Finite Group Databasebeta

← Group #72256331

Character table — Group #72256331

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82
size11112222222222444444444444448888888888888816161616161616161616161616161616161616161616161616161616323232323232323232323232
order1222222222222222222222224444222244444444442222224444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-11-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-11-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111
χ11111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-11-11-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111
χ12111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-11-11-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-11-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-11-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-11-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-11-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111
χ172222222222222222-2-2-2-2-2-2-2-22222-2-2-2-22222222222-2-2-2-2000000000000000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ192222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-222000000000000000000000000000000000000
χ202222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2222222-2-2000000000000000000000000000000000000
χ212222222-2-2-2-2222-2-222-2-222-2-2222222-2-2-2-200000000000000000000000022-2-222-2-20000000000000000
χ222222222-2-2-2-2222-2-222-2-222-2-2222222-2-2-2-2000000000000000000000000-2-222-2-2220000000000000000
χ232222222-2-2-2-2222-2-222-2-222-2-2-2-2-2-2-2-2222200000000000000000000000022-2-2-2-2220000000000000000
χ242222222-2-2-2-2222-2-222-2-222-2-2-2-2-2-2-2-22222000000000000000000000000-2-22222-2-20000000000000000
χ252222222-2-2-2-2222-2-2-2-222-2-2222222-2-222-2-20000000000002222-2-2-2-20000000000000000000000000000
χ262222222-2-2-2-2222-2-2-2-222-2-2222222-2-222-2-2000000000000-2-2-2-222220000000000000000000000000000
χ272222222-2-2-2-2222-2-2-2-222-2-222-2-2-2-222-2-2220000000000002-22-2-2-2220000000000000000000000000000
χ282222222-2-2-2-2222-2-2-2-222-2-222-2-2-2-222-2-222000000000000-22-2222-2-20000000000000000000000000000
χ2922222-2-222222-2-2-2-222-2-2-2-22222-2-22-22-22-20000000000000000000022-2-20000000022-2-2000000000000
χ3022222-2-222222-2-2-2-222-2-2-2-22222-2-22-22-22-200000000000000000000-2-22200000000-2-222000000000000
χ3122222-2-222222-2-2-2-222-2-2-2-222-2-222-22-22-220000000000000000000022-2-200000000-2-222000000000000
χ3222222-2-222222-2-2-2-222-2-2-2-222-2-222-22-22-2200000000000000000000-2-2220000000022-2-2000000000000
χ3322222-2-222222-2-2-2-2-2-22222-2-222-2-2-22-222-20000000000000000000000000000000000002-22-200000000
χ3422222-2-222222-2-2-2-2-2-22222-2-222-2-2-22-222-2000000000000000000000000000000000000-22-2200000000
χ3522222-2-222222-2-2-2-2-2-22222-2-2-2-2222-22-2-220000000000000000000000000000000000002-2-2200000000
χ3622222-2-222222-2-2-2-2-2-22222-2-2-2-2222-22-2-22000000000000000000000000000000000000-222-200000000
χ3722222-2-2-2-2-2-22-2-2222222-2-2-2-222-2-22-2-22-22000000000000000000000000000000000000000000002i−2i2i−2i
χ3822222-2-2-2-2-2-22-2-2222222-2-2-2-222-2-22-2-22-2200000000000000000000000000000000000000000000−2i2i−2i2i
χ3922222-2-2-2-2-2-22-2-2222222-2-2-2-2-2-222-222-22-2000000000000000000000000000000000000000000002i−2i−2i2i
χ4022222-2-2-2-2-2-22-2-2222222-2-2-2-2-2-222-222-22-200000000000000000000000000000000000000000000−2i2i2i−2i
χ4122222-2-2-2-2-2-22-2-222-2-2-2-2222222-2-2-222-2-2200000000000000000000000000000000000000002-22-20000
χ4222222-2-2-2-2-2-22-2-222-2-2-2-2222222-2-2-222-2-220000000000000000000000000000000000000000-22-220000
χ4322222-2-2-2-2-2-22-2-222-2-2-2-22222-2-2222-2-222-200000000000000000000000000000000000000002-2-220000
χ4422222-2-2-2-2-2-22-2-222-2-2-2-22222-2-2222-2-222-20000000000000000000000000000000000000000-222-20000
