Finite Group Databasebeta

← Group #72317310

Character table — Group #72317310

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size111111112222222222222222222222222222888888888888888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616161616161616
order1222444422222222222222444444444444442222222244444444444444444444444422224444444444444444444444448888888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ9111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ10111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ11111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ12111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111
χ13111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1
χ14111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ15111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ16111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ17222222222222-2-2-2-2-2-222-2-22222-2-2-2-2-2-2-222-2000000002222-2-2-2-2000000000000000000000000000022-2-2000000000000000022-2-200000000
χ18222222222222-2-2-2-2-2-222-2-22222-2-2-2-2-2-2-222-2000000002222-2-2-2-20000000000000000000000000000-2-2220000000000000000-2-22200000000
χ19222222222222-2-2-2-2-2-222-2-22222-2-2-2-2-2-2-222-200000000-2-2-2-22222000000000000000000000000000022-2-20000000000000000-2-22200000000
χ20222222222222-2-2-2-2-2-222-2-22222-2-2-2-2-2-2-222-200000000-2-2-2-222220000000000000000000000000000-2-222000000000000000022-2-200000000
χ212222222222-2-222-2-2-2-2-2-2222-2-2-22222-2-2-22-2-222-2-222-2-2000000000000000022-2-222-2-20000000000000000000022-2-200000000000000000000
χ222222222222-2-222-2-2-2-2-2-2222-2-2-22222-2-2-22-2-222-2-2-2-222000000000000000022-2-2-2-22200000000000000000000-2-22200000000000000000000
χ232222222222-2-222-2-2-2-2-2-2222-2-2-22222-2-2-22-2-2-2-22222-2-20000000000000000-2-22222-2-200000000000000000000-2-22200000000000000000000
χ242222222222-2-222-2-2-2-2-2-2222-2-2-22222-2-2-22-2-2-2-222-2-2220000000000000000-2-222-2-2220000000000000000000022-2-200000000000000000000
χ2522222222-2-22-22-222-2-22-22-2-22-2-222-2-22-2-2-2220000000022-2-222-2-200000000000000000000000022-2-2000000000000000000000000000022-2-2
χ2622222222-2-22-22-222-2-22-22-2-22-2-222-2-22-2-2-2220000000022-2-222-2-2000000000000000000000000-2-2220000000000000000000000000000-2-222
χ2722222222-2-22-22-222-2-22-22-2-22-2-222-2-22-2-2-22200000000-2-222-2-22200000000000000000000000022-2-20000000000000000000000000000-2-222
χ2822222222-2-22-22-222-2-22-22-2-22-2-222-2-22-2-2-22200000000-2-222-2-222000000000000000000000000-2-222000000000000000000000000000022-2-2
χ2922222222-2-22-2-22-2-2222-2-22-22-2-2-2-222-222-22-20000000022-2-2-2-2220000000000000000000000000000000000002-22-222-2-20000000000000000
χ3022222222-2-22-2-22-2-2222-2-22-22-2-2-2-222-222-22-20000000022-2-2-2-222000000000000000000000000000000000000-22-22-2-2220000000000000000
χ3122222222-2-22-2-22-2-2222-2-22-22-2-2-2-222-222-22-200000000-2-22222-2-20000000000000000000000000000000000002-22-2-2-2220000000000000000
χ3222222222-2-22-2-22-2-2222-2-22-22-2-2-2-222-222-22-200000000-2-22222-2-2000000000000000000000000000000000000-22-2222-2-20000000000000000
χ3322222222-2-2-22-2222-2-2-22-22-2-222-2-2222-2-2-2-2200000000000000002222-2-2-2-2000000002-2002-2000000000000002-2-2200000000000000000000
χ3422222222-2-2-22-2222-2-2-22-22-2-222-2-2222-2-2-2-2200000000000000002222-2-2-2-200000000-2200-2200000000000000-222-200000000000000000000
χ3522222222-2-2-22-2222-2-2-22-22-2-222-2-2222-2-2-2-220000000000000000-2-2-2-22222000000002-2002-200000000000000-222-200000000000000000000
