Finite Group Databasebeta

← Group #72266364

Character table — Group #72266364

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size1111111122222222444444444444444444444488888888888888888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616163232323232323232323232326464646464646464
order12222222222222222222222222222222222222222222222222224444444444444444444422222244444444444444444444444444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ5111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-111-1-111
χ11111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ12111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-11111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111
χ17111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-1ii−i−iii−i−i1-1111111-1-111-1-1-1-1-1-11-1i−ii−iii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i11-1-1ii−i−iii−i−i1-11-1i−ii−i
χ18111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-1ii−i−iii−i−i1-1-1-1-1-111-1-111-1-111111-1i−ii−iii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i-1-111−i−iii−i−iii-11-11−ii−ii
χ19111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-1−i−iii−i−iii1-1111111-1-111-1-1-1-1-1-11-1−ii−ii−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii11-1-1−i−iii−i−iii1-11-1−ii−ii
χ20111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-1−i−iii−i−iii1-1-1-1-1-111-1-111-1-111111-1−ii−ii−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii-1-111ii−i−iii−i−i-11-11i−ii−i
χ21111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-111ii−i−iii−i−i1-11111-1-111-1-111-1-1-1-11-1−ii−iiii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii11-1-1ii−i−iii−i−i-11-11−ii−ii
χ22111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-111ii−i−iii−i−i1-1-1-1-1-1-1-111-1-11111111-1−ii−iiii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii-1-111−i−iii−i−iii1-11-1i−ii−i
χ23111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-111−i−iii−i−iii1-11111-1-111-1-111-1-1-1-11-1i−ii−i−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i11-1-1−i−iii−i−iii-11-11i−ii−i
χ24111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-111−i−iii−i−iii1-1-1-1-1-1-1-111-1-11111111-1i−ii−i−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i-1-111ii−i−iii−i−i1-11-1−ii−ii
χ25111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111ii−i−i−i−iii-11111111-1-1-1-111-1-1-1-1-11i−i−iiii−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii-1-111ii−i−i−i−iii1-1-11i−i−ii
χ26111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111ii−i−i−i−iii-11-1-1-1-111-1-1-1-1111111-11i−i−iiii−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii11-1-1−i−iiiii−i−i-111-1−iii−i
χ27111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111−i−iiiii−i−i-11111111-1-1-1-111-1-1-1-1-11−iii−i−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i-1-111−i−iiiii−i−i1-1-11−iii−i
χ28111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111−i−iiiii−i−i-11-1-1-1-111-1-1-1-1111111-11−iii−i−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i11-1-1ii−i−i−i−iii-111-1i−i−ii
χ29111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1ii−i−i−i−iii-111111-1-11111-1-1-1-1-1-1-11−iii−iii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i-1-111ii−i−i−i−iii-111-1−iii−i
χ30111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1ii−i−i−i−iii-11-1-1-1-1-1-11111-1-11111-11−iii−iii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i11-1-1−i−iiiii−i−i1-1-11i−i−ii
χ31111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1−i−iiiii−i−i-111111-1-11111-1-1-1-1-1-1-11i−i−ii−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii-1-111−i−iiiii−i−i-111-1i−i−ii
χ32111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1−i−iiiii−i−i-11-1-1-1-1-1-11111-1-11111-11i−i−ii−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii11-1-1ii−i−i−i−iii1-1-11−iii−i
χ3322222222222222222222222222222222-2-2-2-222-2-2-2-200000000-2-2-2-2-2-20000000022222222220000000000000000-2-20000-2-2-2-2-2-2-2-2000000002222000000000000000000000000
χ3422222222222222222222222222222222-2-2-2-222-2-2-2-200000000-2-2-2-2-2-200000000-2-2-2-2-2-2-2-2220000000000000000-2-200002222222200000000-2-2-2-2000000000000000000000000
χ35222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-200000000-2-22222000000002222-2-2-2-2-2-20000000000000000220000-2-2-2-222220000000022-2-2000000000000000000000000
χ36222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-200000000-2-2222200000000-2-2-2-22222-2-200000000000000002200002222-2-2-2-200000000-2-222000000000000000000000000
χ372222222222222222-2-2-2-222-2-2222222222222-2-2-2-22222222222-2-222222222222200000000-2-20000-2-2-2-2-2-2-2-20000-2-2000000000000000000000000000000000000000000000000
χ382222222222222222-2-2-2-222-2-2222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-200000000-2-20000222222220000-2-2000000000000000000000000000000000000000000000000
χ392222222222222222-2-2-2-222-2-222222222-2-2-2-2-2-222-2-20000000022-2-2-2-20000000000000000-2-2000000000000000022222200000000-2-2-2-2-2-2-2-20000222200000000000000000000
χ402222222222222222-2-2-2-222-2-222222222-2-2-2-2-2-222-2-20000000022-2-2-2-20000000000000000-2-2000000000000000022-2-2-2-200000000222222220000-2-2-2-200000000000000000000
χ412222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-200000000220000-2-2-2-22222000022000000000000000000000000000000000000000000000000
