Finite Group Databasebeta

← Group #12159495

Character table — Group #12159495

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111122222222222222222222444444444444448888888888888888888888888888888881010101016161616161616161616161616161616162020202020202020202020204040404040404080
order1222222244445510101010101010101010101010104488882020202020202020444444488202020202020202040404040404040404040404040404040444421010101020202020202020202020202044444444888844444884
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
χ3111111111111111111111111111111111111111111-1-1-1-11-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-111-1
χ4111111111111111111111111111111111111111111-1-1-1-11-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-11
χ5111111111111111111111111111111-1-1-1-11111111111-1-1111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1111-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-11111111111-1-1111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111
χ7111111111111111111111111111111-1-1-1-111111111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11-1-111-1-11
χ8111111111111111111111111111111-1-1-1-111111111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-111-1-111-1
χ91111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-11
χ101111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11111-1
χ111111111111111111111111111111-1-1111111111111-1-111-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-11111111111-1-1-111-1-1-1
χ121111111111111111111111111111-1-1111111111111-1-111-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1111
χ131111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1111111-1
χ141111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111111-1-1-1-1-1-11
χ151111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111
χ161111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111-1-1-1
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+52−1−52−1−52-2-2-2-22-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−5222-2-2222-2-2−1+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+520000-21−521−521+521+52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52-2-2222-2-2-2-2−1+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+5200002−1+52−1+52−1−52−1−521−521−521+521+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+52−1−52−1−52-2-222-222-2-21−521−521+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+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+52−1−52−1−522222-2-2-2221−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+52−1−52−1−52-2-2-2-2-222221−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002−1+52−1+52−1−52−1−521−521−521+521+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+52-2-2-2-22-2-222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+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+5222-2-2222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000-21+521+521−521−52−1−52−1−52−1+52−1+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+52-2-2222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200002−1−52−1−52−1+52−1+521+521+521−521−521+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+52-2-222-222-2-21+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+521−521−521−521−520000-21+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+522222-2-2-2221+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+520000-21+521+521−521−52−1−52−1−52−1+52−1+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+52-2-2-2-2-222221+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+5200002−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ3322222222-2-2-2-22222222222222222220000-2-2-2-2-2-2-2-20000-20000-2-2-2-222220000000000000000222200000000000000000220000-2-20000-20000000
χ3422222222-2-2-2-22222222222222222220000-2-2-2-2-2-2-2-20000-20000-2-2-2-222220000000000000000-2-2-2-200000000000000000-2-2000022000020000000
χ3522222222-2-2-2-22222222222222222-2-20000-2-2-2-2-2-2-2-20000200002222-2-2-2-20000000000000000222200000000000000000-2-20000-2-2000020000000
χ3622222222-2-2-2-22222222222222222-2-20000-2-2-2-2-2-2-2-20000200002222-2-2-2-20000000000000000-2-2-2-200000000000000000220000220000-20000000
χ3722-2-222-2-2-22-222222-222-2-2-2-2-22-22-2002i2i−2i−2i2-22-22-22-2000000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000022-2-20000000002i−2i000
χ3822-2-222-2-2-22-222222-222-2-2-2-2-22-22-2002i2i−2i−2i2-22-22-22-2000000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000-2-222000000000−2i2i000
χ3922-2-222-2-2-22-222222-222-2-2-2-2-22-22-200−2i−2i2i2i2-22-22-22-200000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000022-2-2000000000−2i2i000
χ4022-2-222-2-2-22-222222-222-2-2-2-2-22-22-200−2i−2i2i2i2-22-22-22-200000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000-2-2220000000002i−2i000
