Finite Group Databasebeta

← Group #65021

Character table — Group #65021

Order 320.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11112222222222222222222244444444444444444444444444444202020204040
order1222224455101010101010202020202020202048888101010102020202040404040404040404040404040404040222224
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111-1-1111111111111111111-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-1
χ61111-1-1111111111111111111-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-11
χ71111-1-1111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-11
χ81111-1-1111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-1
χ922222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000
χ1022222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52000000
χ1122222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000
χ1222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52000000
χ13222222-2-222222222-2-2-2-2-2-2-2-2-200002222-2-2-2-20000000000000000000000
χ14222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-20000−1+52−1+52−1−52−1−521−521−521+521+52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14000000
χ15222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-20000−1+52−1+52−1−52−1−521−521−521+521+52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14000000
χ16222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-20000−1−52−1−52−1+52−1+521+521+521−521−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38000000
χ17222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-20000−1−52−1−52−1+52−1+521+521+521−521−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38000000
χ182222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-222-2-21−521−521+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+52000000
χ192222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2221−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000
χ202222-2-222−1−52−1+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+52-222-2-21+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+521−521−521−521−52000000
χ212222-2-222−1−52−1+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+52-2-2-2221+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+52000000
χ222222-2-2-2-222222222-2-2-2-2-2-2-2-220000-2-2-2-222220000000000000000000000
χ232222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52200001−521−521+521+52−1+52−1+52−1−52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14000000
χ242222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52200001−521−521+521+52−1+52−1+52−1−52−1−52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14000000
χ252222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52200001+521+521−521−52−1−52−1−52−1+52−1+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38000000
χ262222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52200001+521+521−521−52−1−52−1−52−1+52−1+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38000000
χ272-22-2002-222-2-2-2-22222-2-222-2-2000000000000000000000000000002-20000
χ282-22-2002-222-2-2-2-22222-2-222-2-200000000000000000000000000000-220000
χ292-22-200-2222-2-2-2-222-2-222-2-22200000000000000000000000000000002-200
