Finite Group Databasebeta

← Group #72242750

Character table — Group #72242750

Order 2560.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136
size111122222222224444444444555588888888888888888888888888881010101010101010101016161616161616161616161616161616161616161616202020202020202020202020202020202020202020204040404040404040404040404040404040408080808080808080
order12222222222222222244510101022222224444444101010101010101010101010101020202020222222222210101010101010102020202020202020202020202020222244444444444444444422244444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-11-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-11-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ6111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-11-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1111111-111iiii−i−i−i−i−i−i−i−iiiii
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-11-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1111111-111−i−i−i−iiiiiiiii−i−i−i−i
χ91111111111111111-1-1-1-111111111-11-111-1-1-11-11111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111111111111111-11-111-1-1-11-1-1-1-1-1-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-111111111-11-111-1-1-11-11111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-11-111111111-1-111-1-111
χ111111111111111111-1-1-1-111111111-1-11-1-111-1-111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-11-1-111-1-11-1-1-1-1-1-1-1-1-1-111-1-111
χ121111111111111111-1-1-1-111111111-1-11-1-111-1-111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111111111111-1-111-1-1
χ131111111111111111-1-1-1-11111-1-1-1-1-11-111-1-1-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i1-11-1-1111-11−i−i−i−iiiiiii−i−i−i−iii
χ141111111111111111-1-1-1-11111-1-1-1-1-11-111-1-1-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii1-11-1-1111-11iiii−i−i−i−i−i−iiiii−i−i
χ151111111111111111-1-1-1-11111-1-1-1-1-1-11-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111iiiiiiii−i−i−i−i−i−i−i−i11-111-1-111-1−i−i−i−iiiii−i−iiiii−i−i
χ161111111111111111-1-1-1-11111-1-1-1-1-1-11-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111−i−i−i−i−i−i−i−iiiiiiiii11-111-1-111-1iiii−i−i−i−iii−i−i−i−iii
χ171111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-111111111-1-1-1-1111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-1-111-1-1-1-1-11111-1-111-1-11-11-11-11-1
χ181111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-111111111-1-1-1-1111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-111-1-1-1-1-111-1-111-1-111-11-11-11-11
χ191111111111-1-1-1-1-1-1111111111111-1-1-11111-1-1-1111111-1-1-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-111-1-111-1-1-11-11-11-11
χ201111111111-1-1-1-1-1-1111111111111-1-1-11111-1-1-1111111-1-1-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-11111-1-1-1-1-111-1-1111-11-11-11-1
χ211111111111-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-111111111-1-1-1-111111111-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii1-1-111111-1-1ii−i−i−i−iiii−ii−i−ii−ii
χ221111111111-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-111111111-1-1-1-111111111-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i1-1-111111-1-1−i−iiiii−i−i−ii−iii−ii−i
χ231111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii111-1-1-1-1111ii−i−i−i−iii−ii−iii−ii−i
χ241111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i111-1-1-1-1111−i−iiiii−i−ii−ii−i−ii−ii
χ251111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-11111-1-1-111-1-1111-1-111-1-11
χ261111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-11111-111-1-111-1-1-111-1-111-1
χ271111111111-1-1-1-1-1-1-1-1-1-1111111111-1111-1-11-11111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-111-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1111-1-11-11-1-111-1-111-111-1-111-1