χ412-222-22-2-22-2-2222-2-22-2-22-2-2222-22-20000002222-2-2-2-2000002i−2i000000000000000000000000002i2i−2i−2i0000000002i−2i2i−2i0000002-22-22i−2i000000000000
χ422-222-22-2-22-2-2222-2-22-2-22-2-2222-22-20000002222-2-2-2-2000002i−2i00000000000000000000000000−2i−2i2i2i0000000002i−2i2i−2i000000-22-22−2i2i000000000000
χ432-222-22-2-22-2-2222-2-22-2-22-2-2222-22-20000002222-2-2-2-200000−2i2i000000000000000000000000002i2i−2i−2i000000000−2i2i−2i2i000000-22-222i−2i000000000000
χ442-222-22-2-22-2-2222-2-22-2-22-2-2222-22-20000002222-2-2-2-200000−2i2i00000000000000000000000000−2i−2i2i2i000000000−2i2i−2i2i0000002-22-2−2i2i000000000000
χ452-222-22-2-2-222-222-2-22-2-22-2-2222-22-2000000-2-2-2-222222-200000000000000000000000000000002i2i−2i−2i000002-22-200000000000000−2i2i000002i−2i00000
χ462-222-22-2-2-222-222-2-22-2-22-2-2222-22-2000000-2-2-2-222222-20000000000000000000000000000000−2i−2i2i2i000002-22-2000000000000002i−2i00000−2i2i00000
χ472-222-22-2-2-222-222-2-22-2-22-2-2222-22-2000000-2-2-2-22222-2200000000000000000000000000000002i2i−2i−2i00000-22-2200000000000000−2i2i00000−2i2i00000
χ482-222-22-2-2-222-222-2-22-2-22-2-2222-22-2000000-2-2-2-22222-220000000000000000000000000000000−2i−2i2i2i00000-22-22000000000000002i−2i000002i−2i00000
χ492-2-222-22-20000222-2-22-2-22222-2-2-2-22i−2i2−22−2000000000000000i2−i200002i−2i2i−2i2−22−22−22−2i2i2−i2−i2i2i2−i2−i22-22-2000000000000000002i−2i00000022−2−200000i2−i20
χ502-2-222-22-20000222-2-22-2-22222-2-2-2-22i−2i2−22−2000000000000000i2−i200002i−2i2i−2i2−22−22−22−2i2i2−i2−i2i2i2−i2−i2-22-2200000000000000000−2i2i000000−2−22200000−i2i20
χ512-2-222-22-20000222-2-22-2-22222-2-2-2-22i−2i−22−22000000000000000−i2i200002i−2i2i−2i−22−22−22−22−i2−i2i2i2−i2−i2i2i22-22-2000000000000000002i−2i000000−2−22200000−i2i20
χ522-2-222-22-20000222-2-22-2-22222-2-2-2-22i−2i−22−22000000000000000−i2i200002i−2i2i−2i−22−22−22−22−i2−i2i2i2−i2−i2i2i2-22-2200000000000000000−2i2i00000022−2−200000i2−i20
χ532-2-222-22-20000222-2-22-2-22222-2-2-2-2−2i2i2−22−2000000000000000−i2i20000−2i2i−2i2i2−22−22−22−2−i2−i2i2i2−i2−i2i2i22-22-200000000000000000−2i2i00000022−2−200000−i2i20
χ542-2-222-22-20000222-2-22-2-22222-2-2-2-2−2i2i2−22−2000000000000000−i2i20000−2i2i−2i2i2−22−22−22−2−i2−i2i2i2−i2−i2i2i2-22-22000000000000000002i−2i000000−2−22200000i2−i20
χ552-2-222-22-20000222-2-22-2-22222-2-2-2-2−2i2i−22−22000000000000000i2−i20000−2i2i−2i2i−22−22−22−22i2i2−i2−i2i2i2−i2−i22-22-200000000000000000−2i2i000000−2−22200000i2−i20
χ562-2-222-22-20000222-2-22-2-22222-2-2-2-2−2i2i−22−22000000000000000i2−i20000−2i2i−2i2i−22−22−22−22i2i2−i2−i2i2i2−i2−i2-22-22000000000000000002i−2i00000022−2−200000−i2i20
χ572-2-2-2-2222-2-22222-2-2-2-2-2-222-2-222220000002-22-2-22-22002-200000000000000000000000000000000000000000000002-22-2002-2-22002-22-200000000
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χ1064-4-4-4-444444-4-4−1+5−1−51−51−51−51+51+51+5−1+5−1−51−51+5−1+5−1+5−1−5−1−50000001−5−1+51+5−1−5−1+51−5−1−51+500000000000000000000000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000
χ1074-4-4-4-444444-4-4−1−5−1+51+51+51+51−51−51−5−1−5−1+51+51−5−1−5−1−5−1+5−1+50000001+5−1−51−5−1+5−1−51+5−1+51−500000000000000000000000000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000
χ1084-4-4-4-444444-4-4−1−5−1+51+51+51+51−51−51−5−1−5−1+51+51−5−1−5−1−5−1+5−1+50000001+5−1−51−5−1+5−1−51+5−1+51−5000000000000000000000000000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000
χ1094-4-4-4-4444-4-444−1+5−1−51−51−51−51+51+51+5−1+5−1−51−51+5−1+5−1+5−1−5−1−5000000−1+51−5−1−51+51−5−1+51+5−1−5004-40000000000000000000000000000000000000000000000−1+51−5−1−51+500000000000000000000
χ1104-4-4-4-4444-4-444−1+5−1−51−51−51−51+51+51+5−1+5−1−51−51+5−1+5−1+5−1−5−1−5000000−1+51−5−1−51+51−5−1+51+5−1−500-4400000000000000000000000000000000000000000000001−5−1+51+5−1−500000000000000000000
χ1114-4-4-4-4444-4-444−1−5−1+51+51+51+51−51−51−5−1−5−1+51+51−5−1−5−1−5−1+5−1+5000000−1−51+5−1+51−51+5−1−51−5−1+5004-40000000000000000000000000000000000000000000000−1−51+5−1+51−500000000000000000000
χ1124-4-4-4-4444-4-444−1−5−1+51+51+51+51−51−51−5−1−5−1+51+51−5−1−5−1−5−1+5−1+5000000−1−51+5−1+51−51+5−1−51−5−1+500-4400000000000000000000000000000000000000000000001+5−1−51−5−1+500000000000000000000
χ113888-8-8-88-80000−2+25−2−252−25−2+25−2+252+25−2−25−2−25−2+25−2−252−252+252−252−252+252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ114888-8-8-88-80000−2−25−2+252+25−2−25−2−252−25−2+25−2+25−2−25−2+252+252−252+252+252−252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11588-88-8-8-880000−2+25−2−252−25−2+252−252+25−2−252+252−252+25−2+25−2−252−25−2+252+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11688-88-8-8-880000−2−25−2+252+25−2−252+252−25−2+252−252+252−25−2−25−2+252+25−2−252−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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