Finite Group Databasebeta

← Group #72256815

Character table — Group #72256815

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size11112222224444444444448888888816161616161616161616161616161616161616161616161632323232323232323232323232323232
order1222222222222222222244222224442244444444444444444444442444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ5111111111111111111111111111111-1-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ91111111111-1-1-1-1-1-1-1-1111111-1-111-1-11-111-1-1111-1-1-11111-1-111-1-1-1-1-111-111-1-111-1-111-1-1
χ101111111111-1-1-1-1-1-1-1-1111111-1-111-1-11-111-1-1111-1-1-1-1-1-1-11111-1-1111-1-1111-1-1-1-111-1-111
χ111111111111-1-1-1-1-1-1-1-1111111-1-111-1-11-111-1-1-1-11-11111-1-111-1-111-1-1-11-11-1-111-1-11111-1-1
χ121111111111-1-1-1-1-1-1-1-1111111-1-111-1-11-111-1-1-1-11-111-1-111-1-1-1-111111-11-1-1-11111-1-1-1-111
χ131111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-11-1-11111-11-1-11111-1-111-1-1-1-1-111-1-1-111-1-111-1-111
χ141111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-11-1-11111-11-1-1-1-1-1-11111-1-1111-1-11-1-11111-1-111-1-1
χ151111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-11-1-111-1-1-111111-1-111-1-111-1-1-11-1111-1-111-1-1-1-111
χ161111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-11-1-111-1-1-1111-1-111-1-1-1-111111-11-111-1-1-1-11111-1-1
χ172222222222222222-2-222-2-22-22-2-2-2-2-2000000220022000000-2-2-2-2000000000000000000
χ182222222222222222-2-222-2-22-22-2-2-2-2-2000000-2-200-2-20000002222000000000000000000
χ1922222222222222-2-222-2-2-2-2-22-222-2-2-200000000000000222200000000-2-2000000000000
χ2022222222222222-2-222-2-2-2-2-22-222-2-2-200000000000000-2-2-2-20000000022000000000000
χ2122222222222222-2-2-2-2-2-222-2-2-2-2-2222000000000000220000000022-2-200000000000000
χ2222222222222222-2-2-2-2-2-222-2-2-2-2-2222000000000000-2-200000000-2-22200000000000000
χ232222222222-2-2-2-22222-2-222-2-222-22-2-20000000000002200000000-2-22-200000000000000
χ242222222222-2-2-2-22222-2-222-2-222-22-2-2000000000000-2-20000000022-2200000000000000
χ252222222222-2-2-2-222-2-2-2-2-2-2-222-22-2220000000000000022-2-200000000-22000000000000
χ262222222222-2-2-2-222-2-2-2-2-2-2-222-22-22200000000000000-2-222000000002-2000000000000
χ272222222222-2-2-2-2-2-22222-2-22-2-22-2-2220000002200-2-2000000-2-222000000000000000000
χ282222222222-2-2-2-2-2-22222-2-22-2-22-2-222000000-2-2002200000022-2-2000000000000000000
χ292222-22-2-2-2222-2-222222222-22-2-2-2-22-2222-22-200-2-2000000000000000000000000000000
χ302222-22-2-2-2222-2-222222222-22-2-2-2-22-2-2-2-22-220022000000000000000000000000000000
χ312222-22-2-2-2222-2-222-2-222-2-2-2-2-2222-2200000000000000000000000000002-22-200000000
χ322222-22-2-2-2222-2-222-2-222-2-2-2-2-2222-220000000000000000000000000000-22-2200000000
χ332222-22-2-2-2222-2-2-2-222-2-2-2-2222-2-22-22000000000000000000000000000000002i−2i2i−2i0000
χ342222-22-2-2-2222-2-2-2-222-2-2-2-2222-2-22-2200000000000000000000000000000000−2i2i−2i2i0000
χ352222-22-2-2-2222-2-2-2-2-2-2-2-2222-2222-22-20000000000000000000000000000000000002-22-2
