Finite Group Databasebeta

← Group #72271867

Character table — Group #72271867

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222244444444444444444444466668888888888888888888888888888121212121212121212121212121216161616161616161616161616161616161616242424242424242424242424242424243232323248484848
order12222222222236662222222444466666666662244222244444444446666666666121212122222244444444444444661212121212121212121212122222444444444444121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-11-1-11-1-11111111111111111111-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-111-1-1-1-11111111-11-11-1111-1-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111-1-1-1-111-1-1-1-11-1-11-1-11111111111111111-1-1-1111111-1-1-111-1-11-1-1-1-1-1-111-1-1-1-11111-1-1-11-11-11-1-1-111111-1-1-1-1-1-111
χ511111111111111111111111-1-1-1-111111111111111111-11-1-11-1-11-1-1-11111111111-1-1-1-11111111-1-1111-1-11-1-11-11-11-1-1-111-1-1-1-1-1-111-11-11-1-111-1-111-1-111-1-1-1-11-1
χ611111111111111111111111-1-1-1-11111111111111111-11-11-1-11-1-11-1-11111111111-1-1-1-1111-1-1-1-11111111-11-1-11-11-11-1-1-1-111-1-1-1-111-1-1-1-1-1111-11-1-111-1-111-1-1-11
χ711111111111111111111111-1-1-1-11111111111-1-1-1-1111-11-1-11-1-11-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-11-11-11-1-1-111-1-1-1-1-1-1-1-11-11-111-1-111-1-11111-1-111-11
χ811111111111111111111111-1-1-1-11111111111-1-1-1-111-11-11-1-11-1-11-1-11111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-11-11-1-1-1-111-1-1-1-1-1-111111-1-1-11-111-1-1-1-111111-1
χ91111111111111111111-1-1-1-1111111111111111111-1-11111111111-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ101111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-11-1-11-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1111-1-111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11-11-1-1-11-111111111-1-111
χ111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111
χ121111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-11111-111-1-1-1-111-1-1-1-1-1-1-1-111-11-11-1111-11-1-1-1-1111111-1-1
χ131111111111111111111-1-1-1-1-1-1-1-111111111111111-1-11-11-1-11-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111-1-1-111-111-11-1-1-111-1-11111-1-1-11-11-1-1-1-1-1-1-1-111-1-11111-11
χ141111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-11-11-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111111-111-1-11-11-1-1-1-1111111-1-1-1-1-1-1-11-1-1-1111-1-111-1-1111-1
χ151111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11-11-1-11-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-111-111-11-1-1-111-1-11111111-11-111111111-1-1-1-111-1-11-1
χ161111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-11-11-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-111-1-11-11-1-1-1-11111111111111-1111-1-1-11111-1-1-1-1-11
χ171111-1-11111111111-1-1-1111111111-1-1-1-11111111-1-1-1-11-11-1-1-11-1-1111-1-11111-1-1-1-11111111111111-1-1-111-1-1-1111-11-1-1-1-1-11111-1-111-1-1-1-11-1-1-11-111111-11-1-11-1-1
χ181111-1-11111111111-1-1-1111111111-1-1-1-11111111-1-1-1-1-11-11-11-1-11-111-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11-1-111-1-111-1-111-11-1111-1-111-1-1-1-1-11-11-1111
χ191111-1-11111111111-1-1-1111111111-1-1-1-111111-1-111-1-11-11-1-1-11-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111-11-1-1-1-1-11111-1-1-1-11111-1111-11-1-1-1-11-11-11-111
