Finite Group Databasebeta

← Group #11753405

Character table — Group #11753405

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222222224444444444444444444444444466666666666666668888888888881010101010101010101010101212121212121212121212122020202020203030303030303030
order12223444444556661010101010101212121212121515202020202020202020202020303030303030224444442020202020202020606060606060606060606060444444441212121210101010202020202020202012121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111-1-1-1-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1
χ61111111-1-1-1-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111-1-1-1-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111
χ81111111-1-1-1-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1
χ911111-1-111-1-111111111111-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-111
χ1011111-1-111-1-111111111111-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-11111-1-111-1-111-1-111-1-1
χ1111111-1-111-1-111111111111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1
χ1211111-1-111-1-111111111111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-111
χ1311111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ1411111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1511111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111
χ1611111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1
χ171-1-111i−ii−i1-111-1-11-1-111-1-1i−ii−i1-111ii−i−iii−i−i11-1-1-1-111-1-11-1i−ii−i1-11111-1-1-1-111-1-1ii−i−iii−i−ii−ii−i1-11-1ii−i−i11-1-1ii−i−iii−i−ii−i1-11-1i−ii−i1-11-1
χ181-1-111i−ii−i1-111-1-11-1-111-1-1i−ii−i1-111ii−i−iii−i−i11-1-1-1-111-1-11-1i−ii−i1-11111-1-1-1-111-1-1ii−i−iii−i−i−ii−ii-11-11−i−iii11-1-1ii−i−iii−i−i−ii-11-11−ii−ii-11-11
χ191-1-111i−ii−i1-111-1-11-1-111-1-1i−ii−i1-111ii−i−iii−i−i11-1-1-1-111-1-1-11−ii−ii-11-1-1-1-1111111-1-1ii−i−iii−i−ii−ii−i1-11-1ii−i−i-1-111−i−iii−i−iiii−i1-11-1−ii−ii-11-11
χ201-1-111i−ii−i1-111-1-11-1-111-1-1i−ii−i1-111ii−i−iii−i−i11-1-1-1-111-1-1-11−ii−ii-11-1-1-1-1111111-1-1ii−i−iii−i−i−ii−ii-11-11−i−iii-1-111−i−iii−i−iii−ii-11-11i−ii−i1-11-1
χ211-1-111i−i−ii-1111-1-11-1-111-1-1i−i−ii-1111ii−i−i−i−iii-1-111-1-111-1-11-1i−i−ii-11-1-1-1-11111-1-111ii−i−i−i−iiii−i−ii1-1-11−i−iii11-1-1ii−i−i−i−iiii−i1-1-11−iii−i1-1-11
χ221-1-111i−i−ii-1111-1-11-1-111-1-1i−i−ii-1111ii−i−i−i−iii-1-111-1-111-1-11-1i−i−ii-11-1-1-1-11111-1-111ii−i−i−i−iii−iii−i-111-1ii−i−i11-1-1ii−i−i−i−iii−ii-111-1i−i−ii-111-1
χ231-1-111i−i−ii-1111-1-11-1-111-1-1i−i−ii-1111ii−i−i−i−iii-1-111-1-111-1-1-11−iii−i1-11111-1-1-1-1-1-111ii−i−i−i−iiii−i−ii1-1-11−i−iii-1-111−i−iiiii−i−ii−i1-1-11i−i−ii-111-1
χ241-1-111i−i−ii-1111-1-11-1-111-1-1i−i−ii-1111ii−i−i−i−iii-1-111-1-111-1-1-11−iii−i1-11111-1-1-1-1-1-111ii−i−i−i−iii−iii−i-111-1ii−i−i-1-111−i−iiiii−i−i−ii-111-1−iii−i1-1-11
χ251-1-111−iii−i-1111-1-11-1-111-1-1−iii−i-1111−i−iiiii−i−i-1-111-1-111-1-11-1−iii−i-11-1-1-1-11111-1-111−i−iiiii−i−ii−i−ii-111-1−i−iii11-1-1−i−iiiii−i−ii−i-111-1−iii−i-111-1
χ261-1-111−iii−i-1111-1-11-1-111-1-1−iii−i-1111−i−iiiii−i−i-1-111-1-111-1-11-1−iii−i-11-1-1-1-11111-1-111−i−iiiii−i−i−iii−i1-1-11ii−i−i11-1-1−i−iiiii−i−i−ii1-1-11i−i−ii1-1-11
χ271-1-111−iii−i-1111-1-11-1-111-1-1−iii−i-1111−i−iiiii−i−i-1-111-1-111-1-1-11i−i−ii1-11111-1-1-1-1-1-111−i−iiiii−i−ii−i−ii-111-1−i−iii-1-111ii−i−i−i−iiii−i-111-1i−i−ii1-1-11
χ281-1-111−iii−i-1111-1-11-1-111-1-1−iii−i-1111−i−iiiii−i−i-1-111-1-111-1-1-11i−i−ii1-11111-1-1-1-1-1-111−i−iiiii−i−i−iii−i1-1-11ii−i−i-1-111ii−i−i−i−iii−ii1-1-11−iii−i-111-1
χ291-1-111−ii−ii1-111-1-11-1-111-1-1−ii−ii1-111−i−iii−i−iii11-1-1-1-111-1-11-1−ii−ii1-11111-1-1-1-111-1-1−i−iii−i−iiii−ii−i-11-11ii−i−i11-1-1−i−iii−i−iiii−i-11-11i−ii−i-11-11
χ301-1-111−ii−ii1-111-1-11-1-111-1-1−ii−ii1-111−i−iii−i−iii11-1-1-1-111-1-11-1−ii−ii1-11111-1-1-1-111-1-1−i−iii−i−iii−ii−ii1-11-1−i−iii11-1-1−i−iii−i−iii−ii1-11-1−ii−ii1-11-1
χ311-1-111−ii−ii1-111-1-11-1-111-1-1−ii−ii1-111−i−iii−i−iii11-1-1-1-111-1-1-11i−ii−i-11-1-1-1-1111111-1-1−i−iii−i−iiii−ii−i-11-11ii−i−i-1-111ii−i−iii−i−ii−i-11-11−ii−ii1-11-1
χ321-1-111−ii−ii1-111-1-11-1-111-1-1−ii−ii1-111−i−iii−i−iii11-1-1-1-111-1-1-11i−ii−i-11-1-1-1-1111111-1-1−i−iii−i−iii−ii−ii1-11-1−i−iii-1-111ii−i−iii−i−i−ii1-11-1i−ii−i-11-11
