Finite Group Databasebeta

← Group #11753407

Character table — Group #11753407

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222222224444444444444444444444444466666666666666668888888888881010101010101010101010101212121212121212121212122020202020203030303030303030
order12223444444556661010101010101212121212121515202020202020202020202020303030303030222244442020202020202020606060606060606060606060444444441212121210101010101010102020202012121212121222444444
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
χ51111111-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ61111111-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1
χ71111111-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ81111111-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111
χ911111-1-111-1-11111111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-11111-1-1
χ1011111-1-111-1-11111111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-111
χ1111111-1-111-1-11111111111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-111
χ1211111-1-111-1-11111111111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1
χ1311111-1-1-1-11111111111111-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1
χ1411111-1-1-1-11111111111111-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ1511111-1-1-1-11111111111111-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-111
χ1611111-1-1-1-11111111111111-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1
χ171-11-111-1i−ii−i11-1-1111-1-1-1-1i−ii−i1-11111-1-1ii−i−iii−i−i-1-111-1-11-11-1i−ii−iiiii−i−i−i−i11-1-1ii−i−iii−i−ii−i1-11-1i−iii−i−i11-1-111-1-1ii−i−ii−i1-11-11-11-1i−ii−i
χ181-11-111-1i−ii−i11-1-1111-1-1-1-1i−ii−i1-11111-1-1ii−i−iii−i−i-1-111-1-11-11-1i−ii−iiiii−i−i−i−i11-1-1ii−i−iii−i−i−ii-11-11−ii−i−iii11-1-111-1-1ii−i−i−ii-11-11-11-11−ii−ii
χ191-11-111-1i−ii−i11-1-1111-1-1-1-1i−ii−i1-11111-1-1ii−i−iii−i−i-1-111-1-1-11-11−ii−ii−i−i−i−iiiii11-1-1ii−i−iii−i−ii−i1-11-1i−iii−i−i-1-111-1-111−i−iiii−i1-11-1-11-11−ii−ii
χ201-11-111-1i−ii−i11-1-1111-1-1-1-1i−ii−i1-11111-1-1ii−i−iii−i−i-1-111-1-1-11-11−ii−ii−i−i−i−iiiii11-1-1ii−i−iii−i−i−ii-11-11−ii−i−iii-1-111-1-111−i−iii−ii-11-111-11-1i−ii−i
χ211-11-111-1−ii−ii11-1-1111-1-1-1-1−ii−ii1-11111-1-1−i−iii−i−iii-1-111-1-11-11-1−ii−ii−i−i−i−iiiii11-1-1−i−iii−i−iiii−i-11-11i−iii−i−i11-1-111-1-1−i−iiii−i-11-11-11-11i−ii−i
χ221-11-111-1−ii−ii11-1-1111-1-1-1-1−ii−ii1-11111-1-1−i−iii−i−iii-1-111-1-11-11-1−ii−ii−i−i−i−iiiii11-1-1−i−iii−i−iii−ii1-11-1−ii−i−iii11-1-111-1-1−i−iii−ii1-11-11-11-1−ii−ii
χ231-11-111-1−ii−ii11-1-1111-1-1-1-1−ii−ii1-11111-1-1−i−iii−i−iii-1-111-1-1-11-11i−ii−iiiii−i−i−i−i11-1-1−i−iii−i−iiii−i-11-11i−iii−i−i-1-111-1-111ii−i−ii−i-11-111-11-1−ii−ii
χ241-11-111-1−ii−ii11-1-1111-1-1-1-1−ii−ii1-11111-1-1−i−iii−i−iii-1-111-1-1-11-11i−ii−iiiii−i−i−i−i11-1-1−i−iii−i−iii−ii1-11-1−ii−i−iii-1-111-1-111ii−i−i−ii1-11-1-11-11i−ii−i
χ251-11-11-11i−i−ii11-1-1111-1-1-1-1i−i−ii-1111-1-111ii−i−i−i−iii-1-111-1-11-1-11i−i−ii−i−i−i−iiiii-1-111ii−i−i−i−iiii−i1-1-11−iiii−i−i11-1-1-1-111ii−i−i−ii1-1-11-111-1i−i−ii
χ261-11-11-11i−i−ii11-1-1111-1-1-1-1i−i−ii-1111-1-111ii−i−i−i−iii-1-111-1-11-1-11i−i−ii−i−i−i−iiiii-1-111ii−i−i−i−iii−ii-111-1i−i−i−iii11-1-1-1-111ii−i−ii−i-111-11-1-11−iii−i
χ271-11-11-11i−i−ii11-1-1111-1-1-1-1i−i−ii-1111-1-111ii−i−i−i−iii-1-111-1-1-111-1−iii−iiiii−i−i−i−i-1-111ii−i−i−i−iiii−i1-1-11−iiii−i−i-1-11111-1-1−i−iii−ii1-1-111-1-11−iii−i
χ281-11-11-11i−i−ii11-1-1111-1-1-1-1i−i−ii-1111-1-111ii−i−i−i−iii-1-111-1-1-111-1−iii−iiiii−i−i−i−i-1-111ii−i−i−i−iii−ii-111-1i−i−i−iii-1-11111-1-1−i−iiii−i-111-1-111-1i−i−ii
χ291-11-11-11−iii−i11-1-1111-1-1-1-1−iii−i-1111-1-111−i−iiiii−i−i-1-111-1-11-1-11−iii−iiiii−i−i−i−i-1-111−i−iiiii−i−ii−i-111-1−iiii−i−i11-1-1-1-111−i−iii−ii-111-11-1-11i−i−ii
