Finite Group Databasebeta

← Group #14412767

Character table — Group #14412767

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size111122222222222222222244444444444444444444444444444444444444888888888888888888888888888888888888121212121212121220202020202020202424242424242424242424242424242430303030303030303030303040404040404040406060
order1222223444455666101010101010668888101010101212121215152020202020202020303030303030606060606060606024242424303030304040404040404040606060601201201201201201201201201201201201201201201201204444444422444444202020202020202020202020202020202222444488886612121212121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ6111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ7111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1
χ8111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ91111-1-111-1-1111111111111-1-111-1-1-1-1-1-11-1-111111-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-111-1-1-1-1
χ101111-1-111-1-1111111111111-1-111-1-1-1-1-1-11-1-111111-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-11111
χ111111-1-111-1-1111111111111-1-111-1-1-1-1-1-11-1-111111-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-1-111
χ121111-1-111-1-1111111111111-1-111-1-1-1-1-1-11-1-111111-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-111-1-111-1-1
χ131111-1-111-1-1111111111111-1-1-1-111-1-1-1-11-1-111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-111-1-1
χ141111-1-111-1-1111111111111-1-1-1-111-1-1-1-11-1-111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-111
χ151111-1-111-1-1111111111111-1-1-1-111-1-1-1-11-1-111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-11111
χ161111-1-111-1-1111111111111-1-1-1-111-1-1-1-11-1-111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1
χ171-1-111-1111-1-111-11-1-1-1-1-1111-1i−ii−i11-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1i−ii−i11-1-1ii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−i1-11-11-1i−ii−i1-1ii−i−iii−i−i11-1-111-1-11-11-11-11-1ii−i−i1-11-1i−ii−ii−i
χ181-1-111-1111-1-111-11-1-1-1-1-1111-1i−ii−i11-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1i−ii−i11-1-1ii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−i1-11-1-11−ii−ii-11ii−i−iii−i−i11-1-111-1-1-11-11-11-11−i−iii-11-11−ii−ii−ii
χ191-1-111-1111-1-111-11-1-1-1-1-1111-1i−ii−i11-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1i−ii−i11-1-1ii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i−ii−ii-11-111-1i−ii−i1-1−i−iii−i−iii-1-111-1-111-11-11-11-11−i−iii1-11-1i−ii−i−ii
χ201-1-111-1111-1-111-11-1-1-1-1-1111-1i−ii−i11-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1i−ii−i11-1-1ii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i−ii−ii-11-11-11−ii−ii-11−i−iii−i−iii-1-111-1-1111-11-11-11-1ii−i−i-11-11−ii−iii−i
χ211-1-111-1111-1-111-11-1-1-1-1-1111-1−ii−ii11-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1−ii−ii11-1-1−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiiii−ii−i-11-111-1−ii−ii1-1ii−i−iii−i−i-1-111-1-111-11-11-11-11ii−i−i1-11-1−ii−iii−i
χ221-1-111-1111-1-111-11-1-1-1-1-1111-1−ii−ii11-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1−ii−ii11-1-1−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiiii−ii−i-11-11-11i−ii−i-11ii−i−iii−i−i-1-111-1-1111-11-11-11-1−i−iii-11-11i−ii−i−ii
χ231-1-111-1111-1-111-11-1-1-1-1-1111-1−ii−ii11-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1−ii−ii11-1-1−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii1-11-11-1−ii−ii1-1−i−iii−i−iii11-1-111-1-11-11-11-11-1−i−iii1-11-1−ii−ii−ii
χ241-1-111-1111-1-111-11-1-1-1-1-1111-1−ii−ii11-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1−ii−ii11-1-1−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii1-11-1-11i−ii−i-11−i−iii−i−iii11-1-111-1-1-11-11-11-11ii−i−i-11-11i−ii−ii−i
χ251-1-11-1111-11-111-11-1-1-1-1-111-11i−i−ii-1-1111-11-11111-1-111-1-1-1-1-1-1111111-1-1-1-1i−i−ii-1-111ii−i−i−i−iii-1-111iiii−i−i−i−i−i−i−i−iiiiii−i−ii1-1-111-1i−i−ii-11ii−i−i−i−iii11-1-1-1-1111-1-111-1-11ii−i−i1-1-11i−i−ii−ii
χ261-1-11-1111-11-111-11-1-1-1-1-111-11i−i−ii-1-1111-11-11111-1-111-1-1-1-1-1-1111111-1-1-1-1i−i−ii-1-111ii−i−i−i−iii-1-111iiii−i−i−i−i−i−i−i−iiiiii−i−ii1-1-11-11−iii−i1-1ii−i−i−i−iii11-1-1-1-111-111-1-111-1−i−iii-111-1−iii−ii−i
χ271-1-11-1111-11-111-11-1-1-1-1-111-11i−i−ii-1-1111-11-11111-1-111-1-1-1-1-1-1111111-1-1-1-1i−i−ii-1-111ii−i−i−i−iii-1-111iiii−i−i−i−i−i−i−i−iiiii−iii−i-111-11-1i−i−ii-11−i−iiiii−i−i-1-11111-1-1-111-1-111-1−i−iii1-1-11i−i−iii−i
