Finite Group Databasebeta

← Group #72317088

Character table — Group #72317088

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154
size11112222224444444444448888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232323264646464646464646464646464646464128128128128128128128128
order1222222222222222222222222222222222222222222222222222222222222222444444444444444444444444444444444444244444444444444444444444444444444444444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11-11-11-11-1111-1-1-1111-1-1-1111-11-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ101111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11-11-11-11-1111-1-1-1111-1-1-1111-11-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-11-11-11-11-1-1-1111-1-1-111111-11-1111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ121111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-11-11-11-11-1-1-1111-1-1-111111-11-11-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ131111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111111111-1-1111-1-111-1-11111-1-1-1-1-1-1111-1-11-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ141111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111111111-1-1111-1-111-1-11111-1-1-1-1-1-1111-1-11-1-11-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ151111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111111111-1-111-111-1-111-1-1-1-1111111-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ161111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111111111-1-111-111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ17111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-1-11-1-11-1-1-1-11111ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ18111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-1-11-1-11-1-1-1-11111−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ19111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-111-111-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ20111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-111-111-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ21111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1111-1-11-1-1-111-1111111-1-1ii−i−i−i−iiiii−i−i−i−iiii−ii−i−ii−ii
χ22111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1111-1-11-1-1-111-1111111-1-1−i−iiiii−i−i−i−iiiii−i−i−ii−iii−ii−i
χ23111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-111-1111-1-11-1-111-1-111ii−i−i−i−iiiii−i−i−i−iii−ii−iii−ii−i
χ24111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-111-1111-1-11-1-111-1-111−i−iiiii−i−i−i−iiiii−i−ii−ii−i−ii−ii
χ25111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-11111-1-1111111-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1111-11-1-11-111-1-1-1111-1-1-111-1-11-11-1ii−i−iii−i−i−i−iii−i−iiii−i−iii−i−ii
χ26111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-11111-1-1111111-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1111-11-1-11-111-1-1-1111-1-1-111-1-11-11-1−i−iii−i−iiiii−i−iii−i−i−iii−i−iii−i
χ27111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-111-1-11111-1-1111111-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-111-11-111-11-1-1111-1-1-1111-1-1-1-1-11-11ii−i−iii−i−i−i−iii−i−iii−iii−i−iii−i
χ28111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-111-1-11111-1-1111111-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-111-11-111-11-1-1111-1-1-1111-1-1-1-1-11-11−i−iii−i−iiiii−i−iii−i−ii−i−iii−i−ii
χ29111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-11-1-11-111-11-1-1-111-1111-1-1111-1-11ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ30111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-11-1-11-111-11-1-1-111-1111-1-1111-1-11−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii
χ31111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-111-11-1-11-1111-1-11-1-1-11111-111-1ii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ32111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-111-11-1-11-1111-1-11-1-1-11111-111-1−i−iiiii−i−iii−i−i−i−iiii−i−ii−iii−i
χ33222222222222222222222222222222222222-2-2-2-2222222222222-2-200000000-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-20000000022222222-2-222-2-200000000000000000000-2-20000000000000000000000000000
χ34222222222222222222222222222222222222-2-2-2-22222-2-2-2-222222200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-222222200000000-2-2-2-2-2-2-2-2-2-2-2-22200000000000000000000220000000000000000000000000000
χ352222222222222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-22200000000-2-2-2-2-2-22222222222-2-2-2-200000000-2-2-2-2-2-2-2-2-2-2222200000000000000000000-2-20000000000000000000000000000
χ362222222222222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222-2-2-2-200000000-2-2-2-2-2-2222222-2-2-2-222220000000022222222-2-2-2-2-2-200000000000000000000220000000000000000000000000000
