Finite Group Databasebeta

← Group #13105179

Character table — Group #13105179

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118
size1111222222222222222244444444444444444444444444488888888888888888888888888888888101010102020202020202020202020202020202020202020202040404040404040405050100100100
order12225555101010101010101010101010244555510101010101010101010101010101010202020201010101010101010101020202020202020202020202020202020202020202020224424444410101010202020202020202020202020101020202020202044444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1
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
χ5111111111111111111111-1-111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-11-11111-1-1-1-111111111-1-111-1-1-1-111-11-1
χ6111111111111111111111-1-111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-11
χ7111111111111111111111-1-111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11-11
χ8111111111111111111111-1-111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-11-1
χ911111111111111111111-11-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11
χ1011111111111111111111-11-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-11-11-11-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1
χ1111111111111111111111-11-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111-11-11-11-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1
χ1211111111111111111111-11-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-11
χ1311111111111111111111-1-111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-111-1-1111-1-1
χ1411111111111111111111-1-111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-111
χ1511111111111111111111-1-111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-111
χ1611111111111111111111-1-111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111-1-1
χ17222222−1+52−1−5222−1+52−1−5222−1+52−1+52−1−52−1−5222222−1+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+52−1−52−1−52−1−52−1−5222−1+52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522200220200−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−52000000000
χ18222222−1+52−1−5222−1+52−1−5222−1+52−1+52−1−52−1−5222222−1+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+52−1−52−1−52−1−52−1−5222−1+52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-200-2-20-2001−521−521+521+521−521−521+521+52000000001−521+521−521+52000000000
χ19222222−1+52−1−5222−1+52−1−5222−1+52−1+52−1−52−1−52222-2-2−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521+52-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522200-220-200−1+52−1+52−1−52−1−521−521−521+521+52000000001−521+52−1+52−1−52000000000
χ20222222−1+52−1−5222−1+52−1−5222−1+52−1+52−1−52−1−52222-2-2−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521+52-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2002-202001−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+52000000000
χ21222222−1+52−1−5222−1+52−1−5222−1+52−1+52−1−52−1−5222-22-2−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521+521−521−521−521−521+521+521+521+5222−1+52−1−52-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5222002-20-200−1+52−1+52−1−52−1−521−521−521+521+5200000000−1+52−1−521−521+52000000000
χ22222222−1+52−1−5222−1+52−1−5222−1+52−1+52−1−52−1−5222-22-2−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521+521−521−521−521−521+521+521+521+5222−1+52−1−52-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-200-2202001−521−521+521+52−1+52−1+52−1−52−1−52000000001−521+52−1+52−1−52000000000
χ23222222−1+52−1−5222−1+52−1−5222−1+52−1+52−1−52−1−5222-2-22−1+52−1+52−1−52−1−52-2-2-2-2−1+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+52−1−52−1−521−521+521−521−521−521−521+521+521+521+52-2-21−521+52221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522200-2-20200−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+52000000000
χ24222222−1+52−1−5222−1+52−1−5222−1+52−1+52−1−52−1−5222-2-22−1+52−1+52−1−52−1−52-2-2-2-2−1+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+52−1−52−1−521−521+521−521−521−521−521+521+521+521+52-2-21−521+52221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-200220-2001−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−52000000000
χ25222222−1−52−1+5222−1−52−1+5222−1−52−1−52−1+52−1+5222222−1−52−1−52−1+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+5222−1−52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522200220200−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+52000000000
χ26222222−1−52−1+5222−1−52−1+5222−1−52−1−52−1+52−1+5222222−1−52−1−52−1+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+5222−1−52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-200-2-20-2001+521+521−521−521+521+521−521−52000000001+521−521+521−52000000000
