Finite Group Databasebeta

← Group #12087197

Character table — Group #12087197

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111222222222222224444444444444444444444448888888888888888888888881010101010101010101010101616161620202020202020202020323232323232323280808080
order1222444444551010101010108888888888882020202020202020202020204040404040404040404040404040404040404040404040402244888888882444448888888810102020202020204444
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
χ51111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ61111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ71111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1-11-11
χ81111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-111-1-1111-11-1
χ9111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1111111-1-1-1-111-1-1-1-111-111-1
χ10111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11111111-1-1-1-1-1-11111-1-11-1-11
χ11111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-1-1-1111111-1-1-1-1111-1-11
χ12111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1-1-1-1-11111-1-11111-1-1-111-1
χ13111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111111111-1-1-1-1-1-111
χ14111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-1111111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-1-11-1-11111-1-1-1-11111-1-1-1-111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-111-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ172222222222−1+52−1−52−1+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
χ182222222222−1+52−1−52−1+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
χ192222222222−1+52−1−52−1+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+52−1−521−521+52−1+52−1−521−521+520000
χ202222222222−1+52−1−52−1+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+52−1+52−1−521−521+52−1+52−1−520000
χ212222222222−1+52−1−52−1+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+521−521+52−1+52−1−520000
χ222222222222−1+52−1−52−1+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+52−1−52−1+52−1−521−521+520000
χ232222222222−1+52−1−52−1+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+52−1−52−1+52−1−521−521+521−521+520000
χ242222222222−1+52−1−52−1+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+521−521+52−1+52−1−52−1+52−1−520000
χ252222222222−1−52−1+52−1−52−1+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
χ262222222222−1−52−1+52−1−52−1+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
χ272222222222−1−52−1+52−1−52−1+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+521+521−52−1−52−1+521+521−520000
χ282222222222−1−52−1+52−1−52−1+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+521−52−1−52−1+521+521−52−1−52−1+520000
χ292222222222−1−52−1+52−1−52−1+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+521−521+521−52−1−52−1+520000
χ302222222222−1−52−1+52−1−52−1+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+52−1−52−1+521+521−520000
χ312222222222−1−52−1+52−1−52−1+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+52−1−52−1+521+521−521+521−520000
χ322222222222−1−52−1+52−1−52−1+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+521−521+521−52−1−52−1+52−1−52−1+520000
χ33222222-2-2-2-22222222222-2-2000000002222-2-2-2-2-2-2-2-222-2-222-2-2000000000000000022-2-22222-2-2-2-200002-200000000000000000000
χ34222222-2-2-2-22222222222-2-2000000002222-2-2-2-2-2-2-2-222-2-222-2-20000000000000000-2-222-2-2-2-222220000-2200000000000000000000
χ35222222-2-2-2-222222222-2-222000000002222-2-2-2-2-2-2-2-2-2-222-2-222000000000000000022-2-2-2-2-2-2222200002-200000000000000000000
χ36222222-2-2-2-222222222-2-222000000002222-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000-2-2222222-2-2-2-20000-2200000000000000000000
χ372222-2-222-2-2222222220000000022-2-2-2-2-2-2-2-2-2-22222000000000000000022-2-222-2-222-2-2000000000000-22000022-2-2000000000000
