Finite Group Databasebeta

← Group #11789779

Character table — Group #11789779

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444666666666666666688888888888888888888881212121212121212121212121212121218181818181818182424242424242424242424247272
order1222222233444466666666666666366666661212121212121212888888888888888844121212121212121212121212121212121212121224242424242424242424242424242424444444444444121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
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
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
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
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
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
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1
χ911-11-11-1-1111-11-111-1-1-1-1-1-1-1111-1111-1-1-1-11111-11-1-1-11iiii−i−i−i−i1111-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−ii−i1-1ii−i−i11-1-1i−i
χ1011-11-11-1-1111-11-111-1-1-1-1-1-1-1111-1111-1-1-1-11111-11-1-1-11iiii−i−i−i−i1111-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−i−ii-11−i−iii-1-111−ii
χ1111-11-11-1-1111-11-111-1-1-1-1-1-1-1111-1111-1-1-1-11111-11-1-1-11iiii−i−i−i−i-1-1-1-111111-11111-1-1-1-111-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−iii−i−iiii−i-11ii−i−i-1-111−ii
χ1211-11-11-1-1111-11-111-1-1-1-1-1-1-1111-1111-1-1-1-11111-11-1-1-11iiii−i−i−i−i-1-1-1-11111-11-1-1-1-1111111-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-11111−i−iii−i−iii−ii1-1−i−iii11-1-1i−i
χ1311-11-11-1-1111-11-111-1-1-1-1-1-1-1111-1111-1-1-1-11111-11-1-1-11−i−i−i−iiiii1111-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii−ii1-1−i−iii11-1-1−ii
χ1411-11-11-1-1111-11-111-1-1-1-1-1-1-1111-1111-1-1-1-11111-11-1-1-11−i−i−i−iiiii1111-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iiii−i-11ii−i−i-1-111i−i
χ1511-11-11-1-1111-11-111-1-1-1-1-1-1-1111-1111-1-1-1-11111-11-1-1-11−i−i−i−iiiii-1-1-1-111111-11111-1-1-1-111-1-11111-1-1-1-1−i−i−i−iiiii-1-1-1-11111ii−i−iii−i−i−ii-11−i−iii-1-111i−i
χ1611-11-11-1-1111-11-111-1-1-1-1-1-1-1111-1111-1-1-1-11111-11-1-1-11−i−i−i−iiiii-1-1-1-11111-11-1-1-1-1111111-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-11111ii−i−iii−i−ii−i1-1ii−i−i11-1-1−ii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-200000000000000000000000000-2-2-2-20000000000000000000000002222-2-2-2-200000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-200000000000000000000000000-2-2-2-2000000000000000000000000-2-2-2-2222200000000000000
χ19222222222-122222-12222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1222-1222222222000000002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002200-1-1-1-1000000
χ20222222222-122222-12222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1222-122222222200000000-2-2-2-211-2-211-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000-2-2001111000000
χ21222222222-122222-12222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1222-12-2-2-2-2-2-2-2-2000000002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2001111000000
χ22222222222-122222-12222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1222-12-2-2-2-2-2-2-2-200000000-2-2-2-211-2-211-1-1-1-1111111111111111100000000000000002200-1-1-1-1000000
