Finite Group Databasebeta

← Group #72221327

Character table — Group #72221327

Order 3200.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111224444444444444444444444444488888888888888888888888888888888888888161616161616161616161616161616161616161616161616252525255050100100100100100100100100100100200200200200200200
order12224444555555101010101010101010101010101010101010222020202020202020202020202020202020202020202020202020202020202020202020201010101010101010101010101010101010101010101010102222444488888888224444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1ii−i−i
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−iii
χ511111111111111111111111111111111-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1
χ611111111111111111111111111111111-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ811111111111111111111111111111111-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ9111111-1-11111111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11-11-11-1
χ10111111-1-11111111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111-1-11-11
χ11111111-1-11111111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-11i−i−ii
χ12111111-1-11111111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-11−iii−i
χ13111111-1-1111111111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-111-1-1-11-11-11
χ14111111-1-1111111111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-111-111-11-1
χ15111111-1-1111111111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111ii−i−i−i−iii1-1−iii−i
χ16111111-1-1111111111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111−i−iiiii−i−i1-1i−i−ii
χ172222-2-22-222222222222222222222222200-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002222-2-22-200000000000000
χ182222-2-22-222222222222222222222222200-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-222-2200000000000000
χ192222-2-2-2222222222222222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222220000000000000000000000002222-2-2-2200000000000000
χ202222-2-2-2222222222222222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222000000000000000000000000-2-2-2-2222-200000000000000
χ2122-2-22-200222222222222-2-2-2-2-2-2-2-2-2-2-2-200222222-2-2-2-2-2-200000000000000000000000000000000000000000000000022-2-22-200002i−2i002i−2i000000
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χ2522-2-2-2200222222222222-2-2-2-2-2-2-2-2-2-2-2-200-2-2-2-2-2-222222200000000000000000000000000000000000000000000000022-2-2-22002i−2i002i−2i00000000
χ2622-2-2-2200222222222222-2-2-2-2-2-2-2-2-2-2-2-200-2-2-2-2-2-222222200000000000000000000000000000000000000000000000022-2-2-2200−2i2i00−2i2i00000000
χ2722-2-2-2200222222222222-2-2-2-2-2-2-2-2-2-2-2-200-2-2-2-2-2-2222222000000000000000000000000000000000000000000000000-2-2222-2002-200-2200000000
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χ3744444444-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−5244-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−520000000000000000000000
χ3844444444-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−52-4-4-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−521111−3−52−3−521−51−51+51+5−3+52−3+521111−3−52−3−521−51−51+51+5−3+52−3+520000000000000000000000
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χ44444444-4-4-14-1-1-1-1-14-1-1-1-1-1-144-1-1-1-1-1-1-1-1-44-14-1-1-1-1-14-1-1-1-111-4-41111111111-4-41111111111-4-411111111-1-144-1-1-1-1-1-1-1-10000000000000000000000
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χ47444444-4-4-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+52-1-1-1-13−523−52−1−5−1−5−1+5−1+53+523+524-4-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+521111−3+52−3+521+51+51−51−5−3−52−3−521111−3+52−3+521+51+51−51−5−3−52−3−52-1-1-1-13−523−52−1−5−1−5−1+5−1+53+523+521111−3+52−3+521+51+51−51−5−3−52−3−520000000000000000000000
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Here i is the imaginary unit (i² = −1).