Finite Group Databasebeta

← Group #72312727

Character table — Group #72312727

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size111122222244444444444444444444444444448888888888888888888888888888888888888888888888881616161616161616323232323232323232323232
order1222222222222222222222224444444444444422222222222444444444444444444444444444444444444422444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-1
χ6111111111111111111-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111
χ7111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-111
χ8111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-111-1-1
χ911111111111111-1-1-1-111111111111111-1-1-1-111-1-1111-1-111-1-1111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ1011111111111111-1-1-1-111111111111111-1-1-1-111-1-1111-1-111-1-1111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1111111111111111-1-1-1-11111111111-1-1-1-1111111-1-1111-1-1-1-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ1211111111111111-1-1-1-11111111111-1-1-1-1111111-1-1111-1-1-1-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1311111111111111-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-111-1-111-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111
χ1411111111111111-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-111-1-111-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1
χ1511111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1
χ1611111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111
χ1711111-1-1-1-11-1-1-1-11111111111-1-1-1-11111111111-1-111-111-1-1-1-11-1-1-1-1-1-111-1-1111111-1-111-1-111-1-1-1-111-1-111-1-11-111-1-11-11-11-11-11-11-11-1
χ1811111-1-1-1-11-1-1-1-11111111111-1-1-1-11111111111-1-111-111-1-1-1-11-1-1-1-1-1-111-1-1111111-1-111-1-111-1-1-1-111-1-111-1-1-11-1-111-11-11-11-11-11-11-11
χ1911111-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11111111-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-11111-1-111-1-1111-111-1-11-11-11-1-11-11-11-11
χ2011111-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11111111-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-11111-1-111-1-111-11-1-111-11-11-111-11-11-11-1
χ2111111-1-1-1-11-1-1-1-11111-1-11111-1-1111111111111-1-1-1-11-1-11111-11111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1111-1-1-1111-11-1-111-1-111-1-11
χ2211111-1-1-1-11-1-1-1-11111-1-11111-1-1111111111111-1-1-1-11-1-11111-11111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1111-1-1-11-111-1-111-1-111-1
χ2311111-1-1-1-11-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1111111-1-111111111-1-1-1-111-1-1111111-1-111-1-11-1-1-1111-11-1-11-111-1-111-1
χ2411111-1-1-1-11-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1111111-1-111111111-1-1-1-111-1-1111111-1-111-1-1-1111-1-1-11-111-11-1-111-1-11
χ2511111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-1111-111-1-11-1-11-111-11-1-11-11
χ2611111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-111-11-1-111-111-11-1-11-111-11-1
χ2711111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-111-1-11-1-1111111-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-11-111-1-11-1-11-11-11-111-11-1
χ2811111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-111-1-11-1-1111111-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-11-1-111-111-11-11-11-1-11-11
χ2911111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-111111-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-11111-1-11-1-1-1111-1-111-11-1-11-111-1
χ3011111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-111111-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-11111-1-1-1111-1-1-111-1-11-111-11-1-11
χ3111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1111-1-111-111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1111-1-1-1111-1-111-1-111-11-1-11
χ3211111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1111-1-111-111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1111-1-1-111-1-111-1-11-111-1
χ33222222222222-2-200002222-2-2-2-22222220000-2-2002-2-2002200-22-200220000220000000000-2-2-2-200-2-2-2-2000000000000000000000000
χ34222222222222-2-200002222-2-2-2-222-2-2-2-20000-2-2002-2-200-2-200-22-200-2-20000-2-200000000002222002222000000000000000000000000
χ35222222222222-2-20000-2-222-2-2-2-2-2-222220000-2-200-22200-2-2002-2200220000-2-20000000000-2-2-2-2002222000000000000000000000000
χ36222222222222-2-20000-2-222-2-2-2-2-2-2-2-2-2-20000-2-200-2220022002-2200-2-20000220000000000222200-2-2-2-2000000000000000000000000
