Finite Group Databasebeta

← Group #72338515

Character table — Group #72338515

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size1122222222222222244444444444444444488888888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161632323232
order1222222224444444422222222444444444422222222222222444444444444444448888222444444444448888888888888888884488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111111111111-1-11111-1-111111111-1-111111111-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ6111111111111111111111111111111111-1-11111-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-11111
χ8111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111111-1-111-1-1-1-1
χ9111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ10111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1
χ11111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1
χ12111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111
χ13111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ14111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-11111111111-1-1-1-111
χ15111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-111-1-111
χ16111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ1711111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-111111111111-1-11111-1-111-1-1-1-11111-1-111-1-111-1-1-1-1-1-11-11-1
χ1811111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1111111-11-11
χ1911111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111111111111-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-11-11
χ2011111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-11111-1-111111-11-1
χ2111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1-11111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-11-11
χ2211111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-11111-1-11-11-1
χ2311111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-11111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-1111-11-1
χ2411111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-111-1-111-1-1-11-11
χ2511111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-111-1
χ2611111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1-1-111111-1-1-1-1111111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-11-1-11
χ2711111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-11111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111-1-11
χ2811111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1111-1-1-1-1111111-1-111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-111-1
χ2911111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-11111-1-1-1-11111-1-11-1-11
χ3011111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-111-111-1
χ3111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-111-1-1-111-1
χ3211111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-1-1-111-1-111-1-1111-1-11
χ332222-22-2-2-2222-22-2-2-2000022-2-2000022-2-200000000002-2002200002-200-2-20002i2i−2i−2i2i2i−2i−2i0000002i−2i0000000000000000002i−2i00000000
χ342222-22-2-2-2222-22-2-2-2000022-2-2000022-2-200000000002-2002200002-200-2-2000−2i−2i2i2i−2i−2i2i2i000000−2i2i000000000000000000−2i2i00000000
χ352222-22-2-2-2222-22-2-2-2000022-2-2000022-2-20000000000-2200-2-20000-2200220002i2i−2i−2i2i2i−2i−2i000000−2i2i000000000000000000−2i2i00000000
χ362222-22-2-2-2222-22-2-2-2000022-2-2000022-2-20000000000-2200-2-20000-220022000−2i−2i2i2i−2i−2i2i2i0000002i−2i0000000000000000002i−2i00000000
χ372222-22-2-2-2222-22-2-2-20000-2-2220000-2-22200000000002-200-2-200002-200220002i2i−2i−2i−2i−2i2i2i0000002i−2i000000000000000000−2i2i00000000
χ382222-22-2-2-2222-22-2-2-20000-2-2220000-2-22200000000002-200-2-200002-20022000−2i−2i2i2i2i2i−2i−2i000000−2i2i0000000000000000002i−2i00000000
χ392222-22-2-2-2222-22-2-2-20000-2-2220000-2-2220000000000-2200220000-2200-2-20002i2i−2i−2i−2i−2i2i2i000000−2i2i0000000000000000002i−2i00000000
χ402222-22-2-2-2222-22-2-2-20000-2-2220000-2-2220000000000-2200220000-2200-2-2000−2i−2i2i2i2i2i−2i−2i0000002i−2i000000000000000000−2i2i00000000
χ41222-22-22-2-222-22-22-2-2000022-2-20000-2-222000000002-2002200002-200-2-2000002i−2i2i−2i2i−2i2i−2i00002i−2i0000000000000000002i−2i0000000000
χ42222-22-22-2-222-22-22-2-2000022-2-20000-2-222000000002-2002200002-200-2-200000−2i2i−2i2i−2i2i−2i2i0000−2i2i000000000000000000−2i2i0000000000
