Finite Group Databasebeta

← Group #72260638

Character table — Group #72260638

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109
size1111222222222222444444444444444448888888888888888888888888888888888888888888888888888161616161616161616161616161616163232323232323232
order1222222222222222222222222224444442222222222222444444444444444444444444444444444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ5111111111111111111111111111-1-111-1-1111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111111-1-111-1-1111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ7111111111111111111111111111-1-111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111
χ8111111111111111111111111111-1-111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ9111111111111111111111-1-1111111-1-111-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1111-1-111-1-111-1-1-1-1-1111-1-111-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-1
χ10111111111111111111111-1-1111111-1-111-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1111-1-111-1-111-1-1-1-1-1111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ11111111111111111111111-1-1111111-1-111-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111111-1-1-1-111-1-111-1-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ12111111111111111111111-1-1111111-1-111-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111111-1-1-1-111-1-111-1-1-1111-1-1-1-111-1-111-1-1-1-1111111111111-1-111-1-1-1-1
χ13111111111111111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ14111111111111111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ15111111111111111111111-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ16111111111111111111111-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ1711111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-11-1-1111-11-11-11-1-1-11-11-11-11-11-1-1111-11-11-11-111-111-1-1-11-11-11-11-1ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ1811111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-11-1-1111-11-11-11-1-1-11-11-11-11-11-1-1111-11-11-11-111-111-1-1-11-11-11-11-1−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ1911111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-11-1-111-11-11-11-11-1-1-11-11-11-111-1-111-11-11-11-1111-111-1-1-1-11-11-11-11ii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ2011111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-11-1-111-11-11-11-11-1-1-11-11-11-111-1-111-11-11-11-1111-111-1-1-1-11-11-11-11−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ2111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111-1-1-1-11-11-1-11-11111-11-1-11-11-111-1-11-11-1-11-1111-1-1-11111-11-1-11-11ii−i−iii−i−iii−i−i−i−iii−ii−iii−i−ii
χ2211111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111-1-1-1-11-11-1-11-11111-11-1-11-11-111-1-11-11-1-11-1111-1-1-11111-11-1-11-11−i−iii−i−iii−i−iiiii−i−ii−ii−i−iii−i
χ2311111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-111-11-111-11-111-11-1-111-1-1-11-111-11-111-1-1-1111-11-111-11-1ii−i−iii−i−i−i−iiiii−i−i−ii−ii−iii−i
χ2411111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-111-11-111-11-111-11-1-111-1-1-11-111-11-111-1-1-1111-11-111-11-1−i−iii−i−iiiii−i−i−i−iiii−ii−ii−i−ii
χ2511111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-111-1-11-1-111-1-11111-1-111-1-111-1-1-1-11-1-111-1-11-1-1111-1111-1-111-1-11ii−i−i−i−iiiii−i−iii−i−ii−i−ii−ii−ii
χ2611111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-111-1-11-1-111-1-11111-1-111-1-111-1-1-1-11-1-111-1-11-1-1111-1111-1-111-1-11−i−iiiii−i−i−i−iii−i−iii−iii−ii−ii−i
