Finite Group Databasebeta

← Group #72262921

Character table — Group #72262921

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130
size11112222224488888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232323232323232323232323232323232326464646464646464128128128128128128128128128128128128
order1222222222222222222222222444444442222222222222222224444444444444444444422444444444444444444444444444444444444444444444448888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-111111111-1-1-1-1111111111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-111111111-1-1-1-1111111111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-11111111111111-1-11-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-11111111111111-1-11-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ91111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-111-1-1111111-1-111-1-1-1-1-1-111111-1-1-11-11-111-1-11-11-1-1-11-11-111-1-111-1-111-1-1111-11-11111-1-1-1-111-1-111-1-111-1-1
χ101111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-111-1-1111111-1-111-1-1-1-1-1-111111-1-1-11-11-111-1-11-11-1-1-11-11-111-1-111-1-111-1-1111-11-1-1-1-1-11111-1-111-1-111-1-111
χ111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-111-1-1111111-1-111-1-111-1-1-1-111111-1-1-1-11-1111-1-1-11-11-1-1-11-1111-1-1-1-111-1-11111-11-111111-1-1-1-111-1-1-1-111-1-111
χ121111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-111-1-1111111-1-111-1-111-1-1-1-111111-1-1-1-11-1111-1-1-11-11-1-1-11-1111-1-1-1-111-1-11111-11-11-1-1-1-11111-1-11111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-11111111-11-1-11-1-1111-1-11-1-11-1-11-1-11111-1-1-1-111-1-11-1-111111-1-1-1-1-1-11111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-11111111-11-1-11-1-1111-1-11-1-11-1-11-1-11111-1-1-1-111-1-11-1-11-1-1-1-1111111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-11111111-1-111-1-1-111-111-1-1-1-111-1-1-111-1-11111-1-1-1-1-111-11111-1-1-1-1-1-111-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-11111111-1-111-1-1-111-111-1-1-1-111-1-1-111-1-11111-1-1-1-1-111-1-1-1-1-1111111-1-111-1-1-1-111
χ171111111111-1-111-1-111111111-11111-1-1-1-111111-1-1-1-111111111-11111111111111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-11-1-1-11111111-11-11-11-11-1-1-1-1-1ii−i−iii−i−ii−ii−ii−ii−ii−ii−i
χ181111111111-1-111-1-111111111-11111-1-1-1-111111-1-1-1-111111111-11111111111111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-11-1-1-11111111-11-11-11-11-1-1-1-1-1−i−iii−i−iii−ii−ii−ii−ii−ii−ii
χ191111111111-1-111-1-111111111-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-111-1-11111-11-11-11-111-11111ii−i−iii−i−ii−ii−i−ii−ii−ii−ii
χ201111111111-1-111-1-111111111-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-111-1-11111-11-11-11-111-11111−i−iii−i−iii−ii−iii−ii−ii−ii−i
χ211111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1111111111-1-1111111-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-11-111111111-1-1111-1-1-1-1-1-1-1-1-11-11-1-11-11-11-1-111ii−i−iii−i−i−ii−iii−ii−i−ii−ii
χ221111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1111111111-1-1111111-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-11-111111111-1-1111-1-1-1-1-1-1-1-1-11-11-1-11-11-11-1-111−i−iii−i−iiii−ii−i−ii−iii−ii−i
