Finite Group Databasebeta

← Group #72282441

Character table — Group #72282441

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85
size11112222222244444444444444444448888888888888888888816161616161616161616161616161616161616163232323232323232323232323232
order1222222222442222222244444444444222244444444444444442222888888888888888824444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ51111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111
χ71111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1
χ911111-1-1-1-111111-1-1-1-111-1-111-1-1-1-111111-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11-11-11-111-1-111-1-1
χ1011111-1-1-1-111111-1-1-1-111-1-111-1-1-1-111111-1-111-1-111-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-111-1-1111-1-1-1-111
χ1111111-1-1-1-111111-1-1-1-111-1-111-1-1-1-111111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-11-11-11-1-111-1-111
χ1211111-1-1-1-111111-1-1-1-111-1-111-1-1-1-111111-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-111111-1-111-1-1-11111-1-1
χ1311111-1-1-1-111111-1-1-1-111-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-111111-11-11-1-1-111-1-111
χ1411111-1-1-1-111111-1-1-1-111-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-1-111-1-11-1-11111-1-1
χ1511111-1-1-1-111111-1-1-1-111-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-11111-11-11-1111-1-111-1-1
χ1611111-1-1-1-111111-1-1-1-111-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1111111-1-1-1-11-1-111-111-1-1-1-111
χ172222222222222-222-2-22-2-2-2-2-222-2-2-2-22000000002-22-200000000000000000000000000002200-2-200000000
χ182222222222222-222-2-22-2-2-2-2-222-2-2-2-22000000002-22-20000000000000000000000000000-2-2002200000000
χ19222222222222-22-2-222-22-2-2-2-222-2-2-2-2200000000-22-22000000002222000000000000000000-2-20000000000
χ20222222222222-22-2-222-22-2-2-2-222-2-2-2-2200000000-22-2200000000-2-2-2-2000000000000000000220000000000
χ21222222222222-2-2-2-2-2-2-2-22222222222200000000-2-2-2-20000000000002222-2-2-2-20000000000000000000000
χ22222222222222-2-2-2-2-2-2-2-22222222222200000000-2-2-2-2000000000000-2-2-2-222220000000000000000000000
χ232222222222-2-222222222-2-222-2-222-2-2-22222-2-2-2-2-2-2-2-222-2-222-2-20000000000000000000000000000000000
χ242222222222-2-222222222-2-222-2-222-2-2-2-2-2-2-22222-2-2-2-2-2-222-2-2220000000000000000000000000000000000
χ252222222222-2-22-222-2-22-222-2-2-2-2-2-222-200000000-22-22000000000000000000000000000000000000002-22-2
χ262222222222-2-22-222-2-22-222-2-2-2-2-2-222-200000000-22-2200000000000000000000000000000000000000-22-22
χ272222222222-2-2-22-2-222-2222-2-2-2-2-2-222-2000000002-22-200000000000000000000000000000000002-22-20000
χ282222222222-2-2-22-2-222-2222-2-2-2-2-2-222-2000000002-22-20000000000000000000000000000000000-22-220000
χ292222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2000000002222000000000000000000002i2i−2i−2i2i2i−2i−2i00000000000000
χ302222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-2-200000000222200000000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000
