Finite Group Databasebeta

← Group #72322883

Character table — Group #72322883

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size111122222222222222222222444444444444444888888888888888888888888888888888888888888888888888888816161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232323264646464
order122222222222444444448888222444488888888222222444444888888888881616161616161616161616161616161616161616161616161616161616161616444444888888888888244444444444444488888816161616161616168888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-111
χ81111111111111111111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-11111-1-1-1-11111111111-1-1
χ9111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-111-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ10111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ11111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-11111-1111111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ12111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111
χ13111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1111111-1-1
χ14111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-11111-1-111
χ15111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-111-1-111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ16111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-11111111111111-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1
χ171111111-1-1111111111111111-1-1-1-1-1-1-111-1-1111111-1-111-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111111-1-11111-1-11111-111-11-1-111-1-1-1-1-111-1-111-1-111-1-111-1-11-1-11
χ181111111-1-1111111111111111-1-1-1-1-1-1-111-1-1111111-1-111-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-11-1-11111-1-111-111-1-111-1-11111-1-111-1-1-111-1
χ191111111-1-1111111111111111-1-1-1-1-1-1-111-1-1111111-1-111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-111111-1-11111-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1111111-1-1-1-111-1-1111-11-1
χ201111111-1-1111111111111111-1-1-1-1-1-1-111-1-1111111-1-111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-11111-1-11111-111-111111-1-1-111-1-1-1-1-1-111-1-111-1-111-11-11
χ211111111-1-1111111111111111-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1111111-1-1-1-11111111-1-11-11111-1-11-1-1-1-1-1-111-1-1-1-111-1-111-111-1
χ221111111-1-1111111111111111-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1111111111-1-111-1-111-1-1111-1-11
χ231111111-1-1111111111111111-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1111111-1-1-1-111-1-1-1-1-111-1-111-1-1111-1-1-1-11111-1-111-1-111-1-1-11-11
χ241111111-1-1111111111111111-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111-1-1-1-11111111-1-11-1-1-111-1-111111-1-1-1-11111-1-111-1-11-11-1
χ251111111-1-1111111111111111-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111111-1-1-1-1111111111-1-11-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-111-11-11
χ261111111-1-1111111111111111-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-11111-1-1111-1-11111-1-111-1-1-1-1111-11-1
χ271111111-1-1111111111111111-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-111-1-1-1-111-1-11-1-11111-1-111-1-11111-1-1-111-1
χ281111111-1-1111111111111111-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111-1-11-111-1-111111-1-1-1-111-1-1-1-11111-1-11-1-11
χ291111111-1-1111111111111111-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111111111-1-1-1-11111-111-1111-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-11-11-1
χ301111111-1-1111111111111111-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-111-1-1-111111111-1-1-1-11111-1-1-11-11
χ311111111-1-1111111111111111-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-111-1-11111-1-1-1-1111-1-11
χ321111111-1-1111111111111111-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-11111-111-11-1-1-1-111-11111-1-111-1-111-1-1-1-111-111-1
χ3322222222222222222222-2-2-2-22222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000220000-2-2-2-2-2-2-2-200000000200000020000000000000000000000
χ3422222222222222222222-2-2-2-22222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-200002222222200000000-2000000-20000000000000000000000
χ3522222222222222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-22222222200000000000000000000000000000000220000-2-222-2-22200000000-2000000-20000000000000000000000
χ3622222222222222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000-2-2000022-2-222-2-200000000200000020000000000000000000000