χ382222-2-222-2-2222222220000000022-2-2-2-2-2-2-2-2-2-22222000000000000000022-2-222-2-2-2-2220000000000002-20000-2-222000000000000
χ392222-2-222-2-22222222200000000-2-222-2-2-2-2-2-2-2-222220000000000000000-2-222-2-22222-2-2000000000000-220000-2-222000000000000
χ402222-2-222-2-22222222200000000-2-222-2-2-2-2-2-2-2-222220000000000000000-2-222-2-222-2-2220000000000002-2000022-2-2000000000000
χ412222-2-2-2-22222222222000022-2-20000-2-2-2-22222-2-2-2-20000000022-2-222-2-2000000002222000000000000-2-222-2-20000000000000000
χ422222-2-2-2-22222222222000022-2-20000-2-2-2-22222-2-2-2-20000000022-2-222-2-200000000-2-2-2-200000000000022-2-2220000000000000000
χ432222-2-2-2-222222222220000-2-2220000-2-2-2-22222-2-2-2-200000000-2-222-2-222000000002222000000000000-2-2-2-2220000000000000000
χ442222-2-2-2-222222222220000-2-2220000-2-2-2-22222-2-2-2-200000000-2-222-2-22200000000-2-2-2-20000000000002222-2-20000000000000000
χ452-2-2200002-222-2-222-2-2i2−i2i2−i2002i−2i2−22−200002-22-20000i2−i2i2−i2i2−i2i2−i2002i−2i002i−2i2−22−22−22−22-22-2i2i2−i2−i2i2i2−i2−i2000000002i−2i2−22−2000000000000
χ462-2-2200002-222-2-222-2-2i2−i2i2−i2002i−2i2−22−200002-22-20000i2−i2i2−i2i2−i2i2−i2002i−2i002i−2i2−22−22−22−2-22-22−i2−i2i2i2−i2−i2i2i200000000−2i2i−22−22000000000000
χ472-2-2200002-222-2-222-2-2i2−i2i2−i200−2i2i−22−2200002-22-20000i2−i2i2−i2i2−i2i2−i200−2i2i00−2i2i−22−22−22−222-22-2i2i2−i2−i2i2i2−i2−i200000000−2i2i−22−22000000000000
χ482-2-2200002-222-2-222-2-2i2−i2i2−i200−2i2i−22−2200002-22-20000i2−i2i2−i2i2−i2i2−i200−2i2i00−2i2i−22−22−22−22-22-22−i2−i2i2i2−i2−i2i2i2000000002i−2i2−22−2000000000000
χ492-2-2200002-222-2-222-2-2−i2i2−i2i2002i−2i−22−2200002-22-20000−i2i2−i2i2−i2i2−i2i2002i−2i002i−2i−22−22−22−222-22-2−i2−i2i2i2−i2−i2i2i2000000002i−2i−22−22000000000000
χ502-2-2200002-222-2-222-2-2−i2i2−i2i2002i−2i−22−2200002-22-20000−i2i2−i2i2−i2i2−i2i2002i−2i002i−2i−22−22−22−22-22-22i2i2−i2−i2i2i2−i2−i200000000−2i2i2−22−2000000000000
χ512-2-2200002-222-2-222-2-2−i2i2−i2i200−2i2i2−22−200002-22-20000−i2i2−i2i2−i2i2−i2i200−2i2i00−2i2i2−22−22−22−22-22-2−i2−i2i2i2−i2−i2i2i200000000−2i2i2−22−2000000000000
χ522-2-2200002-222-2-222-2-2−i2i2−i2i200−2i2i2−22−200002-22-20000−i2i2−i2i2−i2i2−i2i200−2i2i00−2i2i2−22−22−22−2-22-22i2i2−i2−i2i2i2−i2−i2000000002i−2i−22−22000000000000
χ532-2-220000-2222-2-222-2-2i2−i2−i2i22i−2i002−2−220000-22-220000i2−i2−i2i2i2−i2−i2i22i−2i002i−2i002−2−222−2−222-2-22i2i2−i2−i2−i2−i2i2i20000002i−2i002−2−22000000000000
χ542-2-220000-2222-2-222-2-2i2−i2−i2i22i−2i002−2−220000-22-220000i2−i2−i2i2i2−i2−i2i22i−2i002i−2i002−2−222−2−22-222-2−i2−i2i2i2i2i2−i2−i2000000−2i2i00−222−2000000000000
χ552-2-220000-2222-2-222-2-2i2−i2−i2i2−2i2i00−222−20000-22-220000i2−i2−i2i2i2−i2−i2i2−2i2i00−2i2i00−222−2−222−22-2-22i2i2−i2−i2−i2−i2i2i2000000−2i2i00−222−2000000000000
χ562-2-220000-2222-2-222-2-2i2−i2−i2i2−2i2i00−222−20000-22-220000i2−i2−i2i2i2−i2−i2i2−2i2i00−2i2i00−222−2−222−2-222-2−i2−i2i2i2i2i2−i2−i20000002i−2i002−2−22000000000000
χ572-2-220000-2222-2-222-2-2−i2i2i2−i22i−2i00−222−20000-22-220000−i2i2i2−i2−i2i2i2−i22i−2i002i−2i00−222−2−222−22-2-22−i2−i2i2i2i2i2−i2−i20000002i−2i00−222−2000000000000
χ582-2-220000-2222-2-222-2-2−i2i2i2−i22i−2i00−222−20000-22-220000−i2i2i2−i2−i2i2i2−i22i−2i002i−2i00−222−2−222−2-222-2i2i2−i2−i2−i2−i2i2i2000000−2i2i002−2−22000000000000
χ592-2-220000-2222-2-222-2-2−i2i2i2−i2−2i2i002−2−220000-22-220000−i2i2i2−i2−i2i2i2−i2−2i2i00−2i2i002−2−222−2−222-2-22−i2−i2i2i2i2i2−i2−i2000000−2i2i002−2−22000000000000
χ602-2-220000-2222-2-222-2-2−i2i2i2−i2−2i2i002−2−220000-22-220000−i2i2i2−i2−i2i2i2−i2−2i2i00−2i2i002−2−222−2−22-222-2i2i2−i2−i2−i2−i2i2i20000002i−2i00−222−2000000000000
χ61444444-4-4-4-4−1+5−1−5−1+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+51−51−5−1−5−1−51+51+5000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.