Finite Group Databasebeta

← Group #72265775

Character table — Group #72265775

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size111122222222444444444444444888888888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616163232323232323232323232326464646464646464
order12222222222222222222222222222222222222222224444444444442222222444444444444444444444444444444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-111111111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111-1-1-1-111111111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111-1-1-1-111111111-1-1-1-11111111-1-111-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111-1-1-1-111111111-1-1-1-11111111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1
χ911111111111111111111-1-1-1-111111-1-1-1-111-1-111-1-1111111-1-111-1-111-11-11-11-1-1-11-1-1-11-11-111-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ1011111111111111111111-1-1-1-111111-1-1-1-111-1-111-1-1111111-1-111-1-111-11-11-11-1-1-11-1-1-11-11-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111
χ1111111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-111111111-1-1-1-11111-11-1-11-11-1-1-11-1-11-1-11-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111
χ1211111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-111111111-1-1-1-11111-11-1-11-11-1-1-11-1-11-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-111-1-1
χ1311111111111111111111-1-1-1-111111-1-1-1-1-1-11111-1-11111-1-11111-1-111-1-111-1-11-1-1-11-1-1-111-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ1411111111111111111111-1-1-1-111111-1-1-1-1-1-11111-1-11111-1-11111-1-111-1-111-1-11-1-1-11-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1
χ1511111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1111111-1-111-1-11111-1-11-111-1-1-11-1-1-1-11-1111-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ1611111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1111111-1-111-1-11111-1-11-111-1-1-11-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-111
χ17111111-1-1-1-11111111-1-1-11111-1-1-11111-1-111111111-1-111-1-1-1-11111-1-1-111-1-1111-1-1-11-1-1-1-1-11-11-1iiii−i−i−i−i11-1-111-1-111-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ18111111-1-1-1-11111111-1-1-11111-1-1-11111-1-111111111-1-111-1-1-1-11111-1-1-111-1-1111-1-1-11-1-1-1-1-11-11-1−i−i−i−iiiii11-1-111-1-111-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ19111111-1-1-1-11111111-1-1-11111-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-11-1111-1-1-111-11-11iiii−i−i−i−i11-1-111-1-1-1-111-1-111-1-111-1-111ii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ20111111-1-1-1-11111111-1-1-11111-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-11-1111-1-1-111-11-11−i−i−i−iiiii11-1-111-1-1-1-111-1-111-1-111-1-111−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ21111111-1-1-1-11111111-1-1-11111-1-1-11111-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-11-1111-111-1-1-11-11iiii−i−i−i−i-1-111-1-11111-1-111-1-1-1-111-1-111ii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ22111111-1-1-1-11111111-1-1-11111-1-1-11111-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-11-1111-111-1-1-11-11−i−i−i−iiiii-1-111-1-11111-1-111-1-1-1-111-1-111−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ23111111-1-1-1-11111111-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-1-11-111111-11-1iiii−i−i−i−i-1-111-1-111-1-111-1-11111-1-111-1-1ii−i−i−i−iii−i−iii−ii−iii−ii−i
χ24111111-1-1-1-11111111-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-1-11-111111-11-1−i−i−i−iiiii-1-111-1-111-1-111-1-11111-1-111-1-1−i−iiiii−i−iii−i−ii−ii−i−ii−ii
χ25111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1-1-111-1-111-1-11-11-11-11-111-1-11iiii−i−i−i−i11-1-1-1-11111-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iiii−i−iii−i−ii
χ26111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1-1-111-1-111-1-11-11-11-11-111-1-11−i−i−i−iiiii11-1-1-1-11111-1-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−iii−i−iii−i
χ27111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-11-1-11-111-1-11-111-1-111-1iiii−i−i−i−i11-1-1-1-111-1-11111-1-1-1-11111-1-1−i−iiiii−i−i−i−iii−iii−i−iii−i
χ28111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-11-1-11-111-1-11-111-1-111-1−i−i−i−iiiii11-1-1-1-111-1-11111-1-1-1-11111-1-1ii−i−i−i−iiiii−i−ii−i−iii−i−ii
