Finite Group Databasebeta

← Group #12985997

Character table — Group #12985997

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111122222222222222444444444444444444444444444488888888888888888888888888888816161616161616161616161616161616202020202020202020202020202020204040404040404040
order1222444444551010101010102444888820202020202020202020202020202020202020202222444488101020204040404040404040404040404040404010101010101010102020202020202020222244444444888824444488
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
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ51111111111111111111111-1-1-1-11111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-11-1-1
χ61111111111111111111111-1-1-1-11111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-111
χ71111111111111111111111-1-1-1-111111111111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-111-1-1-1
χ81111111111111111111111-1-1-1-111111111111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111
χ9111111-1-11111111111-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-11-11-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-11-1-11-111-1
χ10111111-1-11111111111-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-11-11-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-111-11-1-11
χ11111111-1-11111111111-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11-11-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-11111-1-1-111-11-11-1
χ12111111-1-11111111111-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11-11-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-1111-1-11-11-11
χ13111111-1-11111111111-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-1111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1111-1-1-111-11
χ14111111-1-11111111111-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-1111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1-1111-1-11-1
χ15111111-1-11111111111-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-111-111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-1-111-1111-1-1-11
χ16111111-1-11111111111-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-111-111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-11-1-1-1111-1
χ171111-1-1111111111111-1-11-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-111-1-11111-1-11-111-1-1
χ181111-1-1111111111111-1-11-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11-1-111-1-1-1-111-11-1-111
χ191111-1-1111111111111-1-11-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11-11-1-1-111111111-11-1-1-1-1
χ201111-1-1111111111111-1-11-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-11-1111-1-1-1-1-1-1-1-11-11111
χ211111-1-1111111111111-1-11-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-11-11-1-1-111-1-1-1-1-1-111-1111
χ221111-1-1111111111111-1-11-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-11-11-1111-1-1111111-1-11-1-1-1
χ231111-1-1111111111111-1-11-1-1-1111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-11-11-111-1-1-1-1-1-111-1-11-111
χ241111-1-1111111111111-1-11-1-1-1111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-11-11-11-1-1111111-1-111-11-1-1
χ251111-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-11-11-1111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1111-1-111-1-11111111-1-1-11-1-1-11-11
χ261111-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-11-11-1111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111-111-1-111-1-1-1-1-1-1-1111-1111-11-1
χ271111-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-111-11-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-11-1-111-1-11-1-1-1-111-1-11-1111-1-11
χ281111-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-111-11-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-111-1-111-11111-1-111-11-1-1-111-1
χ291111-1-1-1-111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-111-11-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-11-1-111-1-11-1-1-1-1-1-111-11-11111-1
χ301111-1-1-1-111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-111-11-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1-111-1-111-1111111-1-11-11-1-1-1-11
χ311111-1-1-1-111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-11-1-111-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-1111-1-111-1-111111-1-1111-11-1-1-11-1
χ321111-1-1-1-111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-11-1-111-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111-111-1-111-1-1-1-1-111-1-1-11-1111-11
χ332222222222−1+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+52−1−52−1−522222222222−1+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
χ342222222222−1+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+52−1−52−1−52-2-2-2-2-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+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
χ352222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-222-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+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
χ362222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-222-2-2−1+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+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ372222222222−1−52−1+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+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
χ382222222222−1−52−1+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+52-2-2-2-2-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+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
χ392222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000000
χ402222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222-2-222-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000000000
χ4122222222-2-2222222222-2-2-20000-2-2-2-222222222-2-2-2-2-2-2-2-2000000000022-2-2000000000000000000000000000000002-22-2-22-220000000000000000
χ4222222222-2-2222222222-2-2-20000-2-2-2-222222222-2-2-2-2-2-2-2-2000000000022-2-200000000000000000000000000000000-22-222-22-20000000000000000
χ43222222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-22-2-222221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522-22-22-22-2-2-21−521+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+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52000000000000000000000000
χ44222222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-22-2-222221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-22-22-22-22-2-21−521+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+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52000000000000000000000000
χ45222222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-22-2-2-2-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522-2-222-2-22221−521+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+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52000000000000000000000000
χ46222222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-22-2-2-2-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-222-2-222-2221−521+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+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+52000000000000000000000000
χ47222222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-22-2-222221+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+522-22-22-22-2-2-21+521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52000000000000000000000000
χ48222222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-22-2-222221+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+52-22-22-22-22-2-21+521−52−1−52−1+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+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+52000000000000000000000000
χ49222222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-22-2-2-2-2-2-21+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+522-2-222-2-22221+521−52−1−52−1+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+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52000000000000000000000000
χ50222222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-22-2-2-2-2-2-21+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+52-222-2-222-2221+521−52−1−52−1+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+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−52000000000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.