Finite Group Databasebeta

← Group #12110485

Character table — Group #12110485

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444888888881010101010101010161616161616161616161616161616162020202020202020202020204040404040404040
order1222222244444444444455101010101010101010101010101088888888202020202020202020202020202020202020202020202020404040404040404040404040404040404040404040404040404040404040404022444444444444441010101020202020202020202020202022448888888822444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-111-1-111
χ911111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1
χ1011111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111
χ1111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-111
χ1211111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1
χ1311111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1
χ1411111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111
χ1511111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ1611111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ17111-1-1-1-11ii−i−iii−i−i1-11-11111-1-111-1-111-1-1-1-111-1-1ii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1i−ii−iii−i−i11-1-111-1-1ii−i−i11-1-1ii−i−i1-1i−iii−i−i11-1-11-1i−ii−i1-1
χ18111-1-1-1-11ii−i−iii−i−i1-11-11111-1-111-1-111-1-1-1-111-1-1ii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1i−ii−i−i−iii-1-11111-1-1ii−i−i11-1-1ii−i−i-11−ii−i−iii-1-111-11−ii−ii-11
χ19111-1-1-1-11ii−i−iii−i−i1-11-11111-1-111-1-111-1-1-1-111-1-1ii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11−ii−iiii−i−i11-1-1-1-111−i−iii-1-111−i−iii1-1i−iii−i−i11-1-1-11−ii−ii-11
χ20111-1-1-1-11ii−i−iii−i−i1-11-11111-1-111-1-111-1-1-1-111-1-1ii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11−ii−ii−i−iii-1-111-1-111−i−iii-1-111−i−iii-11−ii−i−iii-1-1111-1i−ii−i1-1
χ21111-1-1-1-11ii−i−iii−i−i1-11-11111-1-111-1-111-1-1-1-1-1-111−i−iii11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii1-1-11−iii−iii−i−i11-1-111-1-1ii−i−i-1-111−i−iii1-1i−i−i−iii-1-111-11i−i−ii1-1
χ22111-1-1-1-11ii−i−iii−i−i1-11-11111-1-111-1-111-1-1-1-1-1-111−i−iii11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii1-1-11−iii−i−i−iii-1-11111-1-1ii−i−i-1-111−i−iii-11−iiii−i−i11-1-11-1−iii−i-11
χ23111-1-1-1-11ii−i−iii−i−i1-11-11111-1-111-1-111-1-1-1-1-1-111−i−iii11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-111-1i−i−iiii−i−i11-1-1-1-111−i−iii11-1-1ii−i−i1-1i−i−i−iii-1-1111-1−iii−i-11
χ24111-1-1-1-11ii−i−iii−i−i1-11-11111-1-111-1-111-1-1-1-1-1-111−i−iii11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-111-1i−i−ii−i−iii-1-111-1-111−i−iii11-1-1ii−i−i-11−iiii−i−i11-1-1-11i−i−ii1-1
χ25111-1-1-1-11−i−iii−i−iii1-11-11111-1-111-1-111-1-1-1-111-1-1−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1−ii−iiii−i−i-1-11111-1-1−i−iii11-1-1−i−iii-11i−iii−i−i-1-111-11i−ii−i-11
χ26111-1-1-1-11−i−iii−i−iii1-11-11111-1-111-1-111-1-1-1-111-1-1−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1−ii−ii−i−iii11-1-111-1-1−i−iii11-1-1−i−iii1-1−ii−i−iii11-1-11-1−ii−ii1-1
χ27111-1-1-1-11−i−iii−i−iii1-11-11111-1-111-1-111-1-1-1-111-1-1−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11i−ii−iii−i−i-1-111-1-111ii−i−i-1-111ii−i−i-11i−iii−i−i-1-1111-1−ii−ii1-1
χ28111-1-1-1-11−i−iii−i−iii1-11-11111-1-111-1-111-1-1-1-111-1-1−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11i−ii−i−i−iii11-1-1-1-111ii−i−i-1-111ii−i−i1-1−ii−i−iii11-1-1-11i−ii−i-11
χ29111-1-1-1-11−i−iii−i−iii1-11-11111-1-111-1-111-1-1-1-1-1-111ii−i−i11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i1-1-11i−i−iiii−i−i-1-11111-1-1−i−iii-1-111ii−i−i-11i−i−i−iii11-1-11-1i−i−ii-11
χ30111-1-1-1-11−i−iii−i−iii1-11-11111-1-111-1-111-1-1-1-1-1-111ii−i−i11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i1-1-11i−i−ii−i−iii11-1-111-1-1−i−iii-1-111ii−i−i1-1−iiii−i−i-1-111-11−iii−i1-1
χ31111-1-1-1-11−i−iii−i−iii1-11-11111-1-111-1-111-1-1-1-1-1-111ii−i−i11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-111-1−iii−iii−i−i-1-111-1-111ii−i−i11-1-1−i−iii-11i−i−i−iii11-1-1-11−iii−i1-1
χ32111-1-1-1-11−i−iii−i−iii1-11-11111-1-111-1-111-1-1-1-1-1-111ii−i−i11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-111-1−iii−i−i−iii11-1-1-1-111ii−i−i11-1-1−i−iii1-1−iiii−i−i-1-1111-1i−i−ii-11
χ3322222222222222222222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−5200000000000000000000
χ3422222222222222222222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+5200000000000000000000
χ3522222222222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+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+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222-2-2-2-22200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+5200000000000000000000
χ3622222222222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+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+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-22222-2-2000000001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000
χ3722222222222222222222−1−52−1+52−1−52−1+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+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+5200000000000000000000
χ3822222222222222222222−1−52−1+52−1−52−1+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+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+521−5200000000000000000000
χ3922222222222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1+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+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222-2-2-2-22200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−5200000000000000000000
χ4022222222222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1+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+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-22222-2-2000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.