χ281111111111-1-1-1-1-1-1-1-1-1-1111111111-1111-1-11-11111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-111-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1111-1-11-1111-1-111-1-11-1-111-1-11
χ291111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1111111iiii−i−i−i−i−i−i−i−iiiii-1-1111-1-1-1-11−i−iiiii−i−ii−i−ii−iii−i
χ301111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1111111−i−i−i−iiiiiiiii−i−i−i−i-1-1111-1-1-1-11ii−i−i−i−iii−iii−ii−i−ii
χ311111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1111-1-11-11111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-111111111iiii−i−i−i−i−i−i−i−iiiii-11-1-1-111-11-1−i−iiiii−i−i−iii−ii−i−ii
χ321111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1111-1-11-11111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-111111111−i−i−i−iiiiiiiii−i−i−i−i-11-1-1-111-11-1ii−i−i−i−iiii−i−ii−iii−i
χ33222222-2-2-2-22222-2-222-2-2222222222000000-20022-2-2-2-222222222-2-2-2-222222-2-2-2-22-2-222000000000000-2-20000-2-222-2-200000000000000002000000-2000000000000000000
χ34222222-2-2-2-22222-2-222-2-22222-2-2-2-22000000-20022-2-2-2-222222222-2-2-2-2-2-2-2-2-22222-2-2-222000000000000-2-2000022-2-2220000000000000000-20000002000000000000000000
χ35222222-2-2-2-22222-2-2-2-22222222222-200000020022-2-2-2-22222-2-2-2-2222222222-2-2-2-22-2-2-2-2000000000000220000-2-2-2-2220000000000000000-20000002000000000000000000
χ36222222-2-2-2-22222-2-2-2-2222222-2-2-2-2-200000020022-2-2-2-22222-2-2-2-22222-2-2-2-2-22222-2-2-2-2-20000000000002200002222-2-200000000000000002000000-2000000000000000000
χ37222222-2-2-2-2-2-2-2-22222-2-222222222-200000020022-2-2-2-2-2-2-2-22222-2-2-2-22-2-2-2-2-2-2-2-2222-2-20000000000002200002222-2-20000000000000000-20000002000000000000000000
χ38222222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-200000020022-2-2-2-2-2-2-2-22222-2-2-2-2-222222222-222-2-2000000000000220000-2-2-2-22200000000000000002000000-2000000000000000000
χ39222222-2-2-2-2-2-2-2-222-2-222222222222000000-20022-2-2-2-2-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-222222000000000000-2-2000022-2-22200000000000000002000000-2000000000000000000
χ40222222-2-2-2-2-2-2-2-222-2-2222222-2-2-2-22000000-20022-2-2-2-2-2-2-2-2-2-2-2-22222-222222222-22222000000000000-2-20000-2-222-2-20000000000000000-20000002000000000000000000
χ412222-2-222-2-222-2-22-2000022222222002002-200-2-2-222-2-222-2-200000000-222-2-222-2-2-22-2000022000022-2-20000-2-22-200000000000000000000002002-200-20000000000000000
χ422222-2-222-2-222-2-22-200002222222200-200-22002-2-222-2-222-2-200000000-222-2-222-2-2-22-20000-2-20000-2-2220000222-20000000000000000000000-200-220020000000000000000
χ432222-2-222-2-222-2-22-200002222-2-2-2-2002002-200-2-2-222-2-222-2-2000000002-2-222-2-22222-2000022000022-2-20000-2-2-220000000000000000000000-200-220020000000000000000
χ442222-2-222-2-222-2-22-200002222-2-2-2-200-200-22002-2-222-2-222-2-2000000002-2-222-2-22222-20000-2-20000-2-222000022-2200000000000000000000002002-200-20000000000000000
χ452222-2-222-2-2-2-222-2200002222222200200-2200-2-2-222-2-2-2-22200000000-2-2-22222-2-2-2-220000220000-2-2220000-2-2-220000000000000000000000200-2200-20000000000000000
χ462222-2-222-2-2-2-222-2200002222222200-2002-2002-2-222-2-2-2-22200000000-2-2-22222-2-2-2-220000-2-2000022-2-2000022-220000000000000000000000-2002-20020000000000000000
χ472222-2-222-2-2-2-222-2200002222-2-2-2-200200-2200-2-2-222-2-2-2-22200000000222-2-2-2-2222-220000220000-2-2220000-2-22-20000000000000000000000-2002-20020000000000000000
χ482222-2-222-2-2-2-222-2200002222-2-2-2-200-2002-2002-2-222-2-2-2-22200000000222-2-2-2-2222-220000-2-2000022-2-20000222-20000000000000000000000200-2200-20000000000000000
χ492222-2-2-2-22222-2-2-220000222222220202-2000-20-2-2-2-22222-2-200000000-222-2-2-2-222-2-2200220022-2-2000000-2-200-22000000000000000000000202-2000-200000000000000000
χ502222-2-2-2-22222-2-2-220000222222220-20-2200020-2-2-2-22222-2-200000000-222-2-2-2-222-2-2200-2-200-2-2220000002200-22000000000000000000000-20-22000200000000000000000
