Finite Group Databasebeta

← Group #72312337

Character table — Group #72312337

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size111111112222444444444444444444444444888888888888888888888888888888888888888888888888881616161616161616323232323232323232323232
order1222444422442222222244444444444444442222222222222224444444444444444444444444444444444422444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1
χ811111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ911111111111111-1-111111111-1-11111111111-1-1-111-1-111-1-111-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1
χ1011111111111111-1-111111111-1-11111111111-1-1-111-1-111-1-111-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111
χ1111111111111111-1-111111111-1-11111111111-1-1-111-1-1-1-111-1-111-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1
χ1211111111111111-1-111111111-1-11111111111-1-1-111-1-1-1-111-1-111-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-111-1-1-1-111
χ1311111111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111
χ1411111111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1
χ1511111111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111
χ1611111111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1
χ171111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1111111-1-111-1-11-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-111-1-111-1-11-111-1-11-11-11-11-11-11-11-1
χ181111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1111111-1-111-1-11-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-111-1-111-1-1-11-1-111-11-11-11-11-11-11-11
χ191111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-11111-1-111-1-1111-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-1111-111-1-11-1-11-11-11-111-11-1
χ201111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-11111-1-111-1-1111-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-11-1-111-111-11-11-11-1-11-11
χ211111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1111-1-11111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1111-111-1-11-11-11-1-11-11-11-11
χ221111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1111-1-11111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111-11-1-111-11-11-111-11-11-11-1
χ231111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11111-1-11-1-1111111-1-1-1-111-1-111-1-111-1-11111-1-111-1-11-111-1-11-1-11-111-11-1-11-11
χ241111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11111-1-11-1-1111111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-11-1-111-111-11-1-11-111-11-1
χ251111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1111-1-111111111-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1-1111-11-1-111-1-111-1-11
χ261111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1111-1-111111111-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1111-1-1-11-111-1-111-1-111-1
χ271111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-111-1-11111-1-1-1-11111-1-11-1-1-1111-1-111-1-111-11-1-11
χ281111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-111-1-11111-1-1-1-11111-1-1-1111-1-1-111-1-111-1-11-111-1
χ291111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-11-1-1111111-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-11-1-1-1111-11-1-11-111-1-111-1
χ301111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-11-1-1111111-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1-1111-1-1-11-111-11-1-111-1-11
χ311111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-11-1-111-1-1-1-11111-11111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111-1-1-1111-1-111-11-1-11-111-1
χ321111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-11-1-111-1-1-1-11111-11111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1111-1-1-111-1-11-111-11-1-11
χ332222222222222222-2-2-2-2-2-2-2-2222222222222-2-22-2-2-2-2000000002-2-2-2-2-2-2000000002222000000000000000000000000000000000000
χ342222222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-222-2-222222000000002-2-2222200000000-2-2-2-2000000000000000000000000000000000000
χ3522222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-22200000000-222-2-22200000000-2-2-2-2000000000000000000000000000000000000
χ3622222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-222-2-200000000-22222-2-2000000002222000000000000000000000000000000000000
χ37222222222222-2-22222-2-222-2-22200000000-2-22-2-2000000002222-22-2000000002222000000000000-2-2-2-2-2-2-2-200000000000000000000