χ281-1-11-1111-11-111-11-1-1-1-1-111-11i−i−ii-1-1111-11-11111-1-111-1-1-1-1-1-1111111-1-1-1-1i−i−ii-1-111ii−i−i−i−iii-1-111iiii−i−i−i−i−i−i−i−iiiii−iii−i-111-1-11−iii−i1-1−i−iiiii−i−i-1-11111-1-11-1-111-1-11ii−i−i-111-1−iii−i−ii
χ291-1-11-1111-11-111-11-1-1-1-1-111-11−iii−i-1-1111-11-11111-1-111-1-1-1-1-1-1111111-1-1-1-1−iii−i-1-111−i−iiiii−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−ii−i−ii-111-11-1−iii−i-11ii−i−i−i−iii-1-11111-1-1-111-1-111-1ii−i−i1-1-11−iii−i−ii
χ301-1-11-1111-11-111-11-1-1-1-1-111-11−iii−i-1-1111-11-11111-1-111-1-1-1-1-1-1111111-1-1-1-1−iii−i-1-111−i−iiiii−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−ii−i−ii-111-1-11i−i−ii1-1ii−i−i−i−iii-1-11111-1-11-1-111-1-11−i−iii-111-1i−i−iii−i
χ311-1-11-1111-11-111-11-1-1-1-1-111-11−iii−i-1-1111-11-11111-1-111-1-1-1-1-1-1111111-1-1-1-1−iii−i-1-111−i−iiiii−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−i−iii−i1-1-111-1−iii−i-11−i−iiiii−i−i11-1-1-1-1111-1-111-1-11−i−iii1-1-11−iii−ii−i
χ321-1-11-1111-11-111-11-1-1-1-1-111-11−iii−i-1-1111-11-11111-1-111-1-1-1-1-1-1111111-1-1-1-1−iii−i-1-111−i−iiiii−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−i−iii−i1-1-11-11i−i−ii1-1−i−iiiii−i−i11-1-1-1-111-111-1-111-1ii−i−i-111-1i−i−ii−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+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+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+520000000000000000000000
χ3422222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+521−520000000000000000000000
χ3522222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+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+521−520000000000000000000000
χ3622222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+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+520000000000000000000000
χ3722222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−520000000000000000000000
χ3822222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+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+520000000000000000000000
χ3922222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+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+520000000000000000000000
χ4022222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+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+52−1−520000000000000000000000
χ412222222-2-2-2-2222222222222200002222-2-2-2-222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-20000222200000000-2-2-2-200000000000000000000000000000000000000000000000022-2-2-2-22200000000000000
χ422222222-2-2-2-2222222222222200002222-2-2-2-222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-20000222200000000-2-2-2-2000000000000000000000000000000000000000000000000-2-22222-2-200000000000000
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χ1468-88-800-400008844-4-88-88-8-800000000000000-4-4000000004-44-44400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1478-88-800-40000−2−25−2+2544-42+25−2−252−25−2+252+252−25000000000000001+51−500000000−1−51+5−1+51−5−1−5−1+52ζ22+2ζ38−2ζ62−2ζ118−2ζ22−2ζ38+2ζ62+2ζ118−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ94−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ1182ζ14+2ζ46−2ζ86−2ζ94−2ζ14−2ζ46+2ζ86+2ζ94000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1488-88-800-40000−2−25−2+2544-42+25−2−252−25−2+252+252−25000000000000001+51−500000000−1−51+5−1+51−5−1−5−1+5−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ1182ζ14+2ζ46−2ζ86−2ζ94−2ζ14−2ζ46+2ζ86+2ζ942ζ22+2ζ38−2ζ62−2ζ118−2ζ22−2ζ38+2ζ62+2ζ118−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ94000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1498-88-800-40000−2+25−2−2544-42−25−2+252+25−2−252−252+25000000000000001−51+500000000−1+51−5−1−51+5−1+5−1−5−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ94−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ1182ζ14+2ζ46−2ζ86−2ζ94−2ζ14−2ζ46+2ζ86+2ζ942ζ22+2ζ38−2ζ62−2ζ118−2ζ22−2ζ38+2ζ62+2ζ118000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1508-88-800-40000−2+25−2−2544-42−25−2+252+25−2−252−252+25000000000000001−51+500000000−1+51−5−1−51+5−1+5−1−52ζ14+2ζ46−2ζ86−2ζ94−2ζ14−2ζ46+2ζ86+2ζ942ζ22+2ζ38−2ζ62−2ζ118−2ζ22−2ζ38+2ζ62+2ζ118−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ94−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ118000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.