χ29111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-11-11-11-11-111-1-111-1-11-111-1iiii−i−i−i−i-1-11111-1-111-1-1-1-111-1-11111-1-1−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ30111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-11-11-11-11-111-1-111-1-11-111-1−i−i−i−iiiii-1-11111-1-111-1-1-1-111-1-11111-1-1ii−i−iii−i−i−i−iii−iii−ii−i−ii
χ31111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-11-111-11-1-11-11-111-11-11-1-11iiii−i−i−i−i-1-11111-1-1-1-11111-1-111-1-1-1-111−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ32111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-11-111-11-1-11-11-111-11-11-1-11−i−i−i−iiiii-1-11111-1-1-1-11111-1-111-1-1-1-111ii−i−iii−i−i−i−iiii−i−ii−iii−i
χ33222222222222222222222222222-2-2222222220000-2-2-2-222220000-2-22220000-2-200-2-22200000000000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ34222222222222222222222222222-2-22222-2-2-2-20000-2-2-2-2-2-2-2-20000-2-22-2-20000-2-200-2-2-2-20000000000000022222222000000000000000000000000000000000000
χ3522222222222222222222-2-2-2-2222-2-2-2-2-2-222-2-20000-2-2-2-222-2-20000-2-2-22-200002200222-200000000000000-2-2-2-22222000000000000000000000000000000000000
χ3622222222222222222222-2-2-2-2222-2-2-2-2-2-2-2-2220000-2-2-2-2-2-2220000-2-2-2-220000220022-22000000000000002222-2-2-2-2000000000000000000000000000000000000
χ372222222222222-2-2-2-22-2-222222-2-222-2-2220000222222-2-200002222-2-2-2002200-2-20022002200000000000000000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ382222222222222-2-2-2-22-2-222222-2-222-2-2220000-2-2-2-222-2-20000-2-2-2-2-2-2-200-2-200-2-2002200-2-200000000000000000000222222220000000000000000000000000000
χ392222222222222-2-2-2-22-2-222222-2-2-2-2-2-22200000000-2-2220000000022-20000222222-2-200002222000000000000000000000000-2-2-2-2-2-2-2-200000000000000000000
χ402222222222222-2-2-2-22-2-222222-2-2-2-2-2-22200000000-2-2220000000022-20000-2-222-2-2-2-20000-2-2-2-20000000000000000000000002222222200000000000000000000
χ412222222222222-2-2-2-22-2-2-2-2-2-22-2-22222-2-2000022-2-222-2-2000022-2-2-2-22002-2002200-2-2002-200000000000000000000-2-2-2-222220000000000000000000000000000
χ422222222222222-2-2-2-22-2-2-2-2-2-22-2-22222-2-20000-2-22222-2-20000-2-222-2-2200-22002200-2-200-22000000000000000000002222-2-2-2-20000000000000000000000000000
χ432222222222222-2-2-2-22-2-2-2-2-2-22-2-2-2-222-2-200000000-2-2220000000022200002-2-2-22-222000022-2-2000000000000000000000000-2-2-2-2222200000000000000000000
χ442222222222222-2-2-2-22-2-2-2-2-2-22-2-2-2-222-2-200000000-2-222000000002220000-22-2-2-22220000-2-2220000000000000000000000002222-2-2-2-200000000000000000000
χ45222222-2-2-2-22222222-2-2-22222-2-2-2-2-222-2-22222000022-2-2-2-2-2-2000022-2220000-2200-22-2-200000000000000-2-222-2-222000000000000000000000000000000000000
χ46222222-2-2-2-22222222-2-2-22222-2-2-2-2-222-2-2-2-2-2-2000022-2-22222000022-2-2-20000-2200-22220000000000000022-2-222-2-2000000000000000000000000000000000000
χ47222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2000022-2-2-2-22200002222-200002-2002-2-2200000000000000-2-22222-2-2000000000000000000000000000000000000
χ48222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222000022-2-222-2-20000222-2200002-2002-22-20000000000000022-2-2-2-222000000000000000000000000000000000000
χ49222222-2-2-2-2222-2-2-2-2-2222222-22222-2-2-2-200002222-2-2-2-20000222222200-2-200-22002-200-2-200000000000000000000-2-222-2-2220000000000000000000000000000
χ50222222-2-2-2-2222-2-2-2-2-2222222-22222-2-2-2-20000-2-2-2-2-2-2-2-20000-2-2-2-2222002200-22002-200220000000000000000000022-2-222-2-20000000000000000000000000000
χ51222222-2-2-2-2222-2-2-2-2-2222222-222-2-2-2-2-2-200000000222200000000-2-220000222-2-2-2-2200002-22-2000000000000000000000000-2-222-2-22200000000000000000000
χ52222222-2-2-2-2222-2-2-2-2-2222222-222-2-2-2-2-2-200000000222200000000-2-220000-2-22-222-220000-22-2200000000000000000000000022-2-222-2-200000000000000000000
χ53222222-2-2-2-2222-2-2-2-2-222-2-2-2-2-222222222000022-2-2-2-2-2-2000022-2-222-200-22002-200-2200-2200000000000000000000-2-22222-2-20000000000000000000000000000
χ54222222-2-2-2-2222-2-2-2-2-222-2-2-2-2-2222222220000-2-222-2-2-2-20000-2-22222-2002-2002-200-22002-20000000000000000000022-2-2-2-2220000000000000000000000000000
χ55222222-2-2-2-2222-2-2-2-2-222-2-2-2-2-222-2-2222200000000222200000000-2-2-200002-2-22-222-200002-2-22000000000000000000000000-2-22222-2-200000000000000000000
χ56222222-2-2-2-2222-2-2-2-2-222-2-2-2-2-222-2-2222200000000222200000000-2-2-20000-22-222-22-20000-222-200000000000000000000000022-2-2-2-22200000000000000000000