χ201111-1-11111111111-1-1-1111111111-1-1-1-111111-1-111-1-1-11-11-11-1-11-111-1-11111-1-1-1-11111-1-1-11111111111111-1-1-1-11-11-1-111-1-111-1-1-1-11-11-1-1-111-1-11111-11-111-1-1-1
χ211111-1-11111111111-1-1-11111-1-1-1-11-1-1-1-11111111-1-1-1-111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111-1111111-1-1-1-1-1-111111-11-1-11-1-1-1111-1-11-1-111-1-11
χ221111-1-11111111111-1-1-11111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1111-11-11-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-111-111-11-11-1
χ231111-1-11111111111-1-1-11111-1-1-1-11-1-1-1-111111-1-111-1-111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1111-1111111-1-1-1-1-1-111-1-1-11-111-1111-1-1-1111-1-11-111-1
χ241111-1-11111111111-1-1-11111-1-1-1-11-1-1-1-111111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-11-11-11-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-111-1-11-11
χ251111-1-11111111111-1-1-1-1-1-1-111111-1-1-1-11111111-1-1111-11-1-1-11-1-11-1-1-1-1-1-1-1-111111111111111111-1-1-111111-1-11-11-1-1-1-1-111-1-111-1-1-1-1-1-11-1111-1-1-1-1-1-11-111-111
χ261111-1-11111111111-1-1-1-1-1-1-111111-1-1-1-11111111-1-111-11-11-11-1-11-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-11-1-111-1-1-1-111-1-1-11-1111111111111-11-11-1-1-1
χ271111-1-11111111111-1-1-1-1-1-1-111111-1-1-1-111111-1-111111-11-1-1-11-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-1111-1-11-11-1-1-1-1-111-1-111111111-11-1-1-111111-11-11-11-1-1
χ281111-1-11111111111-1-1-1-1-1-1-111111-1-1-1-111111-1-11111-11-11-11-1-11-1-1-1-1-1-1-1-1-111111111-1-1-111111111111-1-1111-11-11-1-111-1-1-1-111111-11-1-1-1-1-1-1-1-1-1-1-11-11-1-1111
χ291111-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-11111111-1-11-1-111-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-11-1-1-11111111-1-1-1-111-1-1-1-11-11-1-1111-11-1-111-111-1-111-1
χ301111-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-111-1-1-111-11-11-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-11-1-11-11-11
χ311111-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1111111111-1-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11111111-1-1-1-111-1-111-11-111-1-1-11-111-1-1-111-11-1-11
χ321111-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1111-1-1-11-11-1-1-1-1-111111111-1-111-1-1-1-111-1-111-1-1111-1-111-11-1
χ33222222222222-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1000022222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000022222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-10000
χ34222222222222-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1000022-2-2-2-22-2-22-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-22-2-21111-1-11111-1-1-1-1000000000000000011110000
χ35222222222222-1-1-1-12222222-2-2-2-2-1-1-1-1-1-1-1-1-1-10000222-22-2-22-2-22-2-2-2-1-1-1-1-1-1-1-1-1-11111000000000000002-2-22-2-11-1111-1-11111110000000000000000-1-1110000
χ36222222222222-1-1-1-12222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1000022-22-22-2-22-2-22-2-2-1-1-1-1-1-1-1-1-1-1111100000000000000-22-2-221-11-11111-1-11111000000000000000011-1-10000
χ37222222222222-1-1-1-1222-2-2-2-22222-1-1-1-1-1-1-1-1-1-10000-2-22222222222-2-2-1-111111111-1-1-1-100000000000000-2-2-2-2-2-1-1-1-1-1-1-1-1-1-11111000000000000000011110000
