Finite Group Databasebeta

← Group #72238052

Character table — Group #72238052

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size111122222222222222222244444444444444444444441616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616
order1222222222222222222222222222222222222222222222224444444444444444444444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ511111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ9111111111111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-1111-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i
χ10111111111111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-1111-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii
χ11111111111111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-1-1-1-1111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii
χ12111111111111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-1-1-1-1111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i
χ13111111111111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii
χ14111111111111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ15111111111111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-11111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ16111111111111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-11111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ1711111111-1-1-1-111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1111-111-1-11-1-11-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ1811111111-1-1-1-111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1111-111-1-11-1-11-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111
χ1911111111-1-1-1-111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-11-111-1-1-111-111-1-111-1-11111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111
χ2011111111-1-1-1-111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-11-111-1-1-111-111-1-111-1-111-1-111-1-111-1-111-1-11111-1-111-1-111-1-111-1-1
χ2111111111-1-1-1-111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1111-11-1-1111-1-11-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111
χ2211111111-1-1-1-111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1111-11-1-1111-1-11-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1
χ2311111111-1-1-1-111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-11-1-1-11-1-111-111-11111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ2411111111-1-1-1-111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-11-1-1-11-1-111-111-11111-1-111-1-1-1-111-1-11111-1-111-1-111-1-111-1-1-1-111-1-111
χ2511111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-11-11-11-1-1-1111-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii
χ2611111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-11-11-11-1-1-1111-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i
χ2711111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-11-1-111-1-1-111-1111-1-1-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i
χ2811111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-11-1-111-1-1-111-1111-1-1-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii
χ2911111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-11-1-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i
χ3011111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-11-1-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii
χ3111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-11-11-1111-1-1-1111-1-111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii
χ3211111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-11-11-1111-1-1-1111-1-111-1-1-1-111−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i
χ3322222222222222-2-2-2-2-2-2-2-22-2-2-222-2-2-2-222-22222-2-2-2-220000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ3422222222222222-2-2-2-2-2-2-2-22-2-2-222-2-2-2-222-22222-2-2-2-22000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ35222222222222-2-2-2-22222222-2-2-222-2-2-2-2-2-22-2-2-2-22222-20000000000000000000000002-22-2-22-22000000000000000000000000
χ36222222222222-2-2-2-22222222-2-2-222-2-2-2-2-2-22-2-2-2-22222-2000000000000000000000000-22-222-22-2000000000000000000000000
χ3722222222-2-2-2-222-2-2-2-2-2-2-2-22-2-2-2-2-2222222-2-2-2-2-2222220000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ3822222222-2-2-2-222-2-2-2-2-2-2-2-22-2-2-2-2-2222222-2-2-2-2-222222000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-22222222-2-2-2-2-22222-2-222222-2-2-2-2-20000000000000000000000002-2-22-222-2000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-22222222-2-2-2-2-22222-2-222222-2-2-2-2-2000000000000000000000000-222-22-2-22000000000000000000000000
χ41222222-2-2222222222222-2-2-22-2-2-2-222-2-22-2-222-2-222-2-2-20022000000-22-2-22-20000000000000000000000000000000000000000
χ42222222-2-2222222222222-2-2-22-2-2-2-222-2-22-2-222-2-222-2-2-200-2-20000002-222-220000000000000000000000000000000000000000
χ43222222-2-2222222-2-2-2-2-2-222-2-222-2-2-2-2222-2222-2-2-2-222-200000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000
χ44222222-2-2222222-2-2-2-2-2-222-2-222-2-2-2-2222-2222-2-2-2-222-20000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000
χ45222222-2-22222-2-222-2-2-2-222-22-2-2-2-222-2-2-222-2-222-2-2222002-2000000-22-22-220000000000000000000000000000000000000000
χ46222222-2-22222-2-222-2-2-2-222-22-2-2-2-222-2-2-222-2-222-2-222200-220000002-22-22-20000000000000000000000000000000000000000
χ47222222-2-22222-2-2-2-22222-2-2-2-222-2-2-2-222-22-2-2-22222-2-2200000000000000000000000000000000000000002-22-2-22-2200000000
χ48222222-2-22222-2-2-2-22222-2-2-2-222-2-2-2-222-22-2-2-22222-2-220000000000000000000000000000000000000000-22-222-22-200000000
χ49222222-2-2-2-2-2-222222222-2-2-22-2-222-2-2222-2-2-2-222-2-222-20022000000-2-22-2-220000000000000000000000000000000000000000
χ50222222-2-2-2-2-2-222222222-2-2-22-2-222-2-2222-2-2-2-222-2-222-200-2-200000022-222-20000000000000000000000000000000000000000
