Finite Group Databasebeta

← Group #11866696

Character table — Group #11866696

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222224444444444444444444444444444181818181818181824242424242424242424242411112222222222222244444444444444444444444444441818181818181818242424242424242424242424
order122233446666668888366612121212121212122424242424242424242424242424242422448888244466121212121212222266446666668888666612121212121212122424242424242424242424242424242422448888244466121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1
χ511111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1
χ611111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ711111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-111-1-111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-111-1-1
χ811111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-11111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-111
χ9222222-2-222222200002222-2-2-2-2-2-2-2-2000000000000000022-2-20000000000000000222222-2-222222200002222-2-2-2-2-2-2-2-2000000000000000022-2-20000000000000000
χ10222222-2-222222200002222-2-2-2-2-2-2-2-20000000000000000-2-2220000000000000000222222-2-222222200002222-2-2-2-2-2-2-2-20000000000000000-2-2220000000000000000
χ1122222-122-1-1222-12222-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000002002-1-10000-1-122222-122-1-1222-12222-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000002002-1-10000-1-1
χ1222222-122-1-1222-12222-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-200-21100001122222-122-1-1222-12222-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-200-211000011
χ1322222-122-1-1222-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2-2-211111111111100000000200-2-1-100001122222-122-1-1222-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2-2-211111111111100000000200-2-1-1000011
χ1422222-122-1-1222-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2-2-211111111111100000000-2002110000-1-122222-122-1-1222-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2-2-211111111111100000000-2002110000-1-1
χ152222-122222-1-1-122222-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000022000-1-1-1-1002222-122222-1-1-122222-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000022000-1-1-1-100
χ162222-122222-1-1-122222-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000-2-20001111002222-122222-1-1-122222-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000-2-2000111100
χ172222-122222-1-1-12-2-2-2-2-1-1-1-1-12-1-1-12-1-11111-2-2-2-2111111110000000002-2000-1-111002222-122222-1-1-12-2-2-2-2-1-1-1-1-12-1-1-12-1-11111-2-2-2-2111111110000000002-2000-1-11100
χ182222-122222-1-1-12-2-2-2-2-1-1-1-1-12-1-1-12-1-11111-2-2-2-211111111000000000-2200011-1-1002222-122222-1-1-12-2-2-2-2-1-1-1-1-12-1-1-12-1-11111-2-2-2-211111111000000000-2200011-1-100
χ1922-2-222002-2-22-2-2−i2−i2i2i222-2-200000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2002i−2i22−2−200000000000022-2-222002-2-22-2-2−i2−i2i2i222-2-200000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2002i−2i22−2−2000000000000
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χ302-2-2222-22-2-22-2-22-222-22-2-22-2-2-2-22222-222-2-222-2-2-22222-2-2000000000000000000002-2-2222-22-2-22-2-22-222-22-2-22-2-2-2-22222-222-2-222-2-2-22222-2-200000000000000000000
χ312-2-222-1-22112-2-2-12-2-22-111-1-21112-1-1-12-2-22-111-1-1-11111-1-1000000000000−i3i30000−i3i32-2-222-1-22112-2-2-12-2-22-111-1-21112-1-1-12-2-22-111-1-1-11111-1-1000000000000−i3i30000−i3i3
χ322-2-222-1-22112-2-2-12-2-22-111-1-21112-1-1-12-2-22-111-1-1-11111-1-1000000000000i3−i30000i3−i32-2-222-1-22112-2-2-12-2-22-111-1-21112-1-1-12-2-22-111-1-1-11111-1-1000000000000i3−i30000i3−i3
χ332-2-222-1-22112-2-2-1-222-2-111-1-21112-1-1-1-222-21-1-1111-1-1-1-111000000000000−i3i30000i3−i32-2-222-1-22112-2-2-1-222-2-111-1-21112-1-1-1-222-21-1-1111-1-1-1-111000000000000−i3i30000i3−i3
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χ352-2-22-12-22-2-2-11122-2-22-111-11-211-12-1-1-111-12-2-22-1-11111-1-1000000000000003−33−3002-2-22-12-22-2-2-11122-2-22-111-11-211-12-1-1-111-12-2-22-1-11111-1-1000000000000003−33−300
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χ414444-2-244-2-2-2-2-2-244441111-2-211-2-211-2-2-2-2-2-2-2-211111111000000000000000000004444-2-244-2-2-2-2-2-244441111-2-211-2-211-2-2-2-2-2-2-2-21111111100000000000000000000
χ424444-2-244-2-2-2-2-2-2-4-4-4-41111-2-211-2-21122222222-1-1-1-1-1-1-1-1000000000000000000004444-2-244-2-2-2-2-2-2-4-4-4-41111-2-211-2-21122222222-1-1-1-1-1-1-1-100000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.