Finite Group Databasebeta

← Group #13033153

Character table — Group #13033153

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176
size1111222222444444444444444455551010101010102020202020202020111122222244444444444444445555101010101010202020202020202011112222224444444444444444555510101010101020202020202020201111222222444444444444444455551010101010102020202020202020
order12442444445101010202020202020202020202020224424444444448888224424444410101010202020202020202020202020224424444444448888224424444410101010202020202020202020202020224424444444448888224424444410101010202020202020202020202020224424444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i11111111111111111111111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i11111111111111111111111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i11111111111111111111111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii11111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii11111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii11111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii
χ5111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ6111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ7111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ8111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ911-1-1-11ii−i−i11-1-111-1-1iiii−i−i−i−i11-1-1-11ii−i−i1-11-1i−ii−i11-1-1-11ii−i−i11-1-111-1-1iiii−i−i−i−i11-1-1-11ii−i−i1-11-1i−ii−i11-1-1-11ii−i−i11-1-111-1-1iiii−i−i−i−i11-1-1-11ii−i−i1-11-1i−ii−i11-1-1-11ii−i−i11-1-111-1-1iiii−i−i−i−i11-1-1-11ii−i−i1-11-1i−ii−i
χ1011-1-1-11ii−i−i11-1-111-1-1iiii−i−i−i−i11-1-1-11ii−i−i-11-11−ii−ii11-1-1-11ii−i−i11-1-111-1-1iiii−i−i−i−i11-1-1-11ii−i−i-11-11−ii−ii11-1-1-11ii−i−i11-1-111-1-1iiii−i−i−i−i11-1-1-11ii−i−i-11-11−ii−ii11-1-1-11ii−i−i11-1-111-1-1iiii−i−i−i−i11-1-1-11ii−i−i-11-11−ii−ii
χ1111-1-1-11ii−i−i11-1-111-1-1iiii−i−i−i−i-1-1111-1−i−iiii−i−ii-111-111-1-1-11ii−i−i11-1-111-1-1iiii−i−i−i−i-1-1111-1−i−iiii−i−ii-111-111-1-1-11ii−i−i11-1-111-1-1iiii−i−i−i−i-1-1111-1−i−iiii−i−ii-111-111-1-1-11ii−i−i11-1-111-1-1iiii−i−i−i−i-1-1111-1−i−iiii−i−ii-111-1
χ1211-1-1-11ii−i−i11-1-111-1-1iiii−i−i−i−i-1-1111-1−i−iii−iii−i1-1-1111-1-1-11ii−i−i11-1-111-1-1iiii−i−i−i−i-1-1111-1−i−iii−iii−i1-1-1111-1-1-11ii−i−i11-1-111-1-1iiii−i−i−i−i-1-1111-1−i−iii−iii−i1-1-1111-1-1-11ii−i−i11-1-111-1-1iiii−i−i−i−i-1-1111-1−i−iii−iii−i1-1-11
χ1311-1-1-11−i−iii11-1-111-1-1−i−i−i−iiiii11-1-1-11−i−iii1-11-1−ii−ii11-1-1-11−i−iii11-1-111-1-1−i−i−i−iiiii11-1-1-11−i−iii1-11-1−ii−ii11-1-1-11−i−iii11-1-111-1-1−i−i−i−iiiii11-1-1-11−i−iii1-11-1−ii−ii11-1-1-11−i−iii11-1-111-1-1−i−i−i−iiiii11-1-1-11−i−iii1-11-1−ii−ii
χ1411-1-1-11−i−iii11-1-111-1-1−i−i−i−iiiii11-1-1-11−i−iii-11-11i−ii−i11-1-1-11−i−iii11-1-111-1-1−i−i−i−iiiii11-1-1-11−i−iii-11-11i−ii−i11-1-1-11−i−iii11-1-111-1-1−i−i−i−iiiii11-1-1-11−i−iii-11-11i−ii−i11-1-1-11−i−iii11-1-111-1-1−i−i−i−iiiii11-1-1-11−i−iii-11-11i−ii−i
χ1511-1-1-11−i−iii11-1-111-1-1−i−i−i−iiiii-1-1111-1ii−i−ii−i−ii1-1-1111-1-1-11−i−iii11-1-111-1-1−i−i−i−iiiii-1-1111-1ii−i−ii−i−ii1-1-1111-1-1-11−i−iii11-1-111-1-1−i−i−i−iiiii-1-1111-1ii−i−ii−i−ii1-1-1111-1-1-11−i−iii11-1-111-1-1−i−i−i−iiiii-1-1111-1ii−i−ii−i−ii1-1-11
χ1611-1-1-11−i−iii11-1-111-1-1−i−i−i−iiiii-1-1111-1ii−i−i−iii−i-111-111-1-1-11−i−iii11-1-111-1-1−i−i−i−iiiii-1-1111-1ii−i−i−iii−i-111-111-1-1-11−i−iii11-1-111-1-1−i−i−i−iiiii-1-1111-1ii−i−i−iii−i-111-111-1-1-11−i−iii11-1-111-1-1−i−i−i−iiiii-1-1111-1ii−i−i−iii−i-111-1
