Finite Group Databasebeta

← Group #12066803

Character table — Group #12066803

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111122222222222222222244444444444444444444448888888888888888888888888888888810101010101010101616161616161616161616161616161620202020404040404040404040404040
order1222224444444455101010101010441010101020202020202020202020202020202020444444448888202020202020202020202020202020202020202044444444202020202020202040404040404040402244224444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ9111111-1-1-1-1-1-111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-111-11-111-1-111-1-1
χ10111111-1-1-1-1-1-111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111-1-11-11-1-111-1-111
χ11111111-1-1-1-1-1-111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-111-11-1-1-111-1-111
χ12111111-1-1-1-1-1-111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111-1-11-1111-1-111-1-1
χ13111111-1-1-1-1-1-111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-11-11-1111-1-1-1-111
χ14111111-1-1-1-1-1-111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111-11-11-1-1-11111-1-1
χ15111111-1-1-1-1-1-111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-11-11-11-1-11111-1-1
χ16111111-1-1-1-1-1-111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1111-11-11-111-1-1-1-111
χ171111-1-111-1-111-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1i−ii−ii−ii−i-1-111iiii−i−i−i−iiiii−i−i−i−i11-1-1111111-1-111-1-1ii−i−iii−i−i1-1-1-11-1-11i−ii−ii−ii−i
χ181111-1-111-1-111-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1i−ii−ii−ii−i-1-111iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-111-1-111-1-1ii−i−iii−i−i-1111-111-1−ii−ii−ii−ii
χ191111-1-111-1-111-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1−ii−ii−ii−ii-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-1111111-1-111-1-1−i−iii−i−iii1-1-1-11-1-11−ii−ii−ii−ii
χ201111-1-111-1-111-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1−ii−ii−ii−ii-1-111−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-111-1-111-1-1−i−iii−i−iii-1111-111-1i−ii−ii−ii−i
χ211111-1-111-1-111-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11i−ii−i−ii−ii-1-111iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-111-1-111−i−iii−i−iii1-1-1-1-111-1i−ii−i−ii−ii
χ221111-1-111-1-111-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11i−ii−i−ii−ii-1-111iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-1-1-111-1-111−i−iii−i−iii-11111-1-11−ii−iii−ii−i
χ231111-1-111-1-111-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11−ii−iii−ii−i-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-111-1-111ii−i−iii−i−i1-1-1-1-111-1−ii−iii−ii−i
χ241111-1-111-1-111-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11−ii−iii−ii−i-1-111−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-1-1-111-1-111ii−i−iii−i−i-11111-1-11i−ii−i−ii−ii
χ251111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11i−i−iii−i−ii1111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111-1-1-1-111ii−i−i−i−iii-111-111-1-1i−i−iii−i−ii
χ261111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11i−i−iii−i−ii1111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-111-1-1-1-111ii−i−i−i−iii1-1-11-1-111−iii−i−iii−i
χ271111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11−iii−i−iii−i1111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111-1-1-1-111−i−iiiii−i−i-111-111-1-1−iii−i−iii−i
χ281111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11−iii−i−iii−i1111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-111-1-1-1-111−i−iiiii−i−i1-1-11-1-111i−i−iii−i−ii
χ291111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1i−i−ii−iii−i1111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111-1-11111-1-1−i−iiiii−i−i-111-1-1-111i−i−ii−iii−i
χ301111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1i−i−ii−iii−i1111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-1-11111-1-1−i−iiiii−i−i1-1-1111-1-1−iii−ii−i−ii
χ311111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1−iii−ii−i−ii1111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111-1-11111-1-1ii−i−i−i−iii-111-1-1-111−iii−ii−i−ii
χ321111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1−iii−ii−i−ii1111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-1-11111-1-1ii−i−i−i−iii1-1-1111-1-1i−i−ii−iii−i
χ3322222222222222−1+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+52−1−52−1−52−1+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+52−1−52−1−5200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
χ3422222222222222−1+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+52−1−52−1−52−1+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+5200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+520000000000000000
χ3522222222222222−1+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+52−1−52−1−52−1+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+52−1−52−1−52000000001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+520000000000000000
χ3622222222222222−1+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+52−1−52−1−52−1+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+52000000001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
χ3722222222222222−1−52−1+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+52−1−52−1−52−1+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+5200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000
χ3822222222222222−1−52−1+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+52−1−52−1−52−1+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+521−521−5200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−520000000000000000
χ3922222222222222−1−52−1+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+52−1−52−1−52−1+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+52000000001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−520000000000000000
χ4022222222222222−1−52−1+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+52−1−52−1−52−1+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+521−521−52000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000
χ412222222222-2-2-2-222222222-2-22222-2-2-2-222222222-2-2-2-2000000000000-2-2-2-200000000000000002222-2-2-2-2000000000000000022-2-2000000000000
χ422222222222-2-2-2-222222222-2-22222-2-2-2-222222222-2-2-2-2000000000000-2-2-2-20000000000000000-2-2-2-222220000000000000000-2-222000000000000
χ43222222-2-2-2-222-2-222222222-2222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000022-2-20000000000000000222222-2-20000000000000000-2-22-2000000000000
χ44222222-2-2-2-222-2-222222222-2222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000022-2-20000000000000000-2-2-2-2-2-222000000000000000022-22000000000000
χ45222222-2-2-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5222-2-222-2-222-2-21−521+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+5200000000−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000
χ46222222-2-2-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5222-2-2-2-222-2-2221−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000
χ47222222-2-2-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2-22222-2-2-2-2221−521+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+52000000001−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000
χ48222222-2-2-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2-222-2-22222-2-21−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000
χ49222222-2-2-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5222-2-222-2-222-2-21+521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000000000
χ50222222-2-2-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5222-2-2-2-222-2-2221+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000
χ51222222-2-2-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-2-22222-2-2-2-2221+521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000001+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.