χ38222222222222-1-1-1-1222-2-2-2-22222-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-22-2-22-2-2-2-2-1-111111111-1-1-1-10000000000000022-2221111-1-1111111110000000000000000-1-1-1-10000
χ39222222222222-1-1-1-1222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000-2-22-22-2-22-2-22-222-1-111111111111100000000000000-222-22-11-1111-1-111-1-1-1-1000000000000000011-1-10000
χ40222222222222-1-1-1-1222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000-2-2-22-22-2-22-2-2222-1-1111111111111000000000000002-222-21-11-11111-1-1-1-1-1-10000000000000000-1-1110000
χ412222222-2-2-22-222222-2-200000000-222-2-222-2-2-2222200020-200-2002002-20000000000002-2-20000-2-22-2-22200000020-200002-200000000000-20002000000000000
χ422222222-2-2-22-222222-2-200000000-222-2-222-2-2-22222000-20200200-2002-20000000000002-2-20000222-2-2-2-2000000-2020000-22000000000002000-2000000000000
χ432222222-2-2-22-222222-2-200000000-222-2-222-2-2-2-2-2-2-200020-200-2002002-2000000000000-222000022-222-2-200000020-200002-2000000000002000-2000000000000
χ442222222-2-2-22-222222-2-200000000-222-2-222-2-2-2-2-2-2-2000-20200200-2002-2000000000000-2220000-2-2-22222000000-2020000-2200000000000-20002000000000000
χ45222222-22-2-2-222222-22-200000000-222-2-2-2-222-222220020-200-2002000-22000000000000-22-222-2-200-22-2000000020-20002-200000000020-2000000000000000000
χ46222222-22-2-2-222222-22-200000000-222-2-2-2-222-2222200-20200200-2000-22000000000000-22-2-2-22200-22-20000000-202000-22000000000-202000000000000000000
χ47222222-22-2-2-222222-22-200000000-222-2-2-2-222-2-2-2-2-20020-200-2002000-220000000000002-22-2-222002-22000000020-20002-2000000000-202000000000000000000
χ48222222-22-2-2-222222-22-200000000-222-2-2-2-222-2-2-2-2-200-20200200-2000-220000000000002-2222-2-2002-220000000-202000-2200000000020-2000000000000000000
χ49222222-2-222-2-22222-2-22000022-2-222222-2-2-2-222222000000200-20000-2-20000000022-2-2-2-22000000-2-22000000000002-20000000000-20202000-20000000000000
χ50222222-2-222-2-22222-2-22000022-2-222222-2-2-2-22-2-2-2-2000000200-20000-2-20000000022-2-222-200000022-2000000000002-2000000000020-20-200020000000000000
χ51222222-2-222-2-22222-2-220000-2-22222222-2-2-2-222222000000-20020000-2-200000000-2-222-2-22000000-2-2200000000000-22000000000020-20-200020000000000000
χ52222222-2-222-2-22222-2-220000-2-22222222-2-2-2-22-2-2-2-2000000-20020000-2-200000000-2-22222-200000022-200000000000-220000000000-20202000-20000000000000
χ532222-2-2222222-1-1-1-1-2-2-222222222-11111-1-1-1-1-10000-2-22-22-2-2-22-2-222211-1-1-1-11111-1-1-1-100000000000000-2-2-222-11-111111-1-1-1-1110000000000000000-11-110000
χ542222-2-2222222-1-1-1-1-2-2-222222222-11111-1-1-1-1-10000-2-2-22-22-22-2-22-22211-1-1-1-11111-1-1-1-10000000000000022-2-2-21-11-111-1-111-1-11100000000000000001-11-10000
χ552222-2-2222222-1-1-1-1-2-2-22222-2-2-2-2-11111-1-1-1-1-10000-2-222222-2-22-2-2-2-211-1-1-1-11111111100000000000000-2222-2-1-1-1-1-1-1111111-1-10000000000000000-111-10000
χ562222-2-2222222-1-1-1-1-2-2-22222-2-2-2-2-11111-1-1-1-1-10000-2-2-2-2-2-2222222-2-211-1-1-1-111111111000000000000002-22-221111-1-1-1-1-1-111-1-100000000000000001-1-110000
χ572222-2-2222222-1-1-1-1-2-2-2-2-2-2-22222-11111-1-1-1-1-10000222-22-2-2-22-2-22-2-2111111-1-1-1-1-1-1-1-100000000000000222-2-2-11-111111-1-111-1-100000000000000001-11-10000
