Finite Group Databasebeta

← Group #72262332

Character table — Group #72262332

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97
size111122222244444444444444444444444444448888881616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616
order1222222222222222222222222244444444444422224422224444444444444444444444444444444448888888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-11-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ511111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ811111111111111111111111111111111111111-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ9111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-111-11-1-1111-1-111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i
χ10111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-111-11-1-1111-1-111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii
χ11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-11-11-1-1-1-11111-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii
χ12111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-11-11-1-1-1-11111-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-11111-1111-1-111-1-111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii
χ14111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-11111-1111-1-111-1-111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11-11-111-1-1-1-1111111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ16111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11-11-111-1-1-1-1111111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ1711111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111-11-1111-1-1-1-1-1-1-1-11111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ1811111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111-11-1111-1-1-1-1-1-1-1-11111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ1911111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-1-11-1-1-1-111111-1-111-1-111ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii
χ2011111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-1-11-1-1-1-111111-1-111-1-111−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i
χ2111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-111-1-1-1-11-1111111-1-111-1-1ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii
χ2211111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-111-1-1-1-11-1111111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i
χ2311111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11-1111111-1-1-1-111-1-1-1-111ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i
χ2411111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11-1111111-1-1-1-111-1-1-1-111−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii
χ2511111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-11-11-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ2611111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-11-11-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ2711111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-111-111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ2811111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-111-111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111
χ2911111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-11-11-1-111-1-11111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1
χ3011111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-11-11-1-111-1-11111-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111
χ3111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-11-11-1-11-1-111111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111
χ3211111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-11-11-1-11-1-111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ332222222222-2-2-2-222-2-222-2-2222222-2-222-2-2-2-2-2-2220000-2200000-2000002-22-2000000000000000000000000000000000000
χ342222222222-2-2-2-222-2-222-2-2222222-2-222-2-2-2-2-2-2-2-200002-200000200000-22-22000000000000000000000000000000000000
χ352222222222-2-2-2-222-2-2-2-222-2-2-2-222-2-2-2-2222222220000-2-2000002000002-2-22000000000000000000000000000000000000
χ362222222222-2-2-2-222-2-2-2-222-2-2-2-222-2-2-2-2222222-2-200002200000-200000-222-2000000000000000000000000000000000000
χ372222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-22222220000-2-200000200000-222-2000000000000000000000000000000000000
χ382222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-22222-2-200002200000-2000002-2-22000000000000000000000000000000000000
χ392222222222-2-2-2-2-2-222-2-2222222-2-222-2-222-2-2-2-2220000-2200000-200000-22-22000000000000000000000000000000000000
χ402222222222-2-2-2-2-2-222-2-2222222-2-222-2-222-2-2-2-2-2-200002-2000002000002-22-2000000000000000000000000000000000000
χ412222-2-2-2-22222-2-2222222-2-22-22-2-2-2-2-2-2-2222-22-200220000-220000-2000000002-22-200000000000000000000000000000000
χ422222-2-2-2-22222-2-2222222-2-22-22-2-2-2-2-2-2-2222-22-200-2-200002-20000200000000-22-2200000000000000000000000000000000
χ432222-2-2-2-22222-2-22222-2-222-22-22-2-2-2-222-2-2-22-2200220000-220000-200000000-22-2200000000000000000000000000000000
χ442222-2-2-2-22222-2-22222-2-222-22-22-2-2-2-222-2-2-22-2200-2-200002-200002000000002-22-200000000000000000000000000000000
χ452222-2-2-2-22222-2-2-2-2-2-222-2-2-22-222222-2-222-22-2200220000-2-200002000000002-2-2200000000000000000000000000000000
χ462222-2-2-2-22222-2-2-2-2-2-222-2-2-22-222222-2-222-22-2200-2-20000220000-200000000-222-200000000000000000000000000000000
χ472222-2-2-2-22222-2-2-2-2-2-2-2-2222-22-2222222-2-22-22-200220000-2-20000200000000-222-200000000000000000000000000000000
χ482222-2-2-2-22222-2-2-2-2-2-2-2-2222-22-2222222-2-22-22-200-2-20000220000-2000000002-2-2200000000000000000000000000000000
