Finite Group Databasebeta

← Group #11795339

Character table — Group #11795339

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444424242424242424242424242424242424242424242424242472727272
order122222334444666666666612121212366666666688881212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242444448888121212121212121224242424242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ922222222-2-2-2-22222222222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000002i−2i
χ1022222222-2-2-2-22222222222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000−2i2i
χ112222222-122222222-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-12-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-10000
χ122222222-122222222-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-12-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110000
χ132222222-122222222-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-12-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111000022-2-200000000-1-1-1-111110000
χ142222222-122222222-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-12-1-1-1-2-2-2-2-2-2-2-21111111111111111111111110000-2-222000000001111-1-1-1-10000
χ15222222-122222-1-1-1-122-12-1-12222-122-1-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000000000
χ16222222-122222-1-1-1-122-12-1-12222-122-1-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000
χ17222222-122222-1-1-1-122-12-1-12222-122-1-1-1-1-1-1-1-2-2-2-2-1-1-12-1-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-2111111111111111122-2-20000-1-1-1-11111000000000000
χ18222222-122222-1-1-1-122-12-1-12222-122-1-1-1-1-1-1-1-2-2-2-2-1-1-12-1-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-21111111111111111-2-22200001111-1-1-1-1000000000000
χ192222-2-2222-2-22-2-2-2-2222222-2-2-2-22-2-222-2-2-2-2222-2-22-2-2222-2-2-2-222222222-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000
χ202222-2-2222-2-22-2-2-2-2222222-2-2-2-22-2-222-2-2-2-22-2-2222-2-2222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2222222220000000000000000000000000000
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χ222222-2-222-222-2-2-2-2-222222222222-2-222-2-2-2-220000-222-2-2-22222-2-2-2-200000000000000000000000000000000000000000000000000000000-2200
χ232222-2-22-12-2-22-2-2-2-2-1-12-1221111-111-1-11111-122-2-22-2-2-1-1-111112-1-1-12222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111000000000000000033−3−333−3−30000
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χ262222-2-22-12-2-22-2-2-2-2-1-12-1221111-111-1-11111-1-2-2222-2-2-1-1-111112-1-1-1-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000−3−33333−3−30000
χ272222-2-2-122-2-22111122-12-1-1-2-2-2-2-1-2-2-1-11111-122-2-2-1112-1-11111-12-1-1-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000−i3−i3i3i3−i3−i3i3i3000000000000
χ282222-2-2-122-2-22111122-12-1-1-2-2-2-2-1-2-2-1-11111-122-2-2-1112-1-11111-12-1-1-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000i3i3−i3−i3i3i3−i3−i3000000000000
χ292222-2-2-122-2-22111122-12-1-1-2-2-2-2-1-2-2-1-11111-1-2-222-1112-1-11111-12-1-11111-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3000000000000
χ302222-2-2-122-2-22111122-12-1-1-2-2-2-2-1-2-2-1-11111-1-2-222-1112-1-11111-12-1-11111-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3000000000000
χ3122-2-22-22222-2-222-2-2-2-222-2-222-2-222-2-2-222-2-22000022-222222-2-2-2-2-2-2000000000000000000000000000000000000002-20000000000002-22-20000
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χ3322-2-22-222-2-22222-2-2-2-222-2-2-2-22222-2-2-222-2-220000-2-22-2-2-2-2-2222222000000000000000000000000000000002i−2i0000002i−2i2i−2i0000000000000000
χ3422-2-22-222-2-22222-2-2-2-222-2-2-2-22222-2-2-222-2-220000-2-22-2-2-2-2-222222200000000000000000000000000000000−2i2i000000−2i2i−2i2i0000000000000000
χ3522-2-22-22-122-2-222-2-2112-1-2-2-1-111-1-1111-1-111-1000022-2-1-1-1-1-111-21110000000033−3−333−3−33333−3−3−3−33333−3−3−3−30000002-2000000003−33−3-11-110000
χ3622-2-22-22-122-2-222-2-2112-1-2-2-1-111-1-1111-1-111-1000022-2-1-1-1-1-111-21110000000033−3−333−3−33333−3−3−3−33333−3−3−3−3000000-2200000000−33−331-11-10000
χ3722-2-22-22-122-2-222-2-2112-1-2-2-1-111-1-1111-1-111-1000022-2-1-1-1-1-111-211100000000−3−333−3−333−3−3−3−33333−3−3−3−333330000002-200000000−33−33-11-110000
χ3822-2-22-22-122-2-222-2-2112-1-2-2-1-111-1-1111-1-111-1000022-2-1-1-1-1-111-211100000000−3−333−3−333−3−3−3−33333−3−3−3−33333000000-22000000003−33−31-11-10000
χ3922-2-22-2-12-2-222-1-111-2-2-1211-2-222-12-211-1-111-1000011-1-21111-1-1-12-1-1−i3−i3i3i3−i3−i3i3i300000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32i−2i000000−ii−ii3−33−3000000000000
χ4022-2-22-2-12-2-222-1-111-2-2-1211-2-222-12-211-1-111-1000011-1-21111-1-1-12-1-1−i3−i3i3i3−i3−i3i3i300000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−2i2i000000i−ii−i−33−33000000000000
χ4122-2-22-2-12-2-222-1-111-2-2-1211-2-222-12-211-1-111-1000011-1-21111-1-1-12-1-1i3i3−i3−i3i3i3−i3−i300000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i32i−2i000000−ii−ii−33−33000000000000
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χ4522-2-2-2222-22-22-2-222-2-222-2-222-2-22-22-2-2-2-22220000-22-2-2-2-222-2-2222200000000000000000000000000000000002i−2i000000002i−2i−2i2i000000000000
χ4622-2-2-2222-22-22-2-222-2-222-2-222-2-22-22-2-2-2-22220000-22-2-2-2-222-2-222220000000000000000000000000000000000−2i2i00000000−2i2i2i−2i000000000000
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χ4922-2-2-222-12-22-2-2-222112-1-2-211-1-1-11-11111-1-1-100002-22-1-1-111-1-1-211100000000−3−33333−3−3−3−3−3−333333333−3−3−3−300002-20000000000-111-13−3−330000
χ5022-2-2-222-12-22-2-2-222112-1-2-211-1-1-11-11111-1-1-100002-22-1-1-111-1-1-211100000000−3−33333−3−3−3−3−3−333333333−3−3−3−30000-2200000000001-1-11−333−30000
χ5122-2-2-22-12-22-2211-1-1-2-2-121122-2-2-1-221111-1-1-100001-11-211-1-111-12-1-1−i3−i3i3i3i3i3−i3−i300000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3002i−2i00003−3−33−iii−i000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.