χ3622222222-2-2-22-2222-2-2-22-22-2-222-2-2222-2-2-2-220000000000000000-2-2-2-2222200000000-2200-22000000000000002-2-2200000000000000000000
χ372222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2000022220000000022-2-222-2-20000-2-2-2-20000000000000000000000002-22-20000000000000000
χ382222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000222200000000-2-222-2-2220000-2-2-2-2000000000000000000000000-22-220000000000000000
χ392222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-20000000022-2-222-2-200002222000000000000000000000000-22-220000000000000000
χ402222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-200000000-2-222-2-222000022220000000000000000000000002-22-20000000000000000
χ412222-2-2-2-222-2-222-2-2-2-2-2-222-2222-2-2-2-2222-222000022-2-22-22-22-22-2000000000000-2-2222200-2-200000000000000000000000000000000000000
χ422222-2-2-2-222-2-222-2-2-2-2-2-222-2222-2-2-2-2222-222000022-2-2-22-22-22-22000000000000-2-222-2-2002200000000000000000000000000000000000000
χ432222-2-2-2-222-2-222-2-2-2-2-2-222-2222-2-2-2-2222-2220000-2-2222-22-22-22-200000000000022-2-2-2-2002200000000000000000000000000000000000000
χ442222-2-2-2-222-2-222-2-2-2-2-2-222-2222-2-2-2-2222-2220000-2-222-22-22-22-2200000000000022-2-22200-2-200000000000000000000000000000000000000
χ452222-2-2-2-222-2-2-2-22222-2-2-2-2-22222222-2-2-2-22-2000000002-22-2-22-22000000000000000000000000000000002i2i−2i−2i000000002i2i−2i−2i000000000000
χ462222-2-2-2-222-2-2-2-22222-2-2-2-2-22222222-2-2-2-22-2000000002-22-2-22-2200000000000000000000000000000000−2i−2i2i2i00000000−2i−2i2i2i000000000000
χ472222-2-2-2-222-2-2-2-22222-2-2-2-2-22222222-2-2-2-22-200000000-22-222-22-2000000000000000000000000000000002i2i−2i−2i00000000−2i−2i2i2i000000000000
χ482222-2-2-2-222-2-2-2-22222-2-2-2-2-22222222-2-2-2-22-200000000-22-222-22-200000000000000000000000000000000−2i−2i2i2i000000002i2i−2i−2i000000000000
χ492222-2-2-2-2-2-22-2-22-2-2222-2-222-22222-2-22-2-22-22222200000000000000000000-2-2-2-200002-200-220000000000000000002-2-220000000000000000
χ502222-2-2-2-2-2-22-2-22-2-2222-2-222-22222-2-22-2-22-22222200000000000000000000-2-2-2-20000-22002-2000000000000000000-222-20000000000000000
χ512222-2-2-2-2-2-22-2-22-2-2222-2-222-22222-2-22-2-22-22-2-2-2-200000000000000000000222200002-200-22000000000000000000-222-20000000000000000
χ522222-2-2-2-2-2-22-2-22-2-2222-2-222-22222-2-22-2-22-22-2-2-2-20000000000000000000022220000-22002-20000000000000000002-2-220000000000000000
χ532222-2-2-2-2-2-2-222-2-2-222-222-222-2-2-2-2222-2-2222000000002-2-222-2-220000000000000000002200-2-2000000000000000000000000000022-2-20000
χ542222-2-2-2-2-2-2-222-2-2-222-222-222-2-2-2-2222-2-2222000000002-2-222-2-22000000000000000000-2-200220000000000000000000000000000-2-2220000
χ552222-2-2-2-2-2-2-222-2-2-222-222-222-2-2-2-2222-2-222200000000-222-2-222-20000000000000000002200-2-20000000000000000000000000000-2-2220000
χ562222-2-2-2-2-2-2-222-2-2-222-222-222-2-2-2-2222-2-222200000000-222-2-222-2000000000000000000-2-20022000000000000000000000000000022-2-20000
χ572222-2-2-2-2-2-2-22-2222-2-2-22-2222-2-222-2-2-22222-222-2-200002-2-22-222-222-2-2-2-222-2-222000000000000000000000000000000000000000000000000
χ582222-2-2-2-2-2-2-22-2222-2-2-22-2222-2-222-2-2-22222-222-2-20000-222-22-2-22-2-22222-2-2-2-222000000000000000000000000000000000000000000000000
χ592222-2-2-2-2-2-2-22-2222-2-2-22-2222-2-222-2-2-22222-2-2-22200002-2-22-222-2-2-22222-2-222-2-2000000000000000000000000000000000000000000000000
χ602222-2-2-2-2-2-2-22-2222-2-2-22-2222-2-222-2-2-22222-2-2-2220000-222-22-2-2222-2-2-2-22222-2-2000000000000000000000000000000000000000000000000
