Finite Group Databasebeta

← Group #72339496

Character table — Group #72339496

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124
size1111222222222222222222222222224444444444444444444444444444444444444444444444444488888888161616161616161616161616161616161616161616161616161616163232323232323232
order1222222222222244444444888888882222222222444444444444888888888888888888888888888822444444222244444444444444448888888844444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-11111-1-11111-1-1-1-1
χ91111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-111-1-111-1-1-1-11-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ101111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11-1-111-1-11111-111111-1-1-1-1-1-1-1-1-1-111-1-111
χ111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-111-1-1-11-1-1-1-11111111111-1-1-1-111
χ121111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1111-1-1-1-1-111111111-1-11111-1-1
χ131111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-111-1-111-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ141111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-11-1-111-1-11111-11-1-1-1-1-1-11111-1-111-1-111-1-1
χ151111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1111-1-1-1-111-1-1-11111111-1-1-1-111-1-11111-1-1
χ161111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1111-1111111-1-1-1-11111-1-1-1-111
χ171111-1-1-1-1111111-1-1-1-1111111111111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-11-11-11-11-11-11-11-11-1-1111-1-11-111-1-11-11-11-11-11-1
χ181111-1-1-1-1111111-1-1-1-1111111111111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-11-1-11-11-11-11-11-11-111-111-1-11-111-1-11-1-11-11-11-11
χ191111-1-1-1-1111111-1-1-1-1111111111111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-111-1-111-11-1-11-111-11-1-1-111-11-1-111-111-11-1-11-11
χ201111-1-1-1-1111111-1-1-1-1111111111111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-11-111-1-11-111-11-1-11-11-1-111-11-1-111-11-11-111-11-1
χ211111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-11-11-11-11-11-11-11-11-1-11-1-1111-1-1-1111-1-11-11-11-11
χ221111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-11-1-11-11-11-11-11-11-111-1-1-1111-1-1-1111-11-11-11-11-1
χ231111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-111-111-1-111-11-1-11-111-11-111-1-1-1111-1-1-11-11-111-11-1
χ241111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-111-11-111-1-11-111-11-1-11-1111-1-1-1111-1-1-111-11-1-11-11
χ251111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-111-1-11-11-1111-1-111-1-11-11-1-111-1-1-11-1-111-111-1-111-1-11
χ261111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-111-1-11-1-11-1-1-111-1-111-11-11111-1-1-11-1-111-11-111-1-111-1
χ271111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-1-111-111-1-1-11-1-11-111-1-1111-1-1111-111-1-11-11-1-11-111-1
χ281111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-1-111-11-1111-111-11-1-111-1-1-1-1-1111-111-1-11-1-111-11-1-11
χ291111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-111-1-11-11-1111-1-111-1-11-11-1-1-1-111-1111-1-1-11-111-1-111-1
χ301111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-111-1-11-1-11-1-1-111-1-111-11-111-1-111-1111-1-1-111-1-111-1-11
χ311111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-1-111-111-1-1-11-1-11-111-1-111111-1-11-1-1-1111-1-111-11-1-11
χ321111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-1-111-11-1111-111-11-1-111-1-1-111-1-11-1-1-1111-11-1-11-111-1
χ3322222222222222-2-2-2-2-2-2-2-2000000002222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000002-22-22-2-2200000000000000002-22-20000000000000000
