Finite Group Databasebeta

← Group #72299689

Character table — Group #72299689

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142
size111111111111111111111111111111114444444444444444444444448888888888888888888888888888888888888888888888888888888888881616161616161616161616161616161616161616161616161616
order1222222222222222222222222222222222222222444444444444444422222222444444444444444444444444444444444444444444444444444422222244444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-111
χ5111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1
χ6111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111
χ7111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111111111-1-1-1-1-1-1
χ91111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1
χ101111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-111
χ111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-11111
χ121111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-11111-1-1
χ131111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-111
χ141111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1
χ151111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1111111-1-1
χ161111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ1711111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1
χ1811111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1111111-1-1-1-111
χ1911111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-11111
χ2011111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-11111-1-1
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-1-1-111
χ2211111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1
χ2311111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-11111111111-1-1
χ2411111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-11111
χ2511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-111111111
χ2611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-111-1-1-1-111-1-1
χ2711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1
χ2811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-111
χ2911111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-111-1-1
χ3011111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-111-1-111-1-111-1-111
χ3211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111111111111111-1-111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1
χ3322222222222-2-2-2-2-2-2-222-2-2-222-2-2-2-2-22-200000000000000002222-2-2-2-200000000000022-2-22i2i−2i−2i00002i2i−2i−2i000000002i2i−2i−2i22-2-20000000000000000000000000000002i−2i0000000000
χ3422222222222-2-2-2-2-2-2-222-2-2-222-2-2-2-2-22-200000000000000002222-2-2-2-200000000000022-2-2−2i−2i2i2i0000−2i−2i2i2i00000000−2i−2i2i2i22-2-2000000000000000000000000000000−2i2i0000000000
χ3522222222222-2-2-2-2-2-2-222-2-2-222-2-2-2-2-22-200000000000000002222-2-2-2-2000000000000-2-2222i2i−2i−2i00002i2i−2i−2i00000000−2i−2i2i2i-2-222000000000000000000000000000000−2i2i0000000000
χ3622222222222-2-2-2-2-2-2-222-2-2-222-2-2-2-2-22-200000000000000002222-2-2-2-2000000000000-2-222−2i−2i2i2i0000−2i−2i2i2i000000002i2i−2i−2i-2-2220000000000000000000000000000002i−2i0000000000
χ3722222222222-2-2-2-2-2-2-222-2-2-222-2-2-2-2-22-20000000000000000-2-2-2-2222200000000000022-2-22i2i−2i−2i0000−2i−2i2i2i000000002i2i−2i−2i-2-222000000000000000000000000000000−2i2i0000000000
χ3822222222222-2-2-2-2-2-2-222-2-2-222-2-2-2-2-22-20000000000000000-2-2-2-2222200000000000022-2-2−2i−2i2i2i00002i2i−2i−2i00000000−2i−2i2i2i-2-2220000000000000000000000000000002i−2i0000000000
χ3922222222222-2-2-2-2-2-2-222-2-2-222-2-2-2-2-22-20000000000000000-2-2-2-22222000000000000-2-2222i2i−2i−2i0000−2i−2i2i2i00000000−2i−2i2i2i22-2-20000000000000000000000000000002i−2i0000000000
χ4022222222222-2-2-2-2-2-2-222-2-2-222-2-2-2-2-22-20000000000000000-2-2-2-22222000000000000-2-222−2i−2i2i2i00002i2i−2i−2i000000002i2i−2i−2i22-2-2000000000000000000000000000000−2i2i0000000000
χ412222222-2-2-2-22222-2-2-22-22-2-2-2-222-2-2-2-22000000002222-2-2-2-22i2i−2i−2i2i2i−2i−2i22-2-222-2-20000000000002i2i−2i−2i000000000000000000000000000000002i2i−2i−2i0000002i−2i000000000000000000
χ422222222-2-2-2-22222-2-2-22-22-2-2-2-222-2-2-2-22000000002222-2-2-2-22i2i−2i−2i2i2i−2i−2i-2-222-2-2220000000000002i2i−2i−2i00000000000000000000000000000000−2i−2i2i2i000000−2i2i000000000000000000
χ432222222-2-2-2-22222-2-2-22-22-2-2-2-222-2-2-2-22000000002222-2-2-2-2−2i−2i2i2i−2i−2i2i2i22-2-222-2-2000000000000−2i−2i2i2i00000000000000000000000000000000−2i−2i2i2i000000−2i2i000000000000000000