χ2711111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-111-1-1-111-1-111-111-111-1-111-11-1-1-1-1-111-1-111-1-1-1111-111-111-1-111-1ii−i−i−i−iii−i−iii−i−iiii−i−iii−ii−i
χ2811111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-111-1-1-111-1-111-111-111-1-111-11-1-1-1-1-111-1-111-1-1-1111-111-111-1-111-1−i−iiiii−i−iii−i−iii−i−i−iii−i−ii−ii
χ2911111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-111111-1-11-111-1-1-11-1-11-111-1-111111-1-11-111-1-1-11-1-11-1-11-1-11-111-1ii−i−i−i−iiiii−i−i−i−iii−iii−i−iii−i
χ3011111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-111111-1-11-111-1-1-11-1-11-111-1-111111-1-11-111-1-1-11-1-11-1-11-1-11-111-1−i−iiiii−i−i−i−iiiii−i−ii−i−iii−i−ii
χ3111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-11111-111-11-1-11-1-1-111-11-1-11-11111-111-11-1-11-1-11-1-11-1-1-111-11-1-11ii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ3211111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-11111-111-11-1-11-1-1-111-11-1-11-11111-111-11-1-11-1-11-1-11-1-1-111-11-1-11−i−iiiii−i−iii−i−i−i−iiii−i−ii−iii−i
χ332222222222-2-222-2-22-2-2-2-22222-2-22222-2-22-2-2-2-20000000022000000002222200000000-2-22-2-2-2-2-200000000000000000000000000000000
χ342222222222-2-222-2-22-2-2-2-22222-2-2-2-222222-2-22200000000-2-200000000-2-2-2-2-200000000-2-222222200000000000000000000000000000000
χ352222222222-2-222-2-22-2-2-2-2-2-222-2-222-2-2-2-2-2222200000000-2-200000000222-2-20000000022-2-2-2-22200000000000000000000000000000000
χ362222222222-2-222-2-22-2-2-2-2-2-222-2-2-2-2-2-222-222-2-2000000002200000000-2-2-2220000000022-2222-2-200000000000000000000000000000000
χ3722222222-2-222-2-2222-2-2-2-222-2-22222-2-222222-2-200000000-2-2000000002-2-22200000000-2-2-2-2-222200000000000000000000000000000000
χ3822222222-2-222-2-2222-2-2-2-222-2-222-2-2-2-2-2-222222000000002200000000-222-2-200000000-2-2-222-2-2-200000000000000000000000000000000
χ3922222222-2-222-2-2222-2-2-2-2-2-2-2-222222222-2-2-2220000000022000000002-2-2-2-200000000222-2-22-2-200000000000000000000000000000000
χ4022222222-2-222-2-2222-2-2-2-2-2-2-2-222-2-222-2-2-2-2-2-2-200000000-2-200000000-222220000000022222-22200000000000000000000000000000000
χ41222222-2-2222-2222-2-222-2-222-2-22-2002200-22-20000002222000000-2-2-2-2000000000-2-2-2-22-2-20000000002222000000000000000000000000
χ42222222-2-2222-2222-2-222-2-222-2-22-2002200-22-2000000-2-2-2-2000000222200000000022222-2-2000000000-2-2-2-2000000000000000000000000
χ43222222-2-2222-2222-2-222-2-2-2-2-2-22-200-2-2002-2200000022-2-2000000-2-222000000000-2-222-22200000000022-2-2000000000000000000000000
χ44222222-2-2222-2222-2-222-2-2-2-2-2-22-200-2-2002-22000000-2-22200000022-2-200000000022-2-2-222000000000-2-222000000000000000000000000
χ45222222-2-222-2222-22-2-2-22222-2-2-22002200-2-22002222000000-2-2-2-2000000000-2-2-2-20000-22-20000022220000000000000000000000000000
χ46222222-2-222-2222-22-2-2-22222-2-2-22002200-2-2200-2-2-2-2000000222200000000022220000-22-200000-2-2-2-20000000000000000000000000000
χ47222222-2-222-2222-22-2-2-222-2-2-2-2-2200-2-20022-20022-2-2000000-2-222000000000-2-22200002-220000022-2-20000000000000000000000000000
χ48222222-2-222-2222-22-2-2-222-2-2-2-2-2200-2-20022-200-2-22200000022-2-200000000022-2-200002-2200000-2-2220000000000000000000000000000
χ49222222-2-2-2-22-2-2-22-2-2-2-22222222-200-2-200-22-2002-22-2000000-22-22000000000-22-220000-222000002-22-20000000000000000000000000000
χ50222222-2-2-2-22-2-2-22-2-2-2-22222222-200-2-200-22-200-22-220000002-22-20000000002-22-20000-22200000-22-220000000000000000000000000000
χ51222222-2-2-2-22-2-2-22-2-2-2-222-2-2222-20022002-22002-2-22000000-222-2000000000-222-200002-2-2000002-2-220000000000000000000000000000