χ43222-22-22-2-222-22-22-2-2000022-2-20000-2-22200000000-2200-2-20000-220022000002i−2i2i−2i2i−2i2i−2i0000−2i2i000000000000000000−2i2i0000000000
χ44222-22-22-2-222-22-22-2-2000022-2-20000-2-22200000000-2200-2-20000-22002200000−2i2i−2i2i−2i2i−2i2i00002i−2i0000000000000000002i−2i0000000000
χ45222-22-22-2-222-22-22-2-20000-2-222000022-2-2000000002-200-2-200002-20022000002i−2i2i−2i−2i2i−2i2i00002i−2i000000000000000000−2i2i0000000000
χ46222-22-22-2-222-22-22-2-20000-2-222000022-2-2000000002-200-2-200002-2002200000−2i2i−2i2i2i−2i2i−2i0000−2i2i0000000000000000002i−2i0000000000
χ47222-22-22-2-222-22-22-2-20000-2-222000022-2-200000000-2200220000-2200-2-2000002i−2i2i−2i−2i2i−2i2i0000−2i2i0000000000000000002i−2i0000000000
χ48222-22-22-2-222-22-22-2-20000-2-222000022-2-200000000-2200220000-2200-2-200000−2i2i−2i2i2i−2i2i−2i00002i−2i000000000000000000−2i2i0000000000
χ49222-2-2-2-22222-2-2-2-22222-2-2222222-2-2-2-2-2-20022-2-2000000000000000000000002-2-222-2-2200000000002-200000000000000002-2000000
χ50222-2-2-2-22222-2-2-2-22222-2-2222222-2-2-2-2-2-20022-2-200000000000000000000000-222-2-222-20000000000-220000000000000000-22000000
χ51222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-222-2-2222200-2-222000000000000000000000002-2-22-222-200000000002-20000000000000000-22000000
χ52222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-222-2-2222200-2-22200000000000000000000000-222-22-2-220000000000-2200000000000000002-2000000
χ53222-2-2-2-22222-2-2-2-222-2-2222222-2-222-2-2-2-200-2-222000000000000000000000002-2-222-2-220000000000-220000000000000000-22000000
χ54222-2-2-2-22222-2-2-2-222-2-2222222-2-222-2-2-2-200-2-22200000000000000000000000-222-2-222-200000000002-200000000000000002-2000000
χ55222-2-2-2-22222-2-2-2-222-2-222-2-2-2-2-2-22222220022-2-2000000000000000000000002-2-22-222-20000000000-2200000000000000002-2000000
χ56222-2-2-2-22222-2-2-2-222-2-222-2-2-2-2-2-22222220022-2-200000000000000000000000-222-22-2-2200000000002-20000000000000000-22000000
χ57222-2-2-2-222-2-22222-2-222220000-2-2-2-20000220000222-22-20000-2-2-22-2200002-2-20000000000000000000000002-22-20000000000000000
χ58222-2-2-2-222-2-22222-2-222220000-2-2-2-2000022000022-22-220000-2-22-22-200002-2-2000000000000000000000000-22-220000000000000000
χ59222-2-2-2-222-2-22222-2-222220000-2-2-2-20000-2-20000-2-22-22-2000022-22-220000-222000000000000000000000000-22-220000000000000000
χ60222-2-2-2-222-2-22222-2-222220000-2-2-2-20000-2-20000-2-2-22-220000222-22-20000-2220000000000000000000000002-22-20000000000000000
χ61222-2-2-2-222-2-22222-2-2-2-2-2-2000022220000220000-2-22-2-22000022-222-200002-2-20000000000000000000000002-2-220000000000000000
χ62222-2-2-2-222-2-22222-2-2-2-2-2-2000022220000220000-2-2-222-20000222-2-2200002-2-2000000000000000000000000-222-20000000000000000
χ63222-2-2-2-222-2-22222-2-2-2-2-2-2000022220000-2-20000222-2-220000-2-2-222-20000-222000000000000000000000000-222-20000000000000000
χ64222-2-2-2-222-2-22222-2-2-2-2-2-2000022220000-2-2000022-222-20000-2-22-2-220000-2220000000000000000000000002-2-220000000000000000
χ6522-222-2-2-22-22-2-222-222-22-22-22-22-22-22-22-2222-22-22-2000000002-200000000-22-2000000002-20000002-200000000000000000000000000
χ6622-222-2-2-22-22-2-222-222-22-22-22-22-22-22-22-2-2-22-22-2-2200000000-22000000002-2200000000-22000000-2200000000000000000000000000
χ6722-222-2-2-22-22-2-222-222-22-2-22-222-22-2-22-2222-22-222-2000000002-200000000-22-200000000-22000000-2200000000000000000000000000
χ6822-222-2-2-22-22-2-222-222-22-2-22-222-22-2-22-22-2-2-22-22-2200000000-22000000002-22000000002-20000002-200000000000000000000000000
χ6922-222-2-2-22-22-2-222-22-22-222-22-2-22-222-22-222-22-22-2200000000-2200000000-22-200000000-220000002-200000000000000000000000000
χ7022-222-2-2-22-22-2-222-22-22-222-22-2-22-222-22-2-2-2-22-222-2000000002-2000000002-22000000002-2000000-2200000000000000000000000000
χ7122-222-2-2-22-22-2-222-22-22-22-22-22-22-22-22-22222-22-2-2200000000-2200000000-22-2000000002-2000000-2200000000000000000000000000
χ7222-222-2-2-22-22-2-222-22-22-22-22-22-22-22-22-22-2-22-22-22-2000000002-2000000002-2200000000-220000002-200000000000000000000000000
χ7322-2-2-222-222-2-2-2222-22-22-20000-22-2200002200002-200002-22-2-2200002-22-2-2-2200000000000000000000000000002-22-2000000000000
