Finite Group Databasebeta

← Group #13021990

Character table — Group #13021990

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11112222224444444444444444444444444444888888888888888888888888101010101010101020202020202020202020202040404040404040404040404040404040
order12222222224444444444445101010101010102020202020202020101010102020202020202020202020202020202020202020222222224444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ511111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii
χ811111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i
χ91111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
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χ121111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i
χ131111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ151111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ161111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
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χ1811-1-111-1-11-1ii−i−i11-1-1ii−i−i11-111-1-1-1iiii−i−i−i−i11-1-11111-1-1-1-1iiii−i−i−i−iii−i−i11-1-111-1-1ii−i−i11-1-1ii−i−i-11−ii-11−ii-11−ii-11−ii
χ1911-1-111-1-11-1ii−i−i11-1-1ii−i−i11-111-1-1-1iiii−i−i−i−i11-1-11111-1-1-1-1iiii−i−i−i−iii−i−i-1-111-1-111−i−iii-1-111−i−iiii−i-11i−i-11−ii1-1−ii1-1
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χ2211-1-111-1-11-1ii−i−i-1-111−i−iii11-111-1-1-1iiii−i−i−i−i11-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i11-1-111-1-1ii−i−i-1-111−i−iii-11−ii1-1i−i-11−ii1-1i−i
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χ2411-1-111-1-11-1ii−i−i-1-111−i−iii11-111-1-1-1iiii−i−i−i−i11-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i-1-111-1-111−i−iii11-1-1ii−i−i−ii1-1i−i-11i−i-11−ii1-1
χ2511-1-111-1-11-1−i−iii11-1-1−i−iii11-111-1-1-1−i−i−i−iiiii11-1-11111-1-1-1-1−i−i−i−iiiii−i−iii11-1-111-1-1−i−iii11-1-1−i−iii1-1−ii1-1−ii1-1−ii1-1−ii
χ2611-1-111-1-11-1−i−iii11-1-1−i−iii11-111-1-1-1−i−i−i−iiiii11-1-11111-1-1-1-1−i−i−i−iiiii−i−iii11-1-111-1-1−i−iii11-1-1−i−iii-11i−i-11i−i-11i−i-11i−i
χ2711-1-111-1-11-1−i−iii11-1-1−i−iii11-111-1-1-1−i−i−i−iiiii11-1-11111-1-1-1-1−i−i−i−iiiii−i−iii-1-111-1-111ii−i−i-1-111ii−i−ii−i1-1i−i1-1−ii-11−ii-11
χ2811-1-111-1-11-1−i−iii11-1-1−i−iii11-111-1-1-1−i−i−i−iiiii11-1-11111-1-1-1-1−i−i−i−iiiii−i−iii-1-111-1-111ii−i−i-1-111ii−i−i−ii-11−ii-11i−i1-1i−i1-1
χ2911-1-111-1-11-1−i−iii-1-111ii−i−i11-111-1-1-1−i−i−i−iiiii11-1-1-1-1-1-11111iiii−i−i−i−i−i−iii11-1-111-1-1−i−iii-1-111ii−i−i1-1−ii-11i−i1-1−ii-11i−i
