Finite Group Databasebeta

← Group #72261362

Character table — Group #72261362

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130
size111111112222222222224444444444444444444444444444444444444444444444444444444444448888888888888888888888888888881616161616161616323232323232323232323232
order1222444422222244444422222222222222222222224444444444444444444444444444444444444422222224444444444444444444444488888888444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ9111111111-1-1-1-1111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ10111111111-1-1-1-1111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111
χ11111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111
χ12111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1
χ13111111111-1-1-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1
χ14111111111-1-1-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ15111111111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111
χ16111111111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1
χ171111-1-1-1-1111111-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-111111-1-1-1-1-1-111-1-111-1-111-1-111-1-1ii−i−iii−i−ii−ii−ii−ii−ii−ii−i
χ181111-1-1-1-1111111-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-111111-1-1-1-1-1-111-1-111-1-111-1-111-1-1−i−iii−i−iii−ii−ii−ii−ii−ii−ii
χ191111-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-11-1-1111111-1-111-1-1-1-111-1-111ii−i−iii−i−i−ii−iii−ii−i−ii−ii
χ201111-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-11-1-1111111-1-111-1-1-1-111-1-111−i−iii−i−iiii−ii−i−ii−iii−ii−i
χ211111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-11-1-11111-1-111-1-11111-1-111-1-1ii−i−iii−i−i−ii−ii−ii−iii−ii−i
χ221111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-11-1-11111-1-111-1-11111-1-111-1-1−i−iii−i−iiii−ii−ii−ii−i−ii−ii
χ231111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111ii−i−iii−i−ii−ii−i−ii−ii−ii−ii
χ241111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111−i−iii−i−iii−ii−iii−ii−ii−ii−i
χ251111-1-1-1-11-1-1-1-11-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-111-1-11111-1-1-1-11111-1-1-1-111ii−i−i−i−iiii−i−iii−i−iii−i−ii
χ261111-1-1-1-11-1-1-1-11-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-111-1-11111-1-1-1-11111-1-1-1-111−i−iiiii−i−i−iii−i−iii−i−iii−i
χ271111-1-1-1-11-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-111-11111-1-111-1-1-1-111-1-11111-1-1ii−i−i−i−iii−iii−ii−i−ii−iii−i
χ281111-1-1-1-11-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-111-11111-1-111-1-1-1-111-1-11111-1-1−i−iiiii−i−ii−i−ii−iii−ii−i−ii
χ291111-1-1-1-11-1-1-1-11-1-111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-111-11111-1-1-1-11111-1-111-1-1-1-111ii−i−i−i−iii−iii−i−iii−ii−i−ii
χ301111-1-1-1-11-1-1-1-11-1-111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-111-11111-1-1-1-11111-1-111-1-1-1-111−i−iiiii−i−ii−i−iii−i−ii−iii−i
χ311111-1-1-1-11-1-1-1-11-1-111111111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-111-1-111-1-11111-1-1-1-11111-1-1ii−i−i−i−iiii−i−ii−iii−i−iii−i
χ321111-1-1-1-11-1-1-1-11-1-111111111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-111-1-111-1-11111-1-1-1-11111-1-1−i−iiiii−i−i−iii−ii−i−iii−i−ii
χ332222222222222222222222-2-20000000022222222-2-2-2-20000000022222222000000000000000022-2-22-2-20000-22-2000000000000-2-2-2-2-2-2-2-200000000000000000000
