Finite Group Databasebeta

← Group #11989362

Character table — Group #11989362

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11111111222222222222222222222222444444444444444444888888888888888888888888888888888888888888888888101010101616161616161616202020202020404040404040404040404040
order1222222244444444551010101010101010101010101010442020202020202020202020202020202044448888888820202020404040404040404040404040404040404040404040404040404040404040404044442020202020202020224444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i1111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−i
χ1011111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i1111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-111-1-111-1-111−i−iii−i−iii
χ1111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii1111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-111-1-111-1-1−i−iii−i−iii
χ1211111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii1111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1-1-111-1-111-1-111ii−i−iii−i−i
χ1311111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii1111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111-1-111-1-1-1-111ii−i−i−i−iii
χ1411111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii1111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1111111-1-11111-1-1−i−iiiii−i−i
χ1511111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i1111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11111-1-111-1-1-1-111−i−iiiii−i−i
χ1611111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i1111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1111111-1-11111-1-1ii−i−i−i−iii
χ171-1-1111-1-111-1-111-1-111-1-1-1-1111111-1-1-1-11-11111-1-1-1-11111-1-1-1-1i−ii−i1-11-1i−ii−i11-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−iii−i−i1-11-11-1i−ii−i1-11-1i−ii−i
χ181-1-1111-1-111-1-111-1-111-1-1-1-1111111-1-1-1-11-11111-1-1-1-11111-1-1-1-1i−ii−i1-11-1i−ii−i11-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111ii−i−iii−i−i-11-11-11−ii−ii-11-11−ii−ii
χ191-1-1111-1-111-1-111-1-111-1-1-1-1111111-1-1-1-11-11111-1-1-1-11111-1-1-1-1i−ii−i-11-11−ii−ii11-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii11-1-1ii−i−iii−i−i1-11-11-1i−ii−i-11-11−ii−ii
χ201-1-1111-1-111-1-111-1-111-1-1-1-1111111-1-1-1-11-11111-1-1-1-11111-1-1-1-1i−ii−i-11-11−ii−ii11-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−iii−i−i-11-11-11−ii−ii1-11-1i−ii−i
χ211-1-1111-1-111-1-111-1-111-1-1-1-1111111-1-1-1-11-11111-1-1-1-11111-1-1-1-1−ii−ii1-11-1−ii−ii11-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii−i−iii1-11-11-1−ii−ii1-11-1−ii−ii
χ221-1-1111-1-111-1-111-1-111-1-1-1-1111111-1-1-1-11-11111-1-1-1-11111-1-1-1-1−ii−ii1-11-1−ii−ii11-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111−i−iii−i−iii-11-11-11i−ii−i-11-11i−ii−i
χ231-1-1111-1-111-1-111-1-111-1-1-1-1111111-1-1-1-11-11111-1-1-1-11111-1-1-1-1−ii−ii-11-11i−ii−i11-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i11-1-1−i−iii−i−iii1-11-11-1−ii−ii-11-11i−ii−i
χ241-1-1111-1-111-1-111-1-111-1-1-1-1111111-1-1-1-11-11111-1-1-1-11111-1-1-1-1−ii−ii-11-11i−ii−i11-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii−i−iii-11-11-11i−ii−i1-11-1−ii−ii
χ251-1-1111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-11-1-1-1-1-11111-1-1-1-11111i−i−iii−i−ii-111-111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-111-1-1ii−i−i−i−iii-111-1-11i−i−iii−i−ii-111-1
χ261-1-1111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-11-1-1-1-1-11111-1-1-1-11111i−i−iii−i−ii-111-111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-1-111ii−i−i−i−iii1-1-111-1−iii−i−iii−i1-1-11
χ271-1-1111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-11-1-1-1-1-11111-1-1-1-11111i−i−ii−iii−i1-1-1111-1-1−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-1111111-1-1ii−i−i−i−iii-111-1-11i−i−ii−iii−i1-1-11
χ281-1-1111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-11-1-1-1-1-11111-1-1-1-11111i−i−ii−iii−i1-1-1111-1-1−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-111ii−i−i−i−iii1-1-111-1−iii−ii−i−ii-111-1
χ291-1-1111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-11-1-1-1-1-11111-1-1-1-11111−iii−ii−i−ii1-1-1111-1-1iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-1111111-1-1−i−iiiii−i−i-111-1-11−iii−ii−i−ii1-1-11