χ172222-2-2000022-2-2-2-222000000002222-2-20000000000002222-2-2000022-2-2-2-222000000002222-2-20000000000002222-2-2000022-2-2-2-222000000002222-2-20000000000002222-2-2000022-2-2-2-222000000002222-2-2000000000000
χ182222-2-2000022-2-2-2-22200000000-2-2-2-2220000000000002222-2-2000022-2-2-2-22200000000-2-2-2-2220000000000002222-2-2000022-2-2-2-22200000000-2-2-2-2220000000000002222-2-2000022-2-2-2-22200000000-2-2-2-222000000000000
χ1922-2-22-200002222-2-2-2-20000000022-2-22-200000000000022-2-22-200002222-2-2-2-20000000022-2-22-200000000000022-2-22-200002222-2-2-2-20000000022-2-22-200000000000022-2-22-200002222-2-2-2-20000000022-2-22-2000000000000
χ2022-2-22-200002222-2-2-2-200000000-2-222-2200000000000022-2-22-200002222-2-2-2-200000000-2-222-2200000000000022-2-22-200002222-2-2-2-200000000-2-222-2200000000000022-2-22-200002222-2-2-2-200000000-2-222-22000000000000
χ212-22i−2i001+i−1−i1−i−1+i2-200002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i2-22i−2i001+i−1−i1−i−1+i000000002-22i−2i001+i−1−i1−i−1+i2-200002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i2-22i−2i001+i−1−i1−i−1+i000000002-22i−2i001+i−1−i1−i−1+i2-200002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i2-22i−2i001+i−1−i1−i−1+i000000002-22i−2i001+i−1−i1−i−1+i2-200002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i2-22i−2i001+i−1−i1−i−1+i00000000
χ222-22i−2i001+i−1−i1−i−1+i2-200002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i-22−2i2i00−1−i1+i−1+i1−i000000002-22i−2i001+i−1−i1−i−1+i2-200002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i-22−2i2i00−1−i1+i−1+i1−i000000002-22i−2i001+i−1−i1−i−1+i2-200002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i-22−2i2i00−1−i1+i−1+i1−i000000002-22i−2i001+i−1−i1−i−1+i2-200002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i-22−2i2i00−1−i1+i−1+i1−i00000000
χ232-22i−2i00−1−i1+i−1+i1−i2-200002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i2-22i−2i00−1−i1+i−1+i1−i000000002-22i−2i00−1−i1+i−1+i1−i2-200002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i2-22i−2i00−1−i1+i−1+i1−i000000002-22i−2i00−1−i1+i−1+i1−i2-200002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i2-22i−2i00−1−i1+i−1+i1−i000000002-22i−2i00−1−i1+i−1+i1−i2-200002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i2-22i−2i00−1−i1+i−1+i1−i00000000
χ242-22i−2i00−1−i1+i−1+i1−i2-200002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i-22−2i2i001+i−1−i1−i−1+i000000002-22i−2i00−1−i1+i−1+i1−i2-200002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i-22−2i2i001+i−1−i1−i−1+i000000002-22i−2i00−1−i1+i−1+i1−i2-200002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i-22−2i2i001+i−1−i1−i−1+i000000002-22i−2i00−1−i1+i−1+i1−i2-200002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i-22−2i2i001+i−1−i1−i−1+i00000000
χ252-2−2i2i001−i−1+i1+i−1−i2-20000−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i2-2−2i2i001−i−1+i1+i−1−i000000002-2−2i2i001−i−1+i1+i−1−i2-20000−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i2-2−2i2i001−i−1+i1+i−1−i000000002-2−2i2i001−i−1+i1+i−1−i2-20000−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i2-2−2i2i001−i−1+i1+i−1−i000000002-2−2i2i001−i−1+i1+i−1−i2-20000−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i2-2−2i2i001−i−1+i1+i−1−i00000000
χ262-2−2i2i001−i−1+i1+i−1−i2-20000−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i-222i−2i00−1+i1−i−1−i1+i000000002-2−2i2i001−i−1+i1+i−1−i2-20000−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i-222i−2i00−1+i1−i−1−i1+i000000002-2−2i2i001−i−1+i1+i−1−i2-20000−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i-222i−2i00−1+i1−i−1−i1+i000000002-2−2i2i001−i−1+i1+i−1−i2-20000−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i-222i−2i00−1+i1−i−1−i1+i00000000
