Finite Group Databasebeta

← Group #13156304

Character table — Group #13156304

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222222244444444444444444488888888888888121212121212121212121212181818181818242424242424242424242424242424242424242424363636363636363636363636363636216
order122233344666666666333666666666121212121212366612121212121212121212224466661212121244121212124666666121212121212121212121212121248888121224242424242424244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-111111111-1-1-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-11111-111-1-1-1-11111-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ511111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-111111111111111-1-1-111-1-1-1-1-1-11111-1
χ611111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-11
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-11
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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χ11222222-122222-1222-1-12-1-12-1-1-12-1-12-122-1-122-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1022-1-1-1-1220000-1-1-1-1000020000-1-1000000000
χ12222222-122222-1222-1-12-1-12-1-1-12-1-12-122-1-122-1-1-1-122-1-1-1-1-1-1-1-122-2-2-1-1-1-11111-2-21111022-1-1-1-1-2-2000011110000-2000011000000000
χ13222222-122222-1222-1-12-1-12-1-1-12-1-12-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-2-2221111-1-1-1-1-2-211110-2-21111220000-1-1-1-10000-2000011000000000
χ14222222-122222-1222-1-12-1-12-1-1-12-1-12-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-21111111122-1-1-1-10-2-21111-2-200001111000020000-1-1000000000
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χ17222222-1-2-2222-1222-1-12-1-12-1-1-12-1-12-1-2-211-2-2-1-1-1-1-2-2111111110000i3i3−i3−i3−i3−i3i3i3-2-21111000i3i3−i3−i3000000−i3−i3i3i3000020000-1-1000000000
χ18222222-1-2-2222-1222-1-12-1-12-1-1-12-1-12-1-2-211-2-2-1-1-1-1-2-2111111110000i3i3−i3−i3i3i3−i3−i322-1-1-1-1000i3i3−i3−i3000000i3i3−i3−i30000-2000011000000000
χ1922222-1222-12-1222-122-12-1-12-1-1-12-1-122-1222-1-1-1-1-1-1-122-1-1-1-1-1-12200222200000000002-1-1-1-1-1-10022-1-10000-1-1-1-10220000-1-1-1-100000
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χ4122-2-22-122-212-12-2-21-2-2-12-11-211-12-11-22-12-2-21-111-1-112-2-11-1-111-2200-22-22000000000001-11-11-100003−3000033−3−30000000−3−33300000
χ4222-2-22-122-212-12-2-21-2-2-12-11-211-12-11-22-12-2-21-111-1-112-2-11-1-111-2200-22-22000000000001-11-11-10000−330000−3−333000000033−3−300000
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χ4422-2-2-122-22-2-12211-2-2-2-1-1211-2-2-1-12111-2-22-12-111-11-11-1-2211-1-1002i−2i00002i−2i2i−2i0000000000000−ii−3300−ii−ii−33−3300000000000i3i3−i3−i30
χ4522-2-2-122-22-2-12211-2-2-2-1-1211-2-2-1-12111-2-22-12-111-11-11-1-2211-1-100−2i2i0000−2i2i−2i2i0000000000000i−i3−300i−ii−i3−33−300000000000i3i3−i3−i30
χ4622-2-2-122-22-2-12211-2-2-2-1-1211-2-2-1-12111-2-22-12-111-11-11-1-2211-1-100−2i2i0000−2i2i−2i2i0000000000000i−i−3300i−ii−i−33−3300000000000−i3−i3i3i30
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χ998-88-8-4-4-400-4444-4444-42222-22-2-2-2-2-22000000-1-11100000033−3333−330000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4-400-4444-4444-42222-22-2-2-2-2-22000000-1-111000000−3333−33330000000000000000000000000000000000000000000000000000000
χ1018-8-888-4-4004-844-88-4-44-4-424-4-2244-2-440000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-48-400-84-844-48-44-42-4424-44-24-4-20000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-4800444-84-4-48-82-4-4-2-44-4-244240000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-40044444-4-4-44222-22-22-2-2-22-2000000-11-1100000033−33−33330000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-40044444-4-4-44222-22-22-2-2-22-2000000-11-11000000−333333−330000000000000000000000000000000000000000000000000000000

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