Finite Group Databasebeta

← Group #12159503

Character table — Group #12159503

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111122222222222222222222444444444444448888888888888888888888888888888881010101016161616161616161616161616161616162020202020202020202020204040404040404080
order1222222244445510101010101010101010101010104488882020202020202020444444488202020202020202040404040404040404040404040404040444442020202020202020202020202020202044444444888844444882
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-111-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-11
χ5111111111111111111111111111111-1-1-1-1111111111111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1111-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-1111111111111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111
χ7111111111111111111111111111111-1-1-1-111111111-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111-1-11
χ8111111111111111111111111111111-1-1-1-111111111-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-111111111-111-1-111-1
χ91111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-1-11
χ101111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1-11111-1
χ111111111111111111111111111111-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-11111111111-1-1-111-1-1-1
χ121111111111111111111111111111-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1111
χ131111111111111111111111111111-1-1-1-1-1-11111111111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1111111-1
χ141111111111111111111111111111-1-1-1-1-1-11111111111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111111-1-1-1-1-1-11
χ151111111111111111111111111111-1-1-1-1-1-111111111-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111
χ161111111111111111111111111111-1-1-1-1-1-111111111-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111111-1-1-1
χ17222222222222−1+52−1−52−1+52−1+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+52−1−52222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ18222222222222−1+52−1−52−1+52−1+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+52−1−52-2-2-2-2-2-2222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000000000
χ19222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−522222-2-22-2-2−1+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+520000-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ20222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52-2-2-2-2222-2-2−1+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+52000021−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ21222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−5222-2-2-2-2-2-2-21−521−521+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+5200002−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000000000
χ22222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52-2-22222-2-2-21−521−521+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+520000-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ23222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−5222-2-222-2221−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ24222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52-2-222-2-2-2221−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000021−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ25222222222222−1−52−1+52−1−52−1−52−1+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+52222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ26222222222222−1−52−1+52−1−52−1−52−1+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+52-2-2-2-2-2-2222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000
χ27222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+522222-2-22-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ28222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52-2-2-2-2222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52000021+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ29222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+5222-2-2-2-2-2-2-21+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+521−521−521−521−5200002−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000000000
χ30222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52-2-22222-2-2-21+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+521−521−521−521−520000-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ31222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+5222-2-222-2221+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+520000-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ32222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52-2-222-2-2-2221+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+52000021+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ3322222222-2-2-2-22222222222222222220000-2-2-2-2-2-2-2-2000000-200-2-2-2-22222000000000000000022220000000000000000022-2-200000000-20000000
χ3422222222-2-2-2-22222222222222222220000-2-2-2-2-2-2-2-2000000-200-2-2-2-222220000000000000000-2-2-2-200000000000000000-2-2220000000020000000
χ3522222222-2-2-2-22222222222222222-2-20000-2-2-2-2-2-2-2-20000002002222-2-2-2-20000000000000000222200000000000000000-2-2-2-20000000020000000
χ3622222222-2-2-2-22222222222222222-2-20000-2-2-2-2-2-2-2-20000002002222-2-2-2-20000000000000000-2-2-2-200000000000000000222200000000-20000000
