Finite Group Databasebeta

← Group #72258515

Character table — Group #72258515

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size111122222244444444444444448888881616161616161616161616161616161616161616161616161616161616161616323232323232323232323232
order1222222222222222222222222222444422222244444444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ91111111111111111-1-1-1-1111111-1-1-1-1-1-11-11-11111-1-111-1-11-11-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ101111111111111111-1-1-1-1111111-1-1-1-1-1-11-11-1-1-111-1-111-1-11-11-1-1-11111-1-1-1-11111-1-111-1-111-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-11-1-111111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-11-1-11-1-111-1-1-1-1111-1-11-1-1-1-1-1-111111111-1-11111-1-111-1-1
χ131111111111111111-1-1-1-1111111-1-1-1-1-1-1-111-111-1-11111-1-1-111-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ141111111111111111-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1111111-1-1-1-1-1-1-11-1111-1-111-1-111-11-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ161111111111111111-1-1-1-1111111-1-1-1-1-1-1-11-11-1-1-1-111-1-111-11-11-1-11111-1-1-1-1111111-1-111-1-1-1-111
χ17222222222222-2-2-2-2222222-2-2-2-222-2-2-2-20000000000000000000022-2-222-2-20000000000000000
χ18222222222222-2-2-2-2222222-2-2-2-222-2-2-2-200000000000000000000-2-222-2-2220000000000000000
χ19222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-222220000000000000000000022-2-2-2-2220000000000000000
χ20222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2222200000000000000000000-2-22222-2-20000000000000000
χ212222222222-2-222-2-22222-2-222-2-2-2-222-2-20022000000-2-2-2-2002200000000000000000000000000
χ222222222222-2-222-2-22222-2-222-2-2-2-222-2-200-2-2000000222200-2-200000000000000000000000000
χ232222222222-2-222-2-2-2-2-2-2-2-222-2-222-2-222002-2000000-2-222002-200000000000000000000000000
χ242222222222-2-222-2-2-2-2-2-2-2-222-2-222-2-22200-2200000022-2-200-2200000000000000000000000000
χ252222222222-2-2-2-2222222-2-2-2-222-2-2-2-222220000-2-2-2-20000220000000000000000000000000000
χ262222222222-2-2-2-2222222-2-2-2-222-2-2-2-222-2-2000022220000-2-20000000000000000000000000000
χ272222222222-2-2-2-222-2-2-2-2-2-2-2-2222222-2-22-20000-2-22200002-20000000000000000000000000000
χ282222222222-2-2-2-222-2-2-2-2-2-2-2-2222222-2-2-22000022-2-20000-220000000000000000000000000000
χ2922222-2-22-2-222222222-2-2-2-2-2-2-2-22-22-22-200000000000000000000000000000000000000002i−2i2i−2i
χ3022222-2-22-2-222222222-2-2-2-2-2-2-2-22-22-22-20000000000000000000000000000000000000000−2i2i−2i2i
χ3122222-2-22-2-2222222-2-222-2-2-2-2-2-2-22-22-2200000000000000000000000000000000000000002i−2i−2i2i
χ3222222-2-22-2-2222222-2-222-2-2-2-2-2-2-22-22-220000000000000000000000000000000000000000−2i2i2i−2i
χ3322222-2-22-2-222-2-2-2-222-2-2-2-222222-2-22-22000022000000000000-2-20000000022-2-2000000000000
χ3422222-2-22-2-222-2-2-2-222-2-2-2-222222-2-22-220000-2-20000000000002200000000-2-222000000000000
χ3522222-2-22-2-222-2-2-2-2-2-222-2-22222-222-22-2000022000000000000-2-200000000-2-222000000000000
χ3622222-2-22-2-222-2-2-2-2-2-222-2-22222-222-22-20000-2-2000000000000220000000022-2-2000000000000
χ3722222-2-22-2-2-2-222-2-222-2-222-2-222-222-2-22000000000000000000000000000000002-22-200000000
χ3822222-2-22-2-2-2-222-2-222-2-222-2-222-222-2-2200000000000000000000000000000000-22-2200000000
χ3922222-2-22-2-2-2-222-2-2-2-22222-2-2222-2-222-2000000000000000000000000000000002-2-2200000000
