Finite Group Databasebeta

← Group #11868521

Character table — Group #11868521

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222444444444444444444444444444444121212121818242424242424242424243636361111222222222244444444444444444444444444444412121212181824242424242424242424363636
order1222334466666636668812121212121212122424242424242424242424242424242444444444121212121212121248822226644666666666688121212121212121224242424242424242424242424242424444444441212121212121212488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11-11111-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-11-11111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-1-11-1-1-1-11111-1-1-111111111111111111111111111111111111111111111-1-111-1-1-11-1-1-1-11111-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11-1-1
χ6111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-111-1-111-111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-111-1-111-111
χ7111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-111-1-1-111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-111-1-1-111
χ8111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1
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χ10222222-2-2222222222200-2-2-2-2-2-2-2-200000000000000000000-2-20000000000200222222-2-2222222222200-2-2-2-2-2-2-2-200000000000000000000-2-20000000000200
χ1122222-1222-12-1-12-1-1-1-1222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122000020-1-1-1-1000000022222-1222-12-1-12-1-1-1-1222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122000020-1-1-1-10000000
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χ1422222-1222-12-1-12-1-1-1-1-2-22-1-1-12-1-1-1-2-2-2-2111111111111-2-2000020-1-111000000022222-1222-12-1-12-1-1-1-1-2-22-1-1-12-1-1-1-2-2-2-2111111111111-2-2000020-1-1110000000
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χ162222-1222-12-122-1-1-1-1-122-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-2000-2000011110002222-1222-12-122-1-1-1-1-122-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-2000-200001111000
χ172222-1222-12-122-1-1-1-1-1-2-2-12-1-1-12-1-11111-2-2-2-2111111110022000-20000-1-1110002222-1222-12-122-1-1-1-1-1-2-2-12-1-1-12-1-11111-2-2-2-2111111110022000-20000-1-111000
χ182222-1222-12-122-1-1-1-1-1-2-2-12-1-1-12-1-11111-2-2-2-21111111100-2-20002000011-1-10002222-1222-12-122-1-1-1-1-1-2-2-12-1-1-12-1-11111-2-2-2-21111111100-2-20002000011-1-1000
χ1922-2-2222-2-2-22-22-22-2-22002222-2-2-2-200000000000000002-2000000002-2000000022-2-2222-2-2-22-22-22-2-22002222-2-2-2-200000000000000002-2000000002-20000000
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χ2122-2-222-22-2-22-22-22-2-2200-2-2-2-222220000000000000000002i−2i000000002i−2i0000022-2-222-22-2-22-22-22-2-2200-2-2-2-222220000000000000000002i−2i000000002i−2i00000
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χ2522-2-22-12-2-2121-1-2-111-1002-1-1-1-21110000−3−333−3−3−3−333332-2000000−33-11000000022-2-22-12-2-2121-1-2-111-1002-1-1-1-21110000−3−333−3−3−3−333332-2000000−33-110000000
χ2622-2-22-12-2-2121-1-2-111-1002-1-1-1-21110000−3−333−3−3−3−33333-220000003−31-1000000022-2-22-12-2-2121-1-2-111-1002-1-1-1-21110000−3−333−3−3−3−33333-220000003−31-10000000
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χ2822-2-2-12-221-2-1-221-111-1001-211-12-1-1−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i300−2i2i00000000i−i−3300022-2-2-12-221-2-1-221-111-1001-211-12-1-1−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i300−2i2i00000000i−i−33000
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χ312-2-222200-22-2-2-2222-2-22−2000000002−22−22−22−22−22−22−22−200002i−2i00000000000−i2i22-2-222200-22-2-2-2222-2-22−2000000002−22−22−22−22−22−22−22−200002i−2i00000000000−i2i2
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χ332-2-222200-22-2-2-2222-2-2−2200000000−22−22−22−22−22−22−22−2200002i−2i00000000000i2−i22-2-222200-22-2-2-2222-2-2−2200000000−22−22−22−22−22−22−22−2200002i−2i00000000000i2−i2
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χ3544444-2-4-44-24-2-24-2-2-2-200-4222-42220000000000000000000000000000000000044444-2-4-44-24-2-24-2-2-2-200-4222-422200000000000000000000000000000000000
χ364444-24-4-4-24-244-2-2-2-2-2002-4222-422000000000000000000000000000000000004444-24-4-4-24-244-2-2-2-2-2002-4222-42200000000000000000000000000000000000
χ374444-2-244-2-2-2-2-2-2111144-2-211-2-211-2-2-2-2-2-2-2-21111111100000000000000000004444-2-244-2-2-2-2-2-2111144-2-211-2-211-2-2-2-2-2-2-2-2111111110000000000000000000
χ384444-2-244-2-2-2-2-2-21111-4-4-2-211-2-21122222222-1-1-1-1-1-1-1-100000000000000000004444-2-244-2-2-2-2-2-21111-4-4-2-211-2-21122222222-1-1-1-1-1-1-1-10000000000000000000
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χ4244-4-4-244-42-4-2-442-222-200-24-2-22-4220000000000000000000000000000000000044-4-4-244-42-4-2-442-222-200-24-2-22-42200000000000000000000000000000000000
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χ474-44-444004-4-44-4-44-44-40000000000000000000000000000000000000000000004-44-444004-4-44-4-44-44-4000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.