χ342222222222222222222222-2-200000000-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-2000000000000000022-2-22-2-20000-22-20000000000002222222200000000000000000000
χ3522222222222222222222-2-2222222222200000000-2-2-2-222222222000000000000000000000000-2-222-22-20000-2-220000-2-2-2-2-2-2-2-20000000000000000000000000000
χ3622222222222222222222-2-222-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-222-22-20000-2-220000222222220000000000000000000000000000
χ3722222222222222222222-2-2-2-20000000000000000222200000000000000002222222222222222-2-2-2-2-2-22-2-2-2-22-2-2-2-2-2-2000000000000000000000000000000000000
χ3822222222222222222222-2-2-2-2000000000000000022220000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-22222000000000000000000000000000000000000
χ39222222222-2-2-2-2222-2-2-2-222-2-2000000002222-2-2-2-2-2-2-2-2000000002222-2-2-2-2000000000000000022-2-2-22200002-22000000000000-2-2-2-2222200000000000000000000
χ40222222222-2-2-2-2222-2-2-2-222-2-200000000-2-2-2-22222-2-2-2-200000000-2-2-2-22222000000000000000022-2-2-22200002-220000000000002222-2-2-2-200000000000000000000
χ41222222222-2-2-2-2222-2-2-2-2-2-2222222-2-2-2-200000000-2-2-2-22222-2-2-2-2000000000000000000000000-2-2222-22000022-20000-2-2-2-222220000000000000000000000000000
χ42222222222-2-2-2-2222-2-2-2-2-2-222-2-2-2-2222200000000-2-2-2-2-2-2-2-22222000000000000000000000000-2-2222-22000022-200002222-2-2-2-20000000000000000000000000000
χ43222222222-2-2-2-2222-2-2-2-2-2-2-2-200000000000000002222000000000000000022222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-222-222-2-222000000000000000000000000000000000000
χ44222222222-2-2-2-2222-2-2-2-2-2-2-2-2000000000000000022220000000000000000-2-2-2-2-2-2-2-222222222-2-2-2-222-222-2-2-22222-2-2000000000000000000000000000000000000
χ452222-2-2-2-2222222-2-2-2-2-2-222-2-2000000002222222222-2-200000000-2-2-2-2-2-2-2-20000000000000000-2-2222-220000-2-22000000000000-2-222-2-22200000000000000000000
χ462222-2-2-2-2222222-2-2-2-2-2-222-2-200000000-2-2-2-2-2-2-2-222-2-200000000222222220000000000000000-2-2222-220000-2-2200000000000022-2-222-2-200000000000000000000
χ472222-2-2-2-2222222-2-2-2-2-2-2-2-222222222220000000022-2-2-2-2-2-2-2-2-2-200000000000000000000000022-2-2-2220000-22-20000-2-222-2-2220000000000000000000000000000
χ482222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-20000000022-2-22222222200000000000000000000000022-2-2-2220000-22-2000022-2-222-2-20000000000000000000000000000
χ492222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-20000000000000000-2-22200000000000000002222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-22222222000000000000000000000000000000000000
χ502222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-20000000000000000-2-2220000000000000000-2-2-2-22222-2-2-2-222222222-2-2-22222222-2-2-2-2000000000000000000000000000000000000
χ512222-2-2-2-22-2-2-2-22-2-2222222-2-2000000002222-2-2-2-222-2-200000000-2-2-2-222220000000000000000-2-222-22-2000022-2000000000000-2-22222-2-200000000000000000000
χ522222-2-2-2-22-2-2-2-22-2-2222222-2-200000000-2-2-2-2222222-2-2000000002222-2-2-2-20000000000000000-2-222-22-2000022-200000000000022-2-2-2-22200000000000000000000
χ532222-2-2-2-22-2-2-2-22-2-22222-2-2222222-2-2-2-20000000022-2-2-2-2-2-2222200000000000000000000000022-2-22-2-200002-220000-2-22222-2-20000000000000000000000000000
χ542222-2-2-2-22-2-2-2-22-2-22222-2-222-2-2-2-222220000000022-2-22222-2-2-2-200000000000000000000000022-2-22-2-200002-22000022-2-2-2-2220000000000000000000000000000
