Finite Group Databasebeta

← Group #72266051

Character table — Group #72266051

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109
size11112222222222222222444444444444444888888888888888888888888888888888888888816161616161616161616161616161616161616161616161616161616161632323232
order1222222222222222222222222222222444422222222222244444444444444444444444444442444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ3111111111111111111111111111111111111111111111-1-111-1-1111111111111-1-1-1-11111-1-1-1-1-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1
χ51111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ61111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1111111111111111111-1-111-1-1-1-1-1-1-1-1
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ9111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1
χ10111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111111111111-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1
χ11111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-11-111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111
χ12111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-111
χ13111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111
χ14111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111111111111-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ15111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-11-11-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111-1-1
χ16111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1
χ1711111111-1-11111111111-1-1-1-1-1-1-111111111-1-111-1-111-1-11111-1-111-1-111-1-111-1-1-1-1-1-1111111111-1-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1111-11-1
χ1811111111-1-11111111111-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-11-1-111-1-111-1-111-1-1111111-1-111-1-11-11-1
χ1911111111-1-11111111111-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1111111-1-111-1-111-1-111111111-1-1-1-1-1-11-111-1-111-1-1-1-111-1-111-1-11111-1-1-1-1-11-11
χ2011111111-1-11111111111-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1111-1-111-1-11111-1-111-1-1-1-1-1-1111111-11-11
χ2111111111-1-11111111111-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-111-1-1-1-1111111111-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-111-11-11
χ2211111111-1-11111111111-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1111-1-111-1-111-1-111-1-11111-1-111-1-1-11-11
χ2311111111-1-11111111111-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1111111-1-1-1-111-1-11111111111-1-1-1-1-1-11-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-11-11-1
χ2411111111-1-11111111111-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-111111-1-111-1-1-1-111-1-111-1-1-1-11111111-11-1
χ2511111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111111-1-11
χ2611111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-11-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-11
χ2711111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-111-1-1-1-111-1-11111-1-11111-1-111-1-1-111-1
χ2811111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-111-111-1
χ2911111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-111-1
χ3011111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111111111-1111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-111-1
χ3111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-11111-1-111-1-1-1-1111111-1-111-1-11-1-11
χ3211111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-11111-1-111111111-1-1-1-1-111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1111-1-11