χ38222222222222-2-22222-2-222-2-22200000000-2-22-2-200000000-2-2-2-2-22-200000000-2-2-2-20000000000002222222200000000000000000000
χ39222222222222-2-222-2-222-2-2222200000000-2-2-22-2000022220000-2-220000222200000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ40222222222222-2-222-2-222-2-2222200000000-2-2-22-20000-2-2-2-20000-2-220000-2-2-2-200000000222222220000000000000000000000000000
χ41222222222222-2-2-2-222-2-222-2-2-2-200000000-2-2-2220000000022-2-22-220000000022-2-2000000000000-2-2-2-2222200000000000000000000
χ42222222222222-2-2-2-222-2-222-2-2-2-200000000-2-2-22200000000-2-2222-2200000000-2-2220000000000002222-2-2-2-200000000000000000000
χ43222222222222-2-2-2-2-2-222-2-222-2-200000000-2-22-22000022-2-2000022-2000022-2-200000000-2-2-2-222220000000000000000000000000000
χ44222222222222-2-2-2-2-2-222-2-222-2-200000000-2-22-220000-2-222000022-20000-2-222000000002222-2-2-2-20000000000000000000000000000
χ452222-2-2-2-222-2-2222222-2-2-2-222-2-200000000-2-22-220000000022-2-2-2-2200000000-2-222000000000000-2-222-2-22200000000000000000000
χ462222-2-2-2-222-2-2222222-2-2-2-222-2-200000000-2-22-2200000000-2-222-2-220000000022-2-200000000000022-2-222-2-200000000000000000000
χ472222-2-2-2-222-2-22222-2-22222-2-2-2-200000000-2-2-222000022-2-20000-22-20000-2-22200000000-2-222-2-2220000000000000000000000000000
χ482222-2-2-2-222-2-22222-2-22222-2-2-2-200000000-2-2-2220000-2-2220000-22-2000022-2-20000000022-2-222-2-20000000000000000000000000000
χ492222-2-2-2-222-2-222-2-222-2-2-2-2222200000000-2-2-22-200000000222222-200000000-2-2-2-2000000000000-2-22222-2-200000000000000000000
χ502222-2-2-2-222-2-222-2-222-2-2-2-2222200000000-2-2-22-200000000-2-2-2-222-200000000222200000000000022-2-2-2-22200000000000000000000
χ512222-2-2-2-222-2-222-2-2-2-22222-2-22200000000-2-22-2-20000222200002-220000-2-2-2-200000000-2-22222-2-20000000000000000000000000000
χ522222-2-2-2-222-2-222-2-2-2-22222-2-22200000000-2-22-2-20000-2-2-2-200002-22000022220000000022-2-2-2-2220000000000000000000000000000
χ532222-2-2-2-222-2-2-2-222-2-2-2-22222-2-22222-2-2-2-222-2-2-2-2-2-2-20000000022222220000000022-2-2000000000000000000000000000000000000
χ542222-2-2-2-222-2-2-2-222-2-2-2-22222-2-2-2-2-2-2222222-2-2-2222200000000222-2-2-2-200000000-2-222000000000000000000000000000000000000
χ552222-2-2-2-222-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-222222-2-22200000000-2-2-222-2-200000000-2-222000000000000000000000000000000000000
χ562222-2-2-2-222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-222222222222-2-200000000-2-2-2-2-2220000000022-2-2000000000000000000000000000000000000
χ572-2-2222-2-2-222-22-2002-22-22-22-200000000002-2000002-2002-22-200000002-2002-22-2002-22-200002-22-22-22-2000000000000000000000000
χ582-2-2222-2-2-222-22-2002-22-22-22-200000000002-2000002-200-22-2200000002-200-22-22002-22-20000-22-22-22-22000000000000000000000000
χ592-2-2222-2-2-222-22-2002-22-22-22-200000000002-200000-22002-2-220000000-22002-2-2200-22-2200002-22-2-22-22000000000000000000000000
χ602-2-2222-2-2-222-22-2002-22-22-22-200000000002-200000-2200-222-20000000-2200-222-200-22-220000-22-222-22-2000000000000000000000000
χ612-2-2222-2-2-222-22-200-22-22-22-2200000000002-2000002-22-200002-2000002-22-200002-2-22-222-22-2000000002-22-200000000000000000000
χ622-2-2222-2-2-222-22-200-22-22-22-2200000000002-2000002-2-220000-22000002-2-220000-22-22-22-22-2200000000-22-2200000000000000000000
χ632-2-2222-2-2-222-22-200-22-22-22-2200000000002-200000-222-20000-2200000-222-20000-222-22-22-22-200000000-22-2200000000000000000000
χ642-2-2222-2-2-222-22-200-22-22-22-2200000000002-200000-22-2200002-200000-22-2200002-22-22-2-22-22000000002-22-200000000000000000000
χ652-2-2222-2-2-222-2-22002-2-222-2-220022-2-222-2-2-220002-2002-2002-2000002-2002-2002-2000000-22-220000-22-22000000000000000000000000
χ662-2-2222-2-2-222-2-22002-2-222-2-220022-2-222-2-2-220002-200-2200-22000002-200-2200-220000002-22-200002-22-2000000000000000000000000
χ672-2-2222-2-2-222-2-22002-2-222-2-2200-2-222-2-222-22000-22002-200-2200000-22002-200-22000000-22-2200002-22-2000000000000000000000000
χ682-2-2222-2-2-222-2-22002-2-222-2-2200-2-222-2-222-22000-2200-22002-200000-2200-22002-20000002-22-20000-22-22000000000000000000000000
χ692-2-2222-2-2-222-2-2200-222-2-222-20022-2-222-2-2-22000-2200002-200-22000-2200002-200-2200000000-22-2200002-22-200000000000000000000