χ362222-22-2-2-2222-2-2-2-2-2-2-2-2222-2222-22-2000000000000000000000000000000000000-22-22
χ372222-22-2-2-22-2-2222222-2-2222-2-2-22-2-220000000000000000000000000000000000002-2-22
χ382222-22-2-2-22-2-2222222-2-2222-2-2-22-2-22000000000000000000000000000000000000-222-2
χ392222-22-2-2-22-2-22222-2-2-2-2-2-222-22-222-2000000000000000000000000000000002i−2i−2i2i0000
χ402222-22-2-2-22-2-22222-2-2-2-2-2-222-22-222-200000000000000000000000000000000−2i2i2i−2i0000
χ412222-22-2-2-22-2-222-2-22222-2-2-2-22-2222-200000000000000000000000000002-2-2200000000
χ422222-22-2-2-22-2-222-2-22222-2-2-2-22-2222-20000000000000000000000000000-222-200000000
χ432222-22-2-2-22-2-222-2-2-2-22222-2222-2-2-222-22-2-2200-22000000000000000000000000000000
χ442222-22-2-2-22-2-222-2-2-2-22222-2222-2-2-22-22-222-2002-2000000000000000000000000000000
χ4544444-4-4-44-44-44-4000000000000000022-22-2200-2-2000000000000000000000000000000
χ4644444-4-4-44-44-44-40000000000000000-2-22-22-20022000000000000000000000000000000
χ4744444-4-4-44-4-44-4400000000000000002-2-222-200-22000000000000000000000000000000
χ4844444-4-4-44-4-44-440000000000000000-222-2-22002-2000000000000000000000000000000
χ494444-4-444-4-44-4-44000000000000000022-2-2-2-20022000000000000000000000000000000
χ504444-4-444-4-44-4-440000000000000000-2-2222200-2-2000000000000000000000000000000
χ514444-4-444-4-4-444-400000000000000002-2-2-222002-2000000000000000000000000000000
χ524444-4-444-4-4-444-40000000000000000-2222-2-200-22000000000000000000000000000000
χ5344-4-404000-400004-44-4004-4000000000000002i−2i002i−2i0000002i−2i2i−2i000000000000000000
χ5444-4-404000-400004-44-4004-400000000000000−2i2i00−2i2i000000−2i2i−2i2i000000000000000000
χ5544-4-404000-400004-4-4400-44000000000000002i−2i002i−2i000000−2i2i−2i2i000000000000000000
χ5644-4-404000-400004-4-4400-4400000000000000−2i2i00−2i2i0000002i−2i2i−2i000000000000000000
χ5744-4-404000-40000-444-400-44000000000000002i−2i00−2i2i000000−2i2i2i−2i000000000000000000
χ5844-4-404000-40000-444-400-4400000000000000−2i2i002i−2i0000002i−2i−2i2i000000000000000000
χ5944-4-404000-40000-44-44004-4000000000000002i−2i00−2i2i0000002i−2i−2i2i000000000000000000
χ6044-4-404000-40000-44-44004-400000000000000−2i2i002i−2i000000−2i2i2i−2i000000000000000000
χ6188-8-80-80008000000008-800000000000000000000000000000000000000000000000000
χ6288-8-80-8000800000000-8800000000000000000000000000000000000000000000000000
χ638-88-88000-8000000000000000000000000000000000004i−4i000000000000000000000000
χ648-88-88000-800000000000000000000000000000000000−4i4i000000000000000000000000
χ658-88-8-8000800000000000000000000000000000000000004-40000000000000000000000
χ668-88-8-800080000000000000000000000000000000000000-440000000000000000000000
χ678-8-88008-8000000000000000000000000000000000000000000004-40000000000000000
χ688-8-88008-800000000000000000000000000000000000000000000-440000000000000000
χ698-8-8800-8800000000000000000000000000000000004-400000000000000000000000000
χ708-8-8800-880000000000000000000000000000000000-4400000000000000000000000000

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