Finite Group Databasebeta

← Group #12254640

Character table — Group #12254640

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111222222222222224444444444444444444444448888888888888888888888881010101010101010101010101616161620202020202020202020323232323232323280808080
order122244558888101010101010448816161616161616162020202040404040404040402020202040404040808080808080808080808080808080802244161616161616161624444488881616161610102020202020204444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1111111-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-1-1-111111111-1-1-1-111-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ9111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-11-11-1
χ10111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-111-11-11
χ11111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-111-1-1-11-11
χ12111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1111-11-1
χ13111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-1-1-111-1-1111111-1-1-1-111-111-1
χ14111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-11111-1-11-1-11
χ15111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-11-111-1-111-1-1-1-111-1-1-1-1111-1-11
χ16111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-11-1111-1-111-1-1-1-1-1-11111-1-1-111-1
χ1722222222-2-2-2-222222222-2-2000000002222-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000222200000000000022-2-2-2-20000000000000000
χ1822222222-2-2-2-222222222-2-2000000002222-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000-2-2-2-2000000000000-2-222220000000000000000
χ1922222222-2-2-2-2222222-2-222000000002222-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000002222000000000000-2-2-2-2220000000000000000
χ2022222222-2-2-2-2222222-2-222000000002222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000-2-2-2-20000000000002222-2-20000000000000000
χ21222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000022220000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000
χ22222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000-2-2-2-200000000001−521+521−521+521−521+521−521+520000
χ23222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+520000000000002-2-220000000000−1+52−1−52−1+52−1−521−521+521−521+520000
χ24222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52000000000000-222-200000000001−521+521−521+52−1+52−1−52−1+52−1−520000
χ25222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+521−521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5200000000000022-2-20000000000−1+52−1−521−521+52−1+52−1−521−521+520000
χ26222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+521−521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52000000000000-2-22200000000001−521+52−1+52−1−521−521+52−1+52−1−520000
χ27222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+521−521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000002-22-20000000000−1+52−1−521−521+521−521+52−1+52−1−520000
χ28222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+521−521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000-22-2200000000001−521+52−1+52−1−52−1+52−1−521−521+520000
χ29222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000022220000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000
χ30222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000-2-2-2-200000000001+521−521+521−521+521−521+521−520000
χ31222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+522222-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000000000002-2-220000000000−1−52−1+52−1−52−1+521+521−521+521−520000
