Finite Group Databasebeta

← Group #12005397

Character table — Group #12005397

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size111111112222222222222222222222222222444444444444444444444444444444448888888888888888888888888888888888888888888888888888888810101010101010102020202020202020202020204040404040404040
order1222444422222244444455101010101010202020202020202088888888101010101010101010101010202020202020202020202020888888884040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040408888888844444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ91111-1-1-1-111-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1-1111111-1-1-1-111ii−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1
χ101111-1-1-1-111-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1-1111111-1-1-1-111ii−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-111−i−iii-1-111
χ111111-1-1-1-111-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1-1111111-1-1-1-111−i−iii-1-111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i11-1-1−i−iii-1-111
χ121111-1-1-1-111-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1-1111111-1-1-1-111−i−iii-1-111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−i−i−iiiii-1-111ii−i−i11-1-1
χ131111-1-1-1-111-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1-1111111-1-1-1-111ii−i−i-1-111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiii11-1-1ii−i−i-1-111
χ141111-1-1-1-111-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1-1111111-1-1-1-111ii−i−i-1-111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111-1-1-1-11111iiii−i−i−i−i-1-111−i−iii11-1-1
χ151111-1-1-1-111-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1-1111111-1-1-1-111−i−iii11-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii11-1-1
χ161111-1-1-1-111-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1-1111111-1-1-1-111−i−iii11-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i-1-111
χ171-1-1111-1-11-11-1-1111-1-11-111-1-1-1-1111111-1-1-1-1ii−i−iii−i−i11-1-11111-1-1-1-11111-1-111-1-1-1-11-11-1i−ii−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i11-1-111-1-1i−ii−ii−ii−i1-11-1
χ181-1-1111-1-11-11-1-1111-1-11-111-1-1-1-1111111-1-1-1-1ii−i−iii−i−i11-1-11111-1-1-1-11111-1-111-1-1-1-11-11-1i−ii−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii-1-111-1-111−ii−ii−ii−ii-11-11
χ191-1-1111-1-11-11-1-1111-1-11-111-1-1-1-1111111-1-1-1-1ii−i−iii−i−i11-1-11111-1-1-1-11111-1-111-1-1-1-1-11-11−ii−iiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i11-1-111-1-1i−ii−i−ii−ii-11-11
χ201-1-1111-1-11-11-1-1111-1-11-111-1-1-1-1111111-1-1-1-1ii−i−iii−i−i11-1-11111-1-1-1-11111-1-111-1-1-1-1-11-11−ii−iiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii-1-111-1-111−ii−iii−ii−i1-11-1
χ211-1-1111-1-11-11-1-1111-1-11-111-1-1-1-1111111-1-1-1-1−i−iii−i−iii11-1-11111-1-1-1-11111-1-111-1-1-1-11-11-1−ii−ii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-1-111-1-111i−ii−ii−ii−i-11-11
χ221-1-1111-1-11-11-1-1111-1-11-111-1-1-1-1111111-1-1-1-1−i−iii−i−iii11-1-11111-1-1-1-11111-1-111-1-1-1-11-11-1−ii−ii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii11-1-111-1-1−ii−ii−ii−ii1-11-1
χ231-1-1111-1-11-11-1-1111-1-11-111-1-1-1-1111111-1-1-1-1−i−iii−i−iii11-1-11111-1-1-1-11111-1-111-1-1-1-1-11-11i−ii−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i-1-111-1-111i−ii−i−ii−ii1-11-1
χ241-1-1111-1-11-11-1-1111-1-11-111-1-1-1-1111111-1-1-1-1−i−iii−i−iii11-1-11111-1-1-1-11111-1-111-1-1-1-1-11-11i−ii−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii11-1-111-1-1−ii−iii−ii−i-11-11
χ251-1-11-1-1111-1-111-11-11-11-111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1i−i−ii−iii−i1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii−i−iiiii−i−ii−i−ii-111-1-111-1
χ261-1-11-1-1111-1-111-11-11-11-111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1i−i−ii−iii−i1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−iii−i−i−i−iii−iii−i1-1-111-1-11
χ271-1-11-1-1111-1-111-11-11-11-111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1−iii−ii−i−ii1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii−i−iiiii−i−ii−i−ii1-1-111-1-11
χ281-1-11-1-1111-1-111-11-11-11-111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1−iii−ii−i−ii1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−iii−i−i−i−iii−iii−i-111-1-111-1
χ291-1-11-1-1111-1-111-11-11-11-111-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1i−i−iii−i−ii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iiiii−i−i−i−iiii−i−ii-111-11-1-11
χ301-1-11-1-1111-1-111-11-11-11-111-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1i−i−iii−i−ii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i−i−iiiii−i−i−iii−i1-1-11-111-1
χ311-1-11-1-1111-1-111-11-11-11-111-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1−iii−i−iii−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iiiii−i−i−i−iiii−i−ii1-1-11-111-1
χ321-1-11-1-1111-1-111-11-11-11-111-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1−iii−i−iii−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i−i−iiiii−i−i−iii−i-111-11-1-11
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+52−1−5222222222−1+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+52−1−52−1−520000000000000000000000000000
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+52−1−52-2-2-2-2-2-2-2-2−1+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+52−1−52−1−521−521−521+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+520000000000000000000000000000
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+52−1−522222-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+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+520000000000000000000000000000
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+52−1−52-2-2-2-222221−521−521+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000000000
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+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+520000000000000000000000000000
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+52-2-2-2-2-2-2-2-2−1−52−1−52−1+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+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+521−521−520000000000000000000000000000
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+522222-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+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+521−521−520000000000000000000000000000
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χ14588-8-88i−8i8i−8i000000000000−2+25−2−25−2+252−25−2−252+252−252+25−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ1400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.