χ51222222-2-2-2-2-2-222-2-2-2-2-2-222-2-2222222-2-22-22-2-22222-2-2-200000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000
χ52222222-2-2-2-2-2-222-2-2-2-2-2-222-2-2222222-2-22-22-2-22222-2-2-20000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000
χ53222222-2-2-2-2-2-2-2-222-2-2-2-222-22-2-222-2-222-22222-2-222-2-22002-2000000-2-2222-20000000000000000000000000000000000000000
χ54222222-2-2-2-2-2-2-2-222-2-2-2-222-22-2-222-2-222-22222-2-222-2-2200-2200000022-2-2-220000000000000000000000000000000000000000
χ55222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-2-22-222-2-2-2-222200000000000000000000000000000000000000002-2-22-222-200000000
χ56222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-2-22-222-2-2-2-22220000000000000000000000000000000000000000-222-22-2-2200000000
χ572222-2-22222-2-2222222-2-2-2-2-2-22-22-22-22-2-2-222-22-22-22-222200-2-22-22-20000000000000000000000000000000000000000000000
χ582222-2-22222-2-2222222-2-2-2-2-2-22-22-22-22-2-2-222-22-22-22-22-2-20022-22-220000000000000000000000000000000000000000000000
χ592222-2-22222-2-222-2-2-2-22222-22-222-2-22-22-2-2-22-22-2-22-222000000000000000000000000000000002-22-22-22-20000000000000000
χ602222-2-22222-2-222-2-2-2-22222-22-222-2-22-22-2-2-22-22-2-22-22200000000000000000000000000000000-22-22-22-220000000000000000
χ612222-2-22222-2-2-2-222-2-22222-2-22-22-22-22-222-2-22-22-22-22-22200-2-2-22-220000000000000000000000000000000000000000000000
χ622222-2-22222-2-2-2-222-2-22222-2-22-22-22-22-222-2-22-22-22-22-2-2-200222-22-20000000000000000000000000000000000000000000000
χ632222-2-22222-2-2-2-2-2-222-2-2-2-2-22-222-2-22-22222-22-222-22-2-2000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ642222-2-22222-2-2-2-2-2-222-2-2-2-2-22-222-2-22-22222-22-222-22-2-200000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ652222-2-222-2-222222222-2-2-2-2-2-22-2-22-22-22-2-22-22-22-22-2222-200-222-2-220000000000000000000000000000000000000000000000
χ662222-2-222-2-222222222-2-2-2-2-2-22-2-22-22-22-2-22-22-22-22-222-22002-2-222-20000000000000000000000000000000000000000000000
χ672222-2-222-2-22222-2-2-2-22222-22-22-222-22-2-2-2-2-22-222-22-22000000000000000000000000000000002-2-222-2-220000000000000000
χ682222-2-222-2-22222-2-2-2-22222-22-22-222-22-2-2-2-2-22-222-22-2200000000000000000000000000000000-222-2-222-20000000000000000
χ692222-2-222-2-222-2-222-2-22222-2-22-2-22-22-2222-22-22-22-22-2-22-200-22-222-20000000000000000000000000000000000000000000000
χ702222-2-222-2-222-2-222-2-22222-2-22-2-22-22-2222-22-22-22-22-2-2-22002-22-2-220000000000000000000000000000000000000000000000
χ712222-2-222-2-222-2-2-2-222-2-2-2-2-22-22-222-22-22222-22-2-22-22-2000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ722222-2-222-2-222-2-2-2-222-2-2-2-2-22-22-222-22-22222-22-2-22-22-200000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ732222-2-2-2-222-2-2222222-2-2222-2-22-222-2-22-22-22-2-222-2-22-200000000000000002-22-22-22-200000000000000000000000000000000
χ742222-2-2-2-222-2-2222222-2-2222-2-22-222-2-22-22-22-2-222-2-22-20000000000000000-22-22-22-2200000000000000000000000000000000
χ752222-2-2-2-222-2-222-2-2-2-222-2-2222-2-22-222-2-2222-2-22-222-2-20000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i
χ762222-2-2-2-222-2-222-2-2-2-222-2-2222-2-22-222-2-2222-2-22-222-2-2000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i
χ772222-2-2-2-222-2-2-2-222-2-222-2-22-2-22-222-2-222-22-222-2-222-2200000000000000002-22-2-22-2200000000000000000000000000000000
χ782222-2-2-2-222-2-2-2-222-2-222-2-22-2-22-222-2-222-22-222-2-222-220000000000000000-22-222-22-200000000000000000000000000000000
χ792222-2-2-2-222-2-2-2-2-2-222-2-222222-2-22-222-22-2-2-222-22-2-2220000000000000000000000000000000000000000000000002-22-2-22-22
χ802222-2-2-2-222-2-2-2-2-2-222-2-222222-2-22-222-22-2-2-222-22-2-222000000000000000000000000000000000000000000000000-22-222-22-2
χ812222-2-2-2-2-2-222222222-2-2222-2-222-2-222-2-22-2-222-2-222-2-200000000000000002-2-222-2-2200000000000000000000000000000000
χ822222-2-2-2-2-2-222222222-2-2222-2-222-2-222-2-22-2-222-2-222-2-20000000000000000-222-2-222-200000000000000000000000000000000
χ832222-2-2-2-2-2-22222-2-2-2-222-2-2222-22-22-2-22-222-222-22-2-22-20000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i
χ842222-2-2-2-2-2-22222-2-2-2-222-2-2222-22-22-2-22-222-222-22-2-22-2000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i
χ852222-2-2-2-2-2-222-2-222-2-222-2-22-2-222-2-222-22-222-2-222-2-22200000000000000002-2-22-222-200000000000000000000000000000000
χ862222-2-2-2-2-2-222-2-222-2-222-2-22-2-222-2-222-22-222-2-222-2-2220000000000000000-222-22-2-2200000000000000000000000000000000
χ872222-2-2-2-2-2-222-2-2-2-222-2-222222-22-22-2-222-2-22-2-22-222-220000000000000000000000000000000000000000000000002-2-22-222-2
χ882222-2-2-2-2-2-222-2-2-2-222-2-222222-22-22-2-222-2-22-2-22-222-22000000000000000000000000000000000000000000000000-222-22-2-22
χ8988-8-8000000008-88-88-80000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-8000000008-8-88-880000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800000000-888-8-880000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800000000-88-888-80000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8008-800000000008-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-8008-80000000000-88-88000000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-8800000000008-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-800-880000000000-888-8000000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-8-888-8008-88-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-888-800-88-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ998-8-88-88008-8-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-8800-888-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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