Finite Group Databasebeta

← Group #72260803

Character table — Group #72260803

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size11112222222222444444888888888816161616161616161616161616161616161616161616161632323232323232323232323232323232
order1222222222222222222222222244442244444444444444444444444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ9111111-1-1-1-11111-1-1111111-1-1-1-11-1-111-11-11-111111-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-1
χ10111111-1-1-1-11111-1-1111111-1-1-1-11-1-111-11-11-111-1-11-1-1-111-1-1-1-111111-1-1111-1-1-1-111-1-111
χ11111111-1-1-1-11111-1-1111111-1-1-1-11-1-111-11-11-1-1-1111-111-1-1-1-1-1-11111-111-1-1-11111-1-1-1-111
χ12111111-1-1-1-11111-1-1111111-1-1-1-11-1-111-11-11-1-1-1-1-11-111111111-1-1-1-1-11-11-1-111-1-11111-1-1
χ13111111-1-1-1-11111-1-1111111-1-1-1-11-1-11-11-11-111111-11-1-1-1-11111-1-1-1-11-11-1-1-111-1-111-1-111
χ14111111-1-1-1-11111-1-1111111-1-1-1-11-1-11-11-11-1111-1-1-11-1-111-1-1-1-111111-1-11-1-11111-1-111-1-1
χ15111111-1-1-1-11111-1-1111111-1-1-1-11-1-11-11-11-11-1-111-1111-1-1-1-1-1-11111-111-111-1-1-1-11111-1-1
χ16111111-1-1-1-11111-1-1111111-1-1-1-11-1-11-11-11-11-1-1-1-1-1111111111-1-1-1-1-11-1111-1-111-1-1-1-111
χ17222222222222222222-2-22-222-2-2-2-2-2-200000000220000220000000000-2-2000000000000
χ18222222222222222222-2-22-222-2-2-2-2-2-200000000-2-20000-2-2000000000022000000000000
χ192222222222222222-2-222-22-2-222-2-2-2-2000000220000220000000000-2-200000000000000
χ202222222222222222-2-222-22-2-222-2-2-2-2000000-2-20000-2-200000000002200000000000000
χ212222222222222222-2-2-2-2-2-2-2-2-2-22222000000000000000022-2-222-2-20000000000000000
χ222222222222222222-2-2-2-2-2-2-2-2-2-222220000000000000000-2-222-2-2220000000000000000
χ23222222-2-2-2-22222-2-222-2-22-2-2-222-222-200000000220000-2-20000000000-22000000000000
χ24222222-2-2-2-22222-2-222-2-22-2-2-222-222-200000000-2-200002200000000002-2000000000000
χ25222222-2-2-2-22222-2-2-2-222-2222-2-2-222-2000000220000-2-20000000000-2200000000000000
χ26222222-2-2-2-22222-2-2-2-222-2222-2-2-222-2000000-2-200002200000000002-200000000000000
χ27222222-2-2-2-22222-2-2-2-2-2-2-2-222222-2-22000000000000000022-2-2-2-2220000000000000000
χ28222222-2-2-2-22222-2-2-2-2-2-2-2-222222-2-220000000000000000-2-22222-2-20000000000000000
χ292222-2-222-2-222-2-22-22222-2-22-22-222-2-222-2-2-2-20000220000000000000000000000000000
χ302222-2-222-2-222-2-22-22222-2-22-22-222-2-2-2-222220000-2-20000000000000000000000000000
χ312222-2-222-2-222-2-22-222-2-2-222-2-22-2-222000000000000000000000000000000002-22-20000
χ322222-2-222-2-222-2-22-222-2-2-222-2-22-2-22200000000000000000000000000000000-22-220000
χ332222-2-222-2-222-2-22-2-2-2222-2-222-2-2-22200000000000000000000000000002-22-200000000
χ342222-2-222-2-222-2-22-2-2-2222-2-222-2-2-2220000000000000000000000000000-22-2200000000
χ352222-2-222-2-222-2-22-2-2-2-2-222-22-2222-2-20000000000000000000000000000000000002i−2i2i−2i
χ362222-2-222-2-222-2-22-2-2-2-2-222-22-2222-2-2000000000000000000000000000000000000−2i2i−2i2i
