Finite Group Databasebeta

← Group #11788081

Character table — Group #11788081

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444666666666666666688888888888888888888881212121212121212121212121212121218181818181818182424242424242424242424247272
order12222222334444666666666666663666666612121212121212122222444488888888441212121212121212121212121212121212121212666612121212242424242424242488888888224466661212121244
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
χ911-1-111-1-11111-1-11-1-1-11-1-1-1-11111-111-1-1-1-11111-111-1-1-111-1-111-1-1iiii−i−i−i−i1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1-1i−i11-1-1ii−i−ii−i
χ1011-1-111-1-11111-1-11-1-1-11-1-1-1-11111-111-1-1-1-11111-111-1-1-111-1-111-1-1iiii−i−i−i−i-11-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-11−ii-1-111−i−iii−ii
χ1111-1-111-1-11111-1-11-1-1-11-1-1-1-11111-111-1-1-1-11111-111-1-1-111-1-111-1-1−i−i−i−iiiii1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-1−ii11-1-1−i−iii−ii
χ1211-1-111-1-11111-1-11-1-1-11-1-1-1-11111-111-1-1-1-11111-111-1-1-111-1-111-1-1−i−i−i−iiiii-11-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-11i−i-1-111ii−i−ii−i
χ1311-1-111-1-11111-1-11-1-1-11-1-1-1-11111-111-1-1-1-11111-111-1-1-1-1-111-1-111iiii−i−i−i−i1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii-11i−i-1-111ii−i−i−ii
χ1411-1-111-1-11111-1-11-1-1-11-1-1-1-11111-111-1-1-1-11111-111-1-1-1-1-111-1-111iiii−i−i−i−i-11-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii1-1−ii11-1-1−i−iiii−i
χ1511-1-111-1-11111-1-11-1-1-11-1-1-1-11111-111-1-1-1-11111-111-1-1-1-1-111-1-111−i−i−i−iiiii1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i-11−ii-1-111−i−iiii−i
χ1611-1-111-1-11111-1-11-1-1-11-1-1-1-11111-111-1-1-1-11111-111-1-1-1-1-111-1-111−i−i−i−iiiii-11-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i1-1i−i11-1-1ii−i−i−ii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000-2-2-2-2000000002222-2-2-2-2000000000000000000000000000000
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χ19222222222-122222222-1-1-1-1-122-1-12-1-1-1-1-1-1-1-1222-1-1-1-1222222222000000002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002200-1-1-1-1000000
χ20222222222-122222222-1-1-1-1-122-1-12-1-1-1-1-1-1-1-1222-1-1-1-122222222200000000-2-2-2-211-2-211-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000-2-2001111000000
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χ23222222222-1-2-2-2-22222-1-1-1-1-122-1-12-1-1-1-1-1-1-1-1-2-2-21111-22222-2-2-2-2000000000000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i3-1-1-1-1111100000000000000000000−i3i3−i3i3000000
χ24222222222-1-2-2-2-22222-1-1-1-1-122-1-12-1-1-1-1-1-1-1-1-2-2-21111-22222-2-2-2-2000000000000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i3-1-1-1-1111100000000000000000000i3−i3i3−i3000000
χ25222222222-1-2-2-2-22222-1-1-1-1-122-1-12-1-1-1-1-1-1-1-1-2-2-21111-2-2-2-2-22222000000000000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i31111-1-1-1-100000000000000000000i3−i3i3−i3000000
χ26222222222-1-2-2-2-22222-1-1-1-1-122-1-12-1-1-1-1-1-1-1-1-2-2-21111-2-2-2-2-22222000000000000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i31111-1-1-1-100000000000000000000−i3i3−i3i3000000
χ2722222222-122222-1-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1000000002222222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000000220000-1-1-1-100
χ2822222222-122222-1-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-10000000022222222-2-211-2-211-2-2-1-1-1-11111111100000000-1-1-1-1-1-1-1-10000000000-2-20000111100
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χ3022222222-122222-1-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-100000000-2-2-2-2-2-2-2-2-2-211-2-211-2-2-1-1-1-11111111100000000111111110000000000220000-1-1-1-100
χ31222-2-2-22-222000022-2-2222-2-2-2-2-2-222222-2-2-2-20000000000002i−2i2i−2i−i2−i2i2i2−i2−i2i2i2000000000000000000000000002i−2i2i−2i−i2−i2i2i2−i2−i2i2i222−2−222−2−200000000000000
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χ33222-2-2-22-222000022-2-2222-2-2-2-2-2-222222-2-2-2-2000000000000−2i2i−2i2i−i2−i2i2i2−i2−i2i2i200000000000000000000000000−2i2i−2i2i−i2−i2i2i2−i2−i2i2i2−2−222−2−22200000000000000
χ34222-2-2-22-222000022-2-2222-2-2-2-2-2-222222-2-2-2-2000000000000−2i2i−2i2ii2i2−i2−i2i2i2−i2−i200000000000000000000000000−2i2i−2i2ii2i2−i2−i2i2i2−i2−i222−2−222−2−200000000000000
χ3522-22-2-2-222200002-2222-2-222-2-2-2-2-222-2-222-2-20000000000002i−2i−2i2i22−2−2−2−222000000000000000000000000002i−2i−2i2i22−2−2−2−222i2i2−i2−i2−i2−i2i2i200000000000000
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χ4122-2-222-2-22-122-2-22-2-2-2-1111122-1-1-2-1-11111-1-122-2-1-111-222-2-222-2-2000000002-222-1-1-2-211-1-111-1-1-1-11111-1-111-1-11100000000000000002-200-1-111000000
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χ652-2-22-222-2222-2-22-2-22-2-2-222-22-2-2222-2-222-22-22-2-22-2-222000000000000000000000000002-2-220000000000000000000000002-2-22-222-200000000000000
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χ702-2-22-222-2-12-222-211-11-2-222-2-11-22-1-111-1-11-111-1-1-222-21000000002i−2i−2i2i−2i2i2i−2i00−33003−3001-1-11−33−333−33−300000000−iii−ii−i−ii0000000000000000−i3i3i3−i300
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Here i is the imaginary unit (i² = −1).