Finite Group Databasebeta

← Group #72337739

Character table — Group #72337739

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142
size11112222224444444488888888888888888888881616161616161616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232323232323232323232323232646464646464646464646464646464646464646464646464128128128128
order1222222222222222222222222222222222224444222222222222444444444444444444444422444444444444444444444444444444444444444444444444444444888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111
χ5111111111111111111111111111111-1-1-1-111111111111111-1-111111111-1-1-1-1111111-1-1-1-1111-111-1-11-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111111-1-1-1-111111111111111-1-111111111-1-1-1-111-1-1-1-11111111-111-1-11-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ7111111111111111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-11-1-111-11-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ8111111111111111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-111-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-111-1-1
χ911111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111111111111111111111-11-1-111-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1011111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-11-1-111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-111111111111-111-1-11-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ1211111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-111-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-1
χ1311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-111
χ1411111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ1511111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ1611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111
χ17111111-1-1-1-1-1-11111111111-1-1-1-111111111-1-111-1-11-111-1-1-1-1-1-11111-1-1-1-111-1-111ii−i−iii−i−i-1-111-1-1-1-11111-1-1i−ii−iii−i−iii−i−i111111-1-111-1-111-1-1-1-11-1-1-111ii−i−iii−i−iii−i−iii−i−ii−ii−i
χ18111111-1-1-1-1-1-11111111111-1-1-1-111111111-1-111-1-11-111-1-1-1-1-1-11111-1-1-1-111-1-111−i−iii−i−iii-1-111-1-1-1-11111-1-1−ii−ii−i−iii−i−iii111111-1-111-1-111-1-1-1-11-1-1-111−i−iii−i−iii−i−iii−i−iii−ii−ii
χ19111111-1-1-1-1-1-11111111111-1-1-1-111111111-1-111-1-11-111-1-1-1-1-1-1-1-111111111-1-1-1-1ii−i−iii−i−i-1-1-1-11111-1-111-1-1i−ii−iii−i−iii−i−i111111-1-1-1-111-1-11111-11-1-1-1-1ii−i−iii−i−i−i−iii−i−iii−ii−ii
χ20111111-1-1-1-1-1-11111111111-1-1-1-111111111-1-111-1-11-111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−iii−i−iii-1-1-1-11111-1-111-1-1−ii−ii−i−iii−i−iii111111-1-1-1-111-1-11111-11-1-1-1-1−i−iii−i−iiiii−i−iii−i−ii−ii−i
χ21111111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-11-111-1-1-1-1111111-1-1-1-1-1-11111ii−i−i−i−iii-1-11-1-1-1111-1-1-111i−i−iiii−i−i−i−iii-1-1-1-111-1-111-1-111-1-111-1111-1-1ii−i−i−i−iiiii−i−i−i−iiii−i−ii
χ22111111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-11-111-1-1-1-1111111-1-1-1-1-1-11111−i−iiiii−i−i-1-11-1-1-1111-1-1-111−iii−i−i−iiiii−i−i-1-1-1-111-1-111-1-111-1-111-1111-1-1−i−iiiii−i−i−i−iiiii−i−i−iii−i
χ23111111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-11-111-1-1-1-111-1-1111111-1-111-1-1ii−i−i−i−iii-1-1-1111-1-1-11-1-111i−i−iiii−i−i−i−iii-1-1-1-111-1-1-1-111-1-111-1-11-11111ii−i−i−i−iii−i−iiiii−i−i−iii−i
χ24111111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-11-111-1-1-1-111-1-1111111-1-111-1-1−i−iiiii−i−i-1-1-1111-1-1-11-1-111−iii−i−i−iiiii−i−i-1-1-1-111-1-1-1-111-1-111-1-11-11111−i−iiiii−i−iii−i−i−i−iiii−i−ii
χ25111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-11-1-1-11111-1-11111-1-1-1-111-1-111ii−i−iii−i−i-1-1-1111-1-1-1111-1-1i−ii−iii−i−iii−i−i-1-1-1-1-1-11111-1-1-1-111111-111-1-1−i−iii−i−iiiii−i−iii−i−i−ii−ii
χ26111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-11-1-1-11111-1-11111-1-1-1-111-1-111−i−iii−i−iii-1-1-1111-1-1-1111-1-1−ii−ii−i−iii−i−iii-1-1-1-1-1-11111-1-1-1-111111-111-1-1ii−i−iii−i−i−i−iii−i−iiii−ii−i