χ37222222222222222222-2-2-2-222-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-20000000022-2-2-2-2-2-2222222-2-2-2-2-2-2000000002222-2-2-2-222-2-22200000000000000000000220000000000000000000000000000
χ38222222222222222222-2-2-2-222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2220000000022-2-2-2-2-2-22222-2-222222200000000-2-2-2-222222222-2-200000000000000000000-2-20000000000000000000000000000
χ39222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-222220000000022-2-2-2-222-2-2-2-22222-2-2-2-200000000-2-2-2-2222222-2-2-2-200000000000000000000220000000000000000000000000000
χ40222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-222-2-20000000022-2-2-2-222-2-2-2-2-2-2-2-22222000000002222-2-2-2-222222200000000000000000000-2-20000000000000000000000000000
χ4122222222222222-2-2-2-222-2-2-2-222-2-22222-2-2-2-22222222200002-2-2-200000022222222-2-2-2-222-2-2000000000000222200000000-2-20000002200-2-2000000-22-2-22-20000-2-2000000000000000000000000
χ4222222222222222-2-2-2-222-2-2-2-222-2-22222-2-2-2-22222222200002-2-2-2000000-2-2-2-22222-2-2-2-222-2-2000000000000-2-2-2-200000000-2-2000000-2-200220000002-222-22000022000000000000000000000000
χ4322222222222222-2-2-2-222-2-2-2-222-2-22222-2-2-2-2-2-2-2-2222200002-2-2-20022-2-20000-2-2-2-22222-2-22200000000-2-2220000000000002200002-2002-200-22-222-200000000-2200000000000000000000000000
χ4422222222222222-2-2-2-222-2-2-2-222-2-22222-2-2-2-2-2-2-2-2222200002-2-2-200-2-2220000-2-2-2-22222-2-2220000000022-2-2000000000000220000-2200-22002-22-2-22000000002-200000000000000000000000000
χ4522222222222222-2-2-2-222-2-2-2-222-2-2-2-2-2-222222222-2-2-2-200002-2220022220000-2-2-2-222-2-222-2-200000000-2-2-2-200000000000022000022002200-22-2-2-2200000000-2-200000000000000000000000000
χ4622222222222222-2-2-2-222-2-2-2-222-2-2-2-2-2-222222222-2-2-2-200002-22200-2-2-2-20000-2-2-2-222-2-222-2-2000000002222000000000000220000-2-200-2-2002-2222-2000000002200000000000000000000000000
χ4722222222222222-2-2-2-222-2-2-2-222-2-2-2-2-2-22222-2-2-2-2-2-2-2-200002-22200000022-2-22222-2-222-2-22200000000000022-2-200000000-2-20000002-200-22000000-22-22-220000-22000000000000000000000000
χ4822222222222222-2-2-2-222-2-2-2-222-2-2-2-2-2-22222-2-2-2-2-2-2-2-200002-222000000-2-2222222-2-222-2-222000000000000-2-22200000000-2-2000000-22002-20000002-22-22-200002-2000000000000000000000000
χ4922222222222222-2-2-2-2-2-222-2-2-2-2222222-2-2-2-22222-2-2-2-20000-22220000002222-2-222-2-2-2-2-2-222000000000000-2-2-2-20000000022000000220022000000-2-22-2-220000-2-2000000000000000000000000
χ5022222222222222-2-2-2-2-2-222-2-2-2-2222222-2-2-2-22222-2-2-2-20000-2222000000-2-2-2-2-2-222-2-2-2-2-2-22200000000000022220000000022000000-2-200-2-200000022-222-2000022000000000000000000000000
χ5122222222222222-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-20000-22220022-2-2000022-2-2222222-2-20000000022-2-2000000000000-2-200002-200-2200-2-222-2200000000-2200000000000000000000000000
χ5222222222222222-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-20000-222200-2-222000022-2-2222222-2-200000000-2-222000000000000-2-20000-22002-20022-2-22-2000000002-200000000000000000000000000
χ5322222222222222-2-2-2-2-2-222-2-2-2-222-2-2-2-22222222222220000-22-2-2002222000022-2-222-2-2-2-222000000002222000000000000-2-200002200-2-200-2-22-22-200000000-2-200000000000000000000000000
χ5422222222222222-2-2-2-2-2-222-2-2-2-222-2-2-2-22222222222220000-22-2-200-2-2-2-2000022-2-222-2-2-2-22200000000-2-2-2-2000000000000-2-20000-2-200220022-22-22000000002200000000000000000000000000
χ5522222222222222-2-2-2-2-2-222-2-2-2-222-2-2-2-22222-2-2-2-222220000-22-2-200000022-2-2-2-222-2-22222-2-2000000000000-2-22200000000220000002-2002-2000000-2-2222-20000-22000000000000000000000000
χ5622222222222222-2-2-2-2-2-222-2-2-2-222-2-2-2-22222-2-2-2-222220000-22-2-2000000-2-222-2-222-2-22222-2-200000000000022-2-20000000022000000-2200-2200000022-2-2-2200002-2000000000000000000000000
χ572222222222-2-2-2-222-2-222222-22-22-200000000000000002222-2-20000002200222-22-22-2000000-2-20022-2-200220022000000002-22-2000-20-20-20-2000-2-22000-2-222-20202000000000000000000000000
χ582222222222-2-2-2-222-2-222222-22-22-200000000000000002222-2-2000000-2-200-2-22-22-22-2000000-2-20022-2-200-2-200-2-2000000002-22-2000202020200022-200022-22-20-20-2000000000000000000000000
χ592222222222-2-2-2-222-2-222222-22-22-200000000000000002222-2-2000022002200-22-22-22000000-2-200-2-2222200220000000000-222-200-20-20-20-20-22-2000-2-22000-222020000000000000000000000000
χ602222222222-2-2-2-222-2-222222-22-22-200000000000000002222-2-20000-2-200-2-200-22-22-22000000-2-200-2-222-2-200-2-20000000000-222-200202020202-2200022-2000-22-20-20000000000000000000000000
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Here i is the imaginary unit (i² = −1).