χ612-2-2222-2-22-2222-22-22-2-2-2-22-222-22-22-222-22-2-22-22-2000000000000000000002-22-200000000000000002i−2i2i−2i000000000000000000002i−2i2i−2i0000
χ622-2-2222-2-22-2222-22-22-2-2-2-22-222-22-22-222-22-2-22-22-2000000000000000000002-22-20000000000000000−2i2i−2i2i00000000000000000000−2i2i−2i2i0000
χ632-2-2222-2-22-2222-22-22-2-2-2-22-222-22-22-222-22-2-2-22-2200000000000000000000-22-2200000000000000002i−2i2i−2i00000000000000000000−2i2i−2i2i0000
χ642-2-2222-2-22-2222-22-22-2-2-2-22-222-22-22-222-22-2-2-22-2200000000000000000000-22-220000000000000000−2i2i−2i2i000000000000000000002i−2i2i−2i0000
χ652-2-2222-2-22-222-22-22-22-2-22-2-222-2-22-22-2-222-2200000000000000002i−2i2i−2i2i−2i2i−2i00000000002-2002-200002i−2i−2i2i0000000000000000000000000000
χ662-2-2222-2-22-222-22-22-22-2-22-2-222-2-22-22-2-222-2200000000000000002i−2i2i−2i2i−2i2i−2i0000000000-2200-220000−2i2i2i−2i0000000000000000000000000000
χ672-2-2222-2-22-222-22-22-22-2-22-2-222-2-22-22-2-222-220000000000000000−2i2i−2i2i−2i2i−2i2i00000000002-2002-20000−2i2i2i−2i0000000000000000000000000000
χ682-2-2222-2-22-222-22-22-22-2-22-2-222-2-22-22-2-222-220000000000000000−2i2i−2i2i−2i2i−2i2i0000000000-2200-2200002i−2i−2i2i0000000000000000000000000000
χ692-2-2222-2-22-2-2-22-2-22-2222-22-2-2-222-22-2-2-222222-2-22000000000000000000002-2-22000000000000000000002-22-2000000000000000000002-22-2
χ702-2-2222-2-22-2-2-22-2-22-2222-22-2-2-222-22-2-2-222222-2-22000000000000000000002-2-2200000000000000000000-22-2200000000000000000000-22-22
χ712-2-2222-2-22-2-2-22-2-22-2222-22-2-2-222-22-2-2-22222-222-200000000000000000000-222-2000000000000000000002-22-200000000000000000000-22-22
χ722-2-2222-2-22-2-2-22-2-22-2222-22-2-2-222-22-2-2-22222-222-200000000000000000000-222-200000000000000000000-22-22000000000000000000002-22-2
χ732-2-2222-2-2-22-2222-222-22-2-2-22-22-22-2-22-22-2-22200000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000002i−2i2i−2i000000002-2-22
χ742-2-2222-2-2-22-2222-222-22-2-2-22-22-22-2-22-22-2-22200000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000−2i2i−2i2i00000000-222-2
χ752-2-2222-2-2-22-2222-222-22-2-2-22-22-22-2-22-22-2-2220000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000002i−2i2i−2i00000000-222-2
χ762-2-2222-2-2-22-2222-222-22-2-2-22-22-22-2-22-22-2-2220000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000−2i2i−2i2i000000002-2-22
χ772-2-22-2-2222-222-22-22-22-2-22-22-2-222-22-222-2-22-200000000000000002i−2i−2i2i2i−2i−2i2i00000000000000002-22-200002i−2i−2i2i000000000000000000000000
χ782-2-22-2-2222-222-22-22-22-2-22-22-2-222-22-222-2-22-200000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000-22-220000−2i2i2i−2i000000000000000000000000
χ792-2-22-2-2222-222-22-22-22-2-22-22-2-222-22-222-2-22-20000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000002-22-20000−2i2i2i−2i000000000000000000000000
χ802-2-22-2-2222-222-22-22-22-2-22-22-2-222-22-222-2-22-20000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000-22-2200002i−2i−2i2i000000000000000000000000
χ812-2-22-2-222-222-2-2-2-222-2-2222-2-22-22-2-222-2222-22-22-200000000000000000000-22-220000000000002-2-220000000000000000-222-2000000000000
χ822-2-22-2-222-222-2-2-2-222-2-2222-2-22-22-2-222-2222-22-22-200000000000000000000-22-22000000000000-222-200000000000000002-2-22000000000000
χ832-2-22-2-222-222-2-2-2-222-2-2222-2-22-22-2-222-2222-2-22-22000000000000000000002-22-20000000000002-2-2200000000000000002-2-22000000000000
