Finite Group Databasebeta

← Group #13105481

Character table — Group #13105481

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118
size1111222222222222222244444444444444444444444444488888888888888888888888888888888101010102020202020202020202020202020202020202020202040404040404040405050100100100
order12225555101010101010101010101010444555510101010101010101010101020202020202020202020202020202020202020202020202020202020202020202020202020202020224422444410101010202020202020202020202020101010102020202044444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-11
χ6111111111111111111111-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1
χ7111111111111111111111-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-111-11-1-1-1-1-1111111111111-1-111-1-1-1-1-1-111-1
χ8111111111111111111111-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-11
χ911111111111111111111-11-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-1-1-111111-1-1-1-1-1-1-1-11111-1-111-1-111111-1-1
χ1011111111111111111111-11-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111
χ1111111111111111111111-11-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-111
χ1211111111111111111111-11-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1111-1-1-1-1-111111111-1-1-1-111-1-111-1-1111-1-1
χ1311111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-11111-1-1-1-111111111-1-1-1-111-1-111-11-1
χ1411111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111111111111111-1-1-1-1-1-1-1-1-1-111-1-11-11
χ1511111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11-11
χ1611111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-11-1
χ17222222−1+52−1−52−1+52−1−52−1+52−1−5222−1+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+52−1−52−1−522222−1+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+52−1−52−1−52−1−52−1−522200220020−1+52−1+52−1−52−1−520000−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−52000000000
χ18222222−1+52−1−52−1+52−1−52−1+52−1−5222−1+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+52−1−52−1−522222−1+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+52−1−52−1−52−1−52−1−52-2-200-2-200-201−521−521+521+5200001−521−521+521+5200001−521+521−521+52000000000
χ19222222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−5222222-2-2−1+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+52−1−52−1−521−521−521+521+522222−1+52−1−521−521+52-2-2-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5222002-200-20−1+52−1+52−1−52−1−5200001−521−521+521+520000−1+52−1−521−521+52000000000
χ20222222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−5222222-2-2−1+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+52−1−52−1−521−521−521+521+522222−1+52−1−521−521+52-2-2-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-200-2200201−521−521+521+520000−1+52−1+52−1−52−1−5200001−521+52−1+52−1−52000000000
χ21222222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−522222-22-2−1+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+52−1−52−1−521−521−521+521+52-2-2-2-21−521+52−1+52−1−5222-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522200-2200-20−1+52−1+52−1−52−1−5200001−521−521+521+5200001−521+52−1+52−1−52000000000
χ22222222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−522222-22-2−1+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+52−1−52−1−521−521−521+521+52-2-2-2-21−521+52−1+52−1−5222-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2002-200201−521−521+521+520000−1+52−1+52−1−52−1−520000−1+52−1−521−521+52000000000
χ23222222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−522222-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521+521−521+52-2-222−1+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+522200-2-20020−1+52−1+52−1−52−1−520000−1+52−1+52−1−52−1−5200001−521+521−521+52000000000
χ24222222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−522222-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521+521−521+52-2-222−1+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+52-2-2002200-201−521−521+521+5200001−521−521+521+520000−1+52−1−52−1+52−1−52000000000
χ25222222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+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+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+522200220020−1−52−1−52−1+52−1+520000−1−52−1−52−1+52−1+520000−1−52−1+52−1−52−1+52000000000
χ26222222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+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+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+52-2-200-2-200-201+521+521−521−5200001+521+521−521−5200001+521−521+521−52000000000
