Finite Group Databasebeta

← Group #11990280

Character table — Group #11990280

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size1111111122222222222222222222222244444444444444444444444444888888888888888888888888888888888888888888881010101010101010101010101616161616161616202020202020202020204040404040404040
order1222222244444444551010101010101010101010101010448888888820202020202020202020202020202020444488882020202040404040404040404040404040404040404040404040404040404040404040404444444444442020202020202020448888888844448888
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
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-11111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-1111111111111111111iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−i1111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-11111-1-1-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i
χ1011111111-1-1-1-1-1-1-1-1111111111111111111iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−i1111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111-1-1-1-111−i−i−i−iiiii-1-111−i−iii
χ1111111111-1-1-1-1-1-1-1-1111111111111111111iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iii1111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-11111-1-1iiii−i−i−i−i-1-111−i−iii
χ1211111111-1-1-1-1-1-1-1-1111111111111111111iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iii1111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-11111-1-1-1-1111111−i−i−i−iiiii11-1-1ii−i−i
χ1311111111-1-1-1-1-1-1-1-1111111111111111111−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii1111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-11111-1-1-1-1-1-1−i−i−i−iiiii11-1-1−i−iii
χ1411111111-1-1-1-1-1-1-1-1111111111111111111−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii1111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111-1-1-1-111iiii−i−i−i−i-1-111ii−i−i
χ1511111111-1-1-1-1-1-1-1-1111111111111111111−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i1111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-11111-1-1−i−i−i−iiiii-1-111ii−i−i
χ1611111111-1-1-1-1-1-1-1-1111111111111111111−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i1111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-11111-1-1-1-1111111iiii−i−i−i−i11-1-1−i−iii
χ17111-1-1-1-111-11-11-1-1111-1-1-1-1-1-1111111-1-11-1ii−i−iii−i−i111111-1-1-1-1-1-111-1-1i−ii−i1-11-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iii−i−iii−i−iii−i−ii−i11-1-111-1-11-11-1i−ii−i
χ18111-1-1-1-111-11-11-1-1111-1-1-1-1-1-1111111-1-11-1ii−i−iii−i−i111111-1-1-1-1-1-111-1-1i−ii−i1-11-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−iiiii−i−iii−i−i−ii-1-111-1-111-11-11−ii−ii
χ19111-1-1-1-111-11-11-1-1111-1-1-1-1-1-1111111-1-11-1ii−i−iii−i−i111111-1-1-1-1-1-111-1-1−ii−ii-11-1111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−iii−i−i−i−iii−i−iiii−i11-1-111-1-1-11-11−ii−ii
χ20111-1-1-1-111-11-11-1-1111-1-1-1-1-1-1111111-1-11-1ii−i−iii−i−i111111-1-1-1-1-1-111-1-1−ii−ii-11-1111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−iii−i−iii−i−iii−ii-1-111-1-1111-11-1i−ii−i
χ21111-1-1-1-111-11-11-1-1111-1-1-1-1-1-1111111-1-11-1−i−iii−i−iii111111-1-1-1-1-1-111-1-1i−ii−i-11-1111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111iiii−i−i−i−iii−i−iii−i−iii−i−ii−i-1-111-1-1111-11-1−ii−ii
χ22111-1-1-1-111-11-11-1-1111-1-1-1-1-1-1111111-1-11-1−i−iii−i−iii111111-1-1-1-1-1-111-1-1i−ii−i-11-1111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−iiiii−i−iii−i−i−ii11-1-111-1-1-11-11i−ii−i
χ23111-1-1-1-111-11-11-1-1111-1-1-1-1-1-1111111-1-11-1−i−iii−i−iii111111-1-1-1-1-1-111-1-1−ii−ii1-11-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iii−i−i−i−iii−i−iiii−i-1-111-1-111-11-11i−ii−i
χ24111-1-1-1-111-11-11-1-1111-1-1-1-1-1-1111111-1-11-1−i−iii−i−iii111111-1-1-1-1-1-111-1-1−ii−ii1-11-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−iii−i−iii−i−iii−ii11-1-111-1-11-11-1−ii−ii
