Finite Group Databasebeta

← Group #72338252

Character table — Group #72338252

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size1111222222222222224444444444444444444444448888888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232
order12222222444444444422222444444444444444444422222222222244444444444422222222444444444444444444448888888888888888888888882244444444448888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111
χ511111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ711111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ811111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ9111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ10111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ11111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ12111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ13111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ14111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1
χ15111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ16111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ17111111-1-1111111-1-11111-1-1-1111-1-1-11111-1-1-1-1-11-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-11-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−i11-1-1ii−i−iii−i−iii−i−i
χ18111111-1-1111111-1-11111-1-1-1111-1-1-11111-1-1-1-1-11-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-11-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−iii-1-111−i−iii−i−iii−i−iii
χ19111111-1-1111111-1-11111-1-1-1111-1-1-11111-1-1-1-1-11-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-11-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii11-1-1−i−iii−i−iii−i−iii
χ20111111-1-1111111-1-11111-1-1-1111-1-1-11111-1-1-1-1-11-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-11-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111ii−i−i-1-111ii−i−iii−i−iii−i−i
χ21111111-1-1111111-1-11111-1-1-1111-1-1-11111-1-1-1-1-11-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-11-11iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1ii−i−i-1-111ii−i−i−i−iii−i−iii
χ22111111-1-1111111-1-11111-1-1-1111-1-1-11111-1-1-1-1-11-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-11-11iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111−i−iii11-1-1−i−iiiii−i−iii−i−i
χ23111111-1-1111111-1-11111-1-1-1111-1-1-11111-1-1-1-1-11-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-11-11−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1−i−iii-1-111−i−iiiii−i−iii−i−i
χ24111111-1-1111111-1-11111-1-1-1111-1-1-11111-1-1-1-1-11-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-11-11−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111ii−i−i11-1-1ii−i−i−i−iii−i−iii
χ25111111-1-1111111-1-11111-1-1-1111-1-1-11111-1-1-1-1-11-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111111-11-1iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111-1-111ii−i−i11-1-1−i−iiiii−i−i−i−iii
χ26111111-1-1111111-1-11111-1-1-1111-1-1-11111-1-1-1-1-11-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111111-11-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1−i−iii-1-111ii−i−i−i−iiiii−i−i
χ27111111-1-1111111-1-11111-1-1-1111-1-1-11111-1-1-1-1-11-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111111-11-1−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-111−i−iii11-1-1ii−i−i−i−iiiii−i−i
χ28111111-1-1111111-1-11111-1-1-1111-1-1-11111-1-1-1-1-11-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111111-11-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1ii−i−i-1-111−i−iiiii−i−i−i−iii
χ29111111-1-1111111-1-11111-1-1-1111-1-1-11111-1-1-1-1-11-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1111111-1-1-1-1-11-11iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111ii−i−i-1-111−i−iii−i−iiiii−i−i
χ30111111-1-1111111-1-11111-1-1-1111-1-1-11111-1-1-1-1-11-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1111111-1-1-1-1-11-11iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1−i−iii11-1-1ii−i−iii−i−i−i−iii
χ31111111-1-1111111-1-11111-1-1-1111-1-1-11111-1-1-1-1-11-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1111111-1-1-1-1-11-11−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111−i−iii-1-111ii−i−iii−i−i−i−iii
χ32111111-1-1111111-1-11111-1-1-1111-1-1-11111-1-1-1-1-11-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1111111-1-1-1-1-11-11−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1ii−i−i11-1-1−i−iii−i−iiiii−i−i
χ3322222222222222-2-2-2-2-2-22-2-22-2-22-2-222-2-222-2-22-22-2200000000222200000000-2-2-2-20000000022-2-222-2-222-2-2000000000000000022-2-222-2-2000000000000000000000000000000000000
χ3422222222222222-2-2-2-2-2-22-2-22-2-22-2-222-2-222-2-22-22-2200000000222200000000-2-2-2-20000000022-2-2-2-222-2-2220000000000000000-2-222-2-222000000000000000000000000000000000000
χ3522222222222222-2-2-2-2-2-22-2-22-2-22-2-222-2-222-2-22-22-2200000000-2-2-2-200000000222200000000-2-22222-2-222-2-20000000000000000-2-222-2-222000000000000000000000000000000000000
χ3622222222222222-2-2-2-2-2-22-2-22-2-22-2-222-2-222-2-22-22-2200000000-2-2-2-200000000222200000000-2-222-2-222-2-222000000000000000022-2-222-2-2000000000000000000000000000000000000
χ372222222222-2-2-2-22222-2-22-2-22-2-22-2-2-2-222-2-22222-22-2222222220000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000002-22-2000000002-22-2000000000000