χ27222222−1−52−1+5222−1−52−1+5222−1−52−1−52−1+52−1+52222-2-2−1−52−1−52−1+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+521+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521−52-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522200-220-200−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−52−1−52−1+52000000000
χ28222222−1−52−1+5222−1−52−1+5222−1−52−1−52−1+52−1+52222-2-2−1−52−1−52−1+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+521+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521−52-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2002-202001+521+521−521−52−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−52000000000
χ29222222−1−52−1+5222−1−52−1+5222−1−52−1−52−1+52−1+5222-22-2−1−52−1−52−1+52−1+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+521+521+521−521−521+521−521+521+521+521+521−521−521−521−5222−1−52−1+52-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5222002-20-200−1−52−1−52−1+52−1+521+521+521−521−5200000000−1−52−1+521+521−52000000000
χ30222222−1−52−1+5222−1−52−1+5222−1−52−1−52−1+52−1+5222-22-2−1−52−1−52−1+52−1+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+521+521+521−521−521+521−521+521+521+521+521−521−521−521−5222−1−52−1+52-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-200-2202001+521+521−521−52−1−52−1−52−1+52−1+52000000001+521−52−1−52−1+52000000000
χ31222222−1−52−1+5222−1−52−1+5222−1−52−1−52−1+52−1+5222-2-22−1−52−1−52−1+52−1+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+521+521−521+521+521+521+521−521−521−521−52-2-21+521−52221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522200-2-20200−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−52000000000
χ32222222−1−52−1+5222−1−52−1+5222−1−52−1−52−1+52−1+5222-2-22−1−52−1−52−1+52−1+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+521+521−521+521+521+521+521−521−521−521−52-2-21+521−52221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-200220-2001+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+52000000000
χ332222−1+52−1−5222−1+52−1−5222−1+52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52002200202200000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−5200000
χ342222−1+52−1−5222−1+52−1−5222−1+52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-2-200-20-2-2000000001−521−521+521+521−521−521+521+5200001−521+521−521+5200000
χ352222−1+52−1−5222−1+52−1−5222−1+52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+52-2-21−521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52002200-202-200000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+5200000
χ362222−1+52−1−5222−1+52−1−5222−1+52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+52-2-21−521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200-2-20020-22000000001−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−5200000
χ372222−1+52−1−5222−1+52−1−5222−1+52−1−522222−1+52−1−52-22-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52002200-20-2200000000−1+52−1+52−1−52−1−521−521−521+521+5200001−521+52−1+52−1−5200000
χ382222−1+52−1−5222−1+52−1−5222−1+52−1−522222−1+52−1−52-22-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200-2-200202-2000000001−521−521+521+52−1+52−1+52−1−52−1−520000−1+52−1−521−521+5200000
χ392222−1+52−1−5222−1+52−1−5222−1+52−1−522222−1+52−1−52-2-22−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-21−521−521+521+521−521−521+521+521−521+52-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200220020-2-200000000−1+52−1+52−1−52−1−521−521−521+521+520000−1+52−1−521−521+5200000
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χ11488-8-8−2−25−2+25−2−25−2+252+252−252+252−25−2−25−2+25−2−252+25−2+252−252+252−250003+5-2-23−50000−3−522−3+53+5−3−5-22-223−5−3+5000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8−2+25−2−25−2+25−2−252−252+252−252+252−252+252−25−2+252+25−2−25−2+25−2−250003−5-2-23+50000−3+522−3−5−3+53−52-22-2−3−53+5000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8−2+25−2−25−2−25−2+252−252+252+252−252−252+252+25−2−252−25−2+25−2+25−2−25000-23+53−5-200002−3−5−3+522-2−3−53+5−3+53−52-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-8−2−25−2+25−2+25−2−252+252−252−252+252+252−252−25−2+252+25−2−25−2−25−2+25000-23−53+5-200002−3+5−3−522-2−3+53−5−3−53+52-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8−2−25−2+25−2−25−2+252+252−252+252−252+252−252+25−2−252−25−2+25−2−25−2+250003+5-2-23−50000−3−522−3+5−3−53+52-22-2−3+53−5000000000000000000000000000000000000000000000000000000000000000000000000000

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