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χ3211-1-111-1-11-1−i−iii-1-111ii−i−i11-111-1-1-1−i−i−i−iiiii11-1-1-1-1-1-11111iiii−i−i−i−i−i−iii-1-111-1-111ii−i−i11-1-1−i−iii−ii-11i−i1-1i−i1-1−ii-11
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χ8844-4-4-4-4444-4−4i4i4i−4i00000000-1-11-1-1111iiii−i−i−i−i11-1-1−555−55−5−55i5−i5−i5i5−i5i5i5−i5−i−iii000000000000000000000000000000000000
χ898-88-80000000000000000008-8-80000800000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8000000000000000000-22225−2525−25-2−2ζ2+2ζ6−2ζ14+2ζ182ζ2−2ζ6+2ζ14−2ζ18−2ζ2−2ζ6+2ζ14+2ζ182ζ2+2ζ6−2ζ14−2ζ18−2ζ2+2ζ6−2ζ14+2ζ182ζ2−2ζ6+2ζ14−2ζ18−2ζ2−2ζ6+2ζ14+2ζ182ζ2+2ζ6−2ζ14−2ζ18000000000000000000000000000000000000000000000000000000000000
χ918-88-8000000000000000000-22225−2525−25-22ζ2−2ζ6+2ζ14−2ζ18−2ζ2+2ζ6−2ζ14+2ζ182ζ2+2ζ6−2ζ14−2ζ18−2ζ2−2ζ6+2ζ14+2ζ182ζ2−2ζ6+2ζ14−2ζ18−2ζ2+2ζ6−2ζ14+2ζ182ζ2+2ζ6−2ζ14−2ζ18−2ζ2−2ζ6+2ζ14+2ζ18000000000000000000000000000000000000000000000000000000000000
χ928-88-8000000000000000000-222−2525−2525-2−2ζ2−2ζ6+2ζ14+2ζ182ζ2+2ζ6−2ζ14−2ζ182ζ2−2ζ6+2ζ14−2ζ18−2ζ2+2ζ6−2ζ14+2ζ18−2ζ2−2ζ6+2ζ14+2ζ182ζ2+2ζ6−2ζ14−2ζ182ζ2−2ζ6+2ζ14−2ζ18−2ζ2+2ζ6−2ζ14+2ζ18000000000000000000000000000000000000000000000000000000000000
χ938-88-8000000000000000000-222−2525−2525-22ζ2+2ζ6−2ζ14−2ζ18−2ζ2−2ζ6+2ζ14+2ζ18−2ζ2+2ζ6−2ζ14+2ζ182ζ2−2ζ6+2ζ14−2ζ182ζ2+2ζ6−2ζ14−2ζ18−2ζ2−2ζ6+2ζ14+2ζ18−2ζ2+2ζ6−2ζ14+2ζ182ζ2−2ζ6+2ζ14−2ζ18000000000000000000000000000000000000000000000000000000000000
χ948-8-880000000000000000008-880000-800000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88000000000000000000-22-225−25−25252−2ζ3+2ζ7−2ζ11+2ζ192ζ3−2ζ7+2ζ11−2ζ19−2ζ3+2ζ7+2ζ11−2ζ192ζ3−2ζ7−2ζ11+2ζ192ζ3−2ζ7+2ζ11−2ζ19−2ζ3+2ζ7−2ζ11+2ζ192ζ3−2ζ7−2ζ11+2ζ19−2ζ3+2ζ7+2ζ11−2ζ19000000000000000000000000000000000000000000000000000000000000
χ968-8-88000000000000000000-22-225−25−252522ζ3−2ζ7+2ζ11−2ζ19−2ζ3+2ζ7−2ζ11+2ζ192ζ3−2ζ7−2ζ11+2ζ19−2ζ3+2ζ7+2ζ11−2ζ19−2ζ3+2ζ7−2ζ11+2ζ192ζ3−2ζ7+2ζ11−2ζ19−2ζ3+2ζ7+2ζ11−2ζ192ζ3−2ζ7−2ζ11+2ζ19000000000000000000000000000000000000000000000000000000000000
χ978-8-88000000000000000000-22-2−252525−2522ζ3−2ζ7−2ζ11+2ζ19−2ζ3+2ζ7+2ζ11−2ζ19−2ζ3+2ζ7−2ζ11+2ζ192ζ3−2ζ7+2ζ11−2ζ19−2ζ3+2ζ7+2ζ11−2ζ192ζ3−2ζ7−2ζ11+2ζ192ζ3−2ζ7+2ζ11−2ζ19−2ζ3+2ζ7−2ζ11+2ζ19000000000000000000000000000000000000000000000000000000000000
χ988-8-88000000000000000000-22-2−252525−252−2ζ3+2ζ7+2ζ11−2ζ192ζ3−2ζ7−2ζ11+2ζ192ζ3−2ζ7+2ζ11−2ζ19−2ζ3+2ζ7−2ζ11+2ζ192ζ3−2ζ7−2ζ11+2ζ19−2ζ3+2ζ7+2ζ11−2ζ19−2ζ3+2ζ7−2ζ11+2ζ192ζ3−2ζ7+2ζ11−2ζ19000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.