χ552222-2-2-2-22-2-2-2-22-2-22222-2-2-2-20000000000000000-2-22200000000000000002222-2-2-2-2-2-2-2-222222222222-2-222-2-2-222-2-2000000000000000000000000000000000000
χ562222-2-2-2-22-2-2-2-22-2-22222-2-2-2-20000000000000000-2-2220000000000000000-2-2-2-222222222-2-2-2-2222222222-2-2-2-2-2-2-222000000000000000000000000000000000000
χ572-2-2222-2-2-2000022-200002-22-2000022-2-2000022-2-22-22-2000022-2-2000022-2-222-2-222-2-2000000002-22-20002-2000002-20000002-22-200002-22-200000000000000000000
χ582-2-2222-2-2-2000022-200002-22-2000022-2-20000-2-2222-22-2000022-2-20000-2-222-2-222-2-222000000002-22-2000-2200000-220000002-22-20000-22-2200000000000000000000
χ592-2-2222-2-2-2000022-200002-22-20000-2-222000022-2-22-22-20000-2-222000022-2-2-2-222-2-222000000002-22-2000-2200000-22000000-22-2200002-22-200000000000000000000
χ602-2-2222-2-2-2000022-200002-22-20000-2-2220000-2-2222-22-20000-2-2220000-2-22222-2-222-2-2000000002-22-20002-2000002-2000000-22-220000-22-2200000000000000000000
χ612-2-2222-2-2-2000022-200002-2-2222-2-20000000022-2-2-22-2222-2-20000000022-2-20000000022-2-222-2-22-2-22000002-2000002-22-22-200000000-22-2200000000000000000000
χ622-2-2222-2-2-2000022-200002-2-2222-2-200000000-2-222-22-2222-2-200000000-2-22200000000-2-222-2-2222-2-2200000-2200000-222-22-2000000002-22-200000000000000000000
χ632-2-2222-2-2-2000022-200002-2-22-2-2220000000022-2-2-22-22-2-2220000000022-2-200000000-2-222-2-2222-2-2200000-2200000-22-22-2200000000-22-2200000000000000000000
χ642-2-2222-2-2-2000022-200002-2-22-2-22200000000-2-222-22-22-2-22200000000-2-2220000000022-2-222-2-22-2-22000002-2000002-2-22-22000000002-22-200000000000000000000
χ652-2-2222-2-2-2000022-20000-222-2000022-2-222-2-20000-22-22000022-2-222-2-200000000000022-2-222-2-2-222-200000-2200000-220000-22-222-22-2000000000000000000000000
χ662-2-2222-2-2-2000022-20000-222-2000022-2-2-2-2220000-22-22000022-2-2-2-222000000000000-2-222-2-222-222-2000002-2000002-20000-22-22-22-22000000000000000000000000
χ672-2-2222-2-2-2000022-20000-222-20000-2-22222-2-20000-22-220000-2-22222-2-2000000000000-2-222-2-222-222-2000002-2000002-200002-22-22-22-2000000000000000000000000
χ682-2-2222-2-2-2000022-20000-222-20000-2-222-2-2220000-22-220000-2-222-2-22200000000000022-2-222-2-2-222-200000-2200000-2200002-22-2-22-22000000000000000000000000
χ692-2-2222-2-2-2000022-20000-22-2222-2-2000022-2-200002-22-222-2-2000022-2-2000022-2-222-2-200000000-22-22000-2200000-2200-22-220000-22-22000000000000000000000000
χ702-2-2222-2-2-2000022-20000-22-2222-2-20000-2-22200002-22-222-2-20000-2-2220000-2-222-2-22200000000-22-220002-2000002-200-22-2200002-22-2000000000000000000000000
χ712-2-2222-2-2-2000022-20000-22-22-2-222000022-2-200002-22-2-2-222000022-2-20000-2-222-2-22200000000-22-220002-2000002-2002-22-20000-22-22000000000000000000000000
χ722-2-2222-2-2-2000022-20000-22-22-2-2220000-2-22200002-22-2-2-2220000-2-222000022-2-222-2-200000000-22-22000-2200000-22002-22-200002-22-2000000000000000000000000
χ732-2-22-2-222-200002-2200002-22-2000022-2-2000022-2-2-222-20000-2-2220000-2-22222-2-2-2-22200000000-22-220002-200000-220000002-2-2200002-2-2200000000000000000000
χ742-2-22-2-222-200002-2200002-22-2000022-2-20000-2-222-222-20000-2-222000022-2-2-2-22222-2-200000000-22-22000-22000002-20000002-2-220000-222-200000000000000000000
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Here i is the imaginary unit (i² = −1).