χ37222-2-2-2-22-222-2222-22-22-22-22-22-2-2-20000002-2-22-2-22200002i−2i000000000000000000000000000000000000000000002i−2i2i−2i000022-2-22i2i−2i−2i00000000
χ38222-2-2-2-22-222-2222-22-22-22-22-22-2-2-20000002-2-22-2-22200002i−2i000000000000000000000000000000000000000000002i−2i2i−2i0000-2-222−2i−2i2i2i00000000
χ39222-2-2-2-22-222-2222-22-22-22-22-22-2-2-20000002-2-22-2-2220000−2i2i00000000000000000000000000000000000000000000−2i2i−2i2i000022-2-2−2i−2i2i2i00000000
χ40222-2-2-2-22-222-2222-22-22-22-22-22-2-2-20000002-2-22-2-2220000−2i2i00000000000000000000000000000000000000000000−2i2i−2i2i0000-2-2222i2i−2i−2i00000000
χ412-22-22-22-2000022-2-2-2-2-22-222222-2-22i−2i22−2−2000000000000000i2−i200002i−2i2i−2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i222-2-2000000000000000002i−2i0000002−22−200000i2−i20
χ422-22-22-22-2000022-2-2-2-2-22-222222-2-22i−2i22−2−2000000000000000i2−i200002i−2i2i−2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i2-2-22200000000000000000−2i2i000000−22−2200000−i2i20
χ432-22-22-22-2000022-2-2-2-2-22-222222-2-22i−2i−2−222000000000000000−i2i200002i−2i2i−2i−2−222−2−222−i2−i2i2i2−i2−i2i2i222-2-2000000000000000002i−2i000000−22−2200000−i2i20
χ442-22-22-22-2000022-2-2-2-2-22-222222-2-22i−2i−2−222000000000000000−i2i200002i−2i2i−2i−2−222−2−222−i2−i2i2i2−i2−i2i2i2-2-22200000000000000000−2i2i0000002−22−200000i2−i20
χ452-22-22-22-2000022-2-2-2-2-22-222222-2-2−2i2i22−2−2000000000000000−i2i20000−2i2i−2i2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i222-2-200000000000000000−2i2i0000002−22−200000−i2i20
χ462-22-22-22-2000022-2-2-2-2-22-222222-2-2−2i2i22−2−2000000000000000−i2i20000−2i2i−2i2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i2-2-222000000000000000002i−2i000000−22−2200000i2−i20
χ472-22-22-22-2000022-2-2-2-2-22-222222-2-2−2i2i−2−222000000000000000i2−i20000−2i2i−2i2i−2−222−2−222i2i2−i2−i2i2i2−i2−i222-2-200000000000000000−2i2i000000−22−2200000i2−i20
χ482-22-22-22-2000022-2-2-2-2-22-222222-2-2−2i2i−2−222000000000000000i2−i20000−2i2i−2i2i−2−222−2−222i2i2−i2−i2i2i2−i2−i2-2-222000000000000000002i−2i0000002−22−200000−i2i20
χ492-2-222-2-2222-2-222-22-222-22-2-22-22-2-2000000-22-2-22-222002i−2i000000000000000000000000000002i−2i2i−2i0000000002i−2i2i−2i0000002i−2i2-22-2000000000000
χ502-2-222-2-2222-2-222-22-222-22-2-22-22-2-2000000-22-2-22-222002i−2i00000000000000000000000000000−2i2i−2i2i0000000002i−2i2i−2i000000−2i2i-22-22000000000000
χ512-2-222-2-2222-2-222-22-222-22-2-22-22-2-2000000-22-2-22-22200−2i2i000000000000000000000000000002i−2i2i−2i000000000−2i2i−2i2i0000002i−2i-22-22000000000000
χ522-2-222-2-2222-2-222-22-222-22-2-22-22-2-2000000-22-2-22-22200−2i2i00000000000000000000000000000−2i2i−2i2i000000000−2i2i−2i2i000000−2i2i2-22-2000000000000
χ532-2-222-2-22-2-22222-22-222-22-2-22-22-2-20000002-222-22-2-22-200000000000000000000000000000002i−2i2i−2i02-22-200000000000000−2i2i0000000002i−2i00000
χ542-2-222-2-22-2-22222-22-222-22-2-22-22-2-20000002-222-22-2-22-20000000000000000000000000000000−2i2i−2i2i02-22-2000000000000002i−2i000000000−2i2i00000
χ552-2-222-2-22-2-22222-22-222-22-2-22-22-2-20000002-222-22-2-2-2200000000000000000000000000000002i−2i2i−2i0-22-2200000000000000−2i2i000000000−2i2i00000
χ562-2-222-2-22-2-22222-22-222-22-2-22-22-2-20000002-222-22-2-2-220000000000000000000000000000000−2i2i−2i2i0-22-22000000000000002i−2i0000000002i−2i00000
χ572-2-2-2-2222-22-2222-2-2-2-22222-2-2-2-222002-22-2-2-22-2-2222000000000000000002-22-22-22-20000000000000000000000000000000002-2-2200000002-2000
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χ1074-4-4-4-44444-44-4−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1+5000000−1−5−1−51+5−1+5−1+51−51+51−500000000000000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ3800000000000000000000000000000000000000000
χ1084-4-4-4-44444-44-4−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1+5000000−1−5−1−51+5−1+5−1+51−51+51−50000000000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ3800000000000000000000000000000000000000000
χ1094-4-4-4-4444-44-44−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1−5004-44-41−51−5−1+51+51+5−1−5−1+5−1−500000000000000000−1+51−5−1+51−5−1−51+5−1−51+50000000000000000000000000000000000000000000000000
χ1104-4-4-4-4444-44-44−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1−500-44-441−51−5−1+51+51+5−1−5−1+5−1−5000000000000000001−5−1+51−5−1+51+5−1−51+5−1−50000000000000000000000000000000000000000000000000
χ1114-4-4-4-4444-44-44−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1+5004-44-41+51+5−1−51−51−5−1+5−1−5−1+500000000000000000−1−51+5−1−51+5−1+51−5−1+51−50000000000000000000000000000000000000000000000000
χ1124-4-4-4-4444-44-44−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1+500-44-441+51+5−1−51−51−5−1+5−1−5−1+5000000000000000001+5−1−51+5−1−51−5−1+51−5−1+50000000000000000000000000000000000000000000000000
χ11388-8-888-8-80000−2+25−2−25−2+252−25−2−252+252−252−252+252+252−25−2+252+25−2−25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11488-8-888-8-80000−2−25−2+25−2−252+25−2+252−252+252+252−252−252+25−2−252−25−2+25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-888-88-8-80000−2+25−2−252−25−2+252+25−2−252−252−252+252+25−2+252−25−2−252+25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-888-88-8-80000−2−25−2+252+25−2−252−25−2+252+252+252−252−25−2−252+25−2+252−25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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