χ442222222-2-2-2-22222-2-2-22-22-2-2-2-222-2-2-2-22000000002222-2-2-2-2−2i−2i2i2i−2i−2i2i2i-2-222-2-222000000000000−2i−2i2i2i000000000000000000000000000000002i2i−2i−2i0000002i−2i000000000000000000
χ452222222-2-2-2-22222-2-2-22-22-2-2-2-222-2-2-2-2200000000-2-2-2-222222i2i−2i−2i2i2i−2i−2i22-2-2-2-222000000000000−2i−2i2i2i000000000000000000000000000000002i2i−2i−2i000000−2i2i000000000000000000
χ462222222-2-2-2-22222-2-2-22-22-2-2-2-222-2-2-2-2200000000-2-2-2-222222i2i−2i−2i2i2i−2i−2i-2-22222-2-2000000000000−2i−2i2i2i00000000000000000000000000000000−2i−2i2i2i0000002i−2i000000000000000000
χ472222222-2-2-2-22222-2-2-22-22-2-2-2-222-2-2-2-2200000000-2-2-2-22222−2i−2i2i2i−2i−2i2i2i22-2-2-2-2220000000000002i2i−2i−2i00000000000000000000000000000000−2i−2i2i2i0000002i−2i000000000000000000
χ482222222-2-2-2-22222-2-2-22-22-2-2-2-222-2-2-2-2200000000-2-2-2-22222−2i−2i2i2i−2i−2i2i2i-2-22222-2-20000000000002i2i−2i−2i000000000000000000000000000000002i2i−2i−2i000000−2i2i000000000000000000
χ492222-2-2-222-2-222-2-2-2-2-2-2-2-22-22-22-2222222222-2-2-2-200000000000000000000000022-2-20000000000000000000022-2-22-22-2000022-2-2000000002-22-20000000000000000000000002-2
χ502222-2-2-222-2-222-2-2-2-2-2-2-2-22-22-22-2222222222-2-2-2-200000000000000000000000022-2-200000000000000000000-2-222-22-220000-2-222000000002-22-2000000000000000000000000-22
χ512222-2-2-222-2-222-2-2-2-2-2-2-2-22-22-22-2222222222-2-2-2-2000000000000000000000000-2-2220000000000000000000022-2-22-22-20000-2-22200000000-22-22000000000000000000000000-22
χ522222-2-2-222-2-222-2-2-2-2-2-2-2-22-22-22-2222222222-2-2-2-2000000000000000000000000-2-22200000000000000000000-2-222-22-22000022-2-200000000-22-220000000000000000000000002-2
χ532222-2-2-222-2-222-2-2-2-2-2-2-2-22-22-22-222222-2-2-2-2222200000000000000000000000022-2-20000000000000000000022-2-2-22-220000-2-22200000000-22-220000000000000000000000002-2
χ542222-2-2-222-2-222-2-2-2-2-2-2-2-22-22-22-222222-2-2-2-2222200000000000000000000000022-2-200000000000000000000-2-2222-22-2000022-2-200000000-22-22000000000000000000000000-22
χ552222-2-2-222-2-222-2-2-2-2-2-2-2-22-22-22-222222-2-2-2-22222000000000000000000000000-2-2220000000000000000000022-2-2-22-22000022-2-2000000002-22-2000000000000000000000000-22
χ562222-2-2-222-2-222-2-2-2-2-2-2-2-22-22-22-222222-2-2-2-22222000000000000000000000000-2-22200000000000000000000-2-2222-22-20000-2-222000000002-22-20000000000000000000000002-2
χ5722-2-22-2-222222-22-22-2-22-2-222-2-2222-2-2-2-20000000022-2-222-2-22i−2i2i−2i2i−2i2i−2i000000000000000000002i−2i2i−2i000000000000000000002i−2i2i−2i000000000000002-22-2000000000000002i−2i0000
χ5822-2-22-2-222222-22-22-2-22-2-222-2-2222-2-2-2-20000000022-2-222-2-22i−2i2i−2i2i−2i2i−2i000000000000000000002i−2i2i−2i00000000000000000000−2i2i−2i2i00000000000000-22-2200000000000000−2i2i0000
χ5922-2-22-2-222222-22-22-2-22-2-222-2-2222-2-2-2-20000000022-2-222-2-2−2i2i−2i2i−2i2i−2i2i00000000000000000000−2i2i−2i2i000000000000000000002i−2i2i−2i00000000000000-22-22000000000000002i−2i0000
χ6022-2-22-2-222222-22-22-2-22-2-222-2-2222-2-2-2-20000000022-2-222-2-2−2i2i−2i2i−2i2i−2i2i00000000000000000000−2i2i−2i2i00000000000000000000−2i2i−2i2i000000000000002-22-200000000000000−2i2i0000
χ6122-2-22-2-222222-22-22-2-22-2-222-2-2222-2-2-2-200000000-2-222-2-2222i−2i2i−2i2i−2i2i−2i00000000000000000000−2i2i−2i2i000000000000000000002i−2i2i−2i00000000000000-222-200000000000000−2i2i0000
χ6222-2-22-2-222222-22-22-2-22-2-222-2-2222-2-2-2-200000000-2-222-2-2222i−2i2i−2i2i−2i2i−2i00000000000000000000−2i2i−2i2i00000000000000000000−2i2i−2i2i000000000000002-2-22000000000000002i−2i0000
χ6322-2-22-2-222222-22-22-2-22-2-222-2-2222-2-2-2-200000000-2-222-2-222−2i2i−2i2i−2i2i−2i2i000000000000000000002i−2i2i−2i000000000000000000002i−2i2i−2i000000000000002-2-2200000000000000−2i2i0000
χ6422-2-22-2-222222-22-22-2-22-2-222-2-2222-2-2-2-200000000-2-222-2-222−2i2i−2i2i−2i2i−2i2i000000000000000000002i−2i2i−2i00000000000000000000−2i2i−2i2i00000000000000-222-2000000000000002i−2i0000
χ6522-2-22-2-2-2-2-2-22-22-2-22222-2-2-22222-2222-20000000022-2-2-2-2222-2-222-2-220000000000002-22-200002-2-22000000002-22-200002-22-200000000000000000000000000002-2000000000000
χ6622-2-22-2-2-2-2-2-22-22-2-22222-2-2-22222-2222-20000000022-2-2-2-2222-2-222-2-22000000000000-22-2200002-2-2200000000-22-220000-22-220000000000000000000000000000-22000000000000
χ6722-2-22-2-2-2-2-2-22-22-2-22222-2-2-22222-2222-20000000022-2-2-2-222-222-2-222-20000000000002-22-20000-222-2000000002-22-20000-22-220000000000000000000000000000-22000000000000
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Here i is the imaginary unit (i² = −1).