χ382222222222-2-2-2-22222-2-22-2-22-2-22-2-2-2-222-2-22222-22-2222222220000-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000-22-2200000000-22-22000000000000
χ392222222222-2-2-2-22222-2-22-2-22-2-22-2-2-2-222-2-22222-22-2-2-2-2-2-2-2-2-2000022222222000000000000000000000000000000000000000000000000000000002-22-200000000-22-22000000000000
χ402222222222-2-2-2-22222-2-22-2-22-2-22-2-2-2-222-2-22222-22-2-2-2-2-2-2-2-2-200002222222200000000000000000000000000000000000000000000000000000000-22-22000000002-22-2000000000000
χ4122222222-2-222222222-2-22-2-2-222-222-2-2-2-22-22-2-22-2-2222-2-222-2-2222222-2-222-2-2-2-2-2-222-2-222-2-2-2-22200000000000000000000000000000000000000000000000000000000000000000000
χ4222222222-2-222222222-2-22-2-2-222-222-2-2-2-22-22-2-22-2-2222-2-222-2-2-2-2-2-222-2-222-2-22222-2-222-2-22222-2-200000000000000000000000000000000000000000000000000000000000000000000
χ4322222222-2-222222222-2-22-2-2-222-222-2-2-2-22-22-2-22-2-22-2-222-2-2222222-2-222-2-222-2-2-2-2-2-222-2-222-2-22200000000000000000000000000000000000000000000000000000000000000000000
χ4422222222-2-222222222-2-22-2-2-222-222-2-2-2-22-22-2-22-2-22-2-222-2-222-2-2-2-2-2-222-2-222222222-2-222-2-222-2-200000000000000000000000000000000000000000000000000000000000000000000
χ4522222222-2-22222-2-2-2-222222-2-2-2-2-2-2-2-2222-2-22-2-2-22200000000222200000000222200000000-2-2-2-20000000022-2-222-2-2000000000000000022-2-222-2-20000000000000000000000000000
χ4622222222-2-22222-2-2-2-222222-2-2-2-2-2-2-2-2222-2-22-2-2-22200000000222200000000222200000000-2-2-2-200000000-2-222-2-2220000000000000000-2-222-2-2220000000000000000000000000000
χ4722222222-2-22222-2-2-2-222222-2-2-2-2-2-2-2-2222-2-22-2-2-22200000000-2-2-2-200000000-2-2-2-20000000022220000000022-2-222-2-20000000000000000-2-222-2-2220000000000000000000000000000
χ4822222222-2-22222-2-2-2-222222-2-2-2-2-2-2-2-2222-2-22-2-2-22200000000-2-2-2-200000000-2-2-2-200000000222200000000-2-222-2-222000000000000000022-2-222-2-20000000000000000000000000000
χ4922222222-2-2-2-2-2-2222222222-2-2-2-2-2-222-2-2-222-2-222-2-222-2-222-2-20000-2-222-2-2220000000000000000000000000000000022-2-222-2-2000000000000000000002-22-200000000000000000000
χ5022222222-2-2-2-2-2-2222222222-2-2-2-2-2-222-2-2-222-2-222-2-222-2-222-2-20000-2-222-2-22200000000000000000000000000000000-2-222-2-22200000000000000000000-22-2200000000000000000000
χ5122222222-2-2-2-2-2-2222222222-2-2-2-2-2-222-2-2-222-2-222-2-2-2-222-2-222000022-2-222-2-20000000000000000000000000000000022-2-222-2-200000000000000000000-22-2200000000000000000000
χ5222222222-2-2-2-2-2-2222222222-2-2-2-2-2-222-2-2-222-2-222-2-2-2-222-2-222000022-2-222-2-200000000000000000000000000000000-2-222-2-222000000000000000000002-22-200000000000000000000
χ53222222-2-222222222-2-2-2-2-2222-2-2-22222-2-2-2-222-2-2-22-20000000022-2-200000000-2-222000000002-2-222i2i−2i−2i−2i−2i2i2i00000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ54222222-2-222222222-2-2-2-2-2222-2-2-22222-2-2-2-222-2-2-22-20000000022-2-200000000-2-222000000002-2-22−2i−2i2i2i2i2i−2i−2i0000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000
χ55222222-2-222222222-2-2-2-2-2222-2-2-22222-2-2-2-222-2-2-22-200000000-2-2220000000022-2-200000000-222-22i2i−2i−2i−2i−2i2i2i0000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000
χ56222222-2-222222222-2-2-2-2-2222-2-2-22222-2-2-2-222-2-2-22-200000000-2-2220000000022-2-200000000-222-2−2i−2i2i2i2i2i−2i−2i00000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ57222222-2-222-2-2-2-2-2-222-2-2-2222-2-2-222-2-22222-2-2-222-222222-2-2-2-20000-2-2-2-22222000000000000000000000000000000000000000000000000000000002-2-22000000002-2-22000000000000
χ58222222-2-222-2-2-2-2-2-222-2-2-2222-2-2-222-2-22222-2-2-222-222222-2-2-2-20000-2-2-2-2222200000000000000000000000000000000000000000000000000000000-222-200000000-222-2000000000000
χ59222222-2-222-2-2-2-2-2-222-2-2-2222-2-2-222-2-22222-2-2-222-22-2-2-2-2222200002222-2-2-2-2000000000000000000000000000000000000000000000000000000002-2-2200000000-222-2000000000000
χ60222222-2-222-2-2-2-2-2-222-2-2-2222-2-2-222-2-22222-2-2-222-22-2-2-2-2222200002222-2-2-2-200000000000000000000000000000000000000000000000000000000-222-2000000002-2-22000000000000
χ61222222-2-2-2-2222222-2-222-2-2-2-2-2-2222-2-222-222-22-22-2-20000000022-2-20000000022-2-200000000-22-22000000002i2i−2i−2i−2i−2i2i2i00000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000
χ62222222-2-2-2-2222222-2-222-2-2-2-2-2-2222-2-222-222-22-22-2-20000000022-2-20000000022-2-200000000-22-2200000000−2i−2i2i2i2i2i−2i−2i0000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ63222222-2-2-2-2222222-2-222-2-2-2-2-2-2222-2-222-222-22-22-2-200000000-2-22200000000-2-222000000002-22-2000000002i2i−2i−2i−2i−2i2i2i0000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ64222222-2-2-2-2222222-2-222-2-2-2-2-2-2222-2-222-222-22-22-2-200000000-2-22200000000-2-222000000002-22-200000000−2i−2i2i2i2i2i−2i−2i00000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000
χ65222222-2-2-2-22222-2-222-2-2-222-2222-2-2-2-2-2-2-22-222222-222-2-2-2-22222-2-222-2-2-2-222-2-22222-2-2-2-222-222-200000000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).