Finite Group Databasebeta

← Group #12115240

Character table — Group #12115240

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size112222222222222222244444444444444444444444444488888888888888888888888888888816161616161616161616161616161616202020202020202020202020202020204040404040404040
order1222244445588101010101010888888810101010202020202020202040404040404040402244448888202020202020202040404040404040404040404010101010202020204040404040404040222222444444888844888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1
χ51111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1
χ61111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111
χ71111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1111111-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111
χ911111111111-1-1111111-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-11111-1-1111111-1-1-1-111-1-1
χ1011111111111-1-1111111-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-111
χ1111111111111-1-1111111-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1
χ1211111111111-1-1111111-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-111
χ1311111111111-1-1111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-111-1-1-1-111
χ1411111111111-1-1111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-11111-1-1
χ1511111111111-1-1111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-111
χ1611111111111-1-1111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1
χ17111-1-111-1-11111-1-1-1-1111-1-1ii−i−i11-1-11111-1-1-1-11111-1-1-1-11-11-1i−ii−ii−iiiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i11-1-11-1-1-1111-1ii−i−ii−i1-1i−ii−i
χ18111-1-111-1-11111-1-1-1-1111-1-1ii−i−i11-1-11111-1-1-1-11111-1-1-1-11-11-1i−ii−ii−iiiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i-1-111-1111-1-1-11−i−iii−ii-11−ii−ii
χ19111-1-111-1-11111-1-1-1-1111-1-1ii−i−i11-1-11111-1-1-1-11111-1-1-1-1-11-11i−i−ii−iiiiii−i−i−i−i11-1-1iiii−i−i−i−i-1-111-1-111−i−iii−i−iii11-1-1-11-1-111-11−i−iii−ii-11i−ii−i
χ20111-1-111-1-11111-1-1-1-1111-1-1ii−i−i11-1-11111-1-1-1-11111-1-1-1-1-11-11i−i−ii−iiiiii−i−i−i−i11-1-1iiii−i−i−i−i-1-111-1-111−i−iii−i−iii-1-1111-111-1-11-1ii−i−ii−i1-1−ii−ii
χ21111-1-111-1-11111-1-1-1-1111-1-1−i−iii11-1-11111-1-1-1-11111-1-1-1-11-11-1−ii−ii−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii11-1-11-1-1-1111-1−i−iii−ii1-1−ii−ii
χ22111-1-111-1-11111-1-1-1-1111-1-1−i−iii11-1-11111-1-1-1-11111-1-1-1-11-11-1−ii−ii−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii-1-111-1111-1-1-11ii−i−ii−i-11i−ii−i
χ23111-1-111-1-11111-1-1-1-1111-1-1−i−iii11-1-11111-1-1-1-11111-1-1-1-1-11-11−iii−ii−i−i−i−i−iiiii11-1-1−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i11-1-1-11-1-111-11ii−i−ii−i-11−ii−ii
χ24111-1-111-1-11111-1-1-1-1111-1-1−i−iii11-1-11111-1-1-1-11111-1-1-1-1-11-11−iii−ii−i−i−i−i−iiiii11-1-1−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i-1-1111-111-1-11-1−i−iii−ii1-1i−ii−i
χ25111-1-111-1-111-1-1-1-1-1-111-111ii−i−i11-1-11111-1-1-1-1-1-1-1-111111-1-11−iii−i−ii−i−i−i−iiiii-1-111iiii−i−i−i−i11-1-1-1-111ii−i−i−i−iii11111-1-1-1-1-11-1ii−i−i−ii-11i−i−ii
χ26111-1-111-1-111-1-1-1-1-1-111-111ii−i−i11-1-11111-1-1-1-1-1-1-1-111111-1-11−iii−i−ii−i−i−i−iiiii-1-111iiii−i−i−i−i11-1-1-1-111ii−i−i−i−iii-1-1-1-1-111111-11−i−iiii−i1-1−iii−i
χ27111-1-111-1-111-1-1-1-1-1-111-111ii−i−i11-1-11111-1-1-1-1-1-1-1-11111-111-1−ii−iii−i−i−i−i−iiiii-1-111iiii−i−i−i−i-1-11111-1-1−i−iiiii−i−i1111-11-1-1-1-1-11−i−iiii−i1-1i−i−ii
χ28111-1-111-1-111-1-1-1-1-1-111-111ii−i−i11-1-11111-1-1-1-1-1-1-1-11111-111-1−ii−iii−i−i−i−i−iiiii-1-111iiii−i−i−i−i-1-11111-1-1−i−iiiii−i−i-1-1-1-11-111111-1ii−i−i−ii-11−iii−i
χ29111-1-111-1-111-1-1-1-1-1-111-111−i−iii11-1-11111-1-1-1-1-1-1-1-111111-1-11i−i−iii−iiiii−i−i−i−i-1-111−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−i11111-1-1-1-1-11-1−i−iiii−i-11−iii−i
χ30111-1-111-1-111-1-1-1-1-1-111-111−i−iii11-1-11111-1-1-1-1-1-1-1-111111-1-11i−i−iii−iiiii−i−i−i−i-1-111−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−i-1-1-1-1-111111-11ii−i−i−ii1-1i−i−ii
χ31111-1-111-1-111-1-1-1-1-1-111-111−i−iii11-1-11111-1-1-1-1-1-1-1-11111-111-1i−ii−i−iiiiii−i−i−i−i-1-111−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iii1111-11-1-1-1-1-11ii−i−i−ii1-1−iii−i
χ32111-1-111-1-111-1-1-1-1-1-111-111−i−iii11-1-11111-1-1-1-1-1-1-1-11111-111-1i−ii−i−iiiiii−i−i−i−i-1-111−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iii-1-1-1-11-111111-1−i−iiii−i-11i−i−ii
χ33222222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ34222222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000000000
χ35222222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52222-2-2-2-2−1+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+52−1−52−1−522222-2-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52000000000000000000000000