χ702-2-2222-2-2-222-2-2200-222-2-222-20022-2-222-2-2-22000-220000-22002-2000-220000-22002-2000000002-22-20000-22-2200000000000000000000
χ712-2-2222-2-2-222-2-2200-222-2-222-200-2-222-2-222-220002-200002-2002-20002-200002-2002-200000000-22-220000-22-2200000000000000000000
χ722-2-2222-2-2-222-2-2200-222-2-222-200-2-222-2-222-220002-20000-2200-220002-20000-2200-22000000002-22-200002-22-200000000000000000000
χ732-2-22-2-222-22-222-2002-2-22-222-20022-2-2-2-222-220002-2002-2002-200000-2200-2200-22000000-222-20000-222-2000000000000000000000000
χ742-2-22-2-222-22-222-2002-2-22-222-20022-2-2-2-222-220002-200-2200-2200000-22002-2002-20000002-2-2200002-2-22000000000000000000000000
χ752-2-22-2-222-22-222-2002-2-22-222-200-2-22222-2-2-22000-22002-200-22000002-200-22002-2000000-222-200002-2-22000000000000000000000000
χ762-2-22-2-222-22-222-2002-2-22-222-200-2-22222-2-2-22000-2200-22002-2000002-2002-200-220000002-2-220000-222-2000000000000000000000000
χ772-2-22-2-222-22-222-200-222-22-2-220022-2-2-2-222-22000-2200002-200-220002-20000-22002-2000000002-2-220000-222-200000000000000000000
χ782-2-22-2-222-22-222-200-222-22-2-220022-2-2-2-222-22000-220000-22002-20002-200002-200-2200000000-222-200002-2-2200000000000000000000
χ792-2-22-2-222-22-222-200-222-22-2-2200-2-22222-2-2-220002-200002-2002-2000-220000-2200-22000000002-2-2200002-2-2200000000000000000000
χ802-2-22-2-222-22-222-200-222-22-2-2200-2-22222-2-2-220002-20000-2200-22000-2200002-2002-200000000-222-20000-222-200000000000000000000
χ812-2-22-2-222-22-22-22002-22-2-22-2200000000002-2000002-2002-2-220000000-2200-222-2002-2-220000-222-2-222-2000000000000000000000000
χ822-2-22-2-222-22-22-22002-22-2-22-2200000000002-2000002-200-222-20000000-22002-2-22002-2-2200002-2-222-2-22000000000000000000000000
χ832-2-22-2-222-22-22-22002-22-2-22-2200000000002-200000-22002-22-200000002-200-22-2200-222-20000-222-22-2-22000000000000000000000000
χ842-2-22-2-222-22-22-22002-22-2-22-2200000000002-200000-2200-22-2200000002-2002-22-200-222-200002-2-22-222-2000000000000000000000000
χ852-2-22-2-222-22-22-2200-22-222-22-200000000002-2000002-22-20000-2200000-22-2200002-2-222-22-2-22000000002-2-2200000000000000000000
χ862-2-22-2-222-22-22-2200-22-222-22-200000000002-2000002-2-2200002-200000-222-20000-22-222-2-222-200000000-222-200000000000000000000
χ872-2-22-2-222-22-22-2200-22-222-22-200000000002-200000-222-200002-2000002-2-220000-222-2-222-2-2200000000-222-200000000000000000000
χ882-2-22-2-222-22-22-2200-22-222-22-200000000002-200000-22-220000-22000002-22-200002-22-2-22-222-2000000002-2-2200000000000000000000
χ8944444444-4-4-4-4004-4000000004-40000000000000000000000000000000000000000000000000000000000002-22-22-2-22000000000000
χ9044444444-4-4-4-4004-4000000004-4000000000000000000000000000000000000000000000000000000000000-22-22-222-2000000000000
χ9144444444-4-4-4-400-4400000000-440000000000000000000000000000000000000000000000000000000000002-2-22-22-22000000000000
χ9244444444-4-4-4-400-4400000000-44000000000000000000000000000000000000000000000000000000000000-222-22-22-2000000000000
χ934444-4-4-4-4-4-444004-400000000-44000000000000000000000000000000000000000000000000000000000000222-2-22-2-2000000000000
χ944444-4-4-4-4-4-444004-400000000-44000000000000000000000000000000000000000000000000000000000000-2-2-222-222000000000000
χ954444-4-4-4-4-4-44400-44000000004-400000000000000000000000000000000000000000000000000000000000022-222-2-2-2000000000000
χ964444-4-4-4-4-4-44400-44000000004-4000000000000000000000000000000000000000000000000000000000000-2-22-2-2222000000000000
χ9788-8-88i−8i8i−8i0000000000000000004-44-44i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-88i−8i8i−8i000000000000000000-44-44−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8−8i8i−8i8i0000000000000000004-44-4−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8−8i8i−8i8i000000000000000000-44-444i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-88i−8i−8i8i0000000000000000004-4-444i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-88i−8i−8i8i000000000000000000-444-4−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8−8i8i8i−8i0000000000000000004-4-44−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8−8i8i8i−8i000000000000000000-444-44i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-8888-8-88-8-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-8-8888-88-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).