χ32222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+522222-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52000000000000-222-200000000001+521−521+521−52−1−52−1+52−1−52−1+520000
χ33222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−521+521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5200000000000022-2-20000000000−1−52−1+521+521−52−1−52−1+521+521−520000
χ34222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−521+521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52000000000000-2-22200000000001+521−52−1−52−1+521+521−52−1−52−1+520000
χ35222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+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+520000000000002-22-20000000000−1−52−1+521+521−521+521−52−1−52−1+520000
χ36222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+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+52000000000000-22-2200000000001+521−52−1−52−1+52−1−52−1+521+521−520000
χ372222-2-22200002222222-20022−2−222−2−2-2-2-2-20000000022-2-2000022−2−222−2−222−2−222−2−222-2-22222−2−2−2−20000-22000022−2−2000000000000
χ382222-2-22200002222222-20022−2−222−2−2-2-2-2-20000000022-2-2000022−2−222−2−222−2−222−2−2-2-222−2−2−2−2222200002-20000−2−222000000000000
χ392222-2-22200002222222-200−2−222−2−222-2-2-2-20000000022-2-20000−2−222−2−222−2−222−2−22222-2-2−2−2−2−222220000-220000−2−222000000000000
χ402222-2-22200002222222-200−2−222−2−222-2-2-2-20000000022-2-20000−2−222−2−222−2−222−2−222-2-2222222−2−2−2−200002-2000022−2−2000000000000
χ412222-2-2220000222222-220022−2−2−2−222-2-2-2-200000000-2-222000022−2−222−2−2−2−222−2−22222-2-22222−2−2−2−200002-20000−2−222000000000000
χ422222-2-2220000222222-220022−2−2−2−222-2-2-2-200000000-2-222000022−2−222−2−2−2−222−2−222-2-222−2−2−2−222220000-22000022−2−2000000000000
χ432222-2-2220000222222-2200−2−22222−2−2-2-2-2-200000000-2-2220000−2−222−2−22222−2−222−2−222-2-2−2−2−2−2222200002-2000022−2−2000000000000
χ442222-2-2220000222222-2200−2−22222−2−2-2-2-2-200000000-2-2220000−2−222−2−22222−2−222−2−2-2-2222222−2−2−2−20000-220000−2−222000000000000
χ452-2-222-2220000-2-222-2-2002-2i2−i2i2−i2i2−i2i2−i22-22-20000000000002-22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-22-2i2i2−i2−i2i2i2−i2−i2000000002-2i2−i2i2−i2000000000000
χ462-2-222-2220000-2-222-2-2002-2i2−i2i2−i2i2−i2i2−i22-22-20000000000002-22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2-22-22−i2−i2i2i2−i2−i2i2i200000000-22−i2i2−i2i2000000000000
χ472-2-222-2220000-2-222-2-2002-2−i2i2−i2i2−i2i2−i2i22-22-20000000000002-22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-22-2−i2−i2i2i2−i2−i2i2i2000000002-2−i2i2−i2i2000000000000
χ482-2-222-2220000-2-222-2-2002-2−i2i2−i2i2−i2i2−i2i22-22-20000000000002-22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2-22-22i2i2−i2−i2i2i2−i2−i200000000-22i2−i2i2−i2000000000000
χ492-2-222-2220000-2-222-2-200-22i2−i2i2−i2−i2i2−i2i22-22-2000000000000-22-22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i22-22-2i2i2−i2−i2i2i2−i2−i200000000-22−i2i2−i2i2000000000000
χ502-2-222-2220000-2-222-2-200-22i2−i2i2−i2−i2i2−i2i22-22-2000000000000-22-22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2-22-22−i2−i2i2i2−i2−i2i2i2000000002-2i2−i2i2−i2000000000000
χ512-2-222-2220000-2-222-2-200-22−i2i2−i2i2i2−i2i2−i22-22-2000000000000-22-22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i22-22-2−i2−i2i2i2−i2−i2i2i200000000-22i2−i2i2−i2000000000000
χ522-2-222-2220000-2-222-2-200-22−i2i2−i2i2i2−i2i2−i22-22-2000000000000-22-22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2-22-22i2i2−i2−i2i2i2−i2−i2000000002-2−i2i2−i2i2000000000000
χ532-2-22-222222-2-2-2-222-2-2000000002i−2i−2i2i-22-2222-2-222-2-200000000000000002i−2i−2i2i2i−2i−2i2i2-2-22000000000000002-2002i−2i−2i2i000000000000
