Finite Group Databasebeta

← Group #12106970

Character table — Group #12106970

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size1111111122222222222222222222222244444444444444444444444444888888888888888888888888888888888888888888881010101010101010101010101616161616161616202020202020202020204040404040404040
order1222222244444444551010101010101010101010101010444444444420202020202020202020202020202020444488882020202020202020202020202020202020202020404040404040404040404040404040404444444444442020202020202020444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ1011111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-111-1-111
χ1111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111
χ1211111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-111-1-1
χ1311111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ1411111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1
χ1511111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1
χ1611111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-111
χ17111-11-1-1-111-1-11-11-111-1-1-1-1-1-1-1-111111111-1-11-111-1-11111-1-1-1-111-1-1-1-1111-11-11-11-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−i11-1-111-1-1i−iii−i−iii−i−ii−ii−ii−ii−i
χ18111-11-1-1-111-1-11-11-111-1-1-1-1-1-1-1-111111111-1-11-111-1-11111-1-1-1-111-1-1-1-1111-11-11-11-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii11-1-111-1-1−ii−i−iii−i−iii−ii−ii−ii−ii
χ19111-11-1-1-111-1-11-11-111-1-1-1-1-1-1-1-111111111-1-11-111-1-11111-1-1-1-111-1-1-1-111-11-11-11-111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−iii−i−iii−i−i-1-111-1-111i−iii−i−iii−i−i−ii−ii−ii−ii
χ20111-11-1-1-111-1-11-11-111-1-1-1-1-1-1-1-111111111-1-11-111-1-11111-1-1-1-111-1-1-1-111-11-11-11-111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii−i−iii−i−iii-1-111-1-111−ii−i−iii−i−iiii−ii−ii−ii−i
χ21111-11-1-1-111-1-11-11-111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1111111-1-1-1-111-1-1-1-1111-11-1-11-11-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−iii−i−iii−i−i11-1-111-1-1i−i−i−iii−i−iiii−ii−i−ii−ii
χ22111-11-1-1-111-1-11-11-111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1111111-1-1-1-111-1-1-1-1111-11-1-11-11-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−iii−i−iii−i−iii11-1-111-1-1−iiii−i−iii−i−i−ii−iii−ii−i
χ23111-11-1-1-111-1-11-11-111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1111111-1-1-1-111-1-1-1-111-11-111-11-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−i-1-111-1-111i−i−i−iii−i−iii−ii−iii−ii−i
χ24111-11-1-1-111-1-11-11-111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1111111-1-1-1-111-1-1-1-111-11-111-11-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii-1-111-1-111−iiii−i−iii−i−ii−ii−i−ii−ii
χ25111-11-1-1-1-1-1111-11-111-1-1-1-1-1-1-1-111111111-1-1-11-1-111-1-1-1-1111111-1-1-1-1111-1-111-1-111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111ii−i−iii−i−i−i−iii11-1-1-1-111−iiii−i−i−i−iiii−i−iii−i−ii
χ26111-11-1-1-1-1-1111-11-111-1-1-1-1-1-1-1-111111111-1-1-11-1-111-1-1-1-1111111-1-1-1-1111-1-111-1-111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−iii−i−iiiii−i−i11-1-1-1-111i−i−i−iiiii−i−i−iii−i−iii−i
χ27111-11-1-1-1-1-1111-11-111-1-1-1-1-1-1-1-111111111-1-1-11-1-111-1-1-1-1111111-1-1-1-111-111-1-111-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−iii−i−i−i−iii-1-11111-1-1−iiii−i−i−i−iii−iii−i−iii−i
χ28111-11-1-1-1-1-1111-11-111-1-1-1-1-1-1-1-111111111-1-1-11-1-111-1-1-1-1111111-1-1-1-111-111-1-111-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iii−i−iiiii−i−i-1-11111-1-1i−i−i−iiiii−i−ii−i−iii−i−ii
χ29111-11-1-1-1-1-1111-11-111-1-1-1-1-1-1-1-1111111-1-111-1111-1-1-1-1-1-1111111-1-1-1-1111-1-11-111-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1ii−i−iii−i−i−i−iii11-1-1-1-111−ii−i−iiiii−i−ii−i−ii−iii−i
χ30111-11-1-1-1-1-1111-11-111-1-1-1-1-1-1-1-1111111-1-111-1111-1-1-1-1-1-1111111-1-1-1-1111-1-11-111-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−iii−i−iiiii−i−i11-1-1-1-111i−iii−i−i−i−iii−iii−ii−i−ii
χ31111-11-1-1-1-1-1111-11-111-1-1-1-1-1-1-1-1111111-1-111-1111-1-1-1-1-1-1111111-1-1-1-111-111-11-1-11-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−iii−i−i−i−iii-1-11111-1-1−ii−i−iiiii−i−i−iii−ii−i−ii
χ32111-11-1-1-1-1-1111-11-111-1-1-1-1-1-1-1-1111111-1-111-1111-1-1-1-1-1-1111111-1-1-1-111-111-11-1-11-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−iii−i−iiiii−i−i-1-11111-1-1i−iii−i−i−i−iiii−i−ii−iii−i
