Finite Group Databasebeta

← Group #12143538

Character table — Group #12143538

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107
size1111222222222222222222222244444444444488888888888888888888888888888888881616161616161616161616161616161616202020202020202040404040404040408080
order1222224444551010101010101010101010101010888820202020202020204444444488202020202020202040404040404040404040404040404040420202020202020202020202020202020224444442244888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-11-111-1-11-1
χ411111111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-11-1-111-11
χ51111111111111111111111111111-1-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111-11-1-1-111-1-1
χ61111111111111111111111111111-1-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111
χ71111111111111111111111111111-1-111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-11
χ81111111111111111111111111111-1-111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111111-1
χ911111111111111111111111111-1-1111111111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-11
χ1011111111111111111111111111-1-1111111111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-11-1
χ1111111111111111111111111111-1-11111111111-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111111111-1-1-1-111111111-11-1111-1-1-1-1
χ1211111111111111111111111111-1-11111111111-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111
χ1311111111111111111111111111-1-1-1-11111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-11-11-1-1111-1
χ1411111111111111111111111111-1-1-1-11111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11-11-111-1-1-11
χ1511111111111111111111111111-1-1-1-111111111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111
χ1611111111111111111111111111-1-1-1-111111111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ172222222222−1+52−1−52−1+52−1+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+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ182222222222−1+52−1−52−1+52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-22222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000000000
χ192222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-22-21−521−521−521−521+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+52-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ202222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-222-2-22-21−521−521−521−521+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+5221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ212222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2-2-2-221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22222-2-2-221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ232222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-22222-2-2−1+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+52-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000000000
χ242222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-222-2-2−1+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+5221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ252222222222−1−52−1+52−1−52−1−52−1+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+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+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ262222222222−1−52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52-2-2-2-2-2-22222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000000000
χ272222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2-22-21+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+521−521−521−521−52-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ282222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-222-2-22-21+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+521−521−521−521−5221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ292222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2-2-2-221+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+522−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ302222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-22222-2-2-221+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+52-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ312222222222−1−52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+5222-2-22222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000000000
χ322222222222−1−52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52-2-222-2-222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ332222-2-22-2-2222-2-2-2-2-2-2-2-222222222002-22-22-22-200000000-200000000022-2-222-2-20000000000000000000000000220000-2-2-2020000000
χ342222-2-22-2-2222-2-2-2-2-2-2-2-222222222002-22-22-22-200000000-200000000022-2-222-2-20000000000000000000000000-2-200002220-20000000
χ352222-2-22-2-2222-2-2-2-2-2-2-2-2222222-2-2002-22-22-22-2000000002000000000-2-222-2-2220000000000000000000000000220000-2-220-20000000
χ362222-2-22-2-2222-2-2-2-2-2-2-2-2222222-2-2002-22-22-22-2000000002000000000-2-222-2-2220000000000000000000000000-2-2000022-2020000000
χ372222-2-2-222-222-2-2-2-2-2-2-2-22222220022-22-22-22-22000000000-2000000000000000022-2-222-2-2000000000000000000022-2-200020-2000000
χ382222-2-2-222-222-2-2-2-2-2-2-2-22222220022-22-22-22-22000000000-2000000000000000022-2-222-2-20000000000000000000-2-222000-202000000
χ392222-2-2-222-222-2-2-2-2-2-2-2-222222200-2-2-22-22-22-2200000000020000000000000000-2-222-2-222000000000000000000022-2-2000-202000000
χ402222-2-2-222-222-2-2-2-2-2-2-2-222222200-2-2-22-22-22-2200000000020000000000000000-2-222-2-2220000000000000000000-2-22200020-2000000
χ412-2-222-22-22-2222222-2-2-2-2-2-222-2-20000-2-2-2-222222i−2i0000000000000000000000000000000002i−2i2i−2i0000000000002-200002-20000002i−2i00
χ422-2-222-22-22-2222222-2-2-2-2-2-222-2-20000-2-2-2-222222i−2i0000000000000000000000000000000002i−2i2i−2i000000000000-220000-22000000−2i2i00
χ432-2-222-22-22-2222222-2-2-2-2-2-222-2-20000-2-2-2-22222−2i2i000000000000000000000000000000000−2i2i−2i2i0000000000002-200002-2000000−2i2i00
χ442-2-222-22-22-2222222-2-2-2-2-2-222-2-20000-2-2-2-22222−2i2i000000000000000000000000000000000−2i2i−2i2i000000000000-220000-220000002i−2i00
χ452-2-222-2-22-22222222-2-2-2-2-2-222-2-200002222-2-2-2-200002-20000000000000000000000000000000002-22-200000000002i−2i2i−2i0000002i−2i0000
χ462-2-222-2-22-22222222-2-2-2-2-2-222-2-200002222-2-2-2-200002-20000000000000000000000000000000002-22-20000000000−2i2i−2i2i000000−2i2i0000
χ472-2-222-2-22-22222222-2-2-2-2-2-222-2-200002222-2-2-2-20000-22000000000000000000000000000000000-22-2200000000002i−2i2i−2i000000−2i2i0000
χ482-2-222-2-22-22222222-2-2-2-2-2-222-2-200002222-2-2-2-20000-22000000000000000000000000000000000-22-220000000000−2i2i−2i2i0000002i−2i0000
χ492-2-22-2222-2-222-2-2-2-22222-2-222-2-20000-22-222-22-2002i−2i0000000000000000000000000000000000000002i−2i2i−2i00002-22i−2i−2i2i-220000000000
χ502-2-22-2222-2-222-2-2-2-22222-2-222-2-20000-22-222-22-2002i−2i0000000000000000000000000000000000000002i−2i2i−2i0000-22−2i2i2i−2i2-20000000000
χ512-2-22-2222-2-222-2-2-2-22222-2-222-2-20000-22-222-22-200−2i2i000000000000000000000000000000000000000−2i2i−2i2i00002-2−2i2i2i−2i-220000000000
χ522-2-22-2222-2-222-2-2-2-22222-2-222-2-20000-22-222-22-200−2i2i000000000000000000000000000000000000000−2i2i−2i2i0000-222i−2i−2i2i2-20000000000
χ53444444-4-4-4-444444444444444440000-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000
χ54444444-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1−5−1+5−1−5−1+5−1−500001−51−51+51+51−51−51+51+500000000002ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ28−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36000000000000000000000000000000000000000000000000000
χ55444444-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1−5−1+5−1−5−1+5−1−500001−51−51+51+51−51−51+51+50000000000−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ282ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ36000000000000000000000000000000000000000000000000000
χ56444444-4-4-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1+5−1−5−1+5−1−5−1+500001+51+51−51−51+51+51−51−50000000000−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28000000000000000000000000000000000000000000000000000
χ57444444-4-4-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1+5−1−5−1+5−1−5−1+500001+51+51−51−51+51+51−51−500000000002ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ28000000000000000000000000000000000000000000000000000
χ584444-4-44-4-44−1+5−1−51−51−51+51+51−51−51+51+5−1+5−1−5−1+5−1−5−1+5−1−54400−1+51−5−1−51+5−1+51−5−1−51+500000000-4000000000−1+5−1+51−51−5−1−5−1−51+51+50000000000000000000000000000000000000000000
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χ10488-8-8000000−2+25−2−254ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ36−2+25−2−252−252+252−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8000000−2+25−2−25−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ36−2+25−2−252−252+252−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8000000−2−25−2+25−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ28−2−25−2+252+252−252+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8000000−2−25−2+254ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ28−2−25−2+252+252−252+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.