χ231111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-11111-1111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1111111-1-11-11111-1-1-1-1-11-111-11-1-1111-1-1ii−i−iii−i−i−ii−ii−ii−iii−ii−i
χ241111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-11111-1111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1111111-1-11-11111-1-1-1-1-11-111-11-1-1111-1-1−i−iii−i−iiii−ii−ii−ii−i−ii−ii
χ251111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11111111-1-111-1-111-1-111-1-1-111111-1-111-1-1-1-111-1-1-1-1-1-1111-1-11-1-111-11-11-11-111-111-1-11-1-111-1-111-1-11-11ii−i−i−i−iiii−i−iii−i−iii−i−ii
χ261111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11111111-1-111-1-111-1-111-1-1-111111-1-111-1-1-1-111-1-1-1-1-1-1111-1-11-1-111-11-11-11-111-111-1-11-1-111-1-111-1-11-11−i−iiiii−i−i−iii−i−iii−i−iii−i
χ271111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11111111-1-111-1-1-1-111-1-111-1111-1-111-1-111-1-111-1-1-1-1-1-111-111-1-1-1111-11-1-111-1-1111-1-1-111-1-111-11-11-11-1ii−i−i−i−iiii−i−ii−iii−i−iii−i
χ281111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11111111-1-111-1-1-1-111-1-111-1111-1-111-1-111-1-111-1-1-1-1-1-111-111-1-1-1111-11-1-111-1-1111-1-1-111-1-111-11-11-11-1−i−iiiii−i−i−iii−ii−i−iii−i−ii
χ291111111111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1111111-1-1-1-111-111111-1-1-1-111-1-111-1-1-1-1-11-111-11-111-1-1-111-1-11-11-11-1-1111-1-11-111-1-11-111-1ii−i−i−i−iii−iii−ii−i−ii−iii−i
χ301111111111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1111111-1-1-1-111-111111-1-1-1-111-1-111-1-1-1-1-11-111-11-111-1-1-111-1-11-11-11-1-1111-1-11-111-1-11-111-1−i−iiiii−i−ii−i−ii−iii−ii−i−ii
χ311111111111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-11111-1-11111-1-1-1111-1-11111-1-1-1-111-1-1-1-1-11-11-11-1111-1-11-1-11-111-11-1-1-111-111-11-1-11-111-1-11ii−i−i−i−iii−iii−i−iii−ii−i−ii
χ321111111111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-11111-1-11111-1-1-1111-1-11111-1-1-1-111-1-1-1-1-11-11-11-1111-1-11-1-11-111-11-1-1-111-111-11-1-11-111-1-11−i−iiiii−i−ii−i−iii−i−ii−iii−i
χ3322222222222222222222000020000000022-222220022-2-20000-2-2-2-2-2-2220000-2-2-2-222-2-2-20022-2000000-2200-2-22-2000000-2-2220000002-20000000000000000000000
χ3422222222222222222222000020000000022-2222200-2-2220000-2-2-2-222-2-20000-2-2-2-222-2-2-2002-220000002-200-2-2-2200000022-2-2000000-220000000000000000000000
χ35222222222222222222220000200000000-2-2-2-2-22200000022-2-2-222-20000-2-222-2-2-2-2-2-222-200-2002-2000000-2222002-200000000-2-22200002-200000000000000000000
χ36222222222222222222220000200000000-2-2-2-2-222000000-2-222-222-2000022-2-2-2-2-2-2-2-222-200-200-220000002-22200-220000000022-2-20000-2200000000000000000000
χ37222222222222222222222222222222222-2-22-2-22222000000002-2-22000000002222-2-2-2-2222-20000-2-2-2-20000-2-20000-2-2-2-20000000022000000000000000000000000
χ3822222222222222222222-2-2-2-22-2-2-2-2-2-2-2-2-2-22-2-222-2-2000000002-2-22000000002222-2-2-2-22-2-2-2000022220000-2-20000222200000000-2-2000000000000000000000000
