Finite Group Databasebeta

← Group #12134148

Character table — Group #12134148

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111122222222222222222222444444444444448888888888888888888888888888888881010101016161616161616161616161616161616162020202020202020202020204040404040404080
order1222222244445510101010101010101010101010104488882020202020202020222244488202020202020202040404040404040404040404040404040444441010101010101010202020202020202044444444888844444884
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
χ3111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-1-111-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-111-1-11
χ5111111111111111111111111111111-1-1-1-1111111111111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-1111111111111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111
χ7111111111111111111111111111111-1-1-1-111111111-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111-1-11
χ8111111111111111111111111111111-1-1-1-111111111-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-111-1
χ91111111111111111111111111111-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-111-1-1-1
χ101111111111111111111111111111-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111-1-1111
χ111111111111111111111111111111-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-11
χ121111111111111111111111111111-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111111-1
χ131111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1111
χ141111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111111-1-1-1
χ151111111111111111111111111111-1-1-1-1-1-111111111-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-11111-1
χ161111111111111111111111111111-1-1-1-1-1-111111111-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111111111-1-11-1-1-1-11
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+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+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+521−521−521+521+52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−5222-2-222-2-2-21−521−521−521−521+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+520000-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
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+52−1−52−1−52-2-222-2-2-2-2-21−521−521−521−521+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+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
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+52−1−52−1−5222-2-2-2-2-2221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
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+52−1−52−1−52-2-22222-2221−521−521−521−521+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
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+52−1−52−1−52−1+52−1+521+521+521−521−521+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+521−521−521+521+521−521−52−1−52−1−52−1+52−1+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+5222-2-222-2-2-21+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+521−521−521−521−520000-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
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+52-2-222-2-2-2-2-21+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+521−521−521−521−52000021+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
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+5222-2-2-2-2-2221+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+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
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+52-2-22222-2221+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
χ3322222222-2-2-2-22222222222222222220000-2-2-2-2-2-2-2-2000000-20022-2-222-2-20000000000000000222200000000000000000-2-2220000000000-200000
χ3422222222-2-2-2-22222222222222222220000-2-2-2-2-2-2-2-2000000-20022-2-222-2-20000000000000000-2-2-2-20000000000000000022-2-20000000000200000
χ3522222222-2-2-2-22222222222222222-2-20000-2-2-2-2-2-2-2-2000000200-2-222-2-2220000000000000000222200000000000000000-2-2-2-20000000000200000
χ3622222222-2-2-2-22222222222222222-2-20000-2-2-2-2-2-2-2-2000000200-2-222-2-2220000000000000000-2-2-2-20000000000000000022220000000000-200000
χ37222-2-22-2-2-22-222222-222-2-2-2-2-2-2-222000000-2-2-2-2222200002-2000000000000000000000000000000000000000000002-22-200002i2i−2i−2i2i2i−2i−2i00000000
χ38222-2-22-2-2-22-222222-222-2-2-2-2-2-2-222000000-2-2-2-2222200002-2000000000000000000000000000000000000000000002-22-20000−2i−2i2i2i−2i−2i2i2i00000000
χ39222-2-22-2-2-22-222222-222-2-2-2-2-2-2-222000000-2-2-2-222220000-2200000000000000000000000000000000000000000000-22-2200002i2i−2i−2i−2i−2i2i2i00000000