χ842-2-22-2-222-222-2-2-2-222-2-2222-2-22-22-2-222-2222-2-22-22000000000000000000002-22-2000000000000-222-20000000000000000-222-2000000000000
χ852-2-22-2-222-22-2222-222-22-2-2-2-22-22-222-22-222-2-200000000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000000000002-22-22i−2i−2i2i0000
χ862-2-22-2-222-22-2222-222-22-2-2-2-22-22-222-22-222-2-200000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000000000-22-22−2i2i2i−2i0000
χ872-2-22-2-222-22-2222-222-22-2-2-2-22-22-222-22-222-2-20000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000000000002-22-2−2i2i2i−2i0000
χ882-2-22-2-222-22-2222-222-22-2-2-2-22-22-222-22-222-2-20000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000-22-222i−2i−2i2i0000
χ892-2-22-2-222-22-22-2-22-2-222-222-22-222-2-22-22-22-222-2-2200000000000000000000-222-20000002-200-220000000000000000000000002-2-2200000000
χ902-2-22-2-222-22-22-2-22-2-222-222-22-222-2-22-22-22-222-2-2200000000000000000000-222-2000000-22002-2000000000000000000000000-222-200000000
χ912-2-22-2-222-22-22-2-22-2-222-222-22-222-2-22-22-22-22-222-2000000000000000000002-2-220000002-200-22000000000000000000000000-222-200000000
χ922-2-22-2-222-22-22-2-22-2-222-222-22-222-2-22-22-22-22-222-2000000000000000000002-2-22000000-22002-20000000000000000000000002-2-2200000000
χ934444444444-4-4-4-44444-4-4-4-44-4-4-4-4-4-4-44444-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ9444444444-4-4-444-4-4-444-444-4-4-44444-4-4-444-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ954444-4-4-4-44444-4-4-4-4-4-444-4-4-4-4-4-44444444-4-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ964444-4-4-4-4-4-44-44-444-4-44-44-44-444-4-444-4444-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ974-4-4444-4-44-4-4-4-444-44-4444-4-4-4-44-44-4444-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ984-4-4444-4-4-444-4444-4-44-44-4-444-444-4-444-44-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ994-4-4444-4-4-444-4-4-4-444-4-444444-44-444-4-44-4-4-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1004-4-4444-4-4-44-44-4-44-4-444-4444-44-4-444-44-44-44-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-4-4444-4444-44-44-4-4-4-444-4-44-44-44-4-44-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-44-4-4444-4-4-44-4-44-4444-44444-4-44-4444-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-44-4-4444-4-4-4-444-44-4444-4444-44-44-4-4-44-4-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-44-4-444-444-4444-4-44-44-4-4-4-44-4-444-4-44-44440000000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-88i−8i8i−8i00000000000000000000000000000000004-400000000000000000000004i−4i00000000000000000000000000000000000000000000
χ10688-8-88i−8i8i−8i0000000000000000000000000000000000-440000000000000000000000−4i4i00000000000000000000000000000000000000000000
χ10788-8-8−8i8i−8i8i00000000000000000000000000000000004-40000000000000000000000−4i4i00000000000000000000000000000000000000000000
χ10888-8-8−8i8i−8i8i0000000000000000000000000000000000-4400000000000000000000004i−4i00000000000000000000000000000000000000000000
χ1098-88-88i−8i−8i8i000000000000000000000000000000004-400000000000000000000004i−4i0000000000000000000000000000000000000000000000
χ1108-88-88i−8i−8i8i00000000000000000000000000000000-440000000000000000000000−4i4i0000000000000000000000000000000000000000000000
χ1118-88-8−8i8i8i−8i000000000000000000000000000000004-40000000000000000000000−4i4i0000000000000000000000000000000000000000000000
χ1128-88-8−8i8i8i−8i00000000000000000000000000000000-4400000000000000000000004i−4i0000000000000000000000000000000000000000000000

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