Finite Group Databasebeta

← Group #72337435

Character table — Group #72337435

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79
size1111222222444444444444448888888888888888888888888161616161616161616161616163232323232323232323232323232323232
order1222224444222222444444882222224444888888888888888222244444448844444444448888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1111-1-1-1-111-1-1-1-111-1-1-1-1111-1-1-1-1
χ31111111111111111111111111111-1-1111111111111111111111-1-1-1-1-111-1-1-1-11-11-1-1-11111-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-11111111111111111111-1-111-1-1-1-1-111-1-1-11-11-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-111111-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-11-11-111-1-1-1-1-1111111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-11-11111111-111-1-1-1-1
χ91111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1
χ101111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-111-1-1-1-1-111
χ111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111-11-11-1-111-1-1111-1-111
χ121111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111-11-1-1-1-1-11111111-1-1
χ131111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111-111-1-111
χ141111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-1-1-11111-1-111-1-1-11111-1-1
χ151111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-111-11-1111-1-1111-1-111-1-1
χ161111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-111111-11-11111-1-11-1-1-1-111
χ17222222222222-2-2-2-22-2-2-2-22220000000000222-2-2-2-200000000002200000-2-200020-20000000000000
χ18222222222222-2-2-2-22-2-2-2-22220000000000222-2-2-2-20000000000-2-20000022000-2020000000000000
χ19222222222222-2-2-2-22-2-2-2-22-2-20000000000-2-2-2222200000000002200000-2-2000-2020000000000000
χ20222222222222-2-2-2-22-2-2-2-22-2-20000000000-2-2-222220000000000-2-2000002200020-20000000000000
χ212222222222-2-222-2-2-22-2-22-22200002200002-2-222-2-20000000000002-2-20000220000000000-2000000
χ222222222222-2-222-2-2-22-2-22-2220000-2-200002-2-222-2-2000000000000-2220000-2-200000000002000000
χ232222222222-2-222-2-2-22-2-22-2-2-20000220000-222-2-2220000000000002-2-20000-2-200000000002000000
χ242222222222-2-222-2-2-22-2-22-2-2-20000-2-20000-222-2-222000000000000-2220000220000000000-2000000
χ252222222222-2-2-2-222-2-222-2-22200000000002-2-2-2-222000000002200000-2-2000020-200000000000000
χ262222222222-2-2-2-222-2-222-2-22200000000002-2-2-2-22200000000-2-200000220000-20200000000000000
χ272222222222-2-2-2-222-2-222-2-2-2-20000000000-22222-2-2000000002200000-2-20000-20200000000000000
χ282222222222-2-2-2-222-2-222-2-2-2-20000000000-22222-2-200000000-2-20000022000020-200000000000000
χ29222222-2-2-2-22222-2-2-2-222-2-200000022000000000002i2i2i2i−2i−2i−2i−2i0000-22-2000000000000000002i−2i0000
χ30222222-2-2-2-22222-2-2-2-222-2-20000002200000000000−2i−2i−2i−2i2i2i2i2i0000-22-200000000000000000−2i2i0000
χ31222222-2-2-2-22222-2-2-2-222-2-2000000-2-2000000000002i2i2i2i−2i−2i−2i−2i00002-2200000000000000000−2i2i0000
χ32222222-2-2-2-22222-2-2-2-222-2-2000000-2-200000000000−2i−2i−2i−2i2i2i2i2i00002-22000000000000000002i−2i0000
χ33222222-2-2-2-2-2-222222-2-2-2-220022-2-22222-2-20000000000000000000-2-2200000000002-200000000000
χ34222222-2-2-2-2-2-222222-2-2-2-220022-2-2-2-222-2-2000000000000000000022-20000000000-2200000000000
χ35222222-2-2-2-2-2-222222-2-2-2-2200-2-22222-2-2220000000000000000000-2-220000000000-2200000000000
χ36222222-2-2-2-2-2-222222-2-2-2-2200-2-222-2-2-2-222000000000000000000022-200000000002-200000000000
χ372-2-22-222-2-222-22-22-2-2-22-222000000000000000000022-2-222-2-2002-2000002-2000000000000000002-2
χ382-2-22-222-2-222-22-22-2-2-22-222000000000000000000022-2-222-2-200-2200000-2200000000000000000-22
χ392-2-22-222-2-222-22-22-2-2-22-2220000000000000000000-2-222-2-222002-2000002-200000000000000000-22
χ402-2-22-222-2-222-22-22-2-2-22-2220000000000000000000-2-222-2-22200-2200000-22000000000000000002-2