χ392222222222222222-2-2-2-2000020000000022-2-2-2-2-20022220000-2-2-2-2-2-2-2-20000222222-2-2-200-222000000-2-2002222000000-2-2-2-2000000220000000000000000000000
χ402222222222222222-2-2-2-2000020000000022-2-2-2-2-200-2-2-2-20000-2-2-2-222220000222222-2-2-200-2-2-2000000220022-2-20000002222000000-2-20000000000000000000000
χ412222222222222222-2-2-2-20000200000000-2-2-222-2-20000002222-222-20000-2-2-2-22222-2-222-20020022000000-2-2-2-2002200000000-2-2-2-200002200000000000000000000
χ422222222222222222-2-2-2-20000200000000-2-2-222-2-2000000-2-2-2-2-222-2000022222222-2-222-200200-2-200000022-2-200-2-20000000022220000-2-200000000000000000000
χ432222222222222222-2-2-2-222222-2-2-2-2-2-2-2-2-2-2222-2-222000000002-2-2200000000-2-2-2-2-2-2-2-22-2-220000-2-2220000220000-2-2220000000022000000000000000000000000
χ442222222222222222-2-2-2-2-2-2-2-2222222222-2-2222-2-2-2-2000000002-2-2200000000-2-2-2-2-2-2-2-22222000022-2-2000022000022-2-200000000-2-2000000000000000000000000
χ45222222222222-2-22-200000000-2222222222-2-200000000222200-22-2200-2-2-2-20000002-22-22-2-200-2-20002-20220000-2-20002-2002-22-20000022000000000000000000000
χ46222222222222-2-22-200000000-2222222222-2-200000000-2-2-2-200-22-220022220000002-22-22-2-200220002-20-2-20000220002-200-22-2200000-2-2000000000000000000000
χ47222222222222-2-22-200000000-222222222-22-200000022000022-2-222-2-20000-2-20000-22-222-2-20-200-200-22200200-200-200-222-200002-200200200000000000000000000
χ48222222222222-2-22-200000000-222222222-22-2000000-2-20000-2-2-2-222220000220000-22-222-2-20200200-22-200-200200200-22-220000-2200-200-200000000000000000000
χ49222222222222-2-22-200000000-2-2-2-2-2-2-2-2-22-2-20000000022-2-200-22-2200-2-2220000002-22-222200-22000-2202-20000-22000-22002-2-22000002-2000000000000000000000
χ50222222222222-2-22-200000000-2-2-2-2-2-2-2-2-22-2-200000000-2-22200-22-220022-2-20000002-22-2222002-2000-220-2200002-2000-2200-222-200000-22000000000000000000000
χ51222222222222-2-22-200000000-2-2-2-2-2-2-2-2-2-22-2000000220000-2-2-2-222-2-20000220000-22-222220-2002002-2200-200-2002002-22-20000-2200200-200000000000000000000
χ52222222222222-2-22-200000000-2-2-2-2-2-2-2-2-2-22-2000000-2-2000022-2-222220000-2-20000-22-222220200-2002-2-200200200-2002-2-2200002-200-200200000000000000000000
χ53222222222222-2-22-200002222-2000000002-22000022002200222-22-20022002200002-2-22-20000-20-22-2000-20-2000-20-22-20000-2200-22-2-2020200000000000000000000
χ54222222222222-2-22-200002222-2000000002-2200002200-2-200-2-22-22-200-2-200-2-200002-2-22-200002022-20002020002022-200002-2002-2-2-20-20-200000000000000000000
χ55222222222222-2-22-200002222-200000000-2220000222200220022-2-2220022000000-222-2-2000-20-20-2200-20-2000-20-20-2200-2200-2200-2-2202000000000000000000000
χ56222222222222-2-22-200002222-200000000-222000022-2-200-2-20022-2-2-2-200-2-2000000-222-2-20002020-22002020002020-22002-2002-200-2-2-20-2000000000000000000000
χ57222222222222-2-22-20000-2-2-2-2-2000000002-220000-2-2002200-2-22-22-2002200-2-200002-2-22-20000-202-22000-202000-202-220000-22002-222020-200000000000000000000
χ58222222222222-2-22-20000-2-2-2-2-2000000002-220000-2-200-2-200222-22-200-2-2002200002-2-22-2000020-2-2200020-200020-2-2200002-200-22220-20200000000000000000000
