Finite Group Databasebeta

← Group #12252653

Character table — Group #12252653

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size111122222222222222222222222222444444444444444444444444444444444444444444888888888888888888888888888888888888888888888888888810101010101010102020202020202020202020204040404040404040
order122222444444444444558888101010101010888888101010102020202020202020202020202020202020202020202020204040404040404040444444442020202020202020202020202020202020202020202020202020202020202020404040404040404040404040161616161616161616161616161616161616161622444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111-1-111-1-1-1-111-1-111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111-1-111-1-1-1-111-1-111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ111111-1-111-1-1-1-111-1-111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ121111-1-111-1-1-1-111-1-111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ131111-1-1-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ141111-1-1-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ151111-1-1-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ161111-1-1-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ171-11-11-1i−ii−i1-1i−ii−i1-11111-1-1-1-1-1-1111-1i−ii−i11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-11111-1-1-1-1i−i1-11-1i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−iiiii−i−i−i−iii−i−i11-1-111-1-11-11-1i−ii−i
χ181-11-11-1i−ii−i1-1i−ii−i1-11111-1-1-1-1-1-1111-1i−ii−i11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-11111-1-1-1-1i−i1-11-1i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−i−i−i−i−iiiii−i−iii-1-111-1-111-11-11−ii−ii
χ191-11-11-1i−ii−i1-1i−ii−i1-11111-1-1-1-1-1-1111-1i−ii−i11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-11111-1-1-1-1−ii-11-11−ii−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-1111111-1-1ii−i−iii−i−iiiii−i−i−i−iii−i−i11-1-111-1-1-11-11−ii−ii
χ201-11-11-1i−ii−i1-1i−ii−i1-11111-1-1-1-1-1-1111-1i−ii−i11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-11111-1-1-1-1−ii-11-11−ii−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-1111111-1-1ii−i−iii−i−i−i−i−i−iiiii−i−iii-1-111-1-1111-11-1i−ii−i
χ211-11-11-1−ii−ii1-1−ii−ii1-11111-1-1-1-1-1-1111-1−ii−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-11111-1-1-1-1i−i-11-11i−iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-1111111-1-1−i−iii−i−iiiiiii−i−i−i−iii−i−i-1-111-1-1111-11-1−ii−ii
χ221-11-11-1−ii−ii1-1−ii−ii1-11111-1-1-1-1-1-1111-1−ii−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-11111-1-1-1-1i−i-11-11i−iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-1111111-1-1−i−iii−i−iii−i−i−i−iiiii−i−iii11-1-111-1-1-11-11i−ii−i
χ231-11-11-1−ii−ii1-1−ii−ii1-11111-1-1-1-1-1-1111-1−ii−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-11111-1-1-1-1−ii1-11-1−ii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iiiiiii−i−i−i−iii−i−i-1-111-1-111-11-11i−ii−i
χ241-11-11-1−ii−ii1-1−ii−ii1-11111-1-1-1-1-1-1111-1−ii−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-11111-1-1-1-1−ii1-11-1−ii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii−i−i−i−iiiii−i−iii11-1-111-1-11-11-1−ii−ii
χ251-11-1-11i−i−ii-11i−i−ii1-11111-1-1-1-1-1-111-11i−i−ii-1-111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-11111-1-1-1-1i−i1-1-11−iiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−iii11-1-1-1-1111-1-11i−i−ii
χ261-11-1-11i−i−ii-11i−i−ii1-11111-1-1-1-1-1-111-11i−i−ii-1-111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-11111-1-1-1-1i−i1-1-11−iiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-111ii−i−i−i−iii−i−i−i−iiiiiii−i−i-1-11111-1-1-111-1−iii−i
χ271-11-1-11i−i−ii-11i−i−ii1-11111-1-1-1-1-1-111-11i−i−ii-1-111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-11111-1-1-1-1−ii-111-1i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−iii11-1-1-1-111-111-1−iii−i
χ281-11-1-11i−i−ii-11i−i−ii1-11111-1-1-1-1-1-111-11i−i−ii-1-111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-11111-1-1-1-1−ii-111-1i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-1-111ii−i−i−i−iii−i−i−i−iiiiiii−i−i-1-11111-1-11-1-11i−i−ii
χ291-11-1-11−iii−i-11−iii−i1-11111-1-1-1-1-1-111-11−iii−i-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-11111-1-1-1-1i−i-111-1−iiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-1-111−i−iiiii−i−iiiii−i−i−i−i−i−iii-1-11111-1-11-1-11−iii−i
χ301-11-1-11−iii−i-11−iii−i1-11111-1-1-1-1-1-111-11−iii−i-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-11111-1-1-1-1i−i-111-1−iiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-1-111−i−iiiii−i−i−i−i−i−iiiiiii−i−i11-1-1-1-111-111-1i−i−ii
χ311-11-1-11−iii−i-11−iii−i1-11111-1-1-1-1-1-111-11−iii−i-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-11111-1-1-1-1−ii1-1-11i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-111−i−iiiii−i−iiiii−i−i−i−i−i−iii-1-11111-1-1-111-1i−i−ii
χ321-11-1-11−iii−i-11−iii−i1-11111-1-1-1-1-1-111-11−iii−i-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-11111-1-1-1-1−ii1-1-11i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-111−i−iiiii−i−i−i−i−i−iiiiiii−i−i11-1-1-1-1111-1-11−iii−i
χ3322222222222222222222-2-2-2-2222222-2-2-2-2-2-22222222222222222222222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000
χ34222222222222222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+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+52−1−520000000000000000000000000000
χ35222222222222222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+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+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000000000000000
χ36222222222222222222−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2−1+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+52−1−52−1−52−1+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+5200000000ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ721−521+521−521+521−521+521−521+521−521+521−521+520000000000000000000000000000
χ37222222222222222222−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2−1+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+52−1−52−1−52−1+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+5200000000−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ721−521+521−521+521−521+521−521+521−521+521−521+520000000000000000000000000000
χ38222222222222222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+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+520000000000000000000000000000
χ39222222222222222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000000000000000
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Here ζ is a primitive root of unity of order 80 (ζ80 = 1); i = ζ20.