χ452222-2-2-222-2-2-2222-22-22-22-22-20000000000000022-2-2002-2020-2002-200002-22-200000000000000000000
χ462222-2-2-222-2-2-2222-22-22-22-22-20000000000000022-2-2002-20-20200-220000-22-2200000000000000000000
χ472222-2-2-222-2-2-2222-22-22-22-22-200000000000000-2-22200-22020-2002-20000-22-2200000000000000000000
χ482222-2-2-222-2-2-2222-22-22-22-22-200000000000000-2-22200-220-20200-2200002-22-200000000000000000000
χ492222-2-2-222-2-2-2222-2-22-22-22-220000000000000022-2-200-2220-202-200000000002-22-20000000000000000
χ502222-2-2-222-2-2-2222-2-22-22-22-220000000000000022-2-200-22-2020-220000000000-22-220000000000000000
χ512222-2-2-222-2-2-2222-2-22-22-22-2200000000000000-2-222002-220-202-20000000000-22-220000000000000000
χ522222-2-2-222-2-2-2222-2-22-22-22-2200000000000000-2-222002-2-2020-2200000000002-22-20000000000000000
χ532222-2-2-2-2-222-222-222-2-222-2-22000000000022-2-200002-20020-20-220000002-2-2200000000000000000000
χ542222-2-2-2-2-222-222-222-2-222-2-22000000000022-2-200002-200-20202-2000000-222-200000000000000000000
χ552222-2-2-2-2-222-222-222-2-222-2-220000000000-2-2220000-220020-20-22000000-222-200000000000000000000
χ562222-2-2-2-2-222-222-222-2-222-2-220000000000-2-2220000-2200-20202-20000002-2-2200000000000000000000
χ572222-2-2-2-2-222-222-22-222-2-222-2000000000022-2-20000-2200020-200-22000000002-2-220000000000000000
χ582222-2-2-2-2-222-222-22-222-2-222-2000000000022-2-20000-22000-202002-200000000-222-20000000000000000
χ592222-2-2-2-2-222-222-22-222-2-222-20000000000-2-22200002-200020-200-2200000000-222-20000000000000000
χ602222-2-2-2-2-222-222-22-222-2-222-20000000000-2-22200002-2000-202002-2000000002-2-220000000000000000
χ614444-44444-4-4-4-4-4-444-4-44-444-40000000000000000000000000000000000000000000000000000000000
χ624444-44444-4-4-4-4-4-44-444-44-4-440000000000000000000000000000000000000000000000000000000000
χ634444-444-4-444-4-4-44-44-44-4-44-440000000000000000000000000000000000000000000000000000000000
χ644444-444-4-444-4-4-44-4-44-444-44-40000000000000000000000000000000000000000000000000000000000
χ6544-4-444-40000-44-400000000004-44-4000000000000000000000000002i−2i2i−2i000000002i−2i2i−2i000000000000
χ6644-4-444-40000-44-400000000004-44-400000000000000000000000000−2i2i−2i2i00000000−2i2i−2i2i000000000000
χ6744-4-444-40000-44-40000000000-44-44000000000000000000000000002i−2i2i−2i00000000−2i2i−2i2i000000000000
χ6844-4-444-40000-44-40000000000-44-4400000000000000000000000000−2i2i−2i2i000000002i−2i2i−2i000000000000
χ6944-4-44-440000-4-4400000000004-4-44000000000000000000000000002i−2i−2i2i000000002i−2i−2i2i000000000000
χ7044-4-44-440000-4-4400000000004-4-4400000000000000000000000000−2i2i2i−2i00000000−2i2i2i−2i000000000000
χ7144-4-44-440000-4-440000000000-444-4000000000000000000000000002i−2i−2i2i00000000−2i2i2i−2i000000000000
χ7244-4-44-440000-4-440000000000-444-400000000000000000000000000−2i2i2i−2i000000002i−2i−2i2i000000000000
χ7388-8-8-88-800008-8800000000000000000000000000000000000000000000000000000000000000000000
χ7488-8-8-8-88000088-800000000000000000000000000000000000000000000000000000000000000000000
χ758-88-8000008-80000000000000000000000000004-44-40000000000000000000000000000000000000000
χ768-88-8000008-8000000000000000000000000000-44-440000000000000000000000000000000000000000
χ778-88-800000-880000000000000000000000000004-4-440000000000000000000000000000000000000000
χ788-88-800000-88000000000000000000000000000-444-40000000000000000000000000000000000000000
χ798-8-880008-800000000000000000000000004-44-400000000000000000000000000000000000000000000
χ808-8-880008-80000000000000000000000000-44-4400000000000000000000000000000000000000000000
χ818-8-88000-8800000000000000000000000004-4-4400000000000000000000000000000000000000000000
χ828-8-88000-880000000000000000000000000-444-400000000000000000000000000000000000000000000

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