χ59222222222222-2-22-20000-2-2-2-2-200000000-2220000-2-22200-2-20022-2-22200-2-2000000-222-2-2000-20202-200-202000-20202-200-22002-2002220-2000000000000000000000
χ60222222222222-2-22-20000-2-2-2-2-200000000-2220000-2-2-2-200220022-2-2-2-20022000000-222-2-200020-202-20020-200020-202-2002-200-220022-202000000000000000000000
χ612222222222-2-222-2-222220000-20000000022-222-2-20022-2-200002-2-2-2-2-2220000-2-222-2-222200-22-20000002-200-22-22000000-222-2000000-220000000000000000000000
χ622222222222-2-222-2-222220000-20000000022-222-2-200-2-22200002-2-2-222-2-20000-2-222-2-222200-2-22000000-2200-222-20000002-2-220000002-20000000000000000000000
χ632222222222-2-222-2-222220000-200000000-2-2-2-2-2-2-200000022-2-2222-20000-2-222-2-22222-2-2200200-220000002-22-2002-200000000-222-20000-2200000000000000000000
χ642222222222-2-222-2-222220000-200000000-2-2-2-2-2-2-2000000-2-222222-2000022-2-2-2-22222-2-22002002-2000000-222-200-22000000002-2-2200002-200000000000000000000
χ652222222222-2-222-2-222222222-22222-2-2-2-2-2-22-2-2-2-2-2-200000000-2-2-220000000022-2-22222-22-22000022220000-220000-2-2-2-2000000002-2000000000000000000000000
χ662222222222-2-222-2-22222-2-2-2-2-2-2-2-2-22222-2-22-2-2-2-22200000000-2-2-220000000022-2-22222-2-2220000-2-2-2-20000-220000222200000000-22000000000000000000000000
χ672222222222-2-222-2-2-2-2-2-20000-20000000022-2-2-22200222200002-2-2-2-2-2-2-2000022-2-2-2-22220022200000022002-2-2-2000000-22-22000000-2-20000000000000000000000
χ682222222222-2-222-2-2-2-2-2-20000-20000000022-2-2-22200-2-2-2-200002-2-2-22222000022-2-2-2-2222002-2-2000000-2-2002-2220000002-22-2000000220000000000000000000000
χ692222222222-2-222-2-2-2-2-2-20000-200000000-2-2-222220000002222222-20000-2-2-2-222-2-222-2-2200-200-2-200000022-22002200000000-22-220000-2-200000000000000000000
χ702222222222-2-222-2-2-2-2-2-20000-200000000-2-2-22222000000-2-2-2-2222-20000222222-2-222-2-2200-20022000000-2-2-2200-2-2000000002-22-200002200000000000000000000
χ712222222222-2-222-2-2-2-2-2-22222-2-2-2-2-22222-2-222222-2-200000000-2-2-2200000000-2-2222222-2-22-2000022-2-200002-20000-2-222000000002-2000000000000000000000000
χ722222222222-2-222-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2222222200000000-2-2-2200000000-2-2222222-22-2-20000-2-22200002-2000022-2-200000000-22000000000000000000000000
χ732222222222-2-2-2-2-220000000022222-2-2-2-22-2-20000000022220022-2200-2-2-2-2000000-22-22-2-2200-22000-220-2-200002-20002-200222200000-2-2000000000000000000000
χ742222222222-2-2-2-2-220000000022222-2-2-2-22-2-200000000-2-2-2-20022-22002222000000-22-22-2-22002-2000-220220000-220002-200-2-2-2-20000022000000000000000000000
χ752222222222-2-2-2-2-220000000022222-2-2-2-2-22-2000000220000222-222-2-20000-2-200002-22-2-2-220-2002002-2-200-200200-200-222200002200-200-200000000000000000000
χ762222222222-2-2-2-2-220000000022222-2-2-2-2-22-2000000-2-20000-2-22-2222200002200002-22-2-2-220200-2002-2200200-200200-22-2-20000-2-200200200000000000000000000
χ772222222222-2-2-2-2-22000000002-2-2-2-222222-2-20000000022-2-20022-2200-2-222000000-22-22-22-200-2-20002-20-22000022000-220022-2-200000-22000000000000000000000
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Here i is the imaginary unit (i² = −1).