χ4022222-2-22-2-2-2-222-2-2-2-22222-2-2222-2-222-200000000000000000000000000000000-222-200000000
χ4122222-2-22-2-2-2-2-2-22222-2-22222-2-2-22-222-20000000000000000000000000000000000002-22-20000
χ4222222-2-22-2-2-2-2-2-22222-2-22222-2-2-22-222-2000000000000000000000000000000000000-22-220000
χ4322222-2-22-2-2-2-2-2-222-2-2222222-2-22-22-2-220000000000000000000000000000000000002-2-220000
χ4422222-2-22-2-2-2-2-2-222-2-2222222-2-22-22-2-22000000000000000000000000000000000000-222-20000
χ452222-2-2-2-2222-22-22-200002-22-22-2000000020200002-2002-20-20-2002-22-200000000000000000000
χ462222-2-2-2-2222-22-22-200002-22-22-2000000020-200002-200-220-20200-22-2200000000000000000000
χ472222-2-2-2-2222-22-22-200002-22-22-20000000-2020000-22002-2020-200-22-2200000000000000000000
χ482222-2-2-2-2222-22-22-200002-22-22-20000000-20-20000-2200-220202002-22-200000000000000000000
χ492222-2-2-2-2222-2-22-2200002-2-22-220000002020002-2002-200-20-20002-2-2200000000000000000000
χ502222-2-2-2-2222-2-22-2200002-2-22-2200000020-20002-200-2200-202000-222-200000000000000000000
χ512222-2-2-2-2222-2-22-2200002-2-22-22000000-202000-22002-20020-2000-222-200000000000000000000
χ522222-2-2-2-2222-2-22-2200002-2-22-22000000-20-2000-2200-22002020002-2-2200000000000000000000
χ532222-2-2-2-222-222-2-220000-222-2-22000000200200-220000-22-200-20000002-22-20000000000000000
χ542222-2-2-2-222-222-2-220000-222-2-22000000200-200-2200002-2-2002000000-22-220000000000000000
χ552222-2-2-2-222-222-2-220000-222-2-22000000-2002002-20000-22200-2000000-22-220000000000000000
χ562222-2-2-2-222-222-2-220000-222-2-22000000-200-2002-200002-220020000002-22-20000000000000000
χ572222-2-2-2-222-22-222-20000-22-222-200000002200000-22-22000-2-200000002-2-220000000000000000
χ582222-2-2-2-222-22-222-20000-22-222-200000002-200000-222-2000-220000000-222-20000000000000000
χ592222-2-2-2-222-22-222-20000-22-222-20000000-22000002-2-220002-20000000-222-20000000000000000
χ602222-2-2-2-222-22-222-20000-22-222-20000000-2-2000002-22-20002200000002-2-220000000000000000
χ614444-444-4-4-44-44-44-40000-44-44-4400000000000000000000000000000000000000000000000000
χ624444-444-4-4-44-4-44-440000-444-44-400000000000000000000000000000000000000000000000000
χ634444-444-4-4-4-444-4-4400004-4-444-400000000000000000000000000000000000000000000000000
χ644444-444-4-4-4-44-444-400004-44-4-4400000000000000000000000000000000000000000000000000
χ654-4-44-44-444-40000004-44-400000000000000002-20000000000002-2000000002-22-2000000000000
χ664-4-44-44-444-40000004-44-40000000000000000-22000000000000-2200000000-22-22000000000000
χ674-4-44-44-444-4000000-44-4400000000000000002-20000000000002-200000000-22-22000000000000
χ684-4-44-44-444-4000000-44-440000000000000000-22000000000000-22000000002-22-2000000000000
χ694-4-44-4-444-440000004-4-4400000000000000002-2000000000000-22000000002-2-22000000000000
χ704-4-44-4-444-440000004-4-440000000000000000-220000000000002-200000000-222-2000000000000
χ714-4-44-4-444-44000000-444-400000000000000002-2000000000000-2200000000-222-2000000000000
χ724-4-44-4-444-44000000-444-40000000000000000-220000000000002-2000000002-2-22000000000000
χ738-8-8888-8-8-88000000000000000000000000000000000000000000000000000000000000000000
χ748-8-888-88-88-8000000000000000000000000000000000000000000000000000000000000000000
χ751616-16-16000000000000000000000000000000000000000000000000000000000000000000000000
χ7616-1616-16000000000000000000000000000000000000000000000000000000000000000000000000

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