111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11
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
χ92222222-2-2222222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2000000000000222222000000000000000000000-20000-2-2000000000
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χ11222222-122222222-1-1-12-1-12-1-1-12-12-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1022000022-1-1-1-10000-1-1-1-120000-1-1000000000
χ12222222-122222222-1-1-12-1-12-1-1-12-12-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-122-2-2-1-1-1-11111-2-211110-2-200002211110000-1-1-1-1-2000011000000000
χ13222222-122222222-1-1-12-1-12-1-1-12-12-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-2-2221111-1-1-1-1-2-211110220000-2-2-1-1-1-100001111-2000011000000000
χ14222222-122222222-1-1-12-1-12-1-1-12-12-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-21111111122-1-1-1-10-2-20000-2-211110000111120000-1-1000000000
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χ17222222-1-2-2222222-1-1-12-1-12-1-1-12-12-1-1-2-211-2-2-1-1-1-1-2-2111111110000i3i3−i3−i3−i3−i3i3i3-2-21111000000000−i3−i3i3i30000i3i3−i3−i320000-1-1000000000
χ18222222-1-2-2222222-1-1-12-1-12-1-1-12-12-1-1-2-211-2-2-1-1-1-1-2-2111111110000i3i3−i3−i3i3i3−i3−i322-1-1-1-1000000000i3i3−i3−i30000i3i3−i3−i3-2000011000000000
χ1922222-12222-12-1-12222-12-1-122-1-1-1-1-12-1222-12-1-1-1-1-1-1-1-122-1-1-1-10022000022220000002-1-122-1-100-1-1-1-1-1-1-1-1000000022000000-1-1-1-10
χ2022222-12222-12-1-12222-12-1-122-1-1-1-1-12-1222-12-1-1-1-1-1-1-1-122-1-1-1-1002200002222000000-2-1-1-2-21100-1-1-1-111110000000-2-200000011110
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χ3022-2-2222-22-22-2-2-222-2-2222-2-2-2-222-2-22-2-2-22222-2-22-22-22-22-2-22200−2i2i0000−2i2i−2i2i0000000−2i2i000000−2i2i−2i2i000000000000000000000000
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χ3822-2-222-1-22-22-2-2-22-1112-1-1-21112-1-21-1-2-21-122-111-1-221-11-111-1-100−2i2ii3−i3−i3i3i−ii−i0033−3−30−2i2i000000i−ii−i0000i3−i3−i3i300000−33000000000
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χ4022-2-22-12-22-2-1-21122-2-2-12-11-2-21-1-11121-2-22-12-111-11-11-1-2211-1-1002i−2i00002i−2i2i−2i0000000−ii00−3300−ii−ii−3−333000000000000000i3i3−i3−i30
χ4122-2-22-12-22-2-1-21122-2-2-12-11-2-21-1-11121-2-22-12-111-11-11-1-2211-1-100−2i2i0000−2i2i−2i2i0000000i−i003−300i−ii−i33−3−3000000000000000i3i3−i3−i30
χ4222-2-22-12-22-2-1-21122-2-2-12-11-2-21-1-11121-2-22-12-111-11-11-1-2211-1-100−2i2i0000−2i2i−2i2i0000000i−i00−3300i−ii−i−3−333000000000000000−i3−i3i3i30
χ4322-2-2-1222-2121-2-2-12-2-2-1-12111-2-121-2-12-12-2-21-111-1-112-2-11-1-1112-2002-22-200000000000003−300-1100003−33−3-11-11000000033−3−300000
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χ988-88-8-4-480044-44-44-88-82-4-4-24-4-4-242440000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4-40044-44-444-44222-2-222-2-22-2-2000000-11-1100000033−3333−330000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4-40044-44-444-44222-2-222-2-22-2-2000000-11-11000000−3333−33330000000000000000000000000000000000000000000000000000000
χ1018-8-888-4-40084-8-44-844-4-4-42-4-44-24-242400000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-48-400-4-848-8444-4-42-4-42-24444-4-200000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-4800-444-444-8-882-4-42-444-24-2-4400000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-400-444-44444-422222-2-2-2-2-22-2000000-1-11100000033−33−33330000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-400-444-44444-422222-2-2-2-2-22-2000000-1-111000000−333333−330000000000000000000000000000000000000000000000000000000

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