Finite Group Databasebeta

← Group #12254751

Character table — Group #12254751

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111222222222222224444444444444444444444448888888888888888888888881010101010101010101010101616161620202020202020202020323232323232323280808080
order122244558888101010101010448816161616161616162020202040404040404040402020202040404040808080808080808080808080808080802244161616161616161622244488881616161610101010101020202224
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
χ51111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11-1-11
χ61111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1
χ71111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1
χ81111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-111111-1-11
χ9111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111-11-1-1-111-1-1-1-1-1-111-1-111-1-111-1-1
χ10111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-11-11-1-111-1-1-1-1-1-1-1-111-1-111-1-111
χ11111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111111111-1-111-1-1-1-111
χ12111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1111111-1-111-1-11111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-1111111-1-1-1-1111-11-1
χ14111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-11111-1-1-11-11
χ15111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-1-1111-1-111-1-1-1-111-1-1-1-111-11-11
χ16111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-111-111-1-111-1-1-1-1-1-11111-1-11-11-1
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+5200000000000022-2-20000000000−1+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+52000000000000-2-22200000000001−521+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+520000000000002-22-20000000000−1+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+52000000000000-22-2200000000001−521+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+52−1−52−1−52−1−52−1−520000000000002-2-220000000000−1+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+52−1−52−1−52−1−52−1−52000000000000-222-200000000001−521+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+521−521−521−521−5200000000000022-2-20000000000−1−52−1+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+521−521−521−521−52000000000000-2-22200000000001+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+521−521−521−521−520000000000002-22-20000000000−1−52−1+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+521−521−521−521−52000000000000-22-2200000000001+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+520000000000002-2-220000000000−1−52−1+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+52000000000000-222-200000000001+521−52−1−52−1+52−1−52−1+521+521−520000
χ372222-2-22200002222222-20022−2−222−2−2-2-2-2-2000000002-22-2000022−2−222−2−222−2−222−2−222-2-22222−2−2−2−200002-2000022−2−2000000000000
χ382222-2-22200002222222-20022−2−222−2−2-2-2-2-2000000002-22-2000022−2−222−2−222−2−222−2−2-2-222−2−2−2−222220000-220000−2−222000000000000
χ392222-2-22200002222222-200−2−222−2−222-2-2-2-2000000002-22-20000−2−222−2−222−2−222−2−22222-2-2−2−2−2−2222200002-20000−2−222000000000000
χ402222-2-22200002222222-200−2−222−2−222-2-2-2-2000000002-22-20000−2−222−2−222−2−222−2−222-2-2222222−2−2−2−20000-22000022−2−2000000000000
χ412222-2-2220000222222-220022−2−2−2−222-2-2-2-200000000-22-22000022−2−222−2−2−2−222−2−22222-2-22222−2−2−2−20000-220000−2−222000000000000
χ422222-2-2220000222222-220022−2−2−2−222-2-2-2-200000000-22-22000022−2−222−2−2−2−222−2−222-2-222−2−2−2−2222200002-2000022−2−2000000000000
χ432222-2-2220000222222-2200−2−22222−2−2-2-2-2-200000000-22-220000−2−222−2−22222−2−222−2−222-2-2−2−2−2−222220000-22000022−2−2000000000000
χ442222-2-2220000222222-2200−2−22222−2−2-2-2-2-200000000-22-220000−2−222−2−22222−2−222−2−2-2-2222222−2−2−2−200002-20000−2−222000000000000
χ452-2-222-2220000-2-2-2-222002-22−22−22−22−22-22-20000000000002-22-22−22−22−22−22−22−22−22−22-22-222−2−222−2−2000000002-22−22−2000000000000
χ462-2-222-2220000-2-2-2-222002-22−22−22−22−22-22-20000000000002-22-22−22−22−22−22−22−22−22−2-22-22−2−222−2−22200000000-22−22−22000000000000
χ472-2-222-2220000-2-2-2-222002-2−22−22−22−222-22-20000000000002-22-2−22−22−22−22−22−22−22−222-22-2−2−222−2−222000000002-2−22−22000000000000
χ482-2-222-2220000-2-2-2-222002-2−22−22−22−222-22-20000000000002-22-2−22−22−22−22−22−22−22−22-22-2222−2−222−2−200000000-222−22−2000000000000
χ492-2-222-2220000-2-2-2-22200-222−22−2−22−222-22-2000000000000-22-222−22−22−22−2−22−22−22−222-22-222−2−222−2−200000000-22−22−22000000000000
χ502-2-222-2220000-2-2-2-22200-222−22−2−22−222-22-2000000000000-22-222−22−22−22−2−22−22−22−22-22-22−2−222−2−222000000002-22−22−2000000000000
χ512-2-222-2220000-2-2-2-22200-22−22−222−22−22-22-2000000000000-22-22−22−22−22−222−22−22−22−22-22-2−2−222−2−22200000000-222−22−2000000000000
χ522-2-222-2220000-2-2-2-22200-22−22−222−22−22-22-2000000000000-22-22−22−22−22−222−22−22−22−2-22-2222−2−222−2−2000000002-2−22−22000000000000
χ532-2-22-222222-2-2-2-2-2-222000000002-2-22-22-2222-2-222-2-200000000000000002-2-222-2-222-2-22000000000000002-2002-2-22000000000000
χ542-2-22-222222-2-2-2-2-2-222000000002-2-22-22-2222-2-222-2-200000000000000002-2-222-2-22-222-200000000000000-2200-222-2000000000000
χ552-2-22-222222-2-2-2-2-2-22200000000-222-2-22-2222-2-222-2-20000000000000000-222-2-222-22-2-22000000000000002-200-222-2000000000000
χ562-2-22-222222-2-2-2-2-2-22200000000-222-2-22-2222-2-222-2-20000000000000000-222-2-222-2-222-200000000000000-22002-2-22000000000000
χ572-2-22-2222-2-222-2-2-2-22200002-2-220000-22-22-2-222-2-222000000002-2-222-2-22000000002-2-2222-2-2-2-222000000-22000000000000000000
χ582-2-22-2222-2-222-2-2-2-22200002-2-220000-22-22-2-222-2-222000000002-2-222-2-2200000000-222-2-2-22222-2-20000002-2000000000000000000
χ592-2-22-2222-2-222-2-2-2-2220000-222-20000-22-22-2-222-2-22200000000-222-2-222-2000000002-2-22-2-22222-2-2000000-22000000000000000000
χ602-2-22-2222-2-222-2-2-2-2220000-222-20000-22-22-2-222-2-22200000000-222-2-222-200000000-222-222-2-2-2-2220000002-2000000000000000000
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
χ63444444−1−5−1+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
χ64444444−1−5−1+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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χ1028-88-800−2+25−2−25−424242−422−25−2+252+25−2−252−252+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+25−2−252−25−2+252+252−2500000000000000002ζ42+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+25−2−252−25−2+252+252−250000000000000000−2ζ42−2ζ58+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).