Finite Group Databasebeta

← Group #11783872

Character table — Group #11783872

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11244444888888991818181818363636112444448888889918181818183636361124444488888899181818181836363611244444888888991818181818363636
order12433466121212121212442444428844412124121212121212121244444444882246646612121212121244244442884441212412121212121212124444444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-11-1-111111111111111111-1-1-1-11-1-111111111111111111-1-1-1-11-1-111111111111111111-1-1-1-11-1-1
χ311111111111111-1-1-1ii−i−i-1i−i11111111111111-1-1-1ii−i−i-1i−i11111111111111-1-1-1ii−i−i-1i−i11111111111111-1-1-1ii−i−i-1i−i
χ411111111111111-1-1-1−i−iii-1−ii11111111111111-1-1-1−i−iii-1−ii11111111111111-1-1-1−i−iii-1−ii11111111111111-1-1-1−i−iii-1−ii
χ511111-11111-1-1-1-11111111-1-1-111111-11111-1-1-1-11111111-1-1-111111-11111-1-1-1-11111111-1-1-111111-11111-1-1-1-11111111-1-1-1
χ611111-11111-1-1-1-1111-1-1-1-1-11111111-11111-1-1-1-1111-1-1-1-1-11111111-11111-1-1-1-1111-1-1-1-1-11111111-11111-1-1-1-1111-1-1-1-1-111
χ711111-11111-1-1-1-1-1-1-1ii−i−i1−ii11111-11111-1-1-1-1-1-1-1ii−i−i1−ii11111-11111-1-1-1-1-1-1-1ii−i−i1−ii11111-11111-1-1-1-1-1-1-1ii−i−i1−ii
χ811111-11111-1-1-1-1-1-1-1−i−iii1i−i11111-11111-1-1-1-1-1-1-1−i−iii1i−i11111-11111-1-1-1-1-1-1-1−i−iii1i−i11111-11111-1-1-1-1-1-1-1−i−iii1i−i
χ922-222022-2-2000022-2000000022-222022-2-2000022-2000000022-222022-2-2000022-2000000022-222022-2-2000022-20000000
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χ122-20220-2-20000002i−2i0−1−i1+i−1+i1−i0002-20220-2-20000002i−2i0−1−i1+i−1+i1−i0002-20220-2-20000002i−2i0−1−i1+i−1+i1−i0002-20220-2-20000002i−2i0−1−i1+i−1+i1−i000
χ132-20220-2-2000000−2i2i01−i−1+i1+i−1−i0002-20220-2-2000000−2i2i01−i−1+i1+i−1−i0002-20220-2-2000000−2i2i01−i−1+i1+i−1−i0002-20220-2-2000000−2i2i01−i−1+i1+i−1−i000
χ142-20220-2-2000000−2i2i0−1+i1−i−1−i1+i0002-20220-2-2000000−2i2i0−1+i1−i−1−i1+i0002-20220-2-2000000−2i2i0−1+i1−i−1−i1+i0002-20220-2-2000000−2i2i0−1+i1−i−1−i1+i000
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χ17444-214-21-21-2-2110000000000444-214-21-21-2-2110000000000444-214-21-21-2-2110000000000444-214-21-21-2-2110000000000
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χ2244-4-210-212-100-33000000000044-4-210-212-100-33000000000044-4-210-212-100-33000000000044-4-210-212-100-330000000000
χ238-802-40-2400000000000000008-802-40-2400000000000000008-802-40-2400000000000000008-802-40-240000000000000000
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χ3011111-11111-1-1-1-1111-1-1-1-1-111iiiii−iiiii−i−i−i−iiii−i−i−i−i−iii-1-1-1-1-11-1-1-1-11111-1-1-111111-1-1−i−i−i−i−ii−i−i−i−iiiii−i−i−iiiiii−i−i
χ3111111-11111-1-1-1-1-1-1-1ii−i−i1−iiiiiii−iiiii−i−i−i−i−i−i−i-1-111i1-1-1-1-1-1-11-1-1-1-11111111−i−iii-1i−i−i−i−i−i−ii−i−i−i−iiiiiiii11-1-1−i-11
χ3211111-11111-1-1-1-1-1-1-1−i−iii1i−iiiiii−iiiii−i−i−i−i−i−i−i11-1-1i-11-1-1-1-1-11-1-1-1-11111111ii−i−i-1−ii−i−i−i−i−ii−i−i−i−iiiiiiii-1-111−i1-1
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χ5011111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
