Finite Group Databasebeta

← Group #13106619

Character table — Group #13106619

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142
size111122222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444420202020202020204040404040404040404040404040404050505050100100
order12222255551010101010101010101010102255551010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010102244444410101010202020202020202020202020222244
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-111-1-11-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-11-1-111-11-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1
χ61111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-111-1-111-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11-1-111-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1
χ91111-1-111111111111111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-11111-1-111-1-1-1-111-1-111-1-11-1
χ101111-1-111111111111111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11-1111-1-1-1-111-1-111-1-111-1-111-11
χ111111-1-111111111111111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-1-1-11111-1-111-1-111-1-1-1-111-11
χ121111-1-111111111111111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-11111-1-11111-1-11-1
χ131111-1-11111111111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-11-11-1-11111-1-1-1-111-1-1-1-11111-1-1-11
χ141111-1-11111111111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-111-1-1111-1-1-1-1-1-1111111-1-1-1-1111-1
χ151111-1-11111111111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-111-1-1-1111111-1-1-1-1-1-111-1-1111-1
χ161111-1-11111111111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11-11-111-1-1-1-11111-1-11111-1-111-1-1-11
χ1722222222−1+52−1−52222222−1+52−1+52−1+52−1−52−1−52−1−5222−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520200220200−1+52−1−52000000−1+52−1−52−1+52−1−52−1+52−1−52000000
χ1822222222−1+52−1−52222222−1+52−1+52−1+52−1−52−1−52−1−5222−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520-200-2-20-2001−521+520000001−521+521−521+521−521+52000000
χ1922222222−1+52−1−52222222−1+52−1+52−1+52−1−52−1−52−1−52-2-2−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+52-2-2-2-21−521−521+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+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+520200-2-20200−1+52−1−52000000−1+52−1−521−521+521−521+52000000
χ2022222222−1+52−1−52222222−1+52−1+52−1+52−1−52−1−52−1−52-2-2−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+52-2-2-2-21−521−521+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+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+520-200220-2001−521+520000001−521+52−1+52−1−52−1+52−1−52000000
χ2122222222−1−52−1+52222222−1−52−1−52−1−52−1+52−1+52−1+5222−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+520200220200−1−52−1+52000000−1−52−1+52−1−52−1+52−1−52−1+52000000
χ2222222222−1−52−1+52222222−1−52−1−52−1−52−1+52−1+52−1+5222−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+520-200-2-20-2001+521−520000001+521−521+521−521+521−52000000
χ2322222222−1−52−1+52222222−1−52−1−52−1−52−1+52−1+52−1+52-2-2−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−52-2-2-2-21+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+521−521−521−521−521−521−521−521−520200-2-20200−1−52−1+52000000−1−52−1+521+521−521+521−52000000
χ2422222222−1−52−1+52222222−1−52−1−52−1−52−1+52−1+52−1+52-2-2−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−52-2-2-2-21+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+521−521−521−521−521−521−521−521−520-200220-2001+521−520000001+521−52−1−52−1+52−1−52−1+52000000
χ25222222−1+52−1−5222−1+52−1+52−1+52−1−52−1−52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−522222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5220220020−1+52−1−5200−1+52−1−52−1+52−1−52−1+52−1−52000000000000
χ26222222−1+52−1−5222−1+52−1+52−1+52−1−52−1−52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−522222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-20-2-200-201−521+52001−521+521−521+521−521+52000000000000