χ36222222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52222-2-2-2-2−1+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+52−1−52−1−52-2-2-2-2-2-222221−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ37222222222−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5222-2-2-2-222-2-21−521−521+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+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ38222222222−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-2-222-2-2-2-2221−521−521+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+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ39222222222−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5222-2-222-2-222−1+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+52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ40222222222−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-2-2222222-2-2−1+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+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ41222222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000
χ42222222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000000000
χ43222222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52222-2-2-2-2−1−52−1+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+522222-2-2-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52000000000000000000000000
χ44222222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52222-2-2-2-2−1−52−1+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+52-2-2-2-2-2-222221+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000
χ45222222222−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5222-2-2-2-222-2-21+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+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000000
χ46222222222−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52-2-222-2-2-2-2221+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+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000000000
χ47222222222−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5222-2-222-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000000000
χ48222222222−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52-2-2222222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000000
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χ10344-4-44-444-4−1+5−1−5441−51−51+51+5−1+5−1−5-4-4400001−51+5−1+5−1−51−51+5−1+5−1−51−51+5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+50000000000000000001−51+5−1+5−1−5000000000000000000000000000000000000000000000000
χ10444-4-44-444-4−1+5−1−5-4-41−51−51+51+5−1+5−1−544-400001−51+5−1+5−1−51−51+5−1+5−1−51−51+5−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−5000000000000000000−1+5−1−51−51+5000000000000000000000000000000000000000000000000
χ10544-4-44-444-4−1−5−1+5441+51+51−51−5−1−5−1+5-4-4400001+51−5−1−5−1+51+51−5−1−5−1+51+51−5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−50000000000000000001+51−5−1−5−1+5000000000000000000000000000000000000000000000000
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χ1078-80000000884i2−4i20000-8-800000000000000000004i2−4i24i2−4i200000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8000000088−4i24i20000-8-80000000000000000000−4i24i2−4i24i200000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-80000000−2+25−2−254i2−4i24ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ362−252+2500000000000000000002ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ372ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ392ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ37−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ390000000000000000000000000000000000000000000000000000000000000000000000
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χ1158-80000000−2−25−2+25−4i24i2−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ282+252−250000000000000000000−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ39−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ37−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ39−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ370000000000000000000000000000000000000000000000000000000000000000000000
χ1168-80000000−2−25−2+25−4i24i24ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ282+252−250000000000000000000−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ39−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ372ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ392ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ370000000000000000000000000000000000000000000000000000000000000000000000

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