Finite Group Databasebeta

← Group #11754629

Character table — Group #11754629

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222222222222222222222444444444444444444444444444444444444444444446666666610101010101010101212121212121212121212121212121220202020202020203030303030303030
order1222223444455666101010101010121212122020202020202020661010101012121515202020203030303030303030303030303030606060606060606060606060606060602244444422444444101010102020202020202020202020206612121212121222224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ81111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ91111-1-1111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1
χ101111-1-1111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111
χ111111-1-1111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-111
χ121111-1-1111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-111-1-1
χ131111-1-11-1-11111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111
χ141111-1-11-1-11111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1
χ151111-1-11-1-11111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111-1-1
χ161111-1-11-1-11111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-111
χ1711-1-11-11i−ii−i111-1-111-1-1-1-1ii−i−iiiii−i−i−i−i1-111-1-1i−i11ii−i−i11-1-11111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i1-11-1i−ii−i1-11-1i−ii−i
χ1811-1-11-11i−ii−i111-1-111-1-1-1-1ii−i−iiiii−i−i−i−i1-111-1-1i−i11ii−i−i11-1-11111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−i-11-11−ii−ii11-1-111-1-1ii−i−iii−i−i-11-11−ii−ii-11-11−ii−ii
χ1911-1-11-11i−ii−i111-1-111-1-1-1-1ii−i−iiiii−i−i−i−i1-111-1-1i−i11ii−i−i11-1-11111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii1-11-1i−ii−i-1-111-1-111−i−iii−i−iii1-11-1i−ii−i-11-11−ii−ii
χ2011-1-11-11i−ii−i111-1-111-1-1-1-1ii−i−iiiii−i−i−i−i1-111-1-1i−i11ii−i−i11-1-11111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii-11-11−ii−ii-1-111-1-111−i−iii−i−iii-11-11−ii−ii1-11-1i−ii−i
χ2111-1-11-11−ii−ii111-1-111-1-1-1-1−i−iii−i−i−i−iiiii1-111-1-1−ii11−i−iii11-1-11111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii1-11-1−ii−ii1-11-1−ii−ii
χ2211-1-11-11−ii−ii111-1-111-1-1-1-1−i−iii−i−i−i−iiiii1-111-1-1−ii11−i−iii11-1-11111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii-11-11i−ii−i11-1-111-1-1−i−iii−i−iii-11-11i−ii−i-11-11i−ii−i
χ2311-1-11-11−ii−ii111-1-111-1-1-1-1−i−iii−i−i−i−iiiii1-111-1-1−ii11−i−iii11-1-11111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i1-11-1−ii−ii-1-111-1-111ii−i−iii−i−i1-11-1−ii−ii-11-11i−ii−i
χ2411-1-11-11−ii−ii111-1-111-1-1-1-1−i−iii−i−i−i−iiiii1-111-1-1−ii11−i−iii11-1-11111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i-11-11i−ii−i-1-111-1-111ii−i−iii−i−i-11-11i−ii−i1-11-1−ii−ii
χ2511-1-1-111i−i−ii111-1-111-1-1-1-1ii−i−i−i−i−i−iiiii-11-1-111−ii11ii−i−i11-1-1-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii1-1-11−iii−i1-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii1-1-11−iii−i1-1-11i−i−ii
χ2611-1-1-111i−i−ii111-1-111-1-1-1-1ii−i−i−i−i−i−iiiii-11-1-111−ii11ii−i−i11-1-1-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii1-1-11−iii−i-111-1−iii−i11-1-1-1-111ii−i−i−i−iii-111-1i−i−ii-111-1−iii−i
χ2711-1-1-111i−i−ii111-1-111-1-1-1-1ii−i−i−i−i−i−iiiii-11-1-111−ii11ii−i−i11-1-1-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-111-1i−i−ii1-1-11i−i−ii-1-11111-1-1−i−iiiii−i−i1-1-11−iii−i-111-1−iii−i
χ2811-1-1-111i−i−ii111-1-111-1-1-1-1ii−i−i−i−i−i−iiiii-11-1-111−ii11ii−i−i11-1-1-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-111-1i−i−ii-111-1−iii−i-1-11111-1-1−i−iiiii−i−i-111-1i−i−ii1-1-11i−i−ii
χ2911-1-1-111−iii−i111-1-111-1-1-1-1−i−iiiiiii−i−i−i−i-11-1-111i−i11−i−iii11-1-1-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i1-1-11i−i−ii1-1-11−iii−i11-1-1-1-111−i−iiiii−i−i1-1-11i−i−ii1-1-11−iii−i
χ3011-1-1-111−iii−i111-1-111-1-1-1-1−i−iiiiiii−i−i−i−i-11-1-111i−i11−i−iii11-1-1-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i1-1-11i−i−ii-111-1i−i−ii11-1-1-1-111−i−iiiii−i−i-111-1−iii−i-111-1i−i−ii
χ3111-1-1-111−iii−i111-1-111-1-1-1-1−i−iiiiiii−i−i−i−i-11-1-111i−i11−i−iii11-1-1-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-111-1−iii−i1-1-11−iii−i-1-11111-1-1ii−i−i−i−iii1-1-11i−i−ii-111-1i−i−ii
χ3211-1-1-111−iii−i111-1-111-1-1-1-1−i−iiiiiii−i−i−i−i-11-1-111i−i11−i−iii11-1-1-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-111-1−iii−i-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii-111-1−iii−i1-1-11−iii−i
χ3322222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222222200000000−1−52−1+52−1−52−1+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
χ3422222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-2000000001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−520000000000000000
χ3522222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+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+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222222200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
χ3622222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+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+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-2000000001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+520000000000000000
χ372222222-2-2-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-21+521+521−521−521+521+521−521−5222−1−52−1+52−1−52−1+52-2-2−1−52−1+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+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−522222-2-2-2-200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−520000000000000000
χ382222222-2-2-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-21+521+521−521−521+521+521−521−5222−1−52−1+52−1−52−1+52-2-2−1−52−1+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+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52-2-2-2-22222000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000
χ392222222-2-2-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-21−521−521+521+521−521−521+521+5222−1+52−1−52−1+52−1−52-2-2−1+52−1−521−521+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+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+522222-2-2-2-200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+520000000000000000
χ402222222-2-2-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-21−521−521+521+521−521−521+521+5222−1+52−1−52−1+52−1−52-2-2−1+52−1−521−521+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+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52-2-2-2-22222000000001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
χ41222222-1222222-1-1-1222222-1-1-1-122222222-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222222220000000000000000-1-1-1-1-1-1-1-100000000
χ42222222-1222222-1-1-1222222-1-1-1-122222222-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-200000000000000001111111100000000
χ43222222-1-2-2-2-222-1-1-12222221111-2-2-2-2-2-2-2-2-1-1222211-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000002222-2-2-2-20000000000000000-1-1-1-1111100000000
χ44222222-1-2-2-2-222-1-1-12222221111-2-2-2-2-2-2-2-2-1-1222211-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000-2-2-2-2222200000000000000001111-1-1-1-100000000
χ452222-2-2222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222221+521+521−521−521+521+521−521−52-2-21+521−521+521−52-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5222-2-2-2-22200000000−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000000000
χ462222-2-2222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222221+521+521−521−521+521+521−521−52-2-21+521−521+521−52-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-2-22222-2-2000000001+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000
χ472222-2-2222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222221−521−521+521+521−521−521+521+52-2-21−521+521−521+52-2-2−1+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+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+5222-2-2-2-22200000000−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.