χ492222-2-2-2-222-2-22222-2-222222-22-2-2-222-2-2-2-2-22-220000220000-2-22002-22-20000000000000000000000000000000000000000
χ502222-2-2-2-222-2-22222-2-222222-22-2-2-222-2-2-2-2-22-220000-2-2000022-200-22-220000000000000000000000000000000000000000
χ512222-2-2-2-222-2-22222-2-2-2-2-2-2-22-22-2-22222222-22-200002200002-2-2002-2-220000000000000000000000000000000000000000
χ522222-2-2-2-222-2-22222-2-2-2-2-2-2-22-22-2-22222222-22-20000-2-20000-22200-222-20000000000000000000000000000000000000000
χ532222-2-2-2-222-2-222-2-2222222-22-2222-2-2-2-2-2-22-22-20000220000-2-2200-22-220000000000000000000000000000000000000000
χ542222-2-2-2-222-2-222-2-2222222-22-2222-2-2-2-2-2-22-22-20000-2-2000022-2002-22-20000000000000000000000000000000000000000
χ552222-2-2-2-222-2-222-2-222-2-2-2-22-22-222-2-22222-22-2200002200002-2-200-222-20000000000000000000000000000000000000000
χ562222-2-2-2-222-2-222-2-222-2-2-2-22-22-222-2-22222-22-220000-2-20000-222002-2-220000000000000000000000000000000000000000
χ572-2-2222-2-2-222-22-22-22-22-22-222-2-22-22-22-22-22-2-220000000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ582-2-2222-2-2-222-22-22-22-22-22-222-2-22-22-22-22-22-2-22000000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ592-2-2222-2-2-222-22-22-22-2-22-22-2-2222-22-2-22-22-222-20000000000000000000000000002-22-2-22-22000000000000000000000000
χ602-2-2222-2-2-222-22-22-22-2-22-22-2-2222-22-2-22-22-222-2000000000000000000000000000-22-222-22-2000000000000000000000000
χ612-2-2222-2-2-222-22-2-22-222-22-2-2-222-22-222-22-2-222-20000000000000000000000000002-2-222-2-22000000000000000000000000
χ622-2-2222-2-2-222-22-2-22-222-22-2-2-222-22-222-22-2-222-2000000000000000000000000000-222-2-222-2000000000000000000000000
χ632-2-2222-2-2-222-22-2-22-22-22-2222-2-2-22-22-22-222-2-220000000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ642-2-2222-2-2-222-22-2-22-22-22-2222-2-2-22-22-22-222-2-22000000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ652-2-2222-2-2-22-22-222-2-222-2-2222-2-22-2-222-2-22-222-2000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ662-2-2222-2-2-22-22-222-2-222-2-2222-2-22-2-222-2-22-222-200000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ672-2-2222-2-2-22-22-222-2-22-222-2-2-2222-2-22-222-22-2-22000000000000000000000000000000000002-22-2-22-220000000000000000
χ682-2-2222-2-2-22-22-222-2-22-222-2-2-2222-2-22-222-22-2-2200000000000000000000000000000000000-22-222-22-20000000000000000
χ692-2-2222-2-2-22-22-22-222-22-2-22-2-222-222-22-2-222-2-22000000000000000000000000000000000002-2-222-2-220000000000000000
χ702-2-2222-2-2-22-22-22-222-22-2-22-2-222-222-22-2-222-2-2200000000000000000000000000000000000-222-2-222-20000000000000000
χ712-2-2222-2-2-22-22-22-222-2-222-222-2-2-222-2-222-2-222-2000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ722-2-2222-2-2-22-22-22-222-2-222-222-2-2-222-2-222-2-222-200000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ732-2-22-2-222-222-2-222-22-22-2-222-2-22-22-22-222-222-2-200000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000
χ742-2-22-2-222-222-2-222-22-22-2-222-2-22-22-22-222-222-2-20000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000
χ752-2-22-2-222-222-2-222-22-2-222-2-222-2-22-222-2-22-2-22200000000000000000000000000000000000000000002-22-2-22-2200000000
χ762-2-22-2-222-222-2-222-22-2-222-2-222-2-22-222-2-22-2-2220000000000000000000000000000000000000000000-22-222-22-200000000
χ772-2-22-2-222-222-2-22-22-222-2-22-222-22-22-2-222-2-2-22200000000000000000000000000000000000000000002-2-222-2-2200000000
χ782-2-22-2-222-222-2-22-22-222-2-22-222-22-22-2-222-2-2-2220000000000000000000000000000000000000000000-222-2-222-200000000
χ792-2-22-2-222-222-2-22-22-22-222-22-2-222-22-22-2-2222-2-200000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ802-2-22-2-222-222-2-22-22-22-222-22-2-222-22-22-2-2222-2-20000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ812-2-22-2-222-22-222-22-2-222-22-22-2-22-222-2-22-22-2-2220000000000000000000000000000000000000000000000000002-22-22-22-2
χ822-2-22-2-222-22-222-22-2-222-22-22-2-22-222-2-22-22-2-222000000000000000000000000000000000000000000000000000-22-22-22-22
χ832-2-22-2-222-22-222-22-2-22-22-22-222-2-222-22-22-222-2-20000000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i
χ842-2-22-2-222-22-222-22-2-22-22-22-222-2-222-22-22-222-2-2000000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i
χ852-2-22-2-222-22-222-2-222-22-22-2-222-22-2-22-22-2222-2-20000000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i
χ862-2-22-2-222-22-222-2-222-22-22-2-222-22-2-22-22-2222-2-2000000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i
χ872-2-22-2-222-22-222-2-222-2-22-222-2-222-2-222-22-2-2-2220000000000000000000000000000000000000000000000000002-2-22-222-2
χ882-2-22-2-222-22-222-2-222-2-22-222-2-222-2-222-22-2-2-222000000000000000000000000000000000000000000000000000-222-22-2-22
χ8988888-88-8-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ908888-88-88-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-800000000000000000000000000000000004-44-44-400000000000000000000000000000000000000000000000000000
χ928-88-800000000000000000000000000000000004-4-44-4400000000000000000000000000000000000000000000000000000
χ938-88-80000000000000000000000000000000000-444-4-4400000000000000000000000000000000000000000000000000000
χ948-88-80000000000000000000000000000000000-44-444-400000000000000000000000000000000000000000000000000000
χ958-8-888-8-888-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ968-8-88-888-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ971616-16-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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