χ332222222-22222-2-22-2-2-2-2-2222-2-2-2-200000000000000222200000000000000-2-2-2-22i2i−2i−2i00002i2i−2i−2i0000000000002i−2i2i−2i000000000000000000
χ342222222-22222-2-22-2-2-2-2-2222-2-2-2-200000000000000222200000000000000-2-2-2-2−2i−2i2i2i0000−2i−2i2i2i000000000000−2i2i−2i2i000000000000000000
χ352222222-22222-2-22-2-2-2-2-2222-2-2-2-200000000000000-2-2-2-20000000000000022222i2i−2i−2i00002i2i−2i−2i000000000000−2i2i−2i2i000000000000000000
χ362222222-22222-2-22-2-2-2-2-2222-2-2-2-200000000000000-2-2-2-2000000000000002222−2i−2i2i2i0000−2i−2i2i2i0000000000002i−2i2i−2i000000000000000000
χ372222222-2-2-222-2-22-2-2-2-2-2-2-2-222220000000000000022-2-200000000000000-2-2222i2i−2i−2i0000−2i−2i2i2i000000000000−2i2i2i−2i000000000000000000
χ382222222-2-2-222-2-22-2-2-2-2-2-2-2-222220000000000000022-2-200000000000000-2-222−2i−2i2i2i00002i2i−2i−2i0000000000002i−2i−2i2i000000000000000000
χ392222222-2-2-222-2-22-2-2-2-2-2-2-2-2222200000000000000-2-2220000000000000022-2-22i2i−2i−2i0000−2i−2i2i2i0000000000002i−2i−2i2i000000000000000000
χ402222222-2-2-222-2-22-2-2-2-2-2-2-2-2222200000000000000-2-2220000000000000022-2-2−2i−2i2i2i00002i2i−2i−2i000000000000−2i2i2i−2i000000000000000000
χ41222222-2222-2-222-22-2-2-2-22-2-222-2-20000000000222200000000000000-2-2-2-200002i−2i2i−2i00002i−2i2i−2i00000000000000002i−2i2i−2i00000000000000
χ42222222-2222-2-222-22-2-2-2-22-2-222-2-20000000000222200000000000000-2-2-2-20000−2i2i−2i2i0000−2i2i−2i2i0000000000000000−2i2i−2i2i00000000000000
χ43222222-2222-2-222-22-2-2-2-22-2-222-2-20000000000-2-2-2-200000000000000222200002i−2i2i−2i00002i−2i2i−2i0000000000000000−2i2i−2i2i00000000000000
χ44222222-2222-2-222-22-2-2-2-22-2-222-2-20000000000-2-2-2-20000000000000022220000−2i2i−2i2i0000−2i2i−2i2i00000000000000002i−2i2i−2i00000000000000
χ45222222-22-2-2-2-222-22-2-2-2-2-222-2-222000000000022-2-200000000000000-2-22200002i−2i2i−2i0000−2i2i−2i2i0000000000000000−2i2i2i−2i00000000000000
χ46222222-22-2-2-2-222-22-2-2-2-2-222-2-222000000000022-2-200000000000000-2-2220000−2i2i−2i2i00002i−2i2i−2i00000000000000002i−2i−2i2i00000000000000
χ47222222-22-2-2-2-222-22-2-2-2-2-222-2-2220000000000-2-2220000000000000022-2-200002i−2i2i−2i0000−2i2i−2i2i00000000000000002i−2i−2i2i00000000000000
χ48222222-22-2-2-2-222-22-2-2-2-2-222-2-2220000000000-2-2220000000000000022-2-20000−2i2i−2i2i00002i−2i2i−2i0000000000000000−2i2i2i−2i00000000000000
χ49222222-2-222-2-2-2-2-2-222222-2-2-2-2222222-2-2-2-2220000000000000000-2-2000000002-2-2200002-2-2200000000000000000000002-200002-20000
χ50222222-2-222-2-2-2-2-2-222222-2-2-2-2222222-2-2-2-2220000000000000000-2-200000000-222-20000-222-20000000000000000000000-220000-220000
χ51222222-2-222-2-2-2-2-2-222222-2-2-2-222-2-2-2-22222-2-2000000000000000022000000002-2-2200002-2-220000000000000000000000-220000-220000
χ52222222-2-222-2-2-2-2-2-222222-2-2-2-222-2-2-2-22222-2-200000000000000002200000000-222-20000-222-200000000000000000000002-200002-20000
χ53222222-2-2-2-2-2-2-2-2-2-22222-22222-2-22222-2-2-2-2-2-2000000000000000022000000002-2-220000-222-200000000000000000000002-20000-220000
χ54222222-2-2-2-2-2-2-2-2-2-22222-22222-2-22222-2-2-2-2-2-200000000000000002200000000-222-200002-2-220000000000000000000000-2200002-20000
χ55222222-2-2-2-2-2-2-2-2-2-22222-22222-2-2-2-2-2-22222220000000000000000-2-2000000002-2-220000-222-20000000000000000000000-2200002-20000
χ56222222-2-2-2-2-2-2-2-2-2-22222-22222-2-2-2-2-2-22222220000000000000000-2-200000000-222-200002-2-2200000000000000000000002-20000-220000
