Finite Group Databasebeta

← Group #12026429

Character table — Group #12026429

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176
size11111111111111112222222222222222222222222222222222222222444444444444444444444444444444444444444444444444444444448888888888888888888888888888888888888888202020202020202020202020202020204040404040404040
order1222222222222222444444445510101010101010101010101010101010101010101010101010101010101044444444202020202020202020202020202020202020202020202020202020202020202020202020202020202020202020202020444444442020202020202020202020202020202020202020202020202020202020202020444444444444444422444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ101111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ121111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ131111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ141111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ151111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ161111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111
χ17111-1-11-1-1-11111-1-1-1iiii−i−i−i−i111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111ii−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1i−i1-11-1i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-111-1-111-1-1ii−i−iii−i−i1-1i−i1-1i−i
χ18111-1-11-1-1-11111-1-1-1iiii−i−i−i−i111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111ii−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1i−i1-11-1i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-1-111-1-111−i−iii−i−iii-11−ii-11−ii
χ19111-1-11-1-1-11111-1-1-1iiii−i−i−i−i111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111ii−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1−ii-11-11−ii−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-1-1-1-1111111-1-111-1-1ii−i−iii−i−i-11−ii-11−ii
χ20111-1-11-1-1-11111-1-1-1iiii−i−i−i−i111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111ii−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1−ii-11-11−ii−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-1-1-1-11111-1-111-1-111−i−iii−i−iii1-1i−i1-1i−i
χ21111-1-11-1-1-11111-1-1-1iiii−i−i−i−i111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111−i−iii-1-111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111i−i-111-1−iiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-111-1-1-1-111ii−i−i−i−iii1-1i−i-11−ii
χ22111-1-11-1-1-11111-1-1-1iiii−i−i−i−i111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111−i−iii-1-111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111i−i-111-1−iiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1-1-11111-1-1−i−iiiii−i−i-11−ii1-1i−i
χ23111-1-11-1-1-11111-1-1-1iiii−i−i−i−i111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111−i−iii-1-111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111−ii1-1-11i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-1-1-1111111-1-1-1-111ii−i−i−i−iii-11−ii1-1i−i
χ24111-1-11-1-1-11111-1-1-1iiii−i−i−i−i111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111−i−iii-1-111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111−ii1-1-11i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111-1-11111-1-1−i−iiiii−i−i1-1i−i-11−ii
χ25111-1-11-1-1-11111-1-1-1−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111ii−i−i-1-111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111i−i1-1-11−iiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-1111111-1-1-1-111−i−iiiii−i−i-11i−i1-1−ii
χ26111-1-11-1-1-11111-1-1-1−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111ii−i−i-1-111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111i−i1-1-11−iiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111-1-11111-1-1ii−i−i−i−iii1-1−ii-11i−i
χ27111-1-11-1-1-11111-1-1-1−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111ii−i−i-1-111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111−ii-111-1i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-111-1-1-1-111−i−iiiii−i−i1-1−ii-11i−i
χ28111-1-11-1-1-11111-1-1-1−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111ii−i−i-1-111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111−ii-111-1i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1-1-11111-1-1ii−i−i−i−iii-11i−i1-1−ii
χ29111-1-11-1-1-11111-1-1-1−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111−i−iii11-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1i−i-11-11i−iiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-1111111-1-111-1-1−i−iii−i−iii-11i−i-11i−i
χ30111-1-11-1-1-11111-1-1-1−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111−i−iii11-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1i−i-11-11i−iiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-11111-1-111-1-111ii−i−iii−i−i1-1−ii1-1−ii
χ31111-1-11-1-1-11111-1-1-1−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111−i−iii11-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1−ii1-11-1−ii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-111-1-111-1-1−i−iii−i−iii1-1−ii1-1−ii
χ32111-1-11-1-1-11111-1-1-1−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111−i−iii11-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1−ii1-11-1−ii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-1-111-1-111ii−i−iii−i−i-11i−i-11i−i
χ33222222222222222222222222−1+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+52−1+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+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−5222222222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000
χ34222222222222222222222222−1+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+52−1+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+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52-2-2-2-2-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000000000000000
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χ36222222222222222222222222−1+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+52−1+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+52−1−52−1−52−1−52−1−52−1+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+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-222-2-2221−521−521+521+521−521−521+521+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+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000000000000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.