χ3422222222222222-2-2-2-2-2-2-2-2000000002222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000-22-22-222-20000000000000000-22-220000000000000000
χ3522222222222222-2-2-2-2-2-2-2-20000000022-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000002-22-22-2-220000000000000000-22-220000000000000000
χ3622222222222222-2-2-2-2-2-2-2-20000000022-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000-22-22-222-200000000000000002-22-20000000000000000
χ3722222222-2-222-2-222-2-22-2-222222-2-2-2-2-2-2000000002-22-20000000022-2-22222-2-2-2-20000000000000000000000002200-2-2220000-2-20000000000000000000000
χ3822222222-2-222-2-222-2-22-2-222222-2-2-2-2-2-2000000002-22-20000000022-2-22222-2-2-2-2000000000000000000000000-2-20022-2-20000220000000000000000000000
χ3922222222-2-222-2-222-2-22-2-22-2-2-2-22222-2-2000000002-22-200000000-2-222-2-2-2-222220000000000000000000000002200-2-2-2-20000220000000000000000000000
χ4022222222-2-222-2-222-2-22-2-22-2-2-2-22222-2-2000000002-22-200000000-2-222-2-2-2-22222000000000000000000000000-2-20022220000-2-20000000000000000000000
χ41222222-2-222-2-2-2-222-2-22222222222222-200000000-2-2-2200000000-2-2-2-222-2-222-2-2000000000000000022-2-2-2-22200000000000000000000-2-200002200000000
χ42222222-2-222-2-2-2-222-2-22222222222222-200000000-2-2-2200000000-2-2-2-222-2-222-2-20000000000000000-2-22222-2-200000000000000000000220000-2-200000000
χ43222222-2-222-2-2-2-222-2-22222-2-2-2-2-2-2-2-22-200000000-2-2-22000000002222-2-222-2-222000000000000000022-2-2-2-22200000000000000000000220000-2-200000000
χ44222222-2-222-2-2-2-222-2-22222-2-2-2-2-2-2-2-22-200000000-2-2-22000000002222-2-222-2-2220000000000000000-2-22222-2-200000000000000000000-2-200002200000000
χ45222222-2-222-2-2-2-2-2-222-2-2-2-2000000002-200000000222-2000000000000000000002i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2-2-22-22-2200000000000000000000002i−2i2i−2i0000000000
χ46222222-2-222-2-2-2-2-2-222-2-2-2-2000000002-200000000222-2000000000000000000002i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i-222-22-22-20000000000000000000000−2i2i−2i2i0000000000
χ47222222-2-222-2-2-2-2-2-222-2-2-2-2000000002-200000000222-200000000000000000000−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i2-2-22-22-220000000000000000000000−2i2i−2i2i0000000000
χ48222222-2-222-2-2-2-2-2-222-2-2-2-2000000002-200000000222-200000000000000000000−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i-222-22-22-200000000000000000000002i−2i2i−2i0000000000
χ49222222-2-2-2-2-2-22222222-2-222222-2-2-2-2-2200000000-22-2-200000000-2-22222-2-2-2-222000000000000000000000000002-20000-2-222002-200000000000000000000
χ50222222-2-2-2-2-2-22222222-2-222222-2-2-2-2-2200000000-22-2-200000000-2-22222-2-2-2-22200000000000000000000000000-22000022-2-200-2200000000000000000000
χ51222222-2-2-2-2-2-22222222-2-22-2-2-2-22222-2200000000-22-2-20000000022-2-2-2-22222-2-200000000000000000000000000220000-2-2-2-2002200000000000000000000
χ52222222-2-2-2-2-2-22222222-2-22-2-2-2-22222-2200000000-22-2-20000000022-2-2-2-22222-2-200000000000000000000000000-2-20000222200-2-200000000000000000000
χ532222-2-22222-2-2-2-222-2-2-2-2-2-200000000-220000000022-22000000000000000000002i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i22-222-2-2-200000000000000000000002i−2i−2i2i0000000000
χ542222-2-22222-2-2-2-222-2-2-2-2-2-200000000-220000000022-22000000000000000000002i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i-2-22-2-22220000000000000000000000−2i2i2i−2i0000000000
χ552222-2-22222-2-2-2-222-2-2-2-2-2-200000000-220000000022-2200000000000000000000−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i22-222-2-2-20000000000000000000000−2i2i2i−2i0000000000
