Finite Group Databasebeta

← Group #72287073

Character table — Group #72287073

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size1122222224444888888888888881616163232323232323232323232323232323232323232323232323232323232323232323232326464646464646464646464
order12222444422442222224444444422422224444444444444444444444448888888844488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-111-1111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1
χ311111111111111111111111111111111-111-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-11111-1-1
χ411111111111111111111111111111111-1-11-1-11111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-111
χ5111111111111111111111111111111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-1
χ6111111111111111111111111111111-1-11-111-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-11111111
χ7111111111111111111111111111111-1-1-111-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1111-1-1-1-1-111
χ8111111111111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1111-1-1-1-11111-1-1
χ9111111111111111-1-11111111111-1-1-11111-111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111-1111-1-1-1-1
χ10111111111111111-1-11111111111-1-1-1111-1-11-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111
χ11111111111111111-1-11111111111-1-1-111-11-1-11-111-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-1-111-1-111
χ12111111111111111-1-11111111111-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-111-1-1
χ13111111111111111-1-11111111111-1-1-1-1-111-111-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11-1-1-11-1-11111
χ14111111111111111-1-11111111111-1-1-1-1-11-1-11-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111-1111111-1-1-1-1
χ15111111111111111-1-11111111111-1-1-1-1-1-11-1-11-1-1-111111111-1-11111-1-1-1-1-1-1111111-111-1-1-1-111-1-1
χ16111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-11-1-11-111-1-111
χ1722222222222222-2222-22-2-2-2-22-2-2-2-220000200-200000000220000000000220000-2-2-20000000000
χ1822222222222222-2222-22-2-2-2-22-2-2-2-220000200-200000000-2-20000000000-2-200002220000000000
χ1922222222222222-2-2-22-22-2-2-2-22-2-222-20000-200200000000220000000000-2-20000-2-220000000000
χ2022222222222222-2-2-22-22-2-2-2-22-2-222-20000-200200000000-2-2000000000022000022-20000000000
χ212222222222222-2222-22-222-2-2-2-2-22220020-220-20000002200000000000000-2-200000000-2000000
χ222222222222222-2222-22-222-2-2-2-2-222200-20-2-20-2000000-2-20000000000000022000000002000000
χ232222222222222-22-2-2-22-222-2-2-2-2-2-2-2-200202202000000-2-2000000000000002200000000-2000000
χ242222222222222-22-2-2-22-222-2-2-2-2-2-2-2-200-202-2020000002200000000000000-2-2000000002000000
χ252222222222222-2-222-2-2-2-2-222-222-2-220002-20220000000000-2-2000000000000-2-20000020000000
χ262222222222222-2-222-2-2-2-2-222-222-2-22000-2-20-220000000000220000000000002200000-20000000
χ272222222222222-2-2-2-2-2-2-2-2-222-22222-20002202-2000000000022000000000000-2-200000-20000000
χ282222222222222-2-2-2-2-2-2-2-2-222-22222-2000-220-2-20000000000-2-2000000000000220000020000000
χ2922222-2-2-2-2-2-222220022-2-2-22-2-22-2000000000000022-2-22-2000022-2-20000002-2000000000000000
χ3022222-2-2-2-2-2-222220022-2-2-22-2-22-2000000000000022-2-2-220000-2-222000000-22000000000000000
χ3122222-2-2-2-2-2-222220022-2-2-22-2-22-20000000000000-2-2222-20000-2-2220000002-2000000000000000
χ3222222-2-2-2-2-2-222220022-2-2-22-2-22-20000000000000-2-222-22000022-2-2000000-22000000000000000
χ3322222-2-2-2-2-2-222-2200-222-2-2-222-220002-20000002-200002-20000000022-2-200-22000000000000000
χ3422222-2-2-2-2-2-222-2200-222-2-2-222-220002-20000002-20000-2200000000-2-222002-2000000000000000
χ3522222-2-2-2-2-2-222-2200-222-2-2-222-22000-22000000-2200002-200000000-2-22200-22000000000000000
χ3622222-2-2-2-2-2-222-2200-222-2-2-222-22000-22000000-220000-220000000022-2-2002-2000000000000000