χ572222-2-22222-2-2-2-222-2-222-22-22-22-222-2-222-2-22-200000000002200-2-22-200000000000022-2-20000020-200000000000000000000002-2000000
χ582222-2-22222-2-2-2-222-2-222-22-22-22-222-2-222-2-22-20000000000-2-200222-2000000000000-2-22200000-2020000000000000000000000-22000000
χ592222-2-22222-2-2-2-222-2-222-22-22-22-2-2-222-2-222-2200000000002200-2-2-22000000000000-2-2220000020-20000000000000000000000-22000000
χ602222-2-22222-2-2-2-222-2-222-22-22-22-2-2-222-2-222-220000000000-2-20022-2200000000000022-2-200000-20200000000000000000000002-2000000
χ612222-2-222-2-2-2-2-2-222-2-2222-22-22-2222-2-222-2-2-2200000000002200-2-2-2200000000000022-2-200000-2020000000000000000000000-22000000
χ622222-2-222-2-2-2-2-2-222-2-2222-22-22-2222-2-222-2-2-220000000000-2-20022-22000000000000-2-2220000020-200000000000000000000002-2000000
χ632222-2-222-2-2-2-2-2-222-2-2222-22-22-22-2-222-2-2222-200000000002200-2-22-2000000000000-2-22200000-20200000000000000000000002-2000000
χ642222-2-222-2-2-2-2-2-222-2-2222-22-22-22-2-222-2-2222-20000000000-2-200222-200000000000022-2-20000020-20000000000000000000000-22000000
χ652222-2-2-2-2222222-2-2-2-222-2-22-222-222-2-2-2-2222-20000000022002200-2200000000000000000000-20-2000000000000000002-2002-200000000
χ662222-2-2-2-2222222-2-2-2-222-2-22-222-222-2-2-2-2222-200000000-2-200-2-200-220000000000000000000020200000000000000000-2200-2200000000
χ672222-2-2-2-2222222-2-2-2-222-2-22-222-2-2-22222-2-2-2200000000220022002-200000000000000000000-20-200000000000000000-2200-2200000000
χ682222-2-2-2-2222222-2-2-2-222-2-22-222-2-2-22222-2-2-2200000000-2-200-2-2002-200000000000000000000202000000000000000002-2002-200000000
χ692222-2-2-2-2-2-22222-2-2-2-22222-22-2-2222-2-2-2-222-22000000002200-2-2002-200000000000000000000-202000000000000000002-200-2200000000
χ702222-2-2-2-2-2-22222-2-2-2-22222-22-2-2222-2-2-2-222-2200000000-2-20022002-20000000000000000000020-200000000000000000-22002-200000000
χ712222-2-2-2-2-2-22222-2-2-2-22222-22-2-22-2-22222-2-22-2000000002200-2-200-2200000000000000000000-20200000000000000000-22002-200000000
χ722222-2-2-2-2-2-22222-2-2-2-22222-22-2-22-2-22222-2-22-200000000-2-2002200-220000000000000000000020-2000000000000000002-200-2200000000
χ732-2-222-222002-22-2-2-22-22-200000002-22-22-22-200002-2002-2002i−2i002i−2i00002-2002-200002i−2i2i−2i00000000002i−2i002i−2i0000000000000000000000
χ742-2-222-222002-22-2-2-22-22-200000002-22-22-22-200002-2002-200−2i2i00−2i2i00002-2002-20000−2i2i−2i2i0000000000−2i2i00−2i2i0000000000000000000000
χ752-2-222-222002-22-2-2-22-22-200000002-22-22-22-20000-2200-22002i−2i002i−2i0000-2200-2200002i−2i2i−2i0000000000−2i2i00−2i2i0000000000000000000000
χ762-2-222-222002-22-2-2-22-22-200000002-22-22-22-20000-2200-2200−2i2i00−2i2i0000-2200-220000−2i2i−2i2i00000000002i−2i002i−2i0000000000000000000000
χ772-2-222-222002-22-2-2-22-22-20000000-22-22-22-2200002-200-22002i−2i002i−2i00002-200-220000−2i2i−2i2i00000000002i−2i00−2i2i0000000000000000000000
χ782-2-222-222002-22-2-2-22-22-20000000-22-22-22-2200002-200-2200−2i2i00−2i2i00002-200-2200002i−2i2i−2i0000000000−2i2i002i−2i0000000000000000000000
χ792-2-222-222002-22-2-2-22-22-20000000-22-22-22-220000-22002-2002i−2i002i−2i0000-22002-20000−2i2i−2i2i0000000000−2i2i002i−2i0000000000000000000000
χ802-2-222-222002-22-2-2-22-22-20000000-22-22-22-220000-22002-200−2i2i00−2i2i0000-22002-200002i−2i2i−2i00000000002i−2i00−2i2i0000000000000000000000