χ542-2-22-222222-2-2-2-222-2-2000000002i−2i−2i2i-22-2222-2-222-2-200000000000000002i−2i−2i2i2i−2i−2i2i-222-200000000000000-2200−2i2i2i−2i000000000000
χ552-2-22-222222-2-2-2-222-2-200000000−2i2i2i−2i-22-2222-2-222-2-20000000000000000−2i2i2i−2i−2i2i2i−2i2-2-22000000000000002-200−2i2i2i−2i000000000000
χ562-2-22-222222-2-2-2-222-2-200000000−2i2i2i−2i-22-2222-2-222-2-20000000000000000−2i2i2i−2i−2i2i2i−2i-222-200000000000000-22002i−2i−2i2i000000000000
χ572-2-22-2222-2-222-2-222-2-200002i−2i−2i2i0000-22-22-2-222-2-222000000002i−2i−2i2i2i−2i−2i2i000000002-2-222i2i−2i−2i−2i−2i2i2i000000-22000000000000000000
χ582-2-22-2222-2-222-2-222-2-200002i−2i−2i2i0000-22-22-2-222-2-222000000002i−2i−2i2i2i−2i−2i2i00000000-222-2−2i−2i2i2i2i2i−2i−2i0000002-2000000000000000000
χ592-2-22-2222-2-222-2-222-2-20000−2i2i2i−2i0000-22-22-2-222-2-22200000000−2i2i2i−2i−2i2i2i−2i000000002-2-22−2i−2i2i2i2i2i−2i−2i000000-22000000000000000000
χ602-2-22-2222-2-222-2-222-2-20000−2i2i2i−2i0000-22-22-2-222-2-22200000000−2i2i2i−2i−2i2i2i−2i00000000-222-22i2i−2i−2i−2i−2i2i2i0000002-2000000000000000000
χ61444444−1+5−1−5-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−544-4-400000000−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+5−1+5−1−5−1+5−1−51−51−51+51+5000000000000000000000000000000000000000000000000000000
χ62444444−1+5−1−5-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5-4-44400000000−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+51−51+51−51+5−1+5−1+5−1−5−1−5000000000000000000000000000000000000000000000000000000
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χ9888-8-800−2+25−2−25−4242−4242−2+25−2−252−252+252−252+2500000000000000002ζ14−2ζ26+2ζ46−2ζ74−2ζ14+2ζ26−2ζ46+2ζ742ζ14−2ζ26+2ζ46−2ζ74−2ζ14+2ζ26−2ζ46+2ζ74−2ζ42−2ζ58+2ζ62+2ζ782ζ42+2ζ58−2ζ62−2ζ78−2ζ42−2ζ58+2ζ62+2ζ782ζ42+2ζ58−2ζ62−2ζ7800000000000000000000000000000000000000000000000000000000000000
χ9988-8-800−2−25−2+2542−4242−42−2−25−2+252+252−252+252−2500000000000000002ζ42+2ζ58−2ζ62−2ζ78−2ζ42−2ζ58+2ζ62+2ζ782ζ42+2ζ58−2ζ62−2ζ78−2ζ42−2ζ58+2ζ62+2ζ78−2ζ14+2ζ26−2ζ46+2ζ742ζ14−2ζ26+2ζ46−2ζ74−2ζ14+2ζ26−2ζ46+2ζ742ζ14−2ζ26+2ζ46−2ζ7400000000000000000000000000000000000000000000000000000000000000
χ10088-8-800−2−25−2+25−4242−4242−2−25−2+252+252−252+252−250000000000000000−2ζ42−2ζ58+2ζ62+2ζ782ζ42+2ζ58−2ζ62−2ζ78−2ζ42−2ζ58+2ζ62+2ζ782ζ42+2ζ58−2ζ62−2ζ782ζ14−2ζ26+2ζ46−2ζ74−2ζ14+2ζ26−2ζ46+2ζ742ζ14−2ζ26+2ζ46−2ζ74−2ζ14+2ζ26−2ζ46+2ζ7400000000000000000000000000000000000000000000000000000000000000
χ1018-88-800−2+25−2−2542−42−42422−252+252−252+25−2+25−2−250000000000000000−2ζ14+2ζ26−2ζ46+2ζ742ζ14−2ζ26+2ζ46−2ζ742ζ14−2ζ26+2ζ46−2ζ74−2ζ14+2ζ26−2ζ46+2ζ742ζ42+2ζ58−2ζ62−2ζ78−2ζ42−2ζ58+2ζ62+2ζ78−2ζ42−2ζ58+2ζ62+2ζ782ζ42+2ζ58−2ζ62−2ζ7800000000000000000000000000000000000000000000000000000000000000
χ1028-88-800−2+25−2−25−424242−422−252+252−252+25−2+25−2−2500000000000000002ζ14−2ζ26+2ζ46−2ζ74−2ζ14+2ζ26−2ζ46+2ζ74−2ζ14+2ζ26−2ζ46+2ζ742ζ14−2ζ26+2ζ46−2ζ74−2ζ42−2ζ58+2ζ62+2ζ782ζ42+2ζ58−2ζ62−2ζ782ζ42+2ζ58−2ζ62−2ζ78−2ζ42−2ζ58+2ζ62+2ζ7800000000000000000000000000000000000000000000000000000000000000
χ1038-88-800−2−25−2+2542−42−42422+252−252+252−25−2−25−2+2500000000000000002ζ42+2ζ58−2ζ62−2ζ78−2ζ42−2ζ58+2ζ62+2ζ78−2ζ42−2ζ58+2ζ62+2ζ782ζ42+2ζ58−2ζ62−2ζ78−2ζ14+2ζ26−2ζ46+2ζ742ζ14−2ζ26+2ζ46−2ζ742ζ14−2ζ26+2ζ46−2ζ74−2ζ14+2ζ26−2ζ46+2ζ7400000000000000000000000000000000000000000000000000000000000000
χ1048-88-800−2−25−2+25−424242−422+252−252+252−25−2−25−2+250000000000000000−2ζ42−2ζ58+2ζ62+2ζ782ζ42+2ζ58−2ζ62−2ζ782ζ42+2ζ58−2ζ62−2ζ78−2ζ42−2ζ58+2ζ62+2ζ782ζ14−2ζ26+2ζ46−2ζ74−2ζ14+2ζ26−2ζ46+2ζ74−2ζ14+2ζ26−2ζ46+2ζ742ζ14−2ζ26+2ζ46−2ζ7400000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 80 (ζ80 = 1); i = ζ20.