χ27222222−1+52−1−5222−1+52−1+52−1+52−1−52−1−52−1−52222222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222221−521−521+521+52-2-2-2-21−521−521+521+52-2-2-2-2−1+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+52−1−52−1−52−1−52−1−521−521−521−521−521+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+5220-2-20020−1+52−1−5200−1+52−1−521−521+521−521+52000000000000
χ28222222−1+52−1−5222−1+52−1+52−1+52−1−52−1−52−1−52222222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222221−521−521+521+52-2-2-2-21−521−521+521+52-2-2-2-2−1+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+52−1−52−1−52−1−52−1−521−521−521−521−521+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+52-202200-201−521+52001−521+52−1+52−1−52−1+52−1−52000000000000
χ29222222−1−52−1+5222−1−52−1−52−1−52−1+52−1+52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5220220020−1−52−1+5200−1−52−1+52−1−52−1+52−1−52−1+52000000000000
χ30222222−1−52−1+5222−1−52−1−52−1−52−1+52−1+52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-20-2-200-201+521−52001+521−521+521−521+521−52000000000000
χ31222222−1−52−1+5222−1−52−1−52−1−52−1+52−1+52−1+52222222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222221+521+521−521−52-2-2-2-21+521+521−521−52-2-2-2-2−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+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+521−521−521−521−5220-2-20020−1−52−1+5200−1−52−1+521+521−521+521−52000000000000
χ32222222−1−52−1+5222−1−52−1−52−1−52−1+52−1+52−1+52222222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222221+521+521−521−52-2-2-2-21+521+521−521−52-2-2-2-2−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+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+521−521−521−521−52-202200-201+521−52001+521−52−1−52−1+52−1−52−1+52000000000000
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χ1364-4-44-44−1+5−1−5−1−5−1+5−1+51−51−5−1−51+51+5−1−51+51+5−1+51−51−500-13+523−52-11−5−1+51+5−1−51+5−1−51−5−1+50000000000000000-1113+52−3−52−3−523−52−3+52−3+52-11111-1-1−3−52−3−523+523+52−3+52−3+523−523−5211-1-1−555−5−5+525−525−52−5+525+52−5−52−5−525+525−5−555−5−555−52−5+52−5+525−52−5−525+525+52−5−52−555−5000000000000000000000000000000
χ1374-4-44-44−1+5−1−5−1−5−1+5−1+51−51−5−1−51+51+5−1−51+51+5−1+51−51−500-13+523−52-11−5−1+51+5−1−51+5−1−51−5−1+50000000000000000-1113+52−3−52−3−523−52−3+52−3+52-11111-1-1−3−52−3−523+523+52−3+52−3+523−523−5211-1-15−5−555−52−5+52−5+525−52−5−525+525+52−5−52−555−5−555−5−5+525−525−52−5+525+52−5−52−5−525+525−5−55000000000000000000000000000000
χ1384-4-44-44−1−5−1+544−1−51+51+5−1+51−51−54-4-44-4-400−1−5−1+5−1−5−1+51+5−1−51−5−1+5-44-440000000000000000−1−51+51+5−1+51−51−5−1−51+51+5−1+51−51−51+51+5−1−5−1−51−51−5−1+5−1+51+51+5−1−5−1−51−51−5−1+5−1+500000000000000000000000000000000000000000000000000000000000000
χ1394-4-44-44−1−5−1+5−1+5−1−5−1−51+51+5−1+51−51−5−1+51−51−5−1−51+51+500-13−523+52-11+5−1−51−5−1+51−5−1+51+5−1−50000000000000000-1113−52−3+52−3+523+52−3−52−3−52-11111-1-1−3+52−3+523−523−52−3−52−3−523+523+5211-1-1−555−55+52−5−52−5−525+52−5+525−525−52−5+525−5−555−5−55−5−525+525+52−5−525−52−5+52−5+525−52−555−5000000000000000000000000000000
χ1404-4-44-44−1−5−1+5−1+5−1−5−1−51+51+5−1+51−51−5−1+51−51−5−1−51+51+500-13−523+52-11+5−1−51−5−1+51−5−1+51+5−1−50000000000000000-1113−52−3+52−3+523+52−3−52−3−52-11111-1-1−3+52−3+523−523−52−3−52−3−523+523+5211-1-15−5−55−5−525+525+52−5−525−52−5+52−5+525−52−555−5−555−55+52−5−52−5−525+52−5+525−525−52−5+525−5−55000000000000000000000000000000
χ1414-4-44-44−1−5−1+5−1−5−1+5−1−51+51+5−1+51−51−5−1−51+51+5−1+51−51−5003+52-1-13−521+5−1−51−5−1+51+5−1−51−5−1+500000000000000003+52−3−52−3−52-111-1113−52−3+52−3+52−3−52−3−523+523+5211-1-111-1-1−3+52−3+523−523−525−52−5+52−5+525−52−555−5−555−55+52−5−52−5−525+52−5+525−525−52−5+525−5−555−5−55−5−525+525+52−5−52000000000000000000000000000000
χ1424-4-44-44−1−5−1+5−1−5−1+5−1−51+51+5−1+51−51−5−1−51+51+5−1+51−51−5003+52-1-13−521+5−1−51−5−1+51+5−1−51−5−1+500000000000000003+52−3−52−3−52-111-1113−52−3+52−3+52−3−52−3−523+523+5211-1-111-1-1−3+52−3+523−523−52−5+525−525−52−5+525−5−555−5−55−5−525+525+52−5−525−52−5+52−5+525−52−555−5−555−55+52−5−52−5−525+52000000000000000000000000000000

Here ζ is a primitive root of unity of order 5 (ζ5 = 1).