χ27111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-11-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−iii−i−i-1-11-1-1-1111-111-1-1i−ii−iii−i−iii−i−i-1-1-1-1-1-111-1-11111-1-1-1-1-111111−i−iii−i−iii−i−iii−i−iiii−ii−i
χ28111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-11-1-1-11111-1-1-1-111111111-1-1-1-1−i−iii−i−iii-1-11-1-1-1111-111-1-1−ii−ii−i−iii−i−iii-1-1-1-1-1-111-1-11111-1-1-1-1-111111ii−i−iii−i−iii−i−iii−i−i−ii−ii
χ29111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-11111111111-1-1-1-1-1-11111ii−i−i−i−iii-1-1-1-11111-1-1-1-111i−i−iiii−i−i−i−iii1111-1-11111-1-1-1-111-1-1-11-1-111−i−iiiii−i−iii−i−i−i−iii−iii−i
χ30111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-11111111111-1-1-1-1-1-11111−i−iiiii−i−i-1-1-1-11111-1-1-1-111−iii−i−i−iiiii−i−i1111-1-11111-1-1-1-111-1-1-11-1-111ii−i−i−i−iii−i−iiiii−i−ii−i−ii
χ31111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1111111-1-1111111-1-111-1-1ii−i−i−i−iii-1-111-1-1-1-111-1-111i−i−iiii−i−i−i−iii1111-1-111-1-11111-1-1111-1-1-1-1-1−i−iiiii−i−i−i−iiiii−i−ii−i−ii
χ32111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1111111-1-1111111-1-111-1-1−i−iiiii−i−i-1-111-1-1-1-111-1-111−iii−i−i−iiiii−i−i1111-1-111-1-11111-1-1111-1-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii−iii−i
χ3322222222222222222222222222222222-2-222-2-2-2-2-2-22222222-200-2-200002-22-20000000000-2-2000000002-22-200000000000022-2-2-2-2-2-20000000000002-20000000000000000000000
χ34222222222222222222222222222222-2-22222-2-2-2-2-2-2222222-2200-2-20000-22-220000000000-2-200000000-22-22000000000000-2-222-2-2-2-2000000000000-220000000000000000000000
χ3522222222222222222222222222-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-22-200-2-200002-22-20000000000-2-2000000002-22-2000000000000-2-2222222000000000000-220000000000000000000000
χ3622222222222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2200-2-20000-22-220000000000-2-200000000-22-2200000000000022-2-222220000000000002-20000000000000000000000
χ37222222222222222222-2-2-2-222-2-200002222-2-22222220000002222-2-2222222222200000000-2-202002202-2-2-2-200000000000000000000-2-2-2-2000000-2-2000000000000000000000000
χ38222222222222222222-2-2-2-222-2-200002222-2-222222200000022-2-2-2-2-2-2-2-22222-2-200000000-2-20-200-2-20-2-2-2-2-200000000000000000000222200000022000000000000000000000000
χ39222222222222222222-2-2-2-222-2-2000022-2-2-2-2-2-2-2-2-2-20000002-2002200002-22-200000000002220220020-22-22000000000000000000000000-2-2-2-22-200002-200000000000000000000
χ40222222222222222222-2-2-2-222-2-2000022-2-2-2-2-2-2-2-2-2-20000002-2002200002-22-2000000000022-20-2-200-20-22-220000000000000000000000002222-220000-2200000000000000000000
χ41222222222222222222-2-2-2-222-2-20000-2-222-2-2-2-2-2-2-2-2000000-2200220000-22-22000000000022202200202-22-2000000000000000000000000-2-2-2-2-220000-2200000000000000000000
χ42222222222222222222-2-2-2-222-2-20000-2-222-2-2-2-2-2-2-2-2000000-2200220000-22-22000000000022-20-2-200-202-22-200000000000000000000000022222-200002-200000000000000000000
χ43222222222222222222-2-2-2-222-2-20000-2-2-2-2-2-2222222000000-2-222-2-22222-2-2-2-22200000000-2-20-200-2-20-2222200000000000000000000-2-2-2-200000022000000000000000000000000
χ44222222222222222222-2-2-2-222-2-20000-2-2-2-2-2-2222222000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2020022022222000000000000000000002222000000-2-2000000000000000000000000
χ45222222222222-2-22-2-2222-2-2-2-22-2000000002-22222-2-2000000002-22-222-2-200002-2000022222-200000000000000220000-2-2-2-2000000002-22-20000000000000000000000002-22-20000
χ46222222222222-2-22-2-2222-2-2-2-22-2000000002-22222-2-2000000002-22-222-2-200002-20000-2-2-2-22-200000000000000-2-200002222000000002-22-2000000000000000000000000-22-220000
χ47222222222222-2-22-2-2222-2-2-2-22-2000000002-22222-2-200000000-222-2-2-2220000-22000022222-200000000000000220000-2-2-2-200000000-22-22000000000000000000000000-22-220000
