Finite Group Databasebeta

← Group #11791045

Character table — Group #11791045

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444666666666666666688888888888888888888881212121212121212121212121212121218181818181818182424242424242424242424247272
order12222222334444666666666666663666666612121212121212128888888888888888226666666666666666121212122424242424242424242424242424242444444444224466661212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1
χ9111-11-1-1-1111-11-111-1-1-111-1-1-1-111-1111-1-1-1-11111-1-1-11-11111-1-1-1-1iiii−i−i−i−i1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-1i−i11-1-1ii−i−ii−i
χ10111-11-1-1-1111-11-111-1-1-111-1-1-1-111-1111-1-1-1-11111-1-1-11-11111-1-1-1-1iiii−i−i−i−i-11-1-111-1-111-1-1-1-1111111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11−ii-1-111−i−iii−ii
χ11111-11-1-1-1111-11-111-1-1-111-1-1-1-111-1111-1-1-1-11111-1-1-11-11111-1-1-1-1−i−i−i−iiiii1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-1−ii11-1-1−i−iii−ii
χ12111-11-1-1-1111-11-111-1-1-111-1-1-1-111-1111-1-1-1-11111-1-1-11-11111-1-1-1-1−i−i−i−iiiii-11-1-111-1-111-1-1-1-1111111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11i−i-1-111ii−i−ii−i
χ13111-11-1-1-1111-11-111-1-1-111-1-1-1-111-1111-1-1-1-11111-1-1-11-1-1-1-1-11111iiii−i−i−i−i1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-11i−i-1-111ii−i−i−ii
χ14111-11-1-1-1111-11-111-1-1-111-1-1-1-111-1111-1-1-1-11111-1-1-11-1-1-1-1-11111iiii−i−i−i−i-11-1-111-1-111-1-1-1-1111111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-1−ii11-1-1−i−iiii−i
χ15111-11-1-1-1111-11-111-1-1-111-1-1-1-111-1111-1-1-1-11111-1-1-11-1-1-1-1-11111−i−i−i−iiiii1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-11−ii-1-111−i−iiii−i
χ16111-11-1-1-1111-11-111-1-1-111-1-1-1-111-1111-1-1-1-11111-1-1-11-1-1-1-1-11111−i−i−i−iiiii-11-1-111-1-111-1-1-1-1111111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-1i−i11-1-1ii−i−i−ii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000-2-2-2-2000000000000000022-2-222-2-200000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000-2-2-2-20000000000000000-2-222-2-22200000000000000
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χ20222222222-1222222222-1-1-1-1-1-12-12-1-1-1-1-1-1-1-122-12-1-1-122222222200000000-2-2-2-2-2-2111111111111-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2001111000000
χ21222222222-1222222222-1-1-1-1-1-12-12-1-1-1-1-1-1-1-122-12-1-1-12-2-2-2-2-2-2-2-200000000222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2001111000000
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χ2322222222-122222-1-1-1-1-1222222-12-1-1-1-1-1-1-1-1-1-1-12-1222-1000000002222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000000220000-1-1-1-100
χ2422222222-122222-1-1-1-1-1222222-12-1-1-1-1-1-1-1-1-1-1-12-1222-10000000022222222-2-21111-2-2-2-211111111-1-1-1-100000000-1-1-1-1-1-1-1-10000000000-2-20000111100
χ2522222222-122222-1-1-1-1-1222222-12-1-1-1-1-1-1-1-1-1-1-12-1222-100000000-2-2-2-2-2-2-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000111111110000000000-2-20000111100
χ2622222222-122222-1-1-1-1-1222222-12-1-1-1-1-1-1-1-1-1-1-12-1222-100000000-2-2-2-2-2-2-2-2-2-21111-2-2-2-211111111-1-1-1-100000000111111110000000000220000-1-1-1-100
χ27222-22-2-2-222-22-2222-2-2-222-2-2-2-222-2222-2-2-2-22-2-2-2222-220000000000000000000000000000000000-2-22200000000000000002i2i−2i−2i−2i−2i2i2i00000000000000
χ28222-22-2-2-222-22-2222-2-2-222-2-2-2-222-2222-2-2-2-22-2-2-2222-220000000000000000000000000000000000-2-2220000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000
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χ30222-22-2-2-22-12-22-222-2-2-2-1-111112-1-2-1-1-11111-122-1-211-1-22222-2-2-2-200000000-22-2-22211-1-11111-1-1-1-1-1-111-1-1-1-111110000000000000000-220011-1-1000000
χ31222-22-2-2-22-12-22-222-2-2-2-1-111112-1-2-1-1-11111-122-1-211-1-2-2-2-2-22222000000002-222-2-2-1-111-1-1-1-11111-1-1111111-1-1-1-10000000000000000-220011-1-1000000
χ32222-22-2-2-22-12-22-222-2-2-2-1-111112-1-2-1-1-11111-122-1-211-1-2-2-2-2-2222200000000-22-2-22211-1-11111-1-1-1-1-1-1111111-1-1-1-100000000000000002-200-1-111000000
χ33222-22-2-2-2-122-22-2-1-111122-2-2-2-2-121-1-1-11111-1-1-121-2-221000000002i2i2i2i−2i−2i−2i−2i2-2-1-11122-2-2-1-1-1-11111-1-11100000000−i−i−i−iiiii00000000002i−2i0000−i−iii00
χ34222-22-2-2-2-122-22-2-1-111122-2-2-2-2-121-1-1-11111-1-1-121-2-221000000002i2i2i2i−2i−2i−2i−2i-2211-1-1-2-2221111-1-1-1-1-1-11100000000−i−i−i−iiiii0000000000−2i2i0000ii−i−i00
χ35222-22-2-2-2-122-22-2-1-111122-2-2-2-2-121-1-1-11111-1-1-121-2-22100000000−2i−2i−2i−2i2i2i2i2i2-2-1-11122-2-2-1-1-1-11111-1-11100000000iiii−i−i−i−i0000000000−2i2i0000ii−i−i00
χ36222-22-2-2-2-122-22-2-1-111122-2-2-2-2-121-1-1-11111-1-1-121-2-22100000000−2i−2i−2i−2i2i2i2i2i-2211-1-1-2-2221111-1-1-1-1-1-11100000000iiii−i−i−i−i00000000002i−2i0000−i−iii00
χ3722-22-22-2-22200002-222-22-222-2-2-2-2-222-222-2-2-20000000022−2−222−2−2−i2−i2i2i2−i2−i2i2i2000000000000000000000022−2−222−2−2−i2−i2i2i2−i2−i2i2i2002i−2i002i−2i00000000000000
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χ4322-2-2-2-2222200002-2-2-222-2-2-222-2-2222-2-2-222-200000000−2−22222−2−222−2−2−2−2220000000000000000000000−2−22222−2−222−2−2−2−222002-200-2200000000000000
χ4422-2-2-2-2222200002-2-2-222-2-2-222-2-2222-2-2-222-200000000−2−22222−2−2−2−22222−2−20000000000000000000000−2−22222−2−2−2−22222−2−200-22002-200000000000000
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χ682-2-2-2222-222-2-222-2-2-222-2-2-222-222-22-2-2-222-22-22-2-22-222-222-22-2-2200000000000000000000000000-222-2-222-22-2-22000000000000000000000000000000
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χ732-2-2-2222-2-1222-2-2111-1-1-2-2-222-2-121-1111-1-11-1-112-1-22-21000000002i−2i−2i2i−2i2i2i−2i00−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i3-111-100000000−iii−ii−i−ii00000000000000003−3−3300
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Here i is the imaginary unit (i² = −1).