χ412-2-22-222-2-222-2-22-22-22-22-22002-22-2002-22-2000000000000000002-200000-220000000000000002-200
χ422-2-22-222-2-222-2-22-22-22-22-22002-22-2002-22-200000000000000000-22000002-2000000000000000-2200
χ432-2-22-222-2-222-2-22-22-22-22-2200-22-2200-22-22000000000000000002-200000-22000000000000000-2200
χ442-2-22-222-2-222-2-22-22-22-22-2200-22-2200-22-2200000000000000000-22000002-20000000000000002-200
χ452-2-22-22-222-22-22-2-22222-2-2-200000000000000000002i2i−2i−2i−2i−2i2i2i2-2000002-20000000000002i−2i0000000
χ462-2-22-22-222-22-22-2-22222-2-2-200000000000000000002i2i−2i−2i−2i−2i2i2i-2200000-22000000000000−2i2i0000000
χ472-2-22-22-222-22-22-2-22222-2-2-20000000000000000000−2i−2i2i2i2i2i−2i−2i2-2000002-2000000000000−2i2i0000000
χ482-2-22-22-222-22-22-2-22222-2-2-20000000000000000000−2i−2i2i2i2i2i−2i−2i-2200000-220000000000002i−2i0000000
χ492-2-22-22-222-2-22-22-22-2-22-222002-2-22002-2-220000000000000002-200000-2200000000002-2000000000
χ502-2-22-22-222-2-22-22-22-2-22-222002-2-22002-2-22000000000000000-22000002-20000000000-22000000000
χ512-2-22-22-222-2-22-22-22-2-22-22200-222-200-222-20000000000000002-200000-220000000000-22000000000
χ522-2-22-22-222-2-22-22-22-2-22-22200-222-200-222-2000000000000000-22000002-200000000002-2000000000
χ53444444-4-4-4-444-4-444-44-4-44-4000000000000000000000000000000000000000000000000000000000
χ54444444-4-4-4-4-4-4-4-4-4-4444444000000000000000000000000000000000000000000000000000000000
χ554444-4-444-4-400000000000000222200-2-2-2-20004i−4i002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000
χ564444-4-444-4-400000000000000222200-2-2-2-2000−4i4i00−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000
χ574444-4-444-4-400000000000000-2-2-2-20022220004i−4i00−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000
χ584444-4-444-4-400000000000000-2-2-2-2002222000−4i4i002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000
χ594444-4-4-4-4440000000000004422-2-200-2-222-40000002-22-2-22-22000000000000000000000000000000
χ604444-4-4-4-44400000000000044-2-2220022-2-2-4000000-22-222-22-2000000000000000000000000000000
χ614444-4-4-4-444000000000000-4-422-2-200-2-2224000000-22-222-22-2000000000000000000000000000000
χ624444-4-4-4-444000000000000-4-4-2-2220022-2-240000002-22-2-22-22000000000000000000000000000000
χ634-4-444-44-44-4000000000000002-22-200-22-22000004i−4i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ644-4-444-44-44-4000000000000002-22-200-22-2200000−4i4i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ654-4-444-44-44-400000000000000-22-22002-22-2000004i−4i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ664-4-444-44-44-400000000000000-22-22002-22-200000−4i4i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ674-4-444-4-44-44000000000000002-2-2200-222-204-400002-2-22-222-2000000000000000000000000000000
χ684-4-444-4-44-44000000000000002-2-2200-222-20-440000-222-22-2-22000000000000000000000000000000
χ694-4-444-4-44-4400000000000000-222-2002-2-2204-40000-222-22-2-22000000000000000000000000000000
χ704-4-444-4-44-4400000000000000-222-2002-2-220-4400002-2-22-222-2000000000000000000000000000000
χ714-4-44-444-4-44-444-4-444-4-444-4000000000000000000000000000000000000000000000000000000000
χ724-4-44-444-4-44-44-444-4444-4-4-4000000000000000000000000000000000000000000000000000000000
χ734-4-44-44-444-44-4-444-44-4-444-4000000000000000000000000000000000000000000000000000000000
χ744-4-44-44-444-4-444-44-4-44-44-44000000000000000000000000000000000000000000000000000000000
χ7588-8-80000000000000000004i2−4i200004-40000000000000000000000000000002i2−2i200000000000000000
χ7688-8-80000000000000000004i2−4i20000-44000000000000000000000000000000−2i22i200000000000000000
χ7788-8-8000000000000000000−4i24i200004-4000000000000000000000000000000−2i22i200000000000000000
χ7888-8-8000000000000000000−4i24i20000-440000000000000000000000000000002i2−2i200000000000000000
χ7916-1616-16000000000000000000000000000000000000000000000000000000000000000000000000000

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