Finite Group Databasebeta

← Group #72343118

Character table — Group #72343118

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172
size11222224444444444444444444448888888888888888888888888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232323232323232323232323264646464646464646464646464646464128128128128128128
order122448822222224444444888161616162222444444444444444444448888888888881616161616161616888888888888816161616161616161616161616161616161616161616161616161688888888888888888888888888888832323232323232322488323232323232323232323232444888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-1-1-11-1-1-1-11-1-1-1111-1-1-111111-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-1-1-11-1-1-111-1-1-1ii−i−i111111-1-1-1-1-1-1111111111-1-1-1-1-1-1iiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-1iiiiii−i−i−i−i−i−i11-11-1-1
χ61111111111111111111-1-1-1-11-1-1-1-11-1-1-1111-1-1-111111-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-1-1-11-1-1-111-1-1-1ii−i−i111111-1-1-1-1-1-1111111111-1-1-1-1-1-1iiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-111−i−i−i−i−i−iiiiiii-1-11-111
χ71111111111111111111-1-1-1-11-1-1-1-11-1-1-1111-1-1-111111-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-1-1-11-1-1-111-1-1-1−i−iii111111-1-1-1-1-1-1111111111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiii−i−i−i−i-1-111iiiiii−i−i−i−i−i−i-1-11-111
χ81111111111111111111-1-1-1-11-1-1-1-11-1-1-1111-1-1-111111-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-1-1-11-1-1-111-1-1-1−i−iii111111-1-1-1-1-1-1111111111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiii−i−i−i−iiiii11-1-1−i−i−i−i−i−iiiiiii11-11-1-1
χ9111111111-1-1111-1-1111111111111-11-1-11-1-11-1-111-1-1-111111-1-1-1-111111-1-1-1-111111111111-11-1-11-11-1-1111111-1-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-11-1-1-11-1
χ10111111111-1-1111-1-1111111111111-11-1-11-1-11-1-111-1-1-111111-1-1-1-111111-1-1-1-111111111111-11-1-11-11-1-1111111-1-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1111-11
χ11111111111-1-1111-1-1111111111111-11-1-11-1-11-1-111-1-1-111111-1-1-1-111111-1-1-1-111111111111-11-1-11-11-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1111-11
χ12111111111-1-1111-1-1111111111111-11-1-11-1-11-1-111-1-1-111111-1-1-1-111111-1-1-1-111111111111-11-1-11-11-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-111111-1-1-11-1
χ13111111111-1-1111-1-1111-1-1-1-11-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-111ii−i−i11-1-1-1-1-1-1111111111-1-1-1-1-1-11111iiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i11-1-1ii−i−i−i−i−i−iiiii1-11-1-11
χ14111111111-1-1111-1-1111-1-1-1-11-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-111ii−i−i11-1-1-1-1-1-1111111111-1-1-1-1-1-11111iiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii-1-111−i−iiiiiii−i−i−i−i-11-111-1
χ15111111111-1-1111-1-1111-1-1-1-11-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-111−i−iii11-1-1-1-1-1-1111111111-1-1-1-1-1-11111−i−i−i−i−i−i−iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i-1-111ii−i−i−i−i−i−iiiii-11-111-1
χ16111111111-1-1111-1-1111-1-1-1-11-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-111−i−iii11-1-1-1-1-1-1111111111-1-1-1-1-1-11111−i−i−i−i−i−i−iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii11-1-1−i−iiiiiii−i−i−i−i1-11-1-11
χ171111111-1-111111-1-1111111111111-1-11-1-11-1-11-1-1-111-1111-1-111-1-1111-1-111-1-111111111111-1-11-1-11-11-11111-1-111-1-1-1-111-1-1111-1-111-1-1-1-111-1-1111-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-11-1-1-11