χ562222-2-22222-2-2-2-222-2-2-2-2-2-200000000-220000000022-2200000000000000000000−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i-2-22-2-222200000000000000000000002i−2i−2i2i0000000000
χ572222-2-22222-2-2-2-2-2-222222222222222-2200000000-2-22-200000000-2-2-2-2-2-222-2-22200000000000000002-2-2-2222-200000000000000000000-2200002-200000000
χ582222-2-22222-2-2-2-2-2-222222222222222-2200000000-2-22-200000000-2-2-2-2-2-222-2-2220000000000000000-2222-2-2-22000000000000000000002-20000-2200000000
χ592222-2-22222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2200000000-2-22-200000000222222-2-222-2-200000000000000002-2-2-2222-2000000000000000000002-20000-2200000000
χ602222-2-22222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2200000000-2-22-200000000222222-2-222-2-20000000000000000-2222-2-2-2200000000000000000000-2200002-200000000
χ612222-2-222-2-2-2-222-2-2-2-22-2-222222-2-2-2-22-200000000-222200000000-2-222-2-22222-2-200000000000000000000000000220000-222-200-2-200000000000000000000
χ622222-2-222-2-2-2-222-2-2-2-22-2-222222-2-2-2-22-200000000-222200000000-2-222-2-22222-2-200000000000000000000000000-2-200002-2-22002200000000000000000000
χ632222-2-222-2-2-2-222-2-2-2-22-2-22-2-2-2-222222-200000000-22220000000022-2-222-2-2-2-222000000000000000000000000002-20000-22-2200-2200000000000000000000
χ642222-2-222-2-2-2-222-2-2-2-22-2-22-2-2-2-222222-200000000-22220000000022-2-222-2-2-2-22200000000000000000000000000-2200002-22-2002-200000000000000000000
χ652222-2-2-2-22222222222-2-2-2-200000000-2-22222-2-2-2-2-2-222-2-2-2-222220000000000000000000000000000222-2-22-2-200000000000000002-2-220000000000000000
χ662222-2-2-2-22222222222-2-2-2-200000000-2-22222-2-2-2-2-2-222-2-2-2-222220000000000000000000000000000-2-2-222-2220000000000000000-222-20000000000000000
χ672222-2-2-2-22222222222-2-2-2-200000000-2-2-2-2-2-22222-2-2222222-2-2-2-20000000000000000000000000000222-2-22-2-20000000000000000-222-20000000000000000
χ682222-2-2-2-22222222222-2-2-2-200000000-2-2-2-2-2-22222-2-2222222-2-2-2-20000000000000000000000000000-2-2-222-22200000000000000002-2-220000000000000000
χ692222-2-2-2-2-2-222-2-2-2-2222-2-222222-2-2-2-222000000002-2-220000000022-2-2-2-2-2-222220000000000000000000000002-200-222-20000-220000000000000000000000
χ702222-2-2-2-2-2-222-2-2-2-2222-2-222222-2-2-2-222000000002-2-220000000022-2-2-2-2-2-22222000000000000000000000000-22002-2-2200002-20000000000000000000000
χ712222-2-2-2-2-2-222-2-2-2-2222-2-22-2-2-2-2222222000000002-2-2200000000-2-2222222-2-2-2-20000000000000000000000002-200-22-2200002-20000000000000000000000
χ722222-2-2-2-2-2-222-2-2-2-2222-2-22-2-2-2-2222222000000002-2-2200000000-2-2222222-2-2-2-2000000000000000000000000-22002-22-20000-220000000000000000000000
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χ7744-4-400004-44-44-4000000002i22i2−2i2−2i22i22i2−2i2−2i20000000000000000004i4i−4i−4i2i2−2i22i2−2i200000000000000002222−22−222222−22−2200000000000000000000000000000000000000000000
χ7844-4-400004-44-44-4000000002i22i2−2i2−2i22i22i2−2i2−2i2000000000000000000−4i−4i4i4i2i2−2i22i2−2i20000000000000000−22−222222−22−22222200000000000000000000000000000000000000000000
χ7944-4-400004-44-44-400000000−2i2−2i22i22i2−2i2−2i22i22i20000000000000000004i4i−4i−4i−2i22i2−2i22i20000000000000000−22−222222−22−22222200000000000000000000000000000000000000000000
χ8044-4-400004-44-44-400000000−2i2−2i22i22i2−2i2−2i22i22i2000000000000000000−4i−4i4i4i−2i22i2−2i22i200000000000000002222−22−222222−22−2200000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.