χ37222222222222-2-2-2-2-2-2-2-20000222-2-2-2-2000000000000222200000002i2i−2i−2i2i2i−2i−2ii2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i22222−2−2−2−22222−2−2−2−2-2-20000002i−2i002i−2i00000000000000000000000000i2−i2i2−i22−22−20000
χ38222222222222-2-2-2-2-2-2-2-20000222-2-2-2-2000000000000222200000002i2i−2i−2i2i2i−2i−2i−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−2−2−2−22222−2−2−2−22222-2-20000002i−2i002i−2i00000000000000000000000000−i2i2−i2i2−22−220000
χ39222222222222-2-2-2-2-2-2-2-20000222-2-2-2-200000000000022220000000−2i−2i2i2i−2i−2i2i2ii2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−2−2−2−22222−2−2−2−22222-2-2000000−2i2i00−2i2i00000000000000000000000000i2−i2i2−i2−22−220000
χ40222222222222-2-2-2-2-2-2-2-20000222-2-2-2-200000000000022220000000−2i−2i2i2i−2i−2i2i2i−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i22222−2−2−2−22222−2−2−2−2-2-2000000−2i2i00−2i2i00000000000000000000000000−i2i2−i2i22−22−20000
χ41222222222222-2-2-2-2-2-2-2-20000222-2-2-2-2000000000000-2-2-2-200000002i2i−2i−2i2i2i−2i−2ii2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i22222−2−2−2−22222−2−2−2−222000000−2i2i00−2i2i00000000000000000000000000−i2i2−i2i2−22−220000
χ42222222222222-2-2-2-2-2-2-2-20000222-2-2-2-2000000000000-2-2-2-200000002i2i−2i−2i2i2i−2i−2i−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−2−2−2−22222−2−2−2−2222222000000−2i2i00−2i2i00000000000000000000000000i2−i2i2−i22−22−20000
χ43222222222222-2-2-2-2-2-2-2-20000222-2-2-2-2000000000000-2-2-2-20000000−2i−2i2i2i−2i−2i2i2ii2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−2−2−2−22222−2−2−2−22222220000002i−2i002i−2i00000000000000000000000000−i2i2−i2i22−22−20000
χ44222222222222-2-2-2-2-2-2-2-20000222-2-2-2-2000000000000-2-2-2-20000000−2i−2i2i2i−2i−2i2i2i−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i22222−2−2−2−22222−2−2−2−2220000002i−2i002i−2i00000000000000000000000000i2−i2i2−i2−22−220000
χ452222222-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-222-2-222-2-222-2-2222-2-2-2-2222200000000000000000000000000000000-22000022-2-2-2-222000000002000000-20000000000000000000000
χ462222222-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-222-2-2-2-22222-2-2222-2-2-2-22222000000000000000000000000000000002-20000-2-22222-2-200000000-200000020000000000000000000000
χ472222222-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-22222-2-2-2-2222222222-2-2-2-200000000000000000000000000000000-2200002222-2-2-2-200000000-200000020000000000000000000000
χ482222222-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-222-2-222-2-2222222222-2-2-2-2000000000000000000000000000000002-20000-2-2-2-22222000000002000000-20000000000000000000000
χ492222222-2-2222-2-2-2-2-2-2-2-20000-2-2-2222200000000000022-2-200000002i2i−2i−2i−2i−2i2i2ii2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i22222−2−2−2−2−2−2−2−222222-20000002i−2i00−2i2i00000000000000000000000000i2−i2−i2i22−2−220000
χ502222222-2-2222-2-2-2-2-2-2-2-20000-2-2-2222200000000000022-2-200000002i2i−2i−2i−2i−2i2i2i−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−2−2−2−222222222−2−2−2−22-20000002i−2i00−2i2i00000000000000000000000000−i2i2i2−i2−222−20000
χ512222222-2-2222-2-2-2-2-2-2-2-20000-2-2-2222200000000000022-2-20000000−2i−2i2i2i2i2i−2i−2ii2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−2−2−2−222222222−2−2−2−22-2000000−2i2i002i−2i00000000000000000000000000i2−i2−i2i2−222−20000
χ522222222-2-2222-2-2-2-2-2-2-2-20000-2-2-2222200000000000022-2-20000000−2i−2i2i2i2i2i−2i−2i−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i22222−2−2−2−2−2−2−2−222222-2000000−2i2i002i−2i00000000000000000000000000−i2i2i2−i22−2−220000
χ532222222-2-2222-2-2-2-2-2-2-2-20000-2-2-22222000000000000-2-22200000002i2i−2i−2i−2i−2i2i2ii2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i22222−2−2−2−2−2−2−2−22222-22000000−2i2i002i−2i00000000000000000000000000−i2i2i2−i2−222−20000
χ542222222-2-2222-2-2-2-2-2-2-2-20000-2-2-22222000000000000-2-22200000002i2i−2i−2i−2i−2i2i2i−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−2−2−2−222222222−2−2−2−2-22000000−2i2i002i−2i00000000000000000000000000i2−i2−i2i22−2−220000
χ552222222-2-2222-2-2-2-2-2-2-2-20000-2-2-22222000000000000-2-2220000000−2i−2i2i2i2i2i−2i−2ii2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−2−2−2−222222222−2−2−2−2-220000002i−2i00−2i2i00000000000000000000000000−i2i2i2−i22−2−220000
χ562222222-2-2222-2-2-2-2-2-2-2-20000-2-2-22222000000000000-2-2220000000−2i−2i2i2i2i2i−2i−2i−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i22222−2−2−2−2−2−2−2−22222-220000002i−2i00−2i2i00000000000000000000000000i2−i2−i2i2−222−20000
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Here i is the imaginary unit (i² = −1).