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χ5311111-11111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-111111111-11111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1111
χ5411111-11111-1-1-1-1111-1-1-1-1-111-1-1-1-1-11-1-1-1-11111-1-1-111111-1-111111-11111-1-1-1-1111-1-1-1-1-111-1-1-1-1-11-1-1-1-11111-1-1-111111-1-1
χ5511111-11111-1-1-1-1-1-1-1ii−i−i1−ii-1-1-1-1-11-1-1-1-11111111−i−iii-1i−i11111-11111-1-1-1-1-1-1-1ii−i−i1−ii-1-1-1-1-11-1-1-1-11111111−i−iii-1i−i
χ5611111-11111-1-1-1-1-1-1-1−i−iii1i−i-1-1-1-1-11-1-1-1-11111111ii−i−i-1−ii11111-11111-1-1-1-1-1-1-1−i−iii1i−i-1-1-1-1-11-1-1-1-11111111ii−i−i-1−ii
χ5722-222022-2-2000022-20000000-2-22-2-20-2-2220000-2-22000000022-222022-2-2000022-20000000-2-22-2-20-2-2220000-2-220000000
χ5822-222022-2-20000-2-220000000-2-22-2-20-2-222000022-2000000022-222022-2-20000-2-220000000-2-22-2-20-2-222000022-20000000
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χ8011111-11111-1-1-1-1-1-1-1−i−iii1i−i−i−i−i−i−ii−i−i−i−iiiiiiii-1-111−i1-1-1-1-1-1-11-1-1-1-11111111ii−i−i-1−iiiiiii−iiiii−i−i−i−i−i−i−i11-1-1i-11
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χ842-20220-2-20000002i−2i0−1−i1+i−1+i1−i000−2i2i0−2i−2i02i2i0000002-20−1+i1−i1+i−1−i000-220-2-2022000000−2i2i01+i−1−i1−i−1+i0002i−2i02i2i0−2i−2i000000-2201−i−1+i−1−i1+i000
χ852-20220-2-2000000−2i2i01−i−1+i1+i−1−i000−2i2i0−2i−2i02i2i000000-220−1−i1+i1−i−1+i000-220-2-20220000002i−2i0−1+i1−i−1−i1+i0002i−2i02i2i0−2i−2i0000002-201+i−1−i−1+i1−i000
χ862-20220-2-2000000−2i2i0−1+i1−i−1−i1+i000−2i2i0−2i−2i02i2i000000-2201+i−1−i−1+i1−i000-220-2-20220000002i−2i01−i−1+i1+i−1−i0002i−2i02i2i0−2i−2i0000002-20−1−i1+i1−i−1+i000
χ874441-241-21-211-2-20000000000−4i−4i−4i−i2i−4i−i2i−i2i−i−i2i2i0000000000-4-4-4-12-4-12-12-1-12200000000004i4i4ii−2i4ii−2ii−2iii−2i−2i0000000000
χ884441-2-41-21-2-1-1220000000000−4i−4i−4i−i2i4i−i2i−i2iii−2i−2i0000000000-4-4-4-124-12-1211-2-200000000004i4i4ii−2i−4ii−2ii−2i−i−i2i2i0000000000
χ89444-214-21-21-2-2110000000000−4i−4i−4i2i−i−4i2i−i2i−i2i2i−i−i0000000000-4-4-42-1-42-12-122-1-100000000004i4i4i−2ii4i−2ii−2ii−2i−2iii0000000000
χ90444-21-4-21-2122-1-10000000000−4i−4i−4i2i−i4i2i−i2i−i−2i−2iii0000000000-4-4-42-142-12-1-2-21100000000004i4i4i−2ii−4i−2ii−2ii2i2i−i−i0000000000
χ9144-41-201-2-123-3000000000000−4i−4i4i−i2i0−i2ii−2i−3i3i000000000000-4-44-120-121-2-330000000000004i4i−4ii−2i0i−2i−i2i3i−3i000000000000
χ9244-41-201-2-12-33000000000000−4i−4i4i−i2i0−i2ii−2i3i−3i000000000000-4-44-120-121-23-30000000000004i4i−4ii−2i0i−2i−i2i−3i3i000000000000
χ9344-4-210-212-1003-30000000000−4i−4i4i2i−i02i−i−2ii00−3i3i0000000000-4-442-102-1-2100-3300000000004i4i−4i−2ii0−2ii2i−i003i−3i0000000000
χ9444-4-210-212-100-330000000000−4i−4i4i2i−i02i−i−2ii003i−3i0000000000-4-442-102-1-21003-300000000004i4i−4i−2ii0−2ii2i−i00−3i3i0000000000
χ958-802-40-240000000000000000−8i8i0−2i4i02i−4i0000000000000000-880-2402-400000000000000008i−8i02i−4i0−2i4i0000000000000000
χ968-80-4204-20000000000000000−8i8i04i−2i0−4i2i0000000000000000-8804-20-4200000000000000008i−8i0−4i2i04i−2i0000000000000000

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