χ3122222-2-2-2-22222-2-2-2222-222-2-2-2-222-2-22000000002-2-2200000000000000000000000000002-200-2200000000
χ3222222-2-2-2-22222-2-2-2222-222-2-2-2-222-2-22000000002-2-220000000000000000000000000000-22002-200000000
χ3322222-2-2-2-2222-2222-2-2-2222-2-2-2-222-2-2200000000-222-20000000022-2-2000000000000000000-220000000000
χ3422222-2-2-2-2222-2222-2-2-2222-2-2-2-222-2-2200000000-222-200000000-2-2220000000000000000002-20000000000
χ3522222-2-2-2-2222-2-22222-2-2-2-222-2-2-2-222200000000-2-22200000000000022-2-2-2-2220000000000000000000000
χ3622222-2-2-2-2222-2-22222-2-2-2-222-2-2-2-222200000000-2-222000000000000-2-22222-2-20000000000000000000000
χ3722222-2-2-2-22-2-222-2-2-2-222222222-2-2-2-2-222-2-2-2-222-2-22222-2-2-2-2220000000000000000000000000000000000
χ3822222-2-2-2-22-2-222-2-2-2-222222222-2-2-2-2-2-2-22222-2-2-2-222-2-22222-2-20000000000000000000000000000000000
χ3922222-2-2-2-22-2-22-2-2-2222-2-2-2-2-2222222-200000000-222-2000000000000000000000000000000000000002-2-22
χ4022222-2-2-2-22-2-22-2-2-2222-2-2-2-2-2222222-200000000-222-200000000000000000000000000000000000000-222-2
χ4122222-2-2-2-22-2-2-2222-2-2-22-2-2-2-2222222-2000000002-2-2200000000000000000000000000000000002-2-220000
χ4222222-2-2-2-22-2-2-2222-2-2-22-2-2-2-2222222-2000000002-2-220000000000000000000000000000000000-222-20000
χ4322222-2-2-2-22-2-2-2-22222-2-2222222-2-2-2-2-20000000022-2-2000000000000000000002i2i−2i−2i−2i−2i2i2i00000000000000
χ4422222-2-2-2-22-2-2-2-22222-2-2222222-2-2-2-2-20000000022-2-200000000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000
χ452-22-2-222-2-2200222-22-2-2-2002-2002-200000002i−2i2i−2i0000002i−2i002i−2i00002−22−22−22−2i2−i2i2−i2i2−i2i2−i200000000000000
χ462-22-2-222-2-2200222-22-2-2-2002-2002-200000002i−2i2i−2i0000002i−2i002i−2i0000−22−22−22−22−i2i2−i2i2−i2i2−i2i200000000000000
χ472-22-2-222-2-2200222-22-2-2-2002-2002-20000000−2i2i−2i2i000000−2i2i00−2i2i00002−22−22−22−2−i2i2−i2i2−i2i2−i2i200000000000000
χ482-22-2-222-2-2200222-22-2-2-2002-2002-20000000−2i2i−2i2i000000−2i2i00−2i2i0000−22−22−22−22i2−i2i2−i2i2−i2i2−i200000000000000
χ492-22-2-222-2-2200-2-2-22-2222002-2002-20002-22-2000000002-2002-20000002−22−2−22−222−2−222−2−2200000000000000
χ502-22-2-222-2-2200-2-2-22-2222002-2002-20002-22-2000000002-2002-2000000−22−222−22−2−222−2−222−200000000000000
χ512-22-2-222-2-2200-2-2-22-2222002-2002-2000-22-2200000000-2200-220000002−22−2−22−22−222−2−222−200000000000000
χ522-22-2-222-2-2200-2-2-22-2222002-2002-2000-22-2200000000-2200-22000000−22−222−22−22−2−222−2−2200000000000000
χ532-22-2-2-2-22220022-22-22-2-2002-200-2200000002i−2i−2i2i0000002i−2i00−2i2i00002−2−222−2−22i2−i2i2−i2−i2i2−i2i200000000000000
χ542-22-2-2-2-22220022-22-22-2-2002-200-2200000002i−2i−2i2i0000002i−2i00−2i2i0000−222−2−222−2−i2i2−i2i2i2−i2i2−i200000000000000
χ552-22-2-2-2-22220022-22-22-2-2002-200-220000000−2i2i2i−2i000000−2i2i002i−2i00002−2−222−2−22−i2i2−i2i2i2−i2i2−i200000000000000
χ562-22-2-2-2-22220022-22-22-2-2002-200-220000000−2i2i2i−2i000000−2i2i002i−2i0000−222−2−222−2i2−i2i2−i2−i2i2−i2i200000000000000
χ572-22-2-2-2-222200-2-22-22-222002-200-220002-2-22000000002-200-220000002−2−22−222−22−2−22−222−200000000000000