χ301-11-11-11−iii−i11-1-1111-1-1-1-1−iii−i-1111-1-111−i−iiiii−i−i-1-111-1-11-1-11−iii−iiiii−i−i−i−i-1-111−i−iiiii−i−i−ii1-1-11i−i−i−iii11-1-1-1-111−i−iiii−i1-1-11-111-1−iii−i
χ311-11-11-11−iii−i11-1-1111-1-1-1-1−iii−i-1111-1-111−i−iiiii−i−i-1-111-1-1-111-1i−i−ii−i−i−i−iiiii-1-111−i−iiiii−i−ii−i-111-1−iiii−i−i-1-11111-1-1ii−i−i−ii-111-1-111-1−iii−i
χ321-11-11-11−iii−i11-1-1111-1-1-1-1−iii−i-1111-1-111−i−iiiii−i−i-1-111-1-1-111-1i−i−ii−i−i−i−iiiii-1-111−i−iiiii−i−i−ii1-1-11i−i−i−iii-1-11111-1-1ii−i−ii−i1-1-111-1-11i−i−ii
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+52-2-2-2-222−1−52−1+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+521−521−52−1−52−1+52−1−52−1+521+521−521+521−521+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+52-2-2-2-222−1−52−1+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+52−1−52−1+52−1−52−1+521+521−521+521−521+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+52−1−52-2-2-2-222−1+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+52−1+52−1−52−1+52−1−521−521+521−521+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+52−1−52-2-2-2-222−1+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+52−1−52−1−52−1+52−1−52−1+52−1−521−521+521−521+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+5222-2-2-2-2−1−52−1+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+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000−1−52−1+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+5222-2-2-2-2−1−52−1+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+521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000001+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+52−1−5222-2-2-2-2−1+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+52−1+52−1−52−1+52−1−521−521+521−521+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+52−1−5222-2-2-2-2−1+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+52−1+52−1−52−1+52−1−521−521+521−521+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+52-2-222-2-2−1−52−1+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+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+521−521+521−521+521−5200000000000000
χ4622222-2-2-2-222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-2−1−52−1+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+521−521−521+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+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+52−1−52-2-222-2-2−1+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+52−1−52−1−521−521+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+521−521+521−521+5200000000000000
χ4822222-2-2-2-222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-2−1+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+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+52−1−52−1+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
χ512222-122-2-2-2-222-1-1-12222221111-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000000000000-1-1-1-11111111122-2-2-2-222-1-1-1-1000000000000-1-1111100000000
χ522222-122-2-2-2-222-1-1-12222221111-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000000000000-1-1-1-111111111-2-22222-2-2111100000000000011-1-1-1-100000000
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χ1044-4-44400000044-44-4-4-4-4-44400000044000000000000-4-4-4-444000000000000000000000000000000000000000000000000000000000000000000
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χ1138-8-88-4000000−2−25−2+254-442+252−252+252−25−2−25−2+250000001+51−5000000000000−1−5−1+5−1−5−1+51+51−5000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4000000−2+25−2−254-442−252+252−252+25−2+25−2−250000001−51+5000000000000−1+5−1−5−1+5−1−51−51+5000000000000000000000000000000000000000000000000000000000000000000

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