χ2322222222-122222-12-1-1-1-12222-122-1-1-1-1-1-1-1-1-1222-1-1-12-1000000002222222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000000220000-1-1-1-100
χ2422222222-122222-12-1-1-1-12222-122-1-1-1-1-1-1-1-1-1222-1-1-12-10000000022222222-2-211-2-211-2-2-1-1-1-11111111100000000-1-1-1-1-1-1-1-10000000000-2-20000111100
χ2522222222-122222-12-1-1-1-12222-122-1-1-1-1-1-1-1-1-1222-1-1-12-100000000-2-2-2-2-2-2-2-222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000111111110000000000-2-20000111100
χ2622222222-122222-12-1-1-1-12222-122-1-1-1-1-1-1-1-1-1222-1-1-12-100000000-2-2-2-2-2-2-2-2-2-211-2-211-2-2-1-1-1-11111111100000000111111110000000000220000-1-1-1-100
χ27222-2-2-22-22200002222-2-222-2-2-2-2-2-22222-2-2-2-20000000022−2−222−2−222−2−222−2−2000000000000000000000022−2−222−2−222−2−222−2−22-22-2000000000000000000
χ28222-2-2-22-22200002222-2-222-2-2-2-2-2-22222-2-2-2-20000000022−2−222−2−2−2−222−2−222000000000000000000000022−2−222−2−2−2−222−2−222-22-22000000000000000000
χ29222-2-2-22-22200002222-2-222-2-2-2-2-2-22222-2-2-2-200000000−2−222−2−22222−2−222−2−20000000000000000000000−2−222−2−22222−2−222−2−2-22-22000000000000000000
χ30222-2-2-22-22200002222-2-222-2-2-2-2-2-22222-2-2-2-200000000−2−222−2−222−2−222−2−2220000000000000000000000−2−222−2−222−2−222−2−2222-22-2000000000000000000
χ3122-22-22-2-222-22-2222-2-2-2-2-2-2-2222-2222-2-2-2-222-2-22-2222-200000000000000000000000000-2-2220000000000000000000000002i2i−2i−2i−2i−2i2i2i00000000000000
χ3222-22-22-2-222-22-2222-2-2-2-2-2-2-2222-2222-2-2-2-222-2-22-2222-200000000000000000000000000-2-222000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000
χ3322-22-22-2-22-12-22-22-1-2-2-2-2111-12-112-1-11111-1-1-1-112-2-2122i2i2i2i−2i−2i−2i−2i000000002-222-1-1-2-211-1-111-1-1-1-11111−i−i−i−iiiii00000000000000002i−2i00−i−iii000000
χ3422-22-22-2-22-12-22-22-1-2-2-2-2111-12-112-1-11111-1-1-1-112-2-2122i2i2i2i−2i−2i−2i−2i00000000-22-2-21122-1-1-1-1111111-1-1-1-1−i−i−i−iiiii0000000000000000−2i2i00ii−i−i000000
χ3522-22-22-2-22-12-22-22-1-2-2-2-2111-12-112-1-11111-1-1-1-112-2-212−2i−2i−2i−2i2i2i2i2i000000002-222-1-1-2-211-1-111-1-1-1-11111iiii−i−i−i−i0000000000000000−2i2i00ii−i−i000000
χ3622-22-22-2-22-12-22-22-1-2-2-2-2111-12-112-1-11111-1-1-1-112-2-212−2i−2i−2i−2i2i2i2i2i00000000-22-2-21122-1-1-1-1111111-1-1-1-1iiii−i−i−i−i00000000000000002i−2i00−i−iii000000
χ3722-22-22-2-2-122-22-2-121111-2-2-22-12-2-1-1-11111-1-122-2-111-2-1000000002222-2-2-2-22-2-1-12211-2-2-1-111-1-1-1-1111100000000-1-1-1-1111100000000002-20000-1-11100
χ3822-22-22-2-2-122-22-2-121111-2-2-22-12-2-1-1-11111-1-122-2-111-2-1000000002222-2-2-2-2-2211-2-2-1-122-1-1111111-1-1-1-100000000-1-1-1-111110000000000-22000011-1-100
χ3922-22-22-2-2-122-22-2-121111-2-2-22-12-2-1-1-11111-1-122-2-111-2-100000000-2-2-2-222222-2-1-12211-2-2-1-111-1-1-1-11111000000001111-1-1-1-10000000000-22000011-1-100
χ4022-22-22-2-2-122-22-2-121111-2-2-22-12-2-1-1-11111-1-122-2-111-2-100000000-2-2-2-22222-2211-2-2-1-122-1-1111111-1-1-1-1000000001111-1-1-1-100000000002-20000-1-11100
χ4122-2-22-2-2222000022-2-222-2-22-2-2-22-222-2-222-2-200000000−i2−i2i2i2i2i2−i2−i222−2−2−2−2220000000000000000000000−i2−i2i2i2i2i2−i2−i222−2−2−2−222−2i2i2i−2i000000000000000000
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χ4322-2-22-2-2222000022-2-222-2-22-2-2-22-222-2-222-2-200000000i2i2−i2−i2−i2−i2i2i222−2−2−2−2220000000000000000000000i2i2−i2−i2−i2−i2i2i222−2−2−2−2222i−2i−2i2i000000000000000000