χ812-2-22-222200-22-22-2-2-222-200000002-2-222-2-22002-2002-200002i−2i00−2i2i002-2002-20000002i−2i−2i2i000000002i−2i002i−2i000000000000000000000000
χ822-2-22-222200-22-22-2-2-222-200000002-2-222-2-22002-2002-20000−2i2i002i−2i002-2002-2000000−2i2i2i−2i00000000−2i2i00−2i2i000000000000000000000000
χ832-2-22-222200-22-22-2-2-222-200000002-2-222-2-2200-2200-2200002i−2i00−2i2i00-2200-220000002i−2i−2i2i00000000−2i2i00−2i2i000000000000000000000000
χ842-2-22-222200-22-22-2-2-222-200000002-2-222-2-2200-2200-220000−2i2i002i−2i00-2200-22000000−2i2i2i−2i000000002i−2i002i−2i000000000000000000000000
χ852-2-22-222200-22-22-2-2-222-20000000-222-2-222-2002-200-2200002i−2i00−2i2i002-200-22000000−2i2i2i−2i000000002i−2i00−2i2i000000000000000000000000
χ862-2-22-222200-22-22-2-2-222-20000000-222-2-222-2002-200-220000−2i2i002i−2i002-200-220000002i−2i−2i2i00000000−2i2i002i−2i000000000000000000000000
χ872-2-22-222200-22-22-2-2-222-20000000-222-2-222-200-22002-200002i−2i00−2i2i00-22002-2000000−2i2i2i−2i00000000−2i2i002i−2i000000000000000000000000
χ882-2-22-222200-22-22-2-2-222-20000000-222-2-222-200-22002-20000−2i2i002i−2i00-22002-20000002i−2i−2i2i000000002i−2i00−2i2i000000000000000000000000
χ894444-4-44-444-4-4444-444-4-4-44-4-44-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ904444-4-44-4-4-4-4-4444-444-4-44-444-44-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ914444-4-4-444444-4-4-4444-4-4-4-444-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ924444-4-4-44-4-444-4-4-4444-4-444-4-444-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ934-4-444-44-4004-4-44-44-44-44000000000000000000000004-40000000000000000-440000000000000000000000000000000000000000000000
χ944-4-444-44-4004-4-44-44-44-4400000000000000000000000-4400000000000000004-40000000000000000000000000000000000000000000000
χ954-4-444-4-4400-444-44-4-44-4400000000000000000004-40000000000000000-4400000000000000000000000000000000000000000000000000
χ964-4-444-4-4400-444-44-4-44-440000000000000000000-4400000000000000004-400000000000000000000000000000000000000000000000000
χ974-4-444-4-4-400-44-44444-44-400000004-44-4-44-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ984-4-444-4-4-400-44-44444-44-40000000-44-444-44-400000000000000000000000000000000000000000000000000000000000000000000000000
χ994-4-44-444-400-444-4-444-4-440000000000000000000004-40000000000000000-44000000000000000000000000000000000000000000000000
χ1004-4-44-444-400-444-4-444-4-44000000000000000000000-4400000000000000004-4000000000000000000000000000000000000000000000000
χ1014-4-44-44-44004-4-444-44-4-44000000000000000004-40000000000000000-440000000000000000000000000000000000000000000000000000
χ1024-4-44-44-44004-4-444-44-4-4400000000000000000-4400000000000000004-40000000000000000000000000000000000000000000000000000
χ1034-4-44-44-4-4004-44-444-444-400000004-4-44-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-44-44-4-4004-44-444-444-40000000-444-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-800008-8000000000000000000000000000000000004-4004-40000000000000000000000000000000000000000000000000000000000
χ1068-88-800008-800000000000000000000000000000000000-4400-440000000000000000000000000000000000000000000000000000000000
χ1078-88-80000-88000000000000000000000000000000000004-400-440000000000000000000000000000000000000000000000000000000000
χ1088-88-80000-8800000000000000000000000000000000000-44004-40000000000000000000000000000000000000000000000000000000000
χ1091616-16-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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