χ302-22-200-2222-2-2-2-222-2-222-2-2220000000000000000000000000000000-2200
χ312-2-222-200222-22-2-2-20000000002−22−22-22-200002−22−22−22−22−22−22−22−2000000
χ322-2-222-200222-22-2-2-2000000000−22−222-22-20000−22−22−22−22−22−22−22−22000000
χ332-2-222-200−1+52−1−52−1+521−52−1−521+521−521+52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ1402−22−2−1+521−52−1−521+52−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ7+ζ13ζ7−ζ13−ζ23+ζ37ζ23−ζ37ζ21−ζ39−ζ21+ζ39ζ29−ζ31−ζ29+ζ31−ζ7+ζ13ζ7−ζ13−ζ23+ζ37ζ23−ζ37ζ21−ζ39−ζ21+ζ39ζ29−ζ31−ζ29+ζ31000000
χ342-2-222-200−1+52−1−52−1+521−52−1−521+521−521+52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ140−22−22−1+521−52−1−521+52−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ7−ζ13−ζ7+ζ13ζ23−ζ37−ζ23+ζ37−ζ21+ζ39ζ21−ζ39−ζ29+ζ31ζ29−ζ31ζ7−ζ13−ζ7+ζ13ζ23−ζ37−ζ23+ζ37−ζ21+ζ39ζ21−ζ39−ζ29+ζ31ζ29−ζ31000000
χ352-2-222-200−1+52−1−52−1+521−52−1−521+521−521+52ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ1402−22−2−1+521−52−1−521+52ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ23+ζ37ζ23−ζ37−ζ7+ζ13ζ7−ζ13ζ29−ζ31−ζ29+ζ31ζ21−ζ39−ζ21+ζ39−ζ23+ζ37ζ23−ζ37−ζ7+ζ13ζ7−ζ13ζ29−ζ31−ζ29+ζ31ζ21−ζ39−ζ21+ζ39000000
χ362-2-222-200−1+52−1−52−1+521−52−1−521+521−521+52ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ140−22−22−1+521−52−1−521+52ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ23−ζ37−ζ23+ζ37ζ7−ζ13−ζ7+ζ13−ζ29+ζ31ζ29−ζ31−ζ21+ζ39ζ21−ζ39ζ23−ζ37−ζ23+ζ37ζ7−ζ13−ζ7+ζ13−ζ29+ζ31ζ29−ζ31−ζ21+ζ39ζ21−ζ39000000
χ372-2-222-200−1−52−1+52−1−521+52−1+521−521+521−52ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ3802−22−2−1−521+52−1+521−52ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ21−ζ39−ζ21+ζ39ζ29−ζ31−ζ29+ζ31−ζ23+ζ37ζ23−ζ37−ζ7+ζ13ζ7−ζ13ζ21−ζ39−ζ21+ζ39ζ29−ζ31−ζ29+ζ31−ζ23+ζ37ζ23−ζ37−ζ7+ζ13ζ7−ζ13000000
χ382-2-222-200−1−52−1+52−1−521+52−1+521−521+521−52ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ380−22−22−1−521+52−1+521−52ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ21+ζ39ζ21−ζ39−ζ29+ζ31ζ29−ζ31ζ23−ζ37−ζ23+ζ37ζ7−ζ13−ζ7+ζ13−ζ21+ζ39ζ21−ζ39−ζ29+ζ31ζ29−ζ31ζ23−ζ37−ζ23+ζ37ζ7−ζ13−ζ7+ζ13000000
χ392-2-222-200−1−52−1+52−1−521+52−1+521−521+521−52−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ3802−22−2−1−521+52−1+521−52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ29−ζ31−ζ29+ζ31ζ21−ζ39−ζ21+ζ39−ζ7+ζ13ζ7−ζ13−ζ23+ζ37ζ23−ζ37ζ29−ζ31−ζ29+ζ31ζ21−ζ39−ζ21+ζ39−ζ7+ζ13ζ7−ζ13−ζ23+ζ37ζ23−ζ37000000
χ402-2-222-200−1−52−1+52−1−521+52−1+521−521+521−52−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ380−22−22−1−521+52−1+521−52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ29+ζ31ζ29−ζ31−ζ21+ζ39ζ21−ζ39ζ7−ζ13−ζ7+ζ13ζ23−ζ37−ζ23+ζ37−ζ29+ζ31ζ29−ζ31−ζ21+ζ39ζ21−ζ39ζ7−ζ13−ζ7+ζ13ζ23−ζ37−ζ23+ζ37000000
χ412-2-22-2200222-22-2-2-20000000002−2−22-22-2200002−22−22−22−2−22−22−22−22000000
χ422-2-22-2200222-22-2-2-2000000000−222−2-22-220000−22−22−22−222−22−22−22−2000000
χ432-2-22-2200−1+52−1−52−1+521−52−1−521+521−521+52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ1402−2−221−52−1+521+52−1−52ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ7+ζ13ζ7−ζ13−ζ23+ζ37ζ23−ζ37ζ21−ζ39−ζ21+ζ39ζ29−ζ31−ζ29+ζ31ζ7−ζ13−ζ7+ζ13ζ23−ζ37−ζ23+ζ37−ζ21+ζ39ζ21−ζ39−ζ29+ζ31ζ29−ζ31000000