χ181111111-1-111111-1-1111111111111-1-11-1-11-1-11-1-1-111-1111-1-111-1-1111-1-111-1-111111111111-1-11-1-11-11-11111-1-111-1-1-1-111-1-1111-1-111-1-1-1-111-1-1111-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111-1111-1
χ191111111-1-111111-1-1111111111111-1-11-1-11-1-11-1-1-111-1111-1-111-1-1111-1-111-1-111111111111-1-11-1-11-11-1-1-1-1-1-1-111-1-1-1-111-1-1111-1-111-1-1-1-111-1-1-1-1-11111-1-1-1-11111-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-111-1-11-1111-1
χ201111111-1-111111-1-1111111111111-1-11-1-11-1-11-1-1-111-1111-1-111-1-1111-1-111-1-111111111111-1-11-1-11-11-1-1-1-1-1-1-111-1-1-1-111-1-1111-1-111-1-1-1-111-1-1-1-1-11111-1-1-1-11111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-111-11-1-1-11
χ211111111-1-111111-1-1111-1-1-1-11-1-1-1-1-11-11-11-11-11-1-111-1-1-1-111-1-111111-1-111-1-1-1-1-111-1-1-1-1-1-1-11-11-111-11ii−i−i-1-111-1-111-1-111111-1-111-1-111-1-111iii−i−i−i−iiiii−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1−i−iii−i−iii−i−iii-111-11-1
χ221111111-1-111111-1-1111-1-1-1-11-1-1-1-1-11-11-11-11-11-1-111-1-1-1-111-1-111111-1-111-1-1-1-1-111-1-1-1-1-1-1-11-11-111-11ii−i−i-1-111-1-111-1-111111-1-111-1-111-1-111iii−i−i−i−iiiii−i−i−i−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−iii−i−iii−i−i1-1-11-11
χ231111111-1-111111-1-1111-1-1-1-11-1-1-1-1-11-11-11-11-11-1-111-1-1-1-111-1-111111-1-111-1-1-1-1-111-1-1-1-1-1-1-11-11-111-11−i−iii-1-111-1-111-1-111111-1-111-1-111-1-111−i−i−iiiii−i−i−i−iiiiiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii−i−iii−i−iii1-1-11-11
χ241111111-1-111111-1-1111-1-1-1-11-1-1-1-1-11-11-11-11-11-1-111-1-1-1-111-1-111111-1-111-1-1-1-1-111-1-1-1-1-1-1-11-11-111-11−i−iii-1-111-1-111-1-111111-1-111-1-111-1-111−i−i−iiiii−i−i−i−iiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1ii−i−iii−i−iii−i−i-111-11-1
χ251111111-1-1-1-1111111111111111111-1-11-1-11-1-11-1-1-1-11111-1-1-1-111111-1-1-1-111111111111111-1-11-1-1-1-111111-1-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-111-1-1
χ261111111-1-1-1-1111111111111111111-1-11-1-11-1-11-1-1-1-11111-1-1-1-111111-1-1-1-111111111111111-1-11-1-1-1-111111-1-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111
χ271111111-1-1-1-1111111111111111111-1-11-1-11-1-11-1-1-1-11111-1-1-1-111111-1-1-1-111111111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-111-1-1-111111111-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ281111111-1-1-1-1111111111111111111-1-11-1-11-1-11-1-1-1-11111-1-1-1-111111-1-1-1-111111111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-111-1-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1
χ291111111-1-1-1-111111111-1-1-1-11-1-1-1-1111-1-1-1111-1-1-1-1-11-1-1-11111-1-1111-1-1-1-111-1-1-111-1-1-1-1-1-1111-1-1-111-1ii−i−i-1-1-1-1111111-1-1111-1-1-1-1111111-1-1iii−i−i−i−i−i−i−i−iiiii−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i11-1-1−i−i−i−iiiiiii−i−i-1-1-1111
χ301111111-1-1-1-111111111-1-1-1-11-1-1-1-1111-1-1-1111-1-1-1-1-11-1-1-11111-1-1111-1-1-1-111-1-1-111-1-1-1-1-1-1111-1-1-111-1ii−i−i-1-1-1-1111111-1-1111-1-1-1-1111111-1-1iii−i−i−i−i−i−i−i−iiiii−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-111iiii−i−i−i−i−i−iii111-1-1-1
χ311111111-1-1-1-111111111-1-1-1-11-1-1-1-1111-1-1-1111-1-1-1-1-11-1-1-11111-1-1111-1-1-1-111-1-1-111-1-1-1-1-1-1111-1-1-111-1−i−iii-1-1-1-1111111-1-1111-1-1-1-1111111-1-1−i−i−iiiiiiiii−i−i−i−iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111−i−i−i−iiiiiii−i−i111-1-1-1
χ321111111-1-1-1-111111111-1-1-1-11-1-1-1-1111-1-1-1111-1-1-1-1-11-1-1-11111-1-1111-1-1-1-111-1-1-111-1-1-1-1-1-1111-1-1-111-1−i−iii-1-1-1-1111111-1-1111-1-1-1-1111111-1-1−i−i−iiiiiiiii−i−i−i−iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-1iiii−i−i−i−i−i−iii-1-1-1111