χ3322222222222−1−52−1+52222−1−52−1+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+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+52000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000
χ3422222222222−1−52−1+52222−1−52−1+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+52-2-2-2-2-2-2-2-21+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+520000000000001+521−521+521−521+521−521+521−521+521−521+521−5200000000000000
χ3522222222222−1+52−1−52222−1+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+52−1−5222222222−1+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+52−1−52000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000
χ3622222222222−1+52−1−52222−1+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+52−1−52-2-2-2-2-2-2-2-21−521−521+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+52−1−520000000000001−521+521−521+521−521+521−521+521−521+521−521+5200000000000000
χ372222222-2-2-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+522222-2-2-2-21+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000000000000
χ382222222-2-2-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+5200000000000000
χ392222222-2-2-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-2-21−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000
χ402222222-2-2-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+520000000000001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000
χ4122222-2-222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-2−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+5222-2-222-2-21+521+521−521−521+521+521−521−521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52000000000000−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+5200000000000000
χ4222222-2-222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-2−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000001+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−5200000000000000
χ4322222-2-222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-2−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−5222-2-222-2-21−521−521+521+521−521−521+521+521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000000−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000
χ4422222-2-222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-2−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−520000000000001−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000
χ4522222-2-2-2-222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-222−1−52−1−52−1+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+521−52000000000000−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−5200000000000000
χ4622222-2-2-2-222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22222-2-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−520000000000001+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000
χ4722222-2-2-2-222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-222−1+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+52000000000000−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+5200000000000000
χ4822222-2-2-2-222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22222-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+520000000000001−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000
χ492222-122222222-1-1-1222222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1000000000000-1-1-1-1-1-100000000
χ502222-122222222-1-1-1222222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111100000000000011111100000000
χ512222-122-2-2-2-222-1-1-1222222-1-11111-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-100000000000000001111-1-1-1-1111122-2-222-2-21111000000000000-1-1-1-11100000000
χ522222-122-2-2-2-222-1-1-1222222-1-11111-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-100000000000000001111-1-1-1-11111-2-222-2-222-1-1-1-10000000000001111-1-100000000
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χ1138-88-8-4000000−2−25−2+25-4442+252−252+252−25−2−25−2+250000001+51−50000000000001+51−5−1−5−1+5−1−5−1+5000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4000000−2+25−2−25-4442−252+252−252+25−2+25−2−250000001−51+50000000000001−51+5−1+5−1−5−1+5−1−5000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.