χ52222222-2-2-2-22-2-2-22-2-2-2-222-2-2222-20022002-2200-222-20000002-2-220000000002-2-2200002-2-200000-222-20000000000000000000000000000
χ53222222-2-2-2-2-22-2-2-22-222-2-22222-2200-2-200-2-220000002-22-2000000-22-22000000000-22-222-220000000002-22-2000000000000000000000000
χ54222222-2-2-2-2-22-2-2-22-222-2-22222-2200-2-200-2-22000000-22-220000002-22-20000000002-22-22-22000000000-22-22000000000000000000000000
χ55222222-2-2-2-2-22-2-2-22-222-2-2-2-222-2200220022-20000002-2-22000000-222-2000000000-222-2-22-20000000002-2-22000000000000000000000000
χ56222222-2-2-2-2-22-2-2-22-222-2-2-2-222-2200220022-2000000-222-20000002-2-220000000002-2-22-22-2000000000-222-2000000000000000000000000
χ572222-2-2222-2222-222-22-22-2002-2-2-222002200000002200-2-200002200-2-2-22-20000-2-200220002-2-20000-2-20022000000000000000000000000
χ582222-2-2222-2222-222-22-22-2002-2-2-22200220000000-2-200220000-2-20022-22-200002200-2-20002-2-200002200-2-2000000000000000000000000
χ592222-2-2222-2222-222-22-22-2002-2-2-2-2-200-2-2000000022002200002200222-220000-2-200-2-2000-2220000-2-200-2-2000000000000000000000000
χ602222-2-2222-2222-222-22-22-2002-2-2-2-2-200-2-20000000-2-200-2-20000-2-200-2-22-220000220022000-2220000220022000000000000000000000000
χ612222-2-2222-2-2-22-2-2-2-2-22-22002-2222200-2-2000002-200-2200002-200-2200-22-200-22002-200000-22200-22002-200000000000000000000000000
χ622222-2-2222-2-2-22-2-2-2-2-22-22002-2222200-2-200000-22002-20000-22002-200-22-2002-200-2200000-222002-200-2200000000000000000000000000
χ632222-2-2222-2-2-22-2-2-2-2-22-22002-222-2-20022000002-2002-200002-2002-2002-2200-2200-22000002-2-200-2200-2200000000000000000000000000
χ642222-2-2222-2-2-22-2-2-2-2-22-22002-222-2-2002200000-2200-220000-2200-22002-22002-2002-2000002-2-2002-2002-200000000000000000000000000
χ652222-2-222-2222-2222-2-22-2200-22-2-2220022000002200-2-200002200-2-200-2-2200-2-2002200000-22-200-2-2002200000000000000000000000000
χ662222-2-222-2222-2222-2-22-2200-22-2-222002200000-2-200220000-2-2002200-2-22002200-2-200000-22-2002200-2-200000000000000000000000000
χ672222-2-222-2222-2222-2-22-2200-22-2-2-2-200-2-20000022002200002200220022-200-2-200-2-2000002-2200-2-200-2-200000000000000000000000000
χ682222-2-222-2222-2222-2-22-2200-22-2-2-2-200-2-200000-2-200-2-20000-2-200-2-20022-200220022000002-220022002200000000000000000000000000
χ692222-2-222-22-2-2-22-2-2-22-22-200-22222200-2-200000002-200-2200002-200-22-2-220000-22002-20002-220000-22002-2000000000000000000000000
χ702222-2-222-22-2-2-22-2-2-22-22-200-22222200-2-20000000-22002-20000-22002-2-2-2200002-200-220002-2200002-200-22000000000000000000000000
χ712222-2-222-22-2-2-22-2-2-22-22-200-2222-2-2002200000002-2002-200002-2002-222-20000-2200-22000-22-20000-2200-22000000000000000000000000
χ722222-2-222-22-2-2-22-2-2-22-22-200-2222-2-200220000000-2200-220000-2200-2222-200002-2002-2000-22-200002-2002-2000000000000000000000000
χ732222-2-2-2-22-22-22-22-222-2-2200-22-220000000002-22-20000222-2-220000-2-20002-22-20000220000002-2-220000-2-2000000000000000000000000
χ742222-2-2-2-22-22-22-22-222-2-2200-22-220000000002-2-220000-2-22-22-20000220002-2-220000-2-20000002-22-2000022000000000000000000000000
χ752222-2-2-2-22-22-22-22-222-2-2200-22-22000000000-222-20000-2-2-22-22000022000-222-20000-2-2000000-22-22000022000000000000000000000000
χ762222-2-2-2-22-22-22-22-222-2-2200-22-22000000000-22-22000022-222-20000-2-2000-22-22000022000000-222-20000-2-2000000000000000000000000
χ772222-2-2-2-22-2-222-2-222-222-200-222-20000000002-20022-2200-2200-2-22-200000-220022-22000000002-200-2-22-200000000000000000000000000
χ782222-2-2-2-22-2-222-2-222-222-200-222-20000000002-200-2-22-200-220022-2200000-2200-2-22-2000000002-20022-2200000000000000000000000000
