Finite Group Databasebeta

← Group #72313185

Character table — Group #72313185

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size1111222222222222224444444444444444444444444444444488888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232
order12222222224444444422222222222222222222444444444444222222222222444422222222444444444444444444444444444444888888888888888888888888244444444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ51111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ71111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1111111-1-1-1-111111111
χ81111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-111-1-111111111-1-1-1-11111
χ91111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ101111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ121111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ131111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1-1-1-1-1-1-111111111
χ141111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-11111-1-1-1-11111
χ151111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-11-1-11111111111-1-1-1-1-1-1-1-1
χ161111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-11111-1-1-1-1
χ171111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111-1-11-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-11-111-1-111-1-11-11-111-1-1
χ181111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111-1-11-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-11-1111-1-1-1-111-11-1111-1-1
χ191111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-1-1111-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-11-11-1-111-1-111-11-11-1-111
χ201111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-1-1111-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11-11-1-1-11111-1-11-11-1-1-111
χ211111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-111-1-11-1-11111-1-1-11-11-1-111
χ221111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1-111-1-1-111-1-1111-11-1-1-111
χ231111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-111-11-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-1-111-111-1-1-1-1111-11-111-1-1
χ241111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-111-11-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-111-1-1111-1-111-1-1-11-1111-1-1
χ251111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-11111-1-11-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11-11-111-1-1-1-111-11-11-1-111
χ261111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-11111-1-11-111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-11-1111-1-111-1-11-11-1-1-111
χ271111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1111-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-11-11-1-11111-1-11-11-111-1-1
χ281111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1111-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11-11-1-1-111-1-111-11-1111-1-1
χ291111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-111-1-1-1111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-111-1-11-1-111-1-1111-11-111-1-1
χ301111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-111-1-1-1111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1-111-1-1-11111-1-1-11-1111-1-1
χ311111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-111-11-1-111-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1-111-111-1-111-1-1-11-11-1-111
χ321111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-111-11-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-111-1-1111-1-1-1-1111-11-1-1-111
χ3322222222222222222222-2-222-2-2-2-222222222-2-22-2-2-222-2-2-2-2-22-2-2-2-2-2-2-2-20000222200000000000000000000000000000000000000000000000000000000000000200200-2-200000000-2-2220000
χ3422222222222222222222-2-222-2-2-2-222222222-2-22-2-2-222-2-2-2-2-22-2-2-2-2-2-2-2-20000222200000000000000000000000000000000000000000000000000000000000000-200-200220000000022-2-20000
χ3522222222222222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-22-2-2-222-2-2-2-2-22222222220000-2-2-2-200000000000000000000000000000000000000000000000000000000000000200200-2-20000000022-2-20000
χ3622222222222222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-22-2-2-222-2-2-2-2-22222222220000-2-2-2-200000000000000000000000000000000000000000000000000000000000000-200-2002200000000-2-2220000
χ37222222222222222222-2-22-2-2-222-2-2222222222-2-22-2-2-2-222-2-22-222-2-222-2-22222-2-2-2-222220000220000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ38222222222222222222-2-22-2-2-222-2-2222222222-2-22-2-2-2-222-2-22-222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-20000222222220000000000000000000000000000000000000000000000000000000000000000