χ33222222200002-2-2222-2-2222222222-200200-2002000022-2-20000-2-22-2-20000222-2-22222-2-2-2-2-20020000-222220000220000-2-22-2-20000-2-20000222-2-20000000022-2-22-2-20000000022-2-2000000000000000000000000000000
χ34222222200002-2-2222-2-2222222222-200200-2002000022-2-20000-2-22-2-20000222-2-22222-2-2-2-2-20020000-2-2-2-2-20000220000-2-22-2-20000-2-2000022-22200000000-2-222-22200000000-2-222000000000000000000000000000000
χ35222222200002-2-2222-2-222222-2-2-2-2-200200-2002000022-2-20000-2-22-2-20000222-2-2-2-2-2-22222-20020000-200000000-2-2000022-2220000220000-2-200022-2-222-2-2000000022-2-222-2-20000000000000000000000000000000000
χ36222222200002-2-2222-2-222222-2-2-2-2-200200-2002000022-2-20000-2-22-2-20000222-2-2-2-2-2-22222-20020000-200000000-2-2000022-2220000220000-2-2000-2-222-2-2220000000-2-222-2-2220000000000000000000000000000000000
χ37222222200002-2-2222-2-2-2-2-2-222222-200-200-200-200002-2220000222-2-2000022-222-2-222-2-2-2-2-200-20000200000000-2-20000-2-2-2220000220000220002i2i−2i−2i2i2i−2i−2i0000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000
χ38222222200002-2-2222-2-2-2-2-2-222222-200-200-200-200002-2220000222-2-2000022-222-2-222-2-2-2-2-200-20000200000000-2-20000-2-2-222000022000022000−2i−2i2i2i−2i−2i2i2i00000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ39222222200002-2-2222-2-2-2-2-2-22-2-2-2-2-200-200-200-200002-2220000222-2-2000022-22222-2-22222-200-2000022i2i−2i−2i0000220000222-2-20000-2-20000-2-22i−2i−2i000000002i2i−2i−2i−2i2i2i00000000−2i−2i2i2i000000000000000000000000000000
χ40222222200002-2-2222-2-2-2-2-2-22-2-2-2-2-200-200-200-200002-2220000222-2-2000022-22222-2-22222-200-200002−2i−2i2i2i0000220000222-2-20000-2-20000-2-2−2i2i2i00000000−2i−2i2i2i2i−2i−2i000000002i2i−2i−2i000000000000000000000000000000
χ41222222200002-2-2-2-22-2-2222222222200-200200-20000-22-2-20000222-2-20000-2-22-2-22222-2-2-2-2200-20000222220000-2-20000222-2-20000220000-2-22-2-200000000-2-2222-2-200000000-2-222000000000000000000000000000000
χ42222222200002-2-2-2-22-2-2222222222200-200200-20000-22-2-20000222-2-20000-2-22-2-22222-2-2-2-2200-200002-2-2-2-20000-2-20000222-2-20000220000-2-2-2220000000022-2-2-2220000000022-2-2000000000000000000000000000000
χ43222222200002-2-2-2-22-2-222222-2-2-2-2200-200200-20000-22-2-20000222-2-20000-2-22-2-2-2-2-2-22222200-20000200000000220000-2-2-2220000-2-200002200022-2-2-2-222000000022-2-2-2-2220000000000000000000000000000000000
χ44222222200002-2-2-2-22-2-222222-2-2-2-2200-200200-20000-22-2-20000222-2-20000-2-22-2-2-2-2-2-22222200-20000200000000220000-2-2-2220000-2-2000022000-2-22222-2-20000000-2-22222-2-20000000000000000000000000000000000
χ45222222200002-2-2-2-22-2-2-2-2-2-22222220020020020000-2-2220000-2-22-2-20000-2-2-222-2-222-2-2-2-220020000-20000000022000022-2220000-2-20000-2-20002i2i−2i−2i−2i−2i2i2i0000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000
χ46222222200002-2-2-2-22-2-2-2-2-2-22222220020020020000-2-2220000-2-22-2-20000-2-2-222-2-222-2-2-2-220020000-20000000022000022-2220000-2-20000-2-2000−2i−2i2i2i2i2i−2i−2i00000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000
χ47222222200002-2-2-2-22-2-2-2-2-2-22-2-2-2-220020020020000-2-2220000-2-22-2-20000-2-2-22222-2-2222220020000-22i2i−2i−2i0000-2-20000-2-22-2-20000220000222i−2i−2i00000000−2i−2i2i2i−2i2i2i000000002i2i−2i−2i000000000000000000000000000000
χ48222222200002-2-2-2-22-2-2-2-2-2-22-2-2-2-220020020020000-2-2220000-2-22-2-20000-2-2-22222-2-2222220020000-2−2i−2i2i2i0000-2-20000-2-22-2-2000022000022−2i2i2i000000002i2i−2i−2i2i−2i−2i00000000−2i−2i2i2i000000000000000000000000000000
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Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.