χ372222222222-2-222222222-2-222-2-22200000000-2-222-22-2220000-2-22220000000000-2-2-2-2-2-2-2-20000000000000000000000000000000000
χ382222222222-2-2222222-2-2-2-222-2-2-2-200000000-2-2222-22-2-2000022-2-2-20000000000-2-2-2-222220000000000000000000000000000000000
χ392222222222-2-222-2-2-2-222-2-222-2-22200000000-2-2-2-2-22-2-2-20000-2-22-2-20000000000222222220000000000000000000000000000000000
χ402222222222-2-222-2-2-2-2-2-2-2-222-2-2-2-200000000-2-2-2-22-2222000022-22200000000002222-2-2-2-20000000000000000000000000000000000
χ412222222222-2-2-2-2000022-2-2-2-22222000022222200-2-220000-2-22-2-20000-2-2-2-200-2-2000000000000220000222200000000000000000000
χ422222222222-2-2-2-2000022-2-2-2-222220000-2-2-2-22200-2-220000222-2-2000022220022000000000000-2-20000-2-2-2-200000000000000000000
χ432222222222-2-2-2-20000-2-2-2-2-2-222-2-200002222220022-2000022-2220000-2-2-2-20022000000000000220000-2-2-2-200000000000000000000
χ442222222222-2-2-2-20000-2-2-2-2-2-222-2-20000-2-2-2-2220022-20000-2-2-2220000222200-2-2000000000000-2-20000222200000000000000000000
χ4522222-2-2-2-222222000022-2-2-2-2-2-2-2-2000022222200-2-2-20000222220000-2-22200-2-2000000000000-2-2000022-2-200000000000000000000
χ4622222-2-2-2-222222000022-2-2-2-2-2-2-2-20000-2-2-2-22200-2-2-20000-2-2222000022-2-20022000000000000220000-2-22200000000000000000000
χ4722222-2-2-2-2222220000-2-2-2-2-2-2-2-2220000222222002220000-2-2-2-2-20000-2-2220022000000000000-2-20000-2-22200000000000000000000
χ4822222-2-2-2-2222220000-2-2-2-2-2-2-2-2220000-2-2-2-22200222000022-2-2-2000022-2-200-2-200000000000022000022-2-200000000000000000000
χ4922222-2-2-2-2222-2-2222222-2-22222-2-200000000-2-2-2-2-222220000-22-2-2-20000000000-2-222-2-2220000000000000000000000000000000000
χ5022222-2-2-2-2222-2-22222-2-2-2-222222200000000-2-2-2-22-2-2-2-200002-22220000000000-2-22222-2-20000000000000000000000000000000000
χ5122222-2-2-2-2222-2-2-2-2-2-222-2-22222-2-200000000-2-222-222-2-20000-22-222000000000022-2-222-2-20000000000000000000000000000000000
χ5222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-222222200000000-2-2222-2-22200002-22-2-2000000000022-2-2-2-2220000000000000000000000000000000000
χ5322222-2-2-2-22-2-22200002222-2-222-2-222220000-2-2002-2200-2-200-2-2200-2-20000220000000000-2-22200-2-222000000000000000000000000
χ5422222-2-2-2-22-2-22200002222-2-222-2-2-2-2-2-20000-2-2002-22002200-2-2200220000-2-2000000000022-2-20022-2-2000000000000000000000000
χ5522222-2-2-2-22-2-2220000-2-222-2-2222222220000-2-200-22-200220022-200-2-20000-2-20000000000-2-2220022-2-2000000000000000000000000
χ5622222-2-2-2-22-2-2220000-2-222-2-22222-2-2-2-20000-2-200-22-200-2-20022-20022000022000000000022-2-200-2-222000000000000000000000000
χ572-2-22-222-2-222-22-20000002-22-22-200000022-2-22-2000002-22-2000002-2002-22-22-20000002-22-200002-22-22-2000000000000000000000000
χ582-2-22-222-2-222-22-20000002-22-22-200000022-2-22-200000-22-2200000-22002-22-2-22000000-22-2200002-2-22-22000000000000000000000000
χ592-2-22-222-2-222-22-20000002-22-22-2000000-2-2222-2000002-2-22000002-200-22-22-220000002-22-20000-22-22-22000000000000000000000000
χ602-2-22-222-2-222-22-20000002-22-22-2000000-2-2222-200000-222-200000-2200-22-222-2000000-22-220000-222-22-2000000000000000000000000
χ612-2-22-222-2-222-2-2222-2-2002-2-22-220000000000-222-2000002-22-2000000000002-22-22-22-20000000000-22-222-22-200000000000000000000
χ622-2-22-222-2-222-2-2222-2-2002-2-22-220000000000-222-200000-22-2200000000000-22-222-22-200000000002-22-2-22-2200000000000000000000
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χ642-2-22-222-2-222-2-22-2-222002-2-22-220000000000-22-2200000-222-200000000000-222-2-22-2200000000002-22-22-22-200000000000000000000
χ652-2-22-222-2-22-222-2000000-222-2-220022-2-20000-22000002-2002-20002-22-20000002-20000-22-222-22-2000000-22-2200000000000000000000
χ662-2-22-222-2-22-222-2000000-222-2-220022-2-20000-2200000-2200-22000-222-2000000-2200002-22-22-22-20000002-22-200000000000000000000
χ672-2-22-222-2-22-222-2000000-222-2-2200-2-2220000-22000002-200-220002-2-22000000-220000-22-22-22-220000002-22-200000000000000000000
χ682-2-22-222-2-22-222-2000000-222-2-2200-2-2220000-2200000-22002-2000-22-220000002-200002-22-2-22-22000000-22-2200000000000000000000
χ692-2-22-222-2-22-22-2222-2-200-22-222-20022-2-2-2-2222-22-2000000000000002-22-22-20000-22-220000-22-22-220000000000000000000000000000