χ4422-2-22-2-2222000022-2-222-2-22-2-2-22-222-2-222-2-200000000i2i2−i2−i2−i2−i2i2i2−2−22222−2−20000000000000000000000i2i2−i2−i2−i2−i2i2i2−2−22222−2−2−2i2i2i−2i000000000000000000
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χ472-222-2-2-22220000-2-22-22-22-22-222-2-22-22-22-2-2200000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000000000000000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000-22-2200000000000000
χ482-222-2-2-22220000-2-22-22-22-22-222-2-22-22-22-2-2200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200002-22-200000000000000
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χ512-22-222-2-222-222-2-2-22-2-222-2-22-2-2222-22-2-222-2-222-2-22-222i−2i−2i2i2i−2i−2i2i000000000000000000-22-22000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ522-22-222-2-222-222-2-2-22-2-222-2-22-2-2222-22-2-222-2-222-2-22-22−2i2i2i−2i−2i2i2i−2i000000000000000000-22-2200000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ532-22-222-2-22-1-222-2-212-2-22-111-1-21-12-11-111-1-111-1-1-2-22122i−2i−2i2i2i−2i−2i2i0000000000003−3003−31-11-133−3−333−3−3−iii−i−iii−i00000000000000000000−i3i3−i3i3000000
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χ552-22-222-2-22-1-222-2-212-2-22-111-1-21-12-11-111-1-111-1-1-2-2212−2i2i2i−2i−2i2i2i−2i0000000000003−3003−31-11-133−3−333−3−3i−i−iii−i−ii00000000000000000000i3−i3i3−i3000000
χ562-22-222-2-22-1-222-2-212-2-22-111-1-21-12-11-111-1-111-1-1-2-2212−2i2i2i−2i−2i2i2i−2i000000000000−3300−331-11-1−3−333−3−333i−i−iii−i−ii00000000000000000000−i3i3−i3i3000000
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χ582-22-222-2-2-122-2-221-2-111-12-2-221-22-1-11-111-1-112-2-2-1-1121000000002i−2i−2i2i2i−2i−2i2i00−3300−3300-11-11−33−33−33−3300000000−iii−i−iii−i0000000000000000i3−i3i3−i300
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χ652-2-2-2-22222222-2-2-2-2-222-2-2222-2-2-222-2-222-22-22-222-22-2-2000000002i−2i−2i2i−2i2i2i−2i00000000002-2-2200000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ662-2-2-2-22222222-2-2-2-2-222-2-2222-2-2-222-2-222-22-22-222-22-2-200000000−2i2i2i−2i2i−2i−2i2i00000000002-2-220000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ672-2-2-2-222222-2-222-2-2-222-2-2222-2-2-222-2-222-22-2-22-2-22-2222-2-22-222-2000000000000000000-222-2000000002-2-22-222-2000000000000000000000000000000
χ682-2-2-2-222222-2-222-2-2-222-2-2222-2-2-222-2-222-22-2-22-2-22-222-222-22-2-22000000000000000000-222-200000000-222-22-2-22000000000000000000000000000000
χ692-2-2-2-22222-1-2-222-21-222-21-1-1-1-2112-111-1-11-111-11-22-2-122-2-22-222-20000000000003−300−331-1-1133−3−3−3−333-111-11-1-1100000000000000000000−333−3000000
χ702-2-2-2-22222-1-2-222-21-222-21-1-1-1-2112-111-1-11-111-11-22-2-122-2-22-222-2000000000000−33003−31-1-11−3−33333−3−3-111-11-1-11000000000000000000003−3−33000000
χ712-2-2-2-22222-1-2-222-21-222-21-1-1-1-2112-111-1-11-111-11-22-2-12-222-22-2-220000000000003−300−331-1-1133−3−3−3−3331-1-11-111-1000000000000000000003−3−33000000
χ722-2-2-2-22222-1-2-222-21-222-21-1-1-1-2112-111-1-11-111-11-22-2-12-222-22-2-22000000000000−33003−31-1-11−3−33333−3−31-1-11-111-100000000000000000000−333−3000000
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Here i is the imaginary unit (i² = −1).