χ582-22-2-2-2-222200-2-22-22-222002-200-220002-2-22000000002-200-22000000−222−22−2−22−222−22−2−2200000000000000
χ592-22-2-2-2-222200-2-22-22-222002-200-22000-222-200000000-22002-20000002−2−22−222−2−222−22−2−2200000000000000
χ602-22-2-2-2-222200-2-22-22-222002-200-22000-222-200000000-22002-2000000−222−22−2−222−2−22−222−200000000000000
χ614444-44-44-4-4440000000000004-40000-42222-2-2-2-20000-2-222-2-2220000000000000000000000000000000000
χ624444-44-44-4-4440000000000004-40000-4-2-2-2-22222000022-2-222-2-20000000000000000000000000000000000
χ634444-44-44-4-4-4-4000000000000-4400004222222220000-2-2-2-2-2-2-2-20000000000000000000000000000000000
χ644444-44-44-4-4-4-4000000000000-4400004-2-2-2-2-2-2-2-20000222222220000000000000000000000000000000000
χ654444-4-44-44-444000000000000-440000-422-2-2-2-2220000-2-22222-2-20000000000000000000000000000000000
χ664444-4-44-44-444000000000000-440000-4-2-22222-2-2000022-2-2-2-2220000000000000000000000000000000000
χ674444-4-44-44-4-4-40000000000004-40000422-2-222-2-20000-2-2-2-222220000000000000000000000000000000000
χ684444-4-44-44-4-4-40000000000004-400004-2-222-2-22200002222-2-2-2-20000000000000000000000000000000000
χ694-44-444-4-44-400000000004i−4i0000004i−4i02-22-22i−2i2i−2i0000-22−2i2i-22−2i2i0000000000000000000000000000000000
χ704-44-444-4-44-400000000004i−4i0000004i−4i0-22-22−2i2i−2i2i00002-22i−2i2-22i−2i0000000000000000000000000000000000
χ714-44-444-4-44-40000000000−4i4i000000−4i4i02-22-2−2i2i−2i2i0000-222i−2i-222i−2i0000000000000000000000000000000000
χ724-44-444-4-44-40000000000−4i4i000000−4i4i0-22-222i−2i2i−2i00002-2−2i2i2-2−2i2i0000000000000000000000000000000000
χ734-44-44-444-4-400000000004i−4i000000−4i4i02-2-22−2i2i2i−2i0000-222i−2i2-2−2i2i0000000000000000000000000000000000
χ744-44-44-444-4-400000000004i−4i000000−4i4i0-222-22i−2i−2i2i00002-2−2i2i-222i−2i0000000000000000000000000000000000
χ754-44-44-444-4-40000000000−4i4i0000004i−4i02-2-222i−2i−2i2i0000-22−2i2i2-22i−2i0000000000000000000000000000000000
χ764-44-44-444-4-40000000000−4i4i0000004i−4i0-222-2−2i2i2i−2i00002-22i−2i-22−2i2i0000000000000000000000000000000000
χ774-44-4-444-4-44004-44-4-44-4400-4400-44000000000000000000000000000000000000000000000000000000000
χ784-44-4-444-4-4400-44-444-44-400-4400-44000000000000000000000000000000000000000000000000000000000
χ794-44-4-4-4-4444004-4-444-4-4400-44004-4000000000000000000000000000000000000000000000000000000000
χ804-44-4-4-4-444400-444-4-444-400-44004-4000000000000000000000000000000000000000000000000000000000
χ818-8-880000008-8000000000000000000000000000000000000000004-4000000000000000000000000000000
χ828-8-880000008-800000000000000000000000000000000000000000-44000000000000000000000000000000
χ838-8-88000000-880000000000000000000000000000000000000004-400000000000000000000000000000000
χ848-8-88000000-88000000000000000000000000000000000000000-4400000000000000000000000000000000
χ851616-16-16000000000000000000000000000000000000000000000000000000000000000000000000000000000

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