χ442-2-22-2200−1+52−1−52−1+521−52−1−521+521−521+52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ140−222−21−52−1+521+52−1−52ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ7−ζ13−ζ7+ζ13ζ23−ζ37−ζ23+ζ37−ζ21+ζ39ζ21−ζ39−ζ29+ζ31ζ29−ζ31−ζ7+ζ13ζ7−ζ13−ζ23+ζ37ζ23−ζ37ζ21−ζ39−ζ21+ζ39ζ29−ζ31−ζ29+ζ31000000
χ452-2-22-2200−1+52−1−52−1+521−52−1−521+521−521+52ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ1402−2−221−52−1+521+52−1−52−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ23+ζ37ζ23−ζ37−ζ7+ζ13ζ7−ζ13ζ29−ζ31−ζ29+ζ31ζ21−ζ39−ζ21+ζ39ζ23−ζ37−ζ23+ζ37ζ7−ζ13−ζ7+ζ13−ζ29+ζ31ζ29−ζ31−ζ21+ζ39ζ21−ζ39000000
χ462-2-22-2200−1+52−1−52−1+521−52−1−521+521−521+52ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ140−222−21−52−1+521+52−1−52−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ23−ζ37−ζ23+ζ37ζ7−ζ13−ζ7+ζ13−ζ29+ζ31ζ29−ζ31−ζ21+ζ39ζ21−ζ39−ζ23+ζ37ζ23−ζ37−ζ7+ζ13ζ7−ζ13ζ29−ζ31−ζ29+ζ31ζ21−ζ39−ζ21+ζ39000000
χ472-2-22-2200−1−52−1+52−1−521+52−1+521−521+521−52ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ3802−2−221+52−1−521−52−1+52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ21−ζ39−ζ21+ζ39ζ29−ζ31−ζ29+ζ31−ζ23+ζ37ζ23−ζ37−ζ7+ζ13ζ7−ζ13−ζ21+ζ39ζ21−ζ39−ζ29+ζ31ζ29−ζ31ζ23−ζ37−ζ23+ζ37ζ7−ζ13−ζ7+ζ13000000
χ482-2-22-2200−1−52−1+52−1−521+52−1+521−521+521−52ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ380−222−21+52−1−521−52−1+52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ21+ζ39ζ21−ζ39−ζ29+ζ31ζ29−ζ31ζ23−ζ37−ζ23+ζ37ζ7−ζ13−ζ7+ζ13ζ21−ζ39−ζ21+ζ39ζ29−ζ31−ζ29+ζ31−ζ23+ζ37ζ23−ζ37−ζ7+ζ13ζ7−ζ13000000
χ492-2-22-2200−1−52−1+52−1−521+52−1+521−521+521−52−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ3802−2−221+52−1−521−52−1+52ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ29−ζ31−ζ29+ζ31ζ21−ζ39−ζ21+ζ39−ζ7+ζ13ζ7−ζ13−ζ23+ζ37ζ23−ζ37−ζ29+ζ31ζ29−ζ31−ζ21+ζ39ζ21−ζ39ζ7−ζ13−ζ7+ζ13ζ23−ζ37−ζ23+ζ37000000
χ502-2-22-2200−1−52−1+52−1−521+52−1+521−521+521−52−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ380−222−21+52−1−521−52−1+52ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ29+ζ31ζ29−ζ31−ζ21+ζ39ζ21−ζ39ζ7−ζ13−ζ7+ζ13ζ23−ζ37−ζ23+ζ37ζ29−ζ31−ζ29+ζ31ζ21−ζ39−ζ21+ζ39−ζ7+ζ13ζ7−ζ13−ζ23+ζ37ζ23−ζ37000000
χ5144-4-4000044-44-44-4-40000000000000000000000000000000000000000000
χ5244-4-40000−1+5−1−51−5−1+51+5−1−51−51+5−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000000000000000
χ5344-4-40000−1+5−1−51−5−1+51+5−1−51−51+52ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000000000000000
χ5444-4-40000−1−5−1+51+5−1−51−5−1+51+51−52ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ3800000000000000000000000000000000000
χ5544-4-40000−1−5−1+51+5−1−51−5−1+51+51−5−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ3800000000000000000000000000000000000
χ564-44-4004-4−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1+51−51−5−1−5−1−51+51+500000000000000000000000000000000000
χ574-44-4004-4−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1−51+51+5−1+5−1+51−51−500000000000000000000000000000000000
χ584-44-400-44−1+5−1−51−51−51+51+5−1+5−1−51−51−5−1+5−1+51+51+5−1−5−1−500000000000000000000000000000000000
χ594-44-400-44−1−5−1+51+51+51−51−5−1−5−1+51+51+5−1−5−1−51−51−5−1+5−1+500000000000000000000000000000000000

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