χ48222222222222-2-22-2-2222-2-2-2-22-2000000002-22222-2-200000000-222-2-2-2220000-220000-2-2-2-22-200000000000000-2-20000222200000000-22-220000000000000000000000002-22-20000
χ49222222222222-2-22-2-22-2-222-2-2-2200000000-222222-2-2000000002-2-2222-2-200002-222220000-220000000000002200-2-2-2-2000000000000-22-22000000000000000000002-22-200000000
χ50222222222222-2-22-2-22-2-222-2-2-2200000000-222222-2-2000000002-2-2222-2-200002-2-2-2-2-20000-22000000000000-2-2002222000000000000-22-2200000000000000000000-22-2200000000
χ51222222222222-2-22-2-22-2-222-2-2-2200000000-222222-2-200000000-22-22-2-2220000-2222220000-220000000000002200-2-2-2-20000000000002-22-200000000000000000000-22-2200000000
χ52222222222222-2-22-2-22-2-222-2-2-2200000000-222222-2-200000000-22-22-2-2220000-22-2-2-2-20000-22000000000000-2-20022220000000000002-22-2000000000000000000002-22-200000000
χ53222222-2-2-2-2-2-22222222222-2-2-2-2222222-2-2-2-2-2-222-2222-2-2-2-2-2200-2-200002-2-22000000000022000000002-2-2200000000000022-2-2-2-222000000000000-220000000000000000000000
χ54222222-2-2-2-2-2-22222222222-2-2-2-22222-2-222-2-2-2-222-2222-2-2-2-22-200-2-20000-222-200000000002200000000-222-2000000000000-2-222-2-2220000000000002-20000000000000000000000
χ55222222-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-222-22-2-22222-2200-2-200002-2-22000000000022000000002-2-22000000000000-2-22222-2-20000000000002-20000000000000000000000
χ56222222-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-222-22-2-222222-200-2-20000-222-200000000002200000000-222-200000000000022-2-222-2-2000000000000-220000000000000000000000
χ57222222-2-2-2-2-2-2222222-2-2-2-2-2-222000022222222-2-22-2000000-2-222-2-2-2-2-2-222-2-22200000000220200-2-202-2-22200000000000000000000-2-222000000-22000000000000000000000000
χ58222222-2-2-2-2-2-2222222-2-2-2-2-2-222000022222222-2-22-2000000-2-2-2-2-2-2222222-2-2-2-200000000220-200220-2-2-2220000000000000000000022-2-20000002-2000000000000000000000000
χ59222222-2-2-2-2-2-2222222-2-2-2-2-2-222000022-2-222-2-222-22000000-22002200002-2-220000000000-2-220-2-20020-222-2000000000000000000000000-2-222-2200002-200000000000000000000
χ60222222-2-2-2-2-2-2222222-2-2-2-2-2-222000022-2-222-2-222-22000000-22002200002-2-220000000000-2-2-202200-20-222-200000000000000000000000022-2-22-20000-2200000000000000000000
χ61222222-2-2-2-2-2-2222222-2-2-2-2-2-2220000-2-22222-2-222-220000002-200220000-222-20000000000-2-220-2-200202-2-22000000000000000000000000-2-2222-20000-2200000000000000000000
χ62222222-2-2-2-2-2-2222222-2-2-2-2-2-2220000-2-22222-2-222-220000002-200220000-222-20000000000-2-2-202200-202-2-2200000000000000000000000022-2-2-2200002-200000000000000000000
χ63222222-2-2-2-2-2-2222222-2-2-2-2-2-2220000-2-2-2-22222-2-22-20000002222-2-2-2-2-2-2-2-2222200000000220-200220-222-2-200000000000000000000-2-2220000002-2000000000000000000000000
χ64222222-2-2-2-2-2-2222222-2-2-2-2-2-2220000-2-2-2-22222-2-22-200000022-2-2-2-22222-2-222-2-200000000220200-2-20222-2-20000000000000000000022-2-2000000-22000000000000000000000000
χ65222222-2-2-2-2-2-2-2-22-2-2222-2-222-2200000000-2222-2-2-22000000002-22-2-2-22200002-200002i2i−2i−2i-22000000000000002i−2i0000−2i−2i2i2i000000002-2-220000000000000000000000002i−2i−2i2i0000
χ66222222-2-2-2-2-2-2-2-22-2-2222-2-222-2200000000-2222-2-2-22000000002-22-2-2-22200002-20000−2i−2i2i2i-2200000000000000−2i2i00002i2i−2i−2i000000002-2-22000000000000000000000000−2i2i2i−2i0000
χ67222222-2-2-2-2-2-2-2-22-2-2222-2-222-2200000000-2222-2-2-2200000000-222-222-2-20000-2200002i2i−2i−2i-22000000000000002i−2i0000−2i−2i2i2i00000000-222-2000000000000000000000000−2i2i2i−2i0000
χ68222222-2-2-2-2-2-2-2-22-2-2222-2-222-2200000000-2222-2-2-2200000000-222-222-2-20000-220000−2i−2i2i2i-2200000000000000−2i2i00002i2i−2i−2i00000000-222-20000000000000000000000002i−2i−2i2i0000
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Here i is the imaginary unit (i² = −1).