χ301-1-1111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-11-1-1-1-1-11111-1-1-1-11111−iii−ii−i−ii1-1-1111-1-1iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-111−i−iiiii−i−i1-1-111-1i−i−ii−iii−i-111-1
χ311-1-1111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-11-1-1-1-1-11111-1-1-1-11111−iii−i−iii−i-111-111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-111-1-1−i−iiiii−i−i-111-1-11−iii−i−iii−i-111-1
χ321-1-1111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-11-1-1-1-1-11111-1-1-1-11111−iii−i−iii−i-111-111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-1-111−i−iiiii−i−i1-1-111-1i−i−iii−i−ii1-1-11
χ332222222222222222−1+52−1−52−1+52−1+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+52−1−52−1−52222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ342222222222222222−1+52−1−52−1+52−1+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+52−1−52−1−522222-2-2-2-2-2-2-2-2−1+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+520000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ352222222222222222−1+52−1−52−1+52−1+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+52−1−52−1−52-2-2-2-22222-2-2-2-2−1+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+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200001−521+521−521+521−521+521−521+52000000000000000000
χ362222222222222222−1+52−1−52−1+52−1+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+52−1−52−1−52-2-2-2-2-2-2-2-22222−1+52−1−52−1+52−1−521−521−521+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+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+521−521+521−521+52000000000000000000
χ372222222222222222−1−52−1+52−1−52−1−52−1+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+52222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ382222222222222222−1−52−1+52−1−52−1−52−1+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+522222-2-2-2-2-2-2-2-2−1−52−1+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+521−521−520000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ392222222222222222−1−52−1+52−1−52−1−52−1+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+52-2-2-2-22222-2-2-2-2−1−52−1+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+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200001+521−521+521−521+521−521+521−52000000000000000000
χ402222222222222222−1−52−1+52−1−52−1−52−1+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+52-2-2-2-2-2-2-2-22222−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1+5200001+521−521+521−521+521−521+521−52000000000000000000
χ412222222222-2-2-2-2222222222222222222-2-22222-2-2-2-2-2-2-2-22222000000000000-2-2-2-20000000000000000000000000000000022220000000022-2-2-2-2000000000000
χ422222222222-2-2-2-2222222222222222222-2-22222-2-2-2-2-2-2-2-22222000000000000-2-2-2-200000000000000000000000000000000-2-2-2-200000000-2-22222000000000000
χ4322222222-2-22222-2-22222222222222222-2-2-2-2-2-222222222-2-2-2-2000000000000-2-2-2-200000000000000000000000000000000222200000000-2-2-2-222000000000000
χ4422222222-2-22222-2-22222222222222222-2-2-2-2-2-222222222-2-2-2-2000000000000-2-2-2-200000000000000000000000000000000-2-2-2-2000000002222-2-2000000000000
χ4522222222-2-2-2-2-2-2-2-2−1+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+52−1−52−1−52221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5222-2-22i2i−2i−2i2i2i−2i−2i−1+52−1−52−1+52−1−52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ70000−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000
χ4622222222-2-2-2-2-2-2-2-2−1+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+52−1−52−1−52221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5222-2-2−2i−2i2i2i−2i−2i2i2i−1+52−1−52−1+52−1−52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ70000−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000
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χ1234-4-44-4-444000000004444444-4-44-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000004i−4i−4i4i00000000000000000000000000
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χ1288-8-88-8-88800000000−2−25−2+25−2−25−2−25−2+25−2+25−2−252+252+25−2+252−252−252+252+252−252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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