χ40222-2-22-2-2-22-222222-222-2-2-2-2-2-2-222000000-2-2-2-222220000-2200000000000000000000000000000000000000000000-22-220000−2i−2i2i2i2i2i−2i−2i00000000
χ4122-2-22-22-20000222-222-222-22-2-2-2-2-22-2i2i2−i2−i2000000000000000i2−i22-2002-200i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22i2i−2i−2i00000000000000000002i−2i00002−22−2000002−20
χ4222-2-22-22-20000222-222-222-22-2-2-2-2-22-2i2i2−i2−i2000000000000000i2−i22-2002-200i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−2i−2i2i2i0000000000000000000−2i2i0000−22−2200000−220
χ4322-2-22-22-20000222-222-222-22-2-2-2-2-22-2−i2−i2i2i2000000000000000−i2i22-2002-200−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22i2i−2i−2i00000000000000000002i−2i0000−22−2200000−220
χ4422-2-22-22-20000222-222-222-22-2-2-2-2-22-2−i2−i2i2i2000000000000000−i2i22-2002-200−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−2i−2i2i2i0000000000000000000−2i2i00002−22−2000002−20
χ4522-2-22-22-20000222-222-222-22-2-2-2-2-2-22i2i2−i2−i2000000000000000−i2i2-2200-2200i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i22i2i−2i−2i0000000000000000000−2i2i00002−22−200000−220
χ4622-2-22-22-20000222-222-222-22-2-2-2-2-2-22i2i2−i2−i2000000000000000−i2i2-2200-2200i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−2i−2i2i2i00000000000000000002i−2i0000−22−22000002−20
χ4722-2-22-22-20000222-222-222-22-2-2-2-2-2-22−i2−i2i2i2000000000000000i2−i2-2200-2200−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i22i2i−2i−2i0000000000000000000−2i2i0000−22−22000002−20
χ4822-2-22-22-20000222-222-222-22-2-2-2-2-2-22−i2−i2i2i2000000000000000i2−i2-2200-2200−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−2i−2i2i2i00000000000000000002i−2i00002−22−200000−220
χ492-2-2222-2-222-2-222-2-22-2-22-2-2-2-22222002-22-22-22-22-22-2000000000000000002-22-22-22-20000000000000000000000000000000002i−2i2i−2i00000002i−2i000
χ502-2-2222-2-222-2-222-2-22-2-22-2-2-2-22222002-22-22-22-22-22-2000000000000000002-22-22-22-2000000000000000000000000000000000−2i2i−2i2i0000000−2i2i000
χ512-2-2222-2-222-2-222-2-22-2-22-2-2-2-2222200-22-222-22-22-22-200000000000000000-22-22-22-220000000000000000000000000000000002i−2i2i−2i0000000−2i2i000
χ522-2-2222-2-222-2-222-2-22-2-22-2-2-2-2222200-22-222-22-22-22-200000000000000000-22-22-22-22000000000000000000000000000000000−2i2i−2i2i00000002i−2i000
χ532-2-2-2-22222-2-2222-2-2-2-2-2-22222-2-2220000002-22-2-22-22002-2000000000000000000000000000002-22-2000002-22-2000000002-200000000002-2000000
χ542-2-2-2-22222-2-2222-2-2-2-2-2-22222-2-2220000002-22-2-22-22002-200000000000000000000000000000-22-22000002-22-200000000-220000000000-22000000
χ552-2-2-2-22222-2-2222-2-2-2-2-2-22222-2-2220000002-22-2-22-2200-22000000000000000000000000000002-22-200000-22-22000000002-20000000000-22000000
χ562-2-2-2-22222-2-2222-2-2-2-2-2-22222-2-2220000002-22-2-22-2200-2200000000000000000000000000000-22-2200000-22-2200000000-2200000000002-2000000
χ572-2-2-2-2222-222-222-2-2-2-2-2-22222-2-222000000-22-222-22-22-200000000000000000000000000000002-22-202-22-2000000000000-22002-2-22000000000000
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χ1084-4-4-4-44444-4-44−1−5−1+51+51+51+51−51−51−5−1−5−1−5−1+5−1+51+51−5−1−5−1+5000000−1−51+5−1+51−51+5−1−51−5−1+500-44000000000000000000000000000000000000001+5−1−51−5−1+50000000000000000000000000000
χ1094-4-4-4-4444-444-4−1+5−1−51−51−51−51+51+51+5−1+5−1+5−1−5−1−51−51+5−1+5−1−50000001−5−1+51+5−1−5−1+51−5−1−51+54-4000000000000000000000000000000000000−1+51−5−1−51+500000000000000000000000000000000
χ1104-4-4-4-4444-444-4−1+5−1−51−51−51−51+51+51+5−1+5−1+5−1−5−1−51−51+5−1+5−1−50000001−5−1+51+5−1−5−1+51−5−1−51+5-440000000000000000000000000000000000001−5−1+51+5−1−500000000000000000000000000000000
χ1114-4-4-4-4444-444-4−1−5−1+51+51+51+51−51−51−5−1−5−1−5−1+5−1+51+51−5−1−5−1+50000001+5−1−51−5−1+5−1−51+5−1+51−54-4000000000000000000000000000000000000−1−51+5−1+51−500000000000000000000000000000000
χ1124-4-4-4-4444-444-4−1−5−1+51+51+51+51−51−51−5−1−5−1−5−1+5−1+51+51−5−1−5−1+50000001+5−1−51−5−1+5−1−51+5−1+51−5-440000000000000000000000000000000000001+5−1−51−5−1+500000000000000000000000000000000
χ11388-88-8-8-880000−2+25−2−25−2+252−252−25−2−252+252+252−25−2+252+25−2−25−2+25−2−252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11488-88-8-8-880000−2−25−2+25−2−252+252+25−2+252−252−252+25−2−252−25−2+25−2−25−2+252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-888-8-88-80000−2+25−2−252−25−2+252−252+25−2−252+25−2+252−25−2−252+25−2+25−2−252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-888-8-88-80000−2−25−2+252+25−2−252+252−25−2+252−25−2−252+25−2+252−25−2−25−2+252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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