χ272-2−2i2i00−1+i1−i−1−i1+i2-20000−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i2-2−2i2i00−1+i1−i−1−i1+i000000002-2−2i2i00−1+i1−i−1−i1+i2-20000−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i2-2−2i2i00−1+i1−i−1−i1+i000000002-2−2i2i00−1+i1−i−1−i1+i2-20000−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i2-2−2i2i00−1+i1−i−1−i1+i000000002-2−2i2i00−1+i1−i−1−i1+i2-20000−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i2-2−2i2i00−1+i1−i−1−i1+i00000000
χ282-2−2i2i00−1+i1−i−1−i1+i2-20000−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i-222i−2i001−i−1+i1+i−1−i000000002-2−2i2i00−1+i1−i−1−i1+i2-20000−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i-222i−2i001−i−1+i1+i−1−i000000002-2−2i2i00−1+i1−i−1−i1+i2-20000−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i-222i−2i001−i−1+i1+i−1−i000000002-2−2i2i00−1+i1−i−1−i1+i2-20000−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i-222i−2i001−i−1+i1+i−1−i00000000
χ294444444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000004444444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000004444444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000004444444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ30444444-4-4-4-4-1-1-1-1-1-1-1-111111111000000000000000000444444-4-4-4-4-1-1-1-1-1-1-1-111111111000000000000000000444444-4-4-4-4-1-1-1-1-1-1-1-111111111000000000000000000444444-4-4-4-4-1-1-1-1-1-1-1-111111111000000000000000000
χ314444-4-40000-1-11111-1-1i5−i5i5−i5i5−i5i5−i50000000000000000004444-4-40000-1-11111-1-1i5−i5i5−i5i5−i5i5−i50000000000000000004444-4-40000-1-11111-1-1i5−i5i5−i5i5−i5i5−i50000000000000000004444-4-40000-1-11111-1-1i5−i5i5−i5i5−i5i5−i5000000000000000000
χ324444-4-40000-1-11111-1-1−i5i5−i5i5−i5i5−i5i50000000000000000004444-4-40000-1-11111-1-1−i5i5−i5i5−i5i5−i5i50000000000000000004444-4-40000-1-11111-1-1−i5i5−i5i5−i5i5−i5i50000000000000000004444-4-40000-1-11111-1-1−i5i5−i5i5−i5i5−i5i5000000000000000000
χ3344-4-44-40000-1-1-1-111115−55−5−55−5500000000000000000044-4-44-40000-1-1-1-111115−55−5−55−5500000000000000000044-4-44-40000-1-1-1-111115−55−5−55−5500000000000000000044-4-44-40000-1-1-1-111115−55−5−55−55000000000000000000
χ3444-4-44-40000-1-1-1-11111−55−555−55−500000000000000000044-4-44-40000-1-1-1-11111−55−555−55−500000000000000000044-4-44-40000-1-1-1-11111−55−555−55−500000000000000000044-4-44-40000-1-1-1-11111−55−555−55−5000000000000000000
χ3544-4-4-444i4i−4i−4i-1-111-1-111−i−i−i−iiiii00000000000000000044-4-4-444i4i−4i−4i-1-111-1-111−i−i−i−iiiii00000000000000000044-4-4-444i4i−4i−4i-1-111-1-111−i−i−i−iiiii00000000000000000044-4-4-444i4i−4i−4i-1-111-1-111−i−i−i−iiiii000000000000000000
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χ1764-4−4i4i00−2+2i2−2i−2−2i2+2i-11−55i5−i5i−iζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ19−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19000000000000000000-444i−4i002−2i−2+2i2+2i−2−2i1-15−5−i5i5−ii−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14ζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ19000000000000000000-444i−4i002−2i−2+2i2+2i−2−2i1-15−5−i5i5−ii−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14ζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ190000000000000000004-4−4i4i00−2+2i2−2i−2−2i2+2i-11−55i5−i5i−iζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ19−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19000000000000000000

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