χ582222-2-2222222-1-1-1-1-2-2-2-2-2-2-22222-11111-1-1-1-1-1000022-22-22-22-2-22-2-2-2111111-1-1-1-1-1-1-1-100000000000000-2-22221-11-111-1-11111-1-10000000000000000-11-110000
χ592222-2-2222222-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-11111-1-1-1-1-100002222222-2-22-2-222111111-1-1-1-11111000000000000002-2-2-22-1-1-1-1-1-11111-1-11100000000000000001-1-110000
χ602222-2-2222222-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-11111-1-1-1-1-1000022-2-2-2-222222222111111-1-1-1-1111100000000000000-22-22-21111-1-1-1-1-1-1-1-1110000000000000000-111-10000
χ612222-2-22-2-2-22-22222-22200000000-2-2-22222-2-2-222-2-200020-200200-200-220000000000002-2-2000022-222-2-200000020-20000-2200000000000-20002000000000000
χ622222-2-22-2-2-22-22222-22200000000-2-2-22222-2-2-222-2-2000-20200-200200-220000000000002-2-20000-2-2-22222000000-20200002-2000000000002000-2000000000000
χ632222-2-22-2-2-22-22222-22200000000-2-2-22222-2-2-2-2-22200020-200200-200-22000000000000-2220000-2-22-2-22200000020-20000-22000000000002000-2000000000000
χ642222-2-22-2-2-22-22222-22200000000-2-2-22222-2-2-2-2-222000-20200-200200-22000000000000-2220000222-2-2-2-2000000-20200002-200000000000-20002000000000000
χ652222-2-2-22-2-2-2222222-2200000000-2-2-222-2-222-222-2-20020-200200-20002-2000000000000-22-222-2-2002-22000000020-2000-22000000000-202000000000000000000
χ662222-2-2-22-2-2-2222222-2200000000-2-2-222-2-222-222-2-200-20200-20020002-2000000000000-22-2-2-222002-220000000-2020002-200000000020-2000000000000000000
χ672222-2-2-22-2-2-2222222-2200000000-2-2-222-2-222-2-2-2220020-200200-20002-20000000000002-22-2-22200-22-2000000020-2000-2200000000020-2000000000000000000
χ682222-2-2-22-2-2-2222222-2200000000-2-2-222-2-222-2-2-22200-20200-20020002-20000000000002-2222-2-200-22-20000000-2020002-2000000000-202000000000000000000
χ692222-2-2-2-222-2-2222222-2000022-2-22-2-2-2-2-2-2-2-2222-2-2000000-20020000220000000022-2-2-2-2200000022-200000000000-22000000000020-202000-20000000000000
χ702222-2-2-2-222-2-2222222-2000022-2-22-2-2-2-2-2-2-2-22-2-222000000-20020000220000000022-2-222-2000000-2-2200000000000-220000000000-2020-200020000000000000
χ712222-2-2-2-222-2-2222222-20000-2-2222-2-2-2-2-2-2-2-2222-2-2000000200-200002200000000-2-222-2-2200000022-2000000000002-20000000000-2020-200020000000000000
χ722222-2-2-2-222-2-2222222-20000-2-2222-2-2-2-2-2-2-2-22-2-222000000200-200002200000000-2-22222-2000000-2-22000000000002-2000000000020-202000-20000000000000
χ7322-2-2002-22-2-2222-2-200022-2-22i−2i2i−2i200002-22-2-200000000000000002i−2i0022-2-200002i−2i2i−2i0002-22-22i−2i0002i−2i0000000000000002i−2i000000000000002-22i−2i00000000
χ7422-2-2002-22-2-2222-2-200022-2-22i−2i2i−2i200002-22-2-200000000000000002i−2i0022-2-200002i−2i2i−2i000-22-22−2i2i000−2i2i0000000000000002i−2i00000000000000-22−2i2i00000000
χ7522-2-2002-22-2-2222-2-200022-2-2−2i2i−2i2i200002-22-2-20000000000000000−2i2i0022-2-20000−2i2i−2i2i0002-22-2−2i2i000−2i2i000000000000000−2i2i000000000000002-2−2i2i00000000
χ7622-2-2002-22-2-2222-2-200022-2-2−2i2i−2i2i200002-22-2-20000000000000000−2i2i0022-2-20000−2i2i−2i2i000-22-222i−2i0002i−2i000000000000000−2i2i00000000000000-222i−2i00000000
χ7722-2-2002-22-2-2222-2-2000-2-2222i−2i2i−2i200002-22-2-20000000000000000−2i2i00-2-22200002i−2i2i−2i0002-22-22i−2i0002i−2i000000000000000−2i2i00000000000000-22−2i2i00000000
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Here i is the imaginary unit (i² = −1).