χ25111-1-1-1-11-11-11-111-111-1-1-1-1-1-1111111-1-11-111-1-1-1-111-1-1-1-1-1-1111111-1-111i−i−ii−iii−i11-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−iiiii−i−i−i−iii−ii−i−iiiii−i−i1-1-111-1-11
χ26111-1-1-1-11-11-11-111-111-1-1-1-1-1-1111111-1-11-111-1-1-1-111-1-1-1-1-1-1111111-1-111i−i−ii−iii−i11-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiii−i−iii−i−i−i−iiii−iii−i−i−i−iii-111-1-111-1
χ27111-1-1-1-11-11-11-111-111-1-1-1-1-1-1111111-1-11-111-1-1-1-111-1-1-1-1-1-1111111-1-111−iii−ii−i−ii11-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iii−i−iiiii−i−i−ii−i−iiiii−i−i-111-1-111-1
χ28111-1-1-1-11-11-11-111-111-1-1-1-1-1-1111111-1-11-111-1-1-1-111-1-1-1-1-1-1111111-1-111−iii−ii−i−ii11-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−iiiii−i−ii−iii−i−i−i−iii1-1-111-1-11
χ29111-1-1-1-11-11-11-111-111-1-1-1-1-1-1111111-1-11-1-1-11111-1-1-1-1-1-1-1-1111111-1-111i−i−iii−i−ii11-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i−i−iii−iiii−i−i−i−iii1-1-11-111-1
χ30111-1-1-1-11-11-11-111-111-1-1-1-1-1-1111111-1-11-1-1-11111-1-1-1-1-1-1-1-1111111-1-111i−i−iii−i−ii11-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i−i−iiii−i−i−iiiii−i−i-111-11-1-11
χ31111-1-1-1-11-11-11-111-111-1-1-1-1-1-1111111-1-11-1-1-11111-1-1-1-1-1-1-1-1111111-1-111−iii−i−iii−i11-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iiiii−i−i−iiii−i−i−i−iii-111-11-1-11
χ32111-1-1-1-11-11-11-111-111-1-1-1-1-1-1111111-1-11-1-1-11111-1-1-1-1-1-1-1-1111111-1-111−iii−i−iii−i11-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iiiii−i−ii−i−i−iiiii−i−i1-1-11-111-1
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+52−1−5222-2-2-2-2-2-2-2-2−1+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+52−1−522222-2-2-2-2−1+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+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+52−1−5222-2-2-2-2-2-2-2-2−1+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+52−1−52-2-2-2-22222−1+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+52−1−52−1−52−1+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+5222-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+522222-2-2-2-2−1−52−1+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+521−521−52000000000000−1−52−1+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+5222-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222−1−52−1+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+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
χ412222222222-2-22-22-22222222222222222-2-2000000002-2-22-2-222-222-222-2-200000000-2-2-2-20000000000000000000000000000000022-2-222-2-2222200000000-2-20000000000000000
χ422222222222-2-22-22-22222222222222222-2-2000000002-2-22-2-222-222-222-2-200000000-2-2-2-200000000000000000000000000000000-2-222-2-222-2-2-2-200000000220000000000000000
χ4322222222-2-222-22-222222222222222222-2-200000000-222-222-2-22-2-22-2-22200000000-2-2-2-20000000000000000000000000000000022-2-222-2-2-2-2-2-200000000220000000000000000
χ4422222222-2-222-22-222222222222222222-2-200000000-222-222-2-22-2-22-2-22200000000-2-2-2-200000000000000000000000000000000-2-222-2-222222200000000-2-20000000000000000
χ4522222222-2-2-2-2-2-2-2-2−1+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+52−1−52222i2i2i2i−2i−2i−2i−2i1−521−521−521+521+521+521−521−521−521+521+521+521−521+521−521+5222-2-22i2i−2i−2i−1+52−1−52−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000000000000−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000
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χ1408-88-88-88-800000000−2−25−2+252+25−2−252+252−25−2+252−252+25−2−252+252−25−2+252−25−2−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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