χ572222-2-2222222-222-2-2-22-20000-22-22-20000002200222-22-2002200-2-22-200-2022000-20000-20-2-22000000000000002-22-200002-22-22-22-2000000000000000000000000
χ582222-2-2222222-222-2-2-22-20000-22-22-20000002200-2-22-22-2002200222-200-20-2-200020000-2022-2000000000000002-22-20000-22-22-22-22000000000000000000000000
χ592222-2-2222222-222-2-2-22-20000-22-22-2000000-2-200222-22-200-2-200-2-22-200202-20002000020-22-200000000000000-22-2200002-22-2-22-22000000000000000000000000
χ602222-2-2222222-222-2-2-22-20000-22-22-2000000-2-200-2-22-22-200-2-200222-20020-22000-20000202-2200000000000000-22-220000-22-222-22-2000000000000000000000000
χ612222-2-2222222-222-2-2-22-20000-22-2-22000000222200-22-220022-2-200-2200-22002000-2000-2-2000-22000000000000-22-222-22-2000000002-22-200000000000000000000
χ622222-2-2222222-222-2-2-22-20000-22-2-2200000022-2-200-22-2200222200-2200-2-200-20002000-220002-2000000000000-22-22-22-2200000000-22-2200000000000000000000
χ632222-2-2222222-222-2-2-22-20000-22-2-22000000-2-22200-22-2200-2-2-2-200-22002200-200020002-20002-20000000000002-22-22-22-200000000-22-2200000000000000000000
χ642222-2-2222222-222-2-2-22-20000-22-2-22000000-2-2-2-200-22-2200-2-22200-22002-2002000-200022000-220000000000002-22-2-22-22000000002-22-200000000000000000000
χ652222-2-2222222-2-2-222-2-220000-2-222-20000220000222-2-22220000-2-2-220-200202000-200-200-200-22000000002-22-200000000-22-220000-22-2200000000000000000000
χ662222-2-2222222-2-2-222-2-220000-2-222-20000220000-2-22-2-2222000022-220-200-20-2000200-2002002-2000000002-22-2000000002-22-200002-22-200000000000000000000
χ672222-2-2222222-2-2-222-2-220000-2-222-20000-2-20000222-2-22-2-20000-2-2-22020020-2000200200-2002-200000000-22-2200000000-22-2200002-22-200000000000000000000
χ682222-2-2222222-2-2-222-2-220000-2-222-20000-2-20000-2-22-2-22-2-2000022-220200-202000-200200200-2200000000-22-22000000002-22-20000-22-2200000000000000000000
χ692222-2-2222222-2-2-222-2-220000-2-22-22000022002200-222-22200-2-2002-20-20202000-2000-20-20-220000000000-22-220000-22-220000-22-22000000000000000000000000
χ702222-2-2222222-2-2-222-2-220000-2-22-2200002200-2-200-222-2220022002-20-20-20-20002000-20202-20000000000-22-2200002-22-200002-22-2000000000000000000000000
χ712222-2-2222222-2-2-222-2-220000-2-22-220000-2-2002200-222-2-2-200-2-2002-202020-2000200020-202-200000000002-22-20000-22-2200002-22-2000000000000000000000000
χ722222-2-2222222-2-2-222-2-220000-2-22-220000-2-200-2-200-222-2-2-20022002-2020-202000-20002020-2200000000002-22-200002-22-20000-22-22000000000000000000000000
χ732222-2-2-2-2-2-222-222-2-22-2200002-222-2000000220022-222-200-2-200-2-2-2200-20-2200020000202-2-2000000000000002-2-2200002-2-222-2-22000000000000000000000000
χ742222-2-2-2-2-2-222-222-2-22-2200002-222-20000002200-2-2-222-200-2-20022-2200-202-2000-2000020-222000000000000002-2-220000-222-2-222-2000000000000000000000000
χ752222-2-2-2-2-2-222-222-2-22-2200002-222-2000000-2-20022-222-2002200-2-2-220020-2-2000-20000-2022200000000000000-222-200002-2-22-222-2000000000000000000000000
χ762222-2-2-2-2-2-222-222-2-22-2200002-222-2000000-2-200-2-2-222-200220022-2200202200020000-20-2-2-200000000000000-222-20000-222-22-2-22000000000000000000000000
χ772222-2-2-2-2-2-222-222-2-22-2200002-22-220000002222002-2-2200-2-2-2-2002-200-2-2002000200022000-2-2000000000000-222-22-2-22000000002-2-2200000000000000000000
χ782222-2-2-2-2-2-222-222-2-22-2200002-22-2200000022-2-2002-2-2200-2-222002-200-2200-2000-20002-200022000000000000-222-2-222-200000000-222-200000000000000000000
χ792222-2-2-2-2-2-222-222-2-22-2200002-22-22000000-2-222002-2-220022-2-2002-2002-200-2000-2000-22000220000000000002-2-222-2-2200000000-222-200000000000000000000
χ802222-2-2-2-2-2-222-222-2-22-2200002-22-22000000-2-2-2-2002-2-22002222002-200220020002000-2-2000-2-20000000000002-2-22-222-2000000002-2-2200000000000000000000
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χ1148888-8-8-8-888-8-8800008000000-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8008-88-88-8000-8800-8000000800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8008-8-88-880-880008000000-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-800-888-8-880-88000-80000008000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1238-8-88-88000000000000008-80000000000000004-44-400000000-44-44000000000000000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).