χ372222-2-2-2-22222-2-2-222222-2-2-22-222-22-22-2-22-2200002-20000000000000000000000000000
χ382222-2-2-2-22222-2-2-222222-2-2-22-222-22-2-222-22-20000-220000000000000000000000000000
χ392222-2-2-2-22222-2-2-2222-2-2-22-222-2-22-22000000000000000000000000000000002-2-220000
χ402222-2-2-2-22222-2-2-2222-2-2-22-222-2-22-2200000000000000000000000000000000-222-20000
χ412222-2-2-2-22222-2-2-22-2-2222-22-2-22-22-2200000000000000000000000000002-2-2200000000
χ422222-2-2-2-22222-2-2-22-2-2222-22-2-22-22-220000000000000000000000000000-222-200000000
χ432222-2-2-2-22222-2-2-22-2-2-2-2222-22-22-22-20000000000000000000000000000000000002i−2i−2i2i
χ442222-2-2-2-22222-2-2-22-2-2-2-2222-22-22-22-2000000000000000000000000000000000000−2i2i2i−2i
χ4544444-44444-4-44-4-4-4000000000000002222-2-20000-2-20000000000000000000000000000
χ4644444-44444-4-44-4-4-400000000000000-2-2-2-2220000220000000000000000000000000000
χ4744444-4-4-4-4-4-4-44-444000000000000002-22-2-220000-220000000000000000000000000000
χ4844444-4-4-4-4-4-4-44-44400000000000000-22-222-200002-20000000000000000000000000000
χ494444-4444-4-4-4-4-44-440000000000000022-2-2220000-2-20000000000000000000000000000
χ504444-4444-4-4-4-4-44-4400000000000000-2-222-2-20000220000000000000000000000000000
χ514444-44-4-444-4-4-444-4000000000000002-2-222-20000-220000000000000000000000000000
χ524444-44-4-444-4-4-444-400000000000000-222-2-2200002-20000000000000000000000000000
χ5344-4-4-404-44-4004000000000000000000000002i−2i2i−2i002i−2i2i−2i002-2002-20000000000000000
χ5444-4-4-404-44-4004000000000000000000000002i−2i−2i2i002i−2i−2i2i00-2200-220000000000000000
χ5544-4-4-404-44-400400000000000000000000000−2i2i2i−2i00−2i2i2i−2i00-2200-220000000000000000
χ5644-4-4-404-44-400400000000000000000000000−2i2i−2i2i00−2i2i−2i2i002-2002-20000000000000000
χ5744-4-4-40-44-44004000000000000000000000002i−2i2i−2i00−2i2i−2i2i002-200-220000000000000000
χ5844-4-4-40-44-44004000000000000000000000002i−2i−2i2i00−2i2i2i−2i00-22002-20000000000000000
χ5944-4-4-40-44-4400400000000000000000000000−2i2i2i−2i002i−2i−2i2i00-22002-20000000000000000
χ6044-4-4-40-44-4400400000000000000000000000−2i2i−2i2i002i−2i2i−2i002-200-220000000000000000
χ6188-8-8808-8-8800-8000000000000000000000000000000000000000000000000000000000
χ6288-8-880-888-800-8000000000000000000000000000000000000000000000000000000000
χ638-88-8080000000-80000000000000000000000000000000000004i−4i000000000000000000
χ648-88-8080000000-8000000000000000000000000000000000000−4i4i000000000000000000
χ658-88-80-800000008000000000000000000000000000000004-40000000000000000000000
χ668-88-80-80000000800000000000000000000000000000000-440000000000000000000000
χ678-8-880000008-80000008-800000000000000000000000000000000000000000000000000
χ688-8-880000008-8000000-8800000000000000000000000000000000000000000000000000
χ698-8-88000000-8800008-80000000000000000000000000000000000000000000000000000
χ708-8-88000000-880000-880000000000000000000000000000000000000000000000000000

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