χ512222-2-2-2-22222-2-2-2200002222-2-2-2-20202-2000-20-2-2-2-22222-2-2000000002-2-22222-2-22-2200220022-2-2000000-2-2002-2000000000000000000000-20-22000200000000000000000
χ522222-2-2-2-22222-2-2-2200002222-2-2-2-20-20-2200020-2-2-2-22222-2-2000000002-2-22222-2-22-2200-2-200-2-22200000022002-2000000000000000000000202-2000-200000000000000000
χ532222-2-2-2-222-2-2222-2000022222222020-22000-20-2-2-2-222-2-22200000000-2-2-222-2-222-22-2002200-2-222000000-2-2002-200000000000000000000020-22000-200000000000000000
χ542222-2-2-2-222-2-2222-20000222222220-202-200020-2-2-2-222-2-22200000000-2-2-222-2-222-22-200-2-20022-2-200000022002-2000000000000000000000-202-2000200000000000000000
χ552222-2-2-2-222-2-2222-200002222-2-2-2-2020-22000-20-2-2-2-222-2-22200000000222-2-222-2-222-2002200-2-222000000-2-200-22000000000000000000000-202-2000200000000000000000
χ562222-2-2-2-222-2-2222-200002222-2-2-2-20-202-200020-2-2-2-222-2-22200000000222-2-222-2-222-200-2-20022-2-20000002200-2200000000000000000000020-22000-200000000000000000
χ572-2-222-22-22-20000002-22-22-2-2222-2-200000000002-22-22-2000022-2-222-2-2200002-22-2-20000000000000000000000002-22-200002i2i−2i−2i00002i2i−2i−2i0000000000002i−2i002i−2i00000000
χ582-2-222-22-22-20000002-22-22-2-2222-2-200000000002-22-22-2000022-2-222-2-2200002-22-2-20000000000000000000000002-22-20000−2i−2i2i2i0000−2i−2i2i2i000000000000−2i2i00−2i2i00000000
χ592-2-222-22-22-20000002-22-22-2-22-2-22200000000002-22-22-2000022-2-222-2-2-20000-22-222000000000000000000000000-22-22000022-2-20000-2-2220000000000002-200-2200000000
χ602-2-222-22-22-20000002-22-22-2-22-2-22200000000002-22-22-2000022-2-222-2-2-20000-22-222000000000000000000000000-22-220000-2-222000022-2-2000000000000-22002-200000000
χ612-2-222-22-22-2000000-22-222-2-2222-2-200000000002-22-22-20000-2-222-2-222200002-22-2-2000000000000000000000000-22-2200002i2i−2i−2i00002i2i−2i−2i000000000000−2i2i00−2i2i00000000
χ622-2-222-22-22-2000000-22-222-2-2222-2-200000000002-22-22-20000-2-222-2-222200002-22-2-2000000000000000000000000-22-220000−2i−2i2i2i0000−2i−2i2i2i0000000000002i−2i002i−2i00000000
χ632-2-222-22-22-2000000-22-222-2-22-2-22200000000002-22-22-20000-2-222-2-222-20000-22-2220000000000000000000000002-22-2000022-2-20000-2-222000000000000-22002-200000000
χ642-2-222-22-22-2000000-22-222-2-22-2-22200000000002-22-22-20000-2-222-2-222-20000-22-2220000000000000000000000002-22-20000-2-222000022-2-20000000000002-200-2200000000
χ652-2-222-2-22-220000002-2-222-2-2222-2-200000000002-2-22-22000022-2-2-2-22220000-22-22-20000000000000000000000002-2-222i2i−2i−2i00002i2i−2i−2i000000000000002i−2i002i−2i0000000000
χ662-2-222-2-22-220000002-2-222-2-2222-2-200000000002-2-22-22000022-2-2-2-22220000-22-22-20000000000000000000000002-2-22−2i−2i2i2i0000−2i−2i2i2i00000000000000−2i2i00−2i2i0000000000
χ672-2-222-2-22-220000002-2-222-2-22-2-22200000000002-2-22-22000022-2-2-2-222-200002-22-22000000000000000000000000-222-222-2-20000-2-222000000000000002-200-220000000000
χ682-2-222-2-22-220000002-2-222-2-22-2-22200000000002-2-22-22000022-2-2-2-222-200002-22-22000000000000000000000000-222-2-2-222000022-2-200000000000000-22002-20000000000
χ692-2-222-2-22-22000000-222-22-2-2222-2-200000000002-2-22-220000-2-22222-2-220000-22-22-2000000000000000000000000-222-22i2i−2i−2i00002i2i−2i−2i00000000000000−2i2i00−2i2i0000000000
χ702-2-222-2-22-22000000-222-22-2-2222-2-200000000002-2-22-220000-2-22222-2-220000-22-22-2000000000000000000000000-222-2−2i−2i2i2i0000−2i−2i2i2i000000000000002i−2i002i−2i0000000000
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χ722-2-222-2-22-22000000-222-22-2-22-2-22200000000002-2-22-220000-2-22222-2-2-200002-22-220000000000000000000000002-2-22-2-222000022-2-2000000000000002-200-220000000000
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Here i is the imaginary unit (i² = −1).