χ37222-2-222-2-22-22-2-22002-222-2-2-2-22200000000000000000002i−2i0000002i−2i2i−2i0000002i−2i000002-20000
χ38222-2-222-2-22-22-2-22002-222-2-2-2-22200000000000000000002i−2i000000−2i2i−2i2i0000002i−2i00000-220000
χ39222-2-222-2-22-22-2-22002-222-2-2-2-2220000000000000000000−2i2i0000002i−2i2i−2i000000−2i2i00000-220000
χ40222-2-222-2-22-22-2-22002-222-2-2-2-2220000000000000000000−2i2i000000−2i2i−2i2i000000−2i2i000002-20000
χ41222-2-222-2-22-22-2-2-200222-2222-2-2-200000000000000000002i−2i002-22-20000000000−2i2i00000002i−2i00
χ42222-2-222-2-22-22-2-2-200222-2222-2-2-200000000000000000002i−2i00-22-220000000000−2i2i0000000−2i2i00
χ43222-2-222-2-22-22-2-2-200222-2222-2-2-20000000000000000000−2i2i002-22-200000000002i−2i0000000−2i2i00
χ44222-2-222-2-22-22-2-2-200222-2222-2-2-20000000000000000000−2i2i00-22-2200000000002i−2i00000002i−2i00
χ45222-2-2-2-222-222-22200-2-22-222-2-2-22000000200-2000000000000000002i−2i−2i2i00002-2000000000002i−2i
χ46222-2-2-2-222-222-22200-2-22-222-2-2-22000000200-200000000000000000−2i2i2i−2i00002-200000000000−2i2i
χ47222-2-2-2-222-222-22200-2-22-222-2-2-22000000-2002000000000000000002i−2i−2i2i0000-2200000000000−2i2i
χ48222-2-2-2-222-222-22200-2-22-222-2-2-22000000-200200000000000000000−2i2i2i−2i0000-22000000000002i−2i
χ49222-2-2-2-222-222-2-2-20022-22-22-22-22000000200-200000000000002-2-2200000000-220002-200000000
χ50222-2-2-2-222-222-2-2-20022-22-22-22-22000000200-20000000000000-222-200000000-22000-2200000000
χ51222-2-2-2-222-222-2-2-20022-22-22-22-22000000-200200000000000002-2-22000000002-2000-2200000000
χ52222-2-2-2-222-222-2-2-20022-22-22-22-22000000-20020000000000000-222-2000000002-20002-200000000
χ53444444444-4-4-4-40044000000000000-422000000-2-22-22-2000000000000000000000000000000000
χ54444444444-4-4-4-40044000000000000-4-2-200000022-22-22000000000000000000000000000000000
χ55444444444-4-4-4-400-4-4000000000000422000000-2-2-22-22000000000000000000000000000000000
χ56444444444-4-4-4-400-4-40000000000004-2-2000000222-22-2000000000000000000000000000000000
χ5744444-4-4-4-444-4-4000000000000004-402-2000000-222-2-22000000000000000000000000000000000
χ5844444-4-4-4-444-4-4000000000000004-40-220000002-2-222-2000000000000000000000000000000000
χ5944444-4-4-4-444-4-400000000000000-4402-2000000-22-222-2000000000000000000000000000000000
χ6044444-4-4-4-444-4-400000000000000-440-220000002-22-2-22000000000000000000000000000000000
χ6144444-4-4-4-4-4-4444-4004-4-444-44-4-4400000000000000000000000000000000000000000000000000
χ6244444-4-4-4-4-4-444-4-400-4-44444-444-400000000000000000000000000000000000000000000000000
χ63444-4-444-4-44-44-44400-4-4-44-4444-4-400000000000000000000000000000000000000000000000000
χ64444-4-444-4-44-44-44-400-44-4-44-4-444400000000000000000000000000000000000000000000000000
χ65444-4-4-4-444-444-44-400-4444-4-44-44-400000000000000000000000000000000000000000000000000
χ66444-4-4-4-444-444-4-44004-4-4-44-4444-400000000000000000000000000000000000000000000000000
χ67888-8-888-8-8-88-880000000000000000000000000000000000000000000000000000000000000000
χ68888-8-8-8-8888-8-880000000000000000000000000000000000000000000000000000000000000000
χ6988-88-88-88-800000000000000000000000000000000000000000000000004-400000000000000000
χ7088-88-88-88-80000000000000000000000000000000000000000000000000-4400000000000000000
χ7188-88-8-88-880000000000000000000000000000000000000004-4000000000000000000000000000
χ7288-88-8-88-88000000000000000000000000000000000000000-44000000000000000000000000000
χ7388-8-888-8-880000008-8000000000000000000000000000000000000000000000000000000000000
χ7488-8-888-8-88000000-88000000000000000000000000000000000000000000000000000000000000
χ7588-8-88-888-800000000000000000000000400-400000000000000000000000000000000000000000
χ7688-8-88-888-800000000000000000000000-400400000000000000000000000000000000000000000
χ7732-32000000000000000000000000000000000000000000000000000000000000000000000000000

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