χ332222222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222222222−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ342222222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222222222−1+52−1+52−1−52−1−52−1+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+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000001−521+521−521+521−521+521−521+52000000000000000000
χ352222222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222-2-2-2-2−1+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+52−1−522222-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ362222222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222-2-2-2-2−1+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+52−1−52-2-2-2-222221−521−521+521+521−521−521+521+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+52−1−52−1−52−1+52−1+52−1−52−1−520000000000001−521+521−521+521−521+521−521+52000000000000000000
χ372222222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222222222−1−52−1−52−1+52−1+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+52000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ382222222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+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+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000001+521−521+521−521+521−521+521−52000000000000000000
χ392222222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222-2-2-2-2−1−52−1−52−1+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+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+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ402222222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222-2-2-2-2−1−52−1−52−1+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+52-2-2-2-222221+521+521−521−521+521+521−521−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000001+521−521+521−521+521−521+521−52000000000000000000
χ41222222222222-2-2-2-222222222222222220000-2-2000022222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-20000000000000000000000002222-2-2-2-2222200000000-2-20000000000000000
χ42222222222222-2-2-2-222222222222222220000-2-2000022222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2000000000000000000000000-2-2-2-22222-2-2-2-200000000220000000000000000
χ4322222222-2-2-2-22222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-222-2-2−1+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000
χ4422222222-2-2-2-22222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000001−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000
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χ1294-44-4-4-4440000-444-4−1+5−1−51−51−5−1+5−1+51+51+5−1−5−1−51−51+5−1+5−1−51−51+50000004i−4i−4i4i000000001−51+5−1+51−5−1−51+5−1+5−1−500000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000000000000000000000000000
χ1304-44-4-4-4440000-444-4−1+5−1−51−51−5−1+5−1+51+51+5−1−5−1−51−51+5−1+5−1−51−51+5000000−4i4i4i−4i000000001−51+5−1+51−5−1−51+5−1+5−1−5000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000000000000000000000000000
χ1314-44-4-4-4440000-444-4−1−5−1+51+51+5−1−5−1−51−51−5−1+5−1+51+51−5−1−5−1+51+51−50000004i−4i−4i4i000000001+51−5−1−51+5−1+51−5−1−5−1+500000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000000000000000000000000
χ1324-44-4-4-4440000-444-4−1−5−1+51+51+5−1−5−1−51−51−5−1+5−1+51+51−5−1−5−1+51+51−5000000−4i4i4i−4i000000001+51−5−1−51+5−1+51−5−1−5−1+5000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000000000000000000000
χ1334-4-444-44-400000000444-4-444-4-44-4-4-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000004i−4i4i−4i00000000000000000000000000
χ1344-4-444-44-400000000444-4-444-4-44-4-4-4-444000000000000000000000000000000000000000000000000000000000000000000000000000000−4i4i−4i4i00000000000000000000000000
χ1354-4-4-444-440000000044-444-4-444-4-4-4-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000004-4-4400000000000000000000000000
χ1364-4-4-444-440000000044-444-4-444-4-4-4-4-444000000000000000000000000000000000000000000000000000000000000000000000000000000-444-400000000000000000000000000
χ1378-8-888-88-800000000−2+25−2−25−2+252−252−25−2+25−2−252+252+25−2−252−252+252−252+25−2+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-8-888-88-800000000−2−25−2+25−2−252+252+25−2−25−2+252−252−25−2+252+252−252+252−25−2−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1398-8-8-888-8800000000−2+25−2−252−25−2+25−2+252−252+25−2−25−2−252+252−252+252−252+25−2+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1408-8-8-888-8800000000−2−25−2+252+25−2−25−2−252+252−25−2+25−2+252−252+252−252+252−25−2−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.