χ702-2-22-222-2-22-22-2222-2-200-22-222-200-2-22222-2-22-22-200000000000000-22-22-220000-22-2200002-22-22-20000000000000000000000000000
χ712-2-22-222-2-22-22-22-2-22200-22-222-20022-2-222-2-22-2-22000000000000002-2-22-2200002-22-20000-22-222-20000000000000000000000000000
χ722-2-22-222-2-22-22-22-2-22200-22-222-200-2-222-2-2222-2-2200000000000000-222-22-200002-22-200002-22-2-220000000000000000000000000000
χ732-2-22-2-2-22222-22-222-2-200-22-22-220022-2-2-2-2222-2-2200000000000000-222-2-220000-222-20000-222-22-20000000000000000000000000000
χ742-2-22-2-2-22222-22-222-2-200-22-22-2200-2-22222-2-22-2-22000000000000002-2-222-20000-222-200002-2-22-220000000000000000000000000000
χ752-2-22-2-2-22222-22-2-2-22200-22-22-220022-2-222-2-22-22-200000000000000-22-222-200002-2-220000-222-2-220000000000000000000000000000
χ762-2-22-2-2-22222-22-2-2-22200-22-22-2200-2-222-2-2222-22-2000000000000002-22-2-2200002-2-2200002-2-222-20000000000000000000000000000
χ772-2-22-2-2-22222-2-22000000-222-22-20022-2-20000-22000002-200-22000-22-220000002-20000-222-22-2-22000000-222-200000000000000000000
χ782-2-22-2-2-22222-2-22000000-222-22-20022-2-20000-2200000-22002-20002-2-22000000-2200002-2-222-2-220000002-2-2200000000000000000000
χ792-2-22-2-2-22222-2-22000000-222-22-200-2-2220000-22000002-2002-2000-222-2000000-220000-222-2-222-20000002-2-2200000000000000000000
χ802-2-22-2-2-22222-2-22000000-222-22-200-2-2220000-2200000-2200-220002-22-20000002-200002-2-22-222-2000000-222-200000000000000000000
χ812-2-22-2-2-2222-222-222-2-2002-2-222-20000000000-22-22000002-22-200000000000-22-222-2-2200000000002-2-22-222-200000000000000000000
χ822-2-22-2-2-2222-222-222-2-2002-2-222-20000000000-22-2200000-22-22000000000002-22-22-2-220000000000-222-22-2-2200000000000000000000
χ832-2-22-2-2-2222-222-2-2-222002-2-222-20000000000-222-2000002-2-2200000000000-222-2-222-200000000002-2-222-2-2200000000000000000000
χ842-2-22-2-2-2222-222-2-2-222002-2-222-20000000000-222-200000-222-2000000000002-2-22-222-20000000000-222-2-222-200000000000000000000
χ852-2-22-2-2-2222-22-220000002-22-2-2200000022-2-22-2000002-2-2200000-22002-2-222-20000002-2-220000-222-2-22000000000000000000000000
χ862-2-22-2-2-2222-22-220000002-22-2-2200000022-2-22-200000-222-2000002-2002-2-22-22000000-222-20000-22-222-2000000000000000000000000
χ872-2-22-2-2-2222-22-220000002-22-2-22000000-2-2222-2000002-22-200000-2200-222-2-220000002-2-2200002-2-222-2000000000000000000000000
χ882-2-22-2-2-2222-22-220000002-22-2-22000000-2-2222-200000-22-22000002-200-222-22-2000000-222-200002-22-2-22000000000000000000000000
χ894444-44-44-4-4000000004-40000004-40000000000000000000000000000000000000000000000000000000000222-22-2-2-2000000000000
χ904444-44-44-4-4000000004-40000004-40000000000000000000000000000000000000000000000000000000000-2-2-22-2222000000000000
χ914444-44-44-4-400000000-44000000-44000000000000000000000000000000000000000000000000000000000022-22-22-2-2000000000000
χ924444-44-44-4-400000000-44000000-440000000000000000000000000000000000000000000000000000000000-2-22-22-222000000000000
χ934444-4-44-44-4000000004-4000000-4400000000000000000000000000000000000000000000000000000000002-22-2-22-22000000000000
χ944444-4-44-44-4000000004-4000000-440000000000000000000000000000000000000000000000000000000000-22-222-22-2000000000000
χ954444-4-44-44-400000000-440000004-400000000000000000000000000000000000000000000000000000000002-2-222-2-22000000000000
χ964444-4-44-44-400000000-440000004-40000000000000000000000000000000000000000000000000000000000-222-2-222-2000000000000
χ9788-8-800000000004-44-400000000004i−4i4i−4i4i−4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800000000004-44-40000000000−4i4i−4i4i−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-80000000000-44-4400000000004i−4i4i−4i−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-80000000000-44-440000000000−4i4i−4i4i4i−4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800000000004-4-4400000000004i−4i−4i4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800000000004-4-440000000000−4i4i4i−4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-80000000000-444-400000000004i−4i−4i4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-80000000000-444-40000000000−4i4i4i−4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-8888-8-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-888-888-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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