χ39222222222222222222-2-22-2-2-222-2-2-2-2-2-2-2-2-2-22-2-22-2-2-2-222-2-22-2-2-222-2-22222222222-2-2-2-20000220000-2-2-2-222220000000000000000000000000000000000000000000000000000000000000000
χ40222222222222222222-2-22-2-2-222-2-2-2-2-2-2-2-2-2-22-2-22-2-2-2-222-2-22-2-2-222-2-222-2-2-2-2222222220000-2-200002222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ41222222222222222222-2-2-22-2-2-2-22222222222-22-2-222-2-2-2-222-2-2-2-222-2-2220000-2-2-2-2000000000000000000000000000000000000000000000000000000000000000220-2-20000002-22-200000000
χ42222222222222222222-2-2-22-2-2-2-22222222222-22-2-222-2-2-2-222-2-2-2-222-2-2220000-2-2-2-2000000000000000000000000000000000000000000000000000000000000000-2-2022000000-22-2200000000
χ43222222222222222222-2-2-22-2-2-2-222-2-2-2-2-2-2-2-2-22-2-222-2-2-2-222-2-222-2-222-2-200002222000000000000000000000000000000000000000000000000000000000000000220-2-2000000-22-2200000000
χ44222222222222222222-2-2-22-2-2-2-222-2-2-2-2-2-2-2-2-22-2-222-2-2-2-222-2-222-2-222-2-200002222000000000000000000000000000000000000000000000000000000000000000-2-20220000002-22-200000000
χ452222222222-2-2-2-2-2-2-2-2222-22222-2-2000000002-2-2-222-2-2-2-222-2-2000000002222000000000000-2-200002-22-20000000000002i2i−2i−2i2i2i−2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ462222222222-2-2-2-2-2-2-2-2222-22222-2-2000000002-2-2-222-2-2-2-222-2-2000000002222000000000000-2-200002-22-2000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ472222222222-2-2-2-2-2-2-2-2222-22222-2-2000000002-2-2-222-2-2-2-222-2-200000000-2-2-2-2000000000000220000-22-220000000000002i2i−2i−2i2i2i−2i−2i0000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ482222222222-2-2-2-2-2-2-2-2222-22222-2-2000000002-2-2-222-2-2-2-222-2-200000000-2-2-2-2000000000000220000-22-22000000000000−2i−2i2i2i−2i−2i2i2i00000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ492222222222-2-2-2-2-2-2-2-2-2-222-2-2222200000000222-2-2-222-2-2-2-2-22000000002222000000000000-2-20000-22-22000022-2-222-2-2000000000000000022-2-222-2-200000000000000000000000000000000
χ502222222222-2-2-2-2-2-2-2-2-2-222-2-2222200000000222-2-2-222-2-2-2-2-22000000002222000000000000-2-20000-22-220000-2-222-2-2220000000000000000-2-222-2-22200000000000000000000000000000000
χ512222222222-2-2-2-2-2-2-2-2-2-222-2-2222200000000222-2-2-222-2-2-2-2-2200000000-2-2-2-20000000000002200002-22-2000022-2-222-2-20000000000000000-2-222-2-22200000000000000000000000000000000
χ522222222222-2-2-2-2-2-2-2-2-2-222-2-2222200000000222-2-2-222-2-2-2-2-2200000000-2-2-2-20000000000002200002-22-20000-2-222-2-222000000000000000022-2-222-2-200000000000000000000000000000000
χ532222-2-2-2-2222222-2-2-2-2222-2-2-2-2-222000000002-2-2-2222222-2-2-2-20000000022-2-2000000000000-2200002-2-220000000000002i2i−2i−2i−2i−2i2i2i00000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ542222-2-2-2-2222222-2-2-2-2222-2-2-2-2-222000000002-2-2-2222222-2-2-2-20000000022-2-2000000000000-2200002-2-22000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ552222-2-2-2-2222222-2-2-2-2222-2-2-2-2-222000000002-2-2-2222222-2-2-2-200000000-2-2220000000000002-20000-222-20000000000002i2i−2i−2i−2i−2i2i2i0000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ562222-2-2-2-2222222-2-2-2-2222-2-2-2-2-222000000002-2-2-2222222-2-2-2-200000000-2-2220000000000002-20000-222-2000000000000−2i−2i2i2i2i2i−2i−2i00000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ572222-2-2-2-2222222-2-2-2-2-2-22222-2-2-2-200000000222-2-2-2-2-22222-220000000022-2-2000000000000-220000-222-2000022-2-2-2-222000000000000000022-2-2-2-22200000000000000000000000000000000
χ582222-2-2-2-2222222-2-2-2-2-2-22222-2-2-2-200000000222-2-2-2-2-22222-220000000022-2-2000000000000-220000-222-20000-2-22222-2-20000000000000000-2-22222-2-200000000000000000000000000000000
χ592222-2-2-2-2222222-2-2-2-2-2-22222-2-2-2-200000000222-2-2-2-2-22222-2200000000-2-2220000000000002-200002-2-22000022-2-2-2-2220000000000000000-2-22222-2-200000000000000000000000000000000
χ602222-2-2-2-2222222-2-2-2-2-2-22222-2-2-2-200000000222-2-2-2-2-22222-2200000000-2-2220000000000002-200002-2-220000-2-22222-2-2000000000000000022-2-2-2-22200000000000000000000000000000000
χ612222-2-2-2-222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-22-2-2-2-2-22222-22-2-2-2-22222000022-2-200000000000000000000000000000000000000000000000000000000000000200-200-2200000000-222-20000
χ622222-2-2-2-222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-22-2-2-2-2-22222-22-2-2-2-22222000022-2-200000000000000000000000000000000000000000000000000000000000000-2002002-2000000002-2-220000
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Here i is the imaginary unit (i² = −1).