Finite Group Databasebeta

← Group #12100799

Character table — Group #12100799

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176
size11112222222222222222222222444444444444444444444444444444448888888888888888882020202020202020404040401111222222222222222222222244444444444444444444444444444444888888888888888888202020202020202040404040
order1222224444551010101010102020202020202020444444441010101020202020202020202020202020202020202020208820202020202020204040404040404040224444442288222222444410101010101010102020202020202020444444441010101020202020202020202020202020202020202020208820202020202020204040404040404040224444442288
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ611111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ711111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1
χ811111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111
χ91-11-11-11-11-11111-1-1-1-1-1-1-1-11111i−ii−iii−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1iiii−i−i−i−i1111-1-1-1-11-11-1ii−i−i1-1i−i1-11-11-11-11-11111-1-1-1-1-1-1-1-11111i−ii−iii−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1iiii−i−i−i−i1111-1-1-1-11-11-1ii−i−i1-1i−i
χ101-11-11-11-11-11111-1-1-1-1-1-1-1-11111i−ii−iii−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1iiii−i−i−i−i1111-1-1-1-1-11-11−i−iii-11−ii1-11-11-11-11-11111-1-1-1-1-1-1-1-11111i−ii−iii−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1iiii−i−i−i−i1111-1-1-1-1-11-11−i−iii-11−ii
χ111-11-11-11-11-11111-1-1-1-1-1-1-1-11111i−ii−i−i−iii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11iiii−i−i−i−i-1-1-1-111111-11-1ii−i−i-11−ii1-11-11-11-11-11111-1-1-1-1-1-1-1-11111i−ii−i−i−iii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11iiii−i−i−i−i-1-1-1-111111-11-1ii−i−i-11−ii
χ121-11-11-11-11-11111-1-1-1-1-1-1-1-11111i−ii−i−i−iii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11iiii−i−i−i−i-1-1-1-11111-11-11−i−iii1-1i−i1-11-11-11-11-11111-1-1-1-1-1-1-1-11111i−ii−i−i−iii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11iiii−i−i−i−i-1-1-1-11111-11-11−i−iii1-1i−i
χ131-11-11-11-11-11111-1-1-1-1-1-1-1-11111−ii−iiii−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−i−i−i−iiiii-1-1-1-111111-11-1−i−iii-11i−i1-11-11-11-11-11111-1-1-1-1-1-1-1-11111−ii−iiii−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−i−i−i−iiiii-1-1-1-111111-11-1−i−iii-11i−i
χ141-11-11-11-11-11111-1-1-1-1-1-1-1-11111−ii−iiii−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−i−i−i−iiiii-1-1-1-11111-11-11ii−i−i1-1−ii1-11-11-11-11-11111-1-1-1-1-1-1-1-11111−ii−iiii−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−i−i−i−iiiii-1-1-1-11111-11-11ii−i−i1-1−ii
χ151-11-11-11-11-11111-1-1-1-1-1-1-1-11111−ii−ii−i−iii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−i−i−i−iiiii1111-1-1-1-11-11-1−i−iii1-1−ii1-11-11-11-11-11111-1-1-1-1-1-1-1-11111−ii−ii−i−iii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−i−i−i−iiiii1111-1-1-1-11-11-1−i−iii1-1−ii
χ161-11-11-11-11-11111-1-1-1-1-1-1-1-11111−ii−ii−i−iii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−i−i−i−iiiii1111-1-1-1-1-11-11ii−i−i-11i−i1-11-11-11-11-11111-1-1-1-1-1-1-1-11111−ii−ii−i−iii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−i−i−i−iiiii1111-1-1-1-1-11-11ii−i−i-11i−i
χ172222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000002222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000
χ182222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000002222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000
χ192222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000002222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000
χ202222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000002222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000
χ212222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000002222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000
χ222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000002222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000
χ232222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000002222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000
χ242222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000002222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000
χ25222222-2-2-2-222222222-2-2-2-2-2-2-2-2000000002222-2-2-2-2000000000000000000000000000000000000002-22-20000222222-2-2-2-222222222-2-2-2-2-2-2-2-2000000002222-2-2-2-2000000000000000000000000000000000000002-22-20000
χ26222222-2-2-2-222222222-2-2-2-2-2-2-2-2000000002222-2-2-2-200000000000000000000000000000000000000-22-220000222222-2-2-2-222222222-2-2-2-2-2-2-2-2000000002222-2-2-2-200000000000000000000000000000000000000-22-220000
χ272222-2-22-2-2222222222-2-2-2-2-2-2-2-222-2-20000-2-2-2-222220000000000000000002-22-22-22-2000000000000000000002222-2-22-2-2222222222-2-2-2-2-2-2-2-222-2-20000-2-2-2-222220000000000000000002-22-22-22-200000000000000000000
χ282222-2-22-2-2222222222-2-2-2-2-2-2-2-2-2-2220000-2-2-2-22222000000000000000000-22-22-22-22000000000000000000002222-2-22-2-2222222222-2-2-2-2-2-2-2-2-2-2220000-2-2-2-22222000000000000000000-22-22-22-2200000000000000000000
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χ302222-2-22-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5222-2-200001−521+521−521+52−1+52−1−52−1+52−1−52ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ700−1+521−52−1−521+52−1+521−52−1−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ70000000000002222-2-22-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5222-2-200001−521+521−521+52−1+52−1−52−1+52−1−52ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ700−1+521−52−1−521+52−1+521−52−1−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7000000000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.