χ792222-2-2-2-22-2-222-2-222-222-200-222-2000000000-2200222-2002-200-2-2-22000002-200222-200000000-2200-2-2-2200000000000000000000000000
χ802222-2-2-2-22-2-222-2-222-222-200-222-2000000000-2200-2-2-22002-200222-2000002-200-2-2-2200000000-2200222-200000000000000000000000000
χ812222-2-2-2-2-222-2-222-22-222-2002-2-220000000002-2002-2-2-2002-200-222200000-22002-2-2-200000000-2200-222200000000000000000000000000
χ822222-2-2-2-2-222-2-222-22-222-2002-2-220000000002-200-2222002-2002-2-2-200000-2200-222200000000-22002-2-2-200000000000000000000000000
χ832222-2-2-2-2-222-2-222-22-222-2002-2-22000000000-22002-22200-2200-22-2-2000002-2002-222000000002-200-22-2-200000000000000000000000000
χ842222-2-2-2-2-222-2-222-22-222-2002-2-22000000000-2200-22-2-200-22002-222000002-200-22-2-2000000002-2002-22200000000000000000000000000
χ852222-2-2-2-2-22-22-22-2222-2-22002-22-20000000002-22200002-2-22-2-20000-220002-22200002-2000000-22-2-20000-22000000000000000000000000
χ862222-2-2-2-2-22-22-22-2222-2-22002-22-20000000002-2-2-20000-22-222200002-20002-2-2-20000-22000000-222200002-2000000000000000000000000
χ872222-2-2-2-2-22-22-22-2222-2-22002-22-2000000000-22220000-222-2-2-200002-2000-22220000-220000002-2-2-200002-2000000000000000000000000
χ882222-2-2-2-2-22-22-22-2222-2-22002-22-2000000000-22-2-200002-22-2220000-22000-22-2-200002-20000002-2220000-22000000000000000000000000
χ8944-4-4004-4004-400-44000000000004i−4i004i−4i0000000000000000000000000000000000000000000000000000000000002-22-22i−2i2i−2i00000000
χ9044-4-4004-4004-400-44000000000004i−4i004i−4i000000000000000000000000000000000000000000000000000000000000-22-22−2i2i−2i2i00000000
χ9144-4-4004-4004-400-4400000000000−4i4i00−4i4i0000000000000000000000000000000000000000000000000000000000002-22-2−2i2i−2i2i00000000
χ9244-4-4004-4004-400-4400000000000−4i4i00−4i4i000000000000000000000000000000000000000000000000000000000000-22-222i−2i2i−2i00000000
χ9344-4-4004-400-44004-4000000000004i−4i00−4i4i0000000000000000000000000000000000000000000000000000000000002i−2i−2i2i-222-200000000
χ9444-4-4004-400-44004-4000000000004i−4i00−4i4i000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i2-2-2200000000
χ9544-4-4004-400-44004-400000000000−4i4i004i−4i0000000000000000000000000000000000000000000000000000000000002i−2i−2i2i2-2-2200000000
χ9644-4-4004-400-44004-400000000000−4i4i004i−4i000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i-222-200000000
χ974-4-444-4004400-4-400000004-40000004-40000000000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ984-4-444-4004400-4-400000004-40000004-4000000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ994-4-444-4004400-4-40000000-44000000-440000000000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ1004-4-444-4004400-4-40000000-44000000-44000000000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ1014-4-444-400-4-4004400000004-4000000-440000000000000000000000000000000000000000000000000000002-2-222-2-220000000000000000
χ1024-4-444-400-4-4004400000004-4000000-44000000000000000000000000000000000000000000000000000000-222-2-222-20000000000000000
χ1034-4-444-400-4-400440000000-440000004-40000000000000000000000000000000000000000000000000000002-2-22-222-20000000000000000
χ1044-4-444-400-4-400440000000-440000004-4000000000000000000000000000000000000000000000000000000-222-22-2-220000000000000000
χ10588-8-800-88008800-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-800-8800-8-80088000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-88008-800-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-8800-88008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10916-1616-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).