χ27222222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+5222222-2-2−1−52−1−52−1+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+521+521+521−521−522222−1−52−1+521+521−52-2-2-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5222002-200-20−1−52−1−52−1+52−1+5200001+521+521−521−520000−1−52−1+521+521−52000000000
χ28222222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+5222222-2-2−1−52−1−52−1+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+521+521+521−521−522222−1−52−1+521+521−52-2-2-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-200-2200201+521+521−521−520000−1−52−1−52−1+52−1+5200001+521−52−1−52−1+52000000000
χ29222222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+522222-22-2−1−52−1−52−1+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+521+521+521−521−52-2-2-2-21+521−52−1−52−1+5222-2-21+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+522200-2200-20−1−52−1−52−1+52−1+5200001+521+521−521−5200001+521−52−1−52−1+52000000000
χ30222222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+522222-22-2−1−52−1−52−1+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+521+521+521−521−52-2-2-2-21+521−52−1−52−1+5222-2-21+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+52-2-2002-200201+521+521−521−520000−1−52−1−52−1+52−1+520000−1−52−1+521+521−52000000000
χ31222222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+522222-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521−521+521−52-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522200-2-20020−1−52−1−52−1+52−1+520000−1−52−1−52−1+52−1+5200001+521−521+521−52000000000
χ32222222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+522222-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521−521+521−52-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2002200-201+521+521−521−5200001+521+521−521−520000−1−52−1+52−1−52−1+52000000000
χ332222−1+52−1−52222222−1+52−1−5222−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+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+52−1−52−1−5200220022020000−1+52−1+52−1−52−1−520000−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−5200000
χ342222−1+52−1−52222222−1+52−1−5222−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+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+52−1−52−1−5200-2-200-2-20-200001−521−521+521+5200001−521−521+521+5200001−521+521−521+5200000
χ352222−1+52−1−52222222−1+52−1−5222−1+52−1−52−1+52−1−522-2-2−1+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+52−1−52-2-2-2-2−1+52−1+52−1−52−1−5222-2-21−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520022002-20-20000−1+52−1+52−1−52−1−520000−1+52−1+52−1−52−1−5200001−521+521−521+5200000
χ362222−1+52−1−52222222−1+52−1−5222−1+52−1−52−1+52−1−522-2-2−1+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+52−1−52-2-2-2-2−1+52−1+52−1−52−1−5222-2-21−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200-2-200-220200001−521−521+521+5200001−521−521+521+520000−1+52−1−52−1+52−1−5200000
χ372222−1+52−1−52222222−1+52−1−5222−1+52−1−52−1+52−1−52-22-2−1+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+52−1−52-2-2-2-21−521−521+521+52-2-222−1+52−1−521−521+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+52−1−52−1−52002200-2-20200001−521−521+521+520000−1+52−1+52−1−52−1−5200001−521+52−1+52−1−5200000
χ382222−1+52−1−52222222−1+52−1−5222−1+52−1−52−1+52−1−52-22-2−1+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+52−1−52-2-2-2-21−521−521+521+52-2-222−1+52−1−521−521+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+52−1−52−1−5200-2-200220-20000−1+52−1+52−1−52−1−5200001−521−521+521+520000−1+52−1−521−521+5200000
χ392222−1+52−1−52222222−1+52−1−5222−1+52−1−52−1+52−1−52-2-22−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222221−521−521+521+52-2-2-2-21−521+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+52002200-220-200001−521−521+521+520000−1+52−1+52−1−52−1−520000−1+52−1−521−521+5200000
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χ11488-8-8−2−25−2+25−2−25−2+25−2−25−2+252+252−25−2−25−2+252+252−252+252−252+252−250003+5-2-23−53+5-2-23−5−3−522−3+5−3−522−3+50000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8−2+25−2−25−2+25−2−252−252+25−2+25−2−252−252+252−252+25−2+25−2−252−252+250003−5-2-23+5−3+522−3−5−3+522−3−53−5-2-23+50000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8−2+25−2−25−2−25−2+252+252−25−2−25−2+252−252+252+252−25−2+25−2−252−252+25000-23+53−5-22−3−5−3+522−3−5−3+52-23+53−5-20000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-8−2−25−2+25−2+25−2−252−252+25−2+25−2−252+252−252−252+25−2−25−2+252+252−25000-23−53+5-22−3+5−3−522−3+5−3−52-23−53+5-20000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8−2−25−2+25−2−25−2+252+252−25−2−25−2+252+252−252+252−25−2−25−2+252+252−250003+5-2-23−5−3−522−3+5−3−522−3+53+5-2-23−50000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.