χ422222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-2-2-22222000000002200002222-2-2-2-2000022000000000000000000000000000000000000000000000000
χ432222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2000000002222220000000000000000220000000000000000-2-222-2-200000000-2-2-2-22222000022-2-200000000000000000000
χ442222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2000000002222220000000000000000220000000000000000-2-2-2-222000000002222-2-2-2-20000-2-22200000000000000000000
χ45222222222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2220000000022-2-222000000002i2i−2i−2i2i2i−2i−2i2-20000000000000000-220000−2i−2i2i2i−2i−2i2i2i000000002i−2i2i−2i000000000000000000000000
χ46222222222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2220000000022-2-22200000000−2i−2i2i2i−2i−2i2i2i2-20000000000000000-2200002i2i−2i−2i2i2i−2i−2i00000000−2i2i−2i2i000000000000000000000000
χ47222222222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222000000002222-2-2000000002i2i−2i−2i−2i−2i2i2i-2200000000000000002-20000−2i−2i2i2i2i2i−2i−2i000000002i−2i−2i2i000000000000000000000000
χ48222222222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222000000002222-2-200000000−2i−2i2i2i2i2i−2i−2i-2200000000000000002-200002i2i−2i−2i−2i−2i2i2i00000000−2i2i2i−2i000000000000000000000000
χ49222222222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2222222-2-2-2-222-2-222-2-22222-2-222-2-222-2-200000000-220000-2-222-2-2220000-22000000000000000000000000000000000000000000000000
χ50222222222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2222222-2-2-2-2-2-222-2-2222222-2-2-2-222-2-22200000000-22000022-2-222-2-20000-22000000000000000000000000000000000000000000000000
χ51222222222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-222222200000000-2-2-2-2220000000000000000-2200000000000000002-22i−2i2i−2i00000000−2i−2i2i2i−2i−2i2i2i00002i−2i2i−2i00000000000000000000
χ52222222222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-222222200000000-2-2-2-2220000000000000000-2200000000000000002-2−2i2i−2i2i000000002i2i−2i−2i2i2i−2i−2i0000−2i2i−2i2i00000000000000000000
χ53222222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222222222-2-2-2-222-2-2-2-22222-2-22222-2-2-2-222000000002-20000-2-22222-2-200002-2000000000000000000000000000000000000000000000000
χ54222222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-22222-2-222-2-222-2-22222-2-2000000002-2000022-2-2-2-22200002-2000000000000000000000000000000000000000000000000
χ55222222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-222222200000000-2-222-2-200000000000000002-20000000000000000-222i−2i−2i2i00000000−2i−2i2i2i2i2i−2i−2i00002i−2i−2i2i00000000000000000000
χ56222222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-222222200000000-2-222-2-200000000000000002-20000000000000000-22−2i2i2i−2i000000002i2i−2i−2i−2i−2i2i2i0000−2i2i2i−2i00000000000000000000
χ5722222222-2-2-2-2222222-2-2-2-22-20000000022-2-22-22-22-2000022222-200000000-2-2-2-20000222200000000002-22-2000000-2-20000002-22-22-22-2000000-2-2220000000000000000000000
χ5822222222-2-2-2-2222222-2-2-2-22-20000000022-2-22-22-22-2000022222-200000000-2-2-2-20000-2-2-2-200000000002-22-200000022000000-22-22-22-2200000022-2-20000000000000000000000
χ5922222222-2-2-2-2222222-2-2-2-22-20000000022-2-22-22-22-20000-2-2-2-22-2000000002222000022220000000000-22-22000000220000002-22-2-22-22000000-2-2-2-20000000000000000000000
χ6022222222-2-2-2-2222222-2-2-2-22-20000000022-2-22-22-22-20000-2-2-2-22-20000000022220000-2-2-2-20000000000-22-22000000-2-2000000-22-222-22-200000022220000000000000000000000
χ6122222222-2-2-2-2222222-2-2-2-22-200000000-2-2222-2-22-2222220000-220000-2-2-2-20000000022220000002-22-2000000000000-2-20000-22-2200002-22-200-2-2002200000000000000000000
χ6222222222-2-2-2-2222222-2-2-2-22-200000000-2-2222-2-22-2222220000-220000-2-2-2-200000000-2-2-2-20000002-22-20000000000002200002-22-20000-22-22002200-2-200000000000000000000
χ6322222222-2-2-2-2222222-2-2-2-22-200000000-2-2222-2-22-22-2-2-2-20000-2200002222000000002222000000-22-22000000000000220000-22-220000-22-2200-2-200-2-200000000000000000000
χ6422222222-2-2-2-2222222-2-2-2-22-200000000-2-2222-2-22-22-2-2-2-20000-220000222200000000-2-2-2-2000000-22-22000000000000-2-200002-22-200002-22-20022002200000000000000000000
χ6522222222-2-2-2-22222-2-222-2-2-220000000022-2-2-22-222-200002222-2200000000-2-2-2-2222200000000000000-22-2200000000-2-22-22-200000000-22-22-2-200002200000000000000000000
χ6622222222-2-2-2-22222-2-222-2-2-220000000022-2-2-22-222-200002222-2200000000-2-2-2-2-2-2-2-200000000000000-22-220000000022-22-22000000002-22-2220000-2-200000000000000000000
χ6722222222-2-2-2-22222-2-222-2-2-220000000022-2-2-22-222-20000-2-2-2-2-220000000022222222000000000000002-22-200000000222-22-2000000002-22-2-2-20000-2-200000000000000000000
χ6822222222-2-2-2-22222-2-222-2-2-220000000022-2-2-22-222-20000-2-2-2-2-22000000002222-2-2-2-2000000000000002-22-200000000-2-2-22-2200000000-22-222200002200000000000000000000
χ6922222222-2-2-2-22222-2-222-2-2-2200000000-2-222-222-2-22222200002-20000-2-2-2-2000022220000000000-22-220000000000-2-200-22-220000-22-220000-2-200220000000000000000000000
χ7022222222-2-2-2-22222-2-222-2-2-2200000000-2-222-222-2-22222200002-20000-2-2-2-20000-2-2-2-20000000000-22-22000000000022002-22-200002-22-200002200-2-20000000000000000000000
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Here i is the imaginary unit (i² = −1).