χ7422-2-2-222-222-2-2-2222-22-22-20000-22-2200002200002-20000-22-22-220000-22-22-2-220000000000000000000000000000-22-22000000000000
χ7522-2-2-222-222-2-2-2222-22-22-20000-22-220000-2-20000-2200002-22-22-200002-22-222-20000000000000000000000000000-22-22000000000000
χ7622-2-2-222-222-2-2-2222-22-22-20000-22-220000-2-20000-220000-22-222-20000-22-2222-200000000000000000000000000002-22-2000000000000
χ7722-2-2-222-222-2-2-2222-2-22-2200002-22-20000220000-2200002-2-222-200002-2-22-2-2200000000000000000000000000002-2-22000000000000
χ7822-2-2-222-222-2-2-2222-2-22-2200002-22-20000220000-220000-222-22-20000-222-2-2-220000000000000000000000000000-222-2000000000000
χ7922-2-2-222-222-2-2-2222-2-22-2200002-22-20000-2-200002-200002-2-22-2200002-2-2222-20000000000000000000000000000-222-2000000000000
χ8022-2-2-222-222-2-2-2222-2-22-2200002-22-20000-2-200002-20000-222-2-220000-222-222-200000000000000000000000000002-2-22000000000000
χ8122-2-2-222-22-2222-2-2-222-2-222-22-22-2-22-22-22002-2-220000000000000000000000000000000002-2000000002-22-2000000000000002-20000
χ8222-2-2-222-22-2222-2-2-222-2-222-22-22-2-22-22-22002-2-22000000000000000000000000000000000-2200000000-22-2200000000000000-220000
χ8322-2-2-222-22-2222-2-2-222-2-22-22-222-2-222-22-200-222-20000000000000000000000000000000002-2000000002-2-2200000000000000-220000
χ8422-2-2-222-22-2222-2-2-222-2-22-22-222-2-222-22-200-222-2000000000000000000000000000000000-2200000000-222-2000000000000002-20000
χ8522-2-2-222-22-2222-2-2-22-222-22-22-2-222-2-22-2200-222-20000000000000000000000000000000002-200000000-222-200000000000000-220000
χ8622-2-2-222-22-2222-2-2-22-222-22-22-2-222-2-22-2200-222-2000000000000000000000000000000000-22000000002-2-22000000000000002-20000
χ8722-2-2-222-22-2222-2-2-22-222-2-22-22-222-22-22-2002-2-220000000000000000000000000000000002-200000000-22-22000000000000002-20000
χ8822-2-2-222-22-2222-2-2-22-222-2-22-22-222-22-22-2002-2-22000000000000000000000000000000000-22000000002-22-200000000000000-220000
χ89444444444-4-4-4-4-4-4-4-444-4-40000-4-44400000000000000000000000000000000000000000000000000000000000000000000000000000
χ90444444444-4-4-4-4-4-4-4-4-4-444000044-4-400000000000000000000000000000000000000000000000000000000000000000000000000000
χ914444-44-4-4-4-4-4-44-44440000000000000000000000004400000000-4-400000000000000000000000000000000000000000000000000000
χ924444-44-4-4-4-4-4-44-4444000000000000000000000000-4-4000000004400000000000000000000000000000000000000000000000000000
χ93444-44-44-4-4-4-44-44-444000000000000000000000000004400000000-4-4000000000000000000000000000000000000000000000000000
χ94444-44-44-4-4-4-44-44-44400000000000000000000000000-4-40000000044000000000000000000000000000000000000000000000000000
χ9544-444-4-4-444-444-4-44-44-4-440000-444-400000000000000000000000000000000000000000000000000000000000000000000000000000
χ9644-444-4-4-444-444-4-44-4-444-400004-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000
χ9744-44-4-444-44-44-4-44-4400000000000000000000000000004-400000000-440000000000000000000000000000000000000000000000000
χ9844-44-4-444-44-44-4-44-440000000000000000000000000000-44000000004-40000000000000000000000000000000000000000000000000
χ9944-44-4-444-4-44-444-44-400004-4-4400004-4-440000000000000000000000000000000000000000000000000000000000000000000000000
χ10044-44-4-444-4-44-444-44-40000-444-40000-444-40000000000000000000000000000000000000000000000000000000000000000000000000
χ10144-4-444-44-44-4-444-4-440000000000000000000000000000004-400000000-4400000000000000000000000000000000000000000000000
χ10244-4-444-44-44-4-444-4-44000000000000000000000000000000-44000000004-400000000000000000000000000000000000000000000000
χ10344-4-444-44-4-444-4-444-400004-4-440000-444-40000000000000000000000000000000000000000000000000000000000000000000000000
χ10444-4-444-44-4-444-4-444-40000-444-400004-4-440000000000000000000000000000000000000000000000000000000000000000000000000
χ10516-1600000000000000000000000000000008-800000000000000000000000000000000000000000000000000000000000000000000000
χ10616-160000000000000000000000000000000-8800000000000000000000000000000000000000000000000000000000000000000000000

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