Finite Group Databasebeta

← Group #238195

Character table — Group #238195

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size111111112222222222222222222244444444444444444444888888888888888816161616161616161616161616161616
order12222222444444444444444444442244888888888888888844444444888888884444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ91111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-11-111-1-111-1-1
χ101111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-111-11-1-111-1-111
χ111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1111-1-1-11111-1-1
χ121111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1111-1-1-1111-1-1-1-111
χ131111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1111-111-1-1-1-111
χ141111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1111-1-1-11-1-11111-1-1
χ151111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11-111-1-11-1-1-111-1-111
χ161111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-11-1-111-1111-1-111-1-1
χ1722222222222222-2-2-2-2-2-2-2-2-2-222-2-222-2-2000000000000000000000000000000002-20000-2200000000
χ1822222222222222-2-2-2-2-2-2-2-2-2-222-2-222-2-200000000000000000000000000000000-2200002-200000000
χ192222222222-2-2-2-2-2-22222222222-2-2-2-2-2-200000000000000000000000000000000220000-2-200000000
χ202222222222-2-2-2-2-2-22222222222-2-2-2-2-2-200000000000000000000000000000000-2-200002200000000
χ2122222222-2-22222222222-2-2-2-2-2-222-2-2-2-2000000000000000022-2-222-2-2000000000000000000000000
χ2222222222-2-22222222222-2-2-2-2-2-222-2-2-2-20000000000000000-2-222-2-222000000000000000000000000
χ2322222222-2-22222-2-2-2-2-2-22222-2-2-2-2-2-22200000000000000000000000000000000000000002-22-20000
χ2422222222-2-22222-2-2-2-2-2-22222-2-2-2-2-2-2220000000000000000000000000000000000000000-22-220000
χ2522222222-2-2-2-2-2-222-2-2-2-22222-2-22222-2-2000000000000000022-2-2-2-222000000000000000000000000
χ2622222222-2-2-2-2-2-222-2-2-2-22222-2-22222-2-20000000000000000-2-22222-2-2000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000002-2-220000
χ2822222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000-222-20000
χ2922-2-222-2-22222-2-22222-2-222-2-2-2-2-2-22-22-200000000000000000000000000000000002-22-20000000000
χ3022-2-222-2-22222-2-22222-2-222-2-2-2-2-2-22-22-20000000000000000000000000000000000-22-220000000000
χ3122-2-222-2-22222-2-2-2-2-2-222-2-222-2-2222-2-220000000000000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ3222-2-222-2-22222-2-2-2-2-2-222-2-222-2-2222-2-22000000000000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ3322-2-222-2-222-2-22222-2-222-2-222-2-2-2-2-222-200000000000000000000000000000000002-2-220000000000
χ3422-2-222-2-222-2-22222-2-222-2-222-2-2-2-2-222-20000000000000000000000000000000000-222-20000000000
χ3522-2-222-2-222-2-222-2-222-2-222-2-2-2-222-22-220000000000000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ3622-2-222-2-222-2-222-2-222-2-222-2-2-2-222-22-22000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ3722-2-222-2-2-2-222-2-22222-2-2-2-22222-2-2-22-22000000000000000000000000000000000000000000002i−2i2i−2i
χ3822-2-222-2-2-2-222-2-22222-2-2-2-22222-2-2-22-2200000000000000000000000000000000000000000000−2i2i−2i2i
χ3922-2-222-2-2-2-222-2-2-2-2-2-22222-2-22222-222-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
χ4022-2-222-2-2-2-222-2-2-2-2-2-22222-2-22222-222-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ4122-2-222-2-2-2-2-2-22222-2-22222-2-222-2-22-2-22000000000000000000000000000000000000000000002i−2i−2i2i
χ4222-2-222-2-2-2-2-2-22222-2-22222-2-222-2-22-2-2200000000000000000000000000000000000000000000−2i2i2i−2i
χ4322-2-222-2-2-2-2-2-222-2-222-2-2-2-22222222-22-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ4422-2-222-2-2-2-2-2-222-2-222-2-2-2-22222222-22-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
χ452-22-22-22-2002i−2i2i−2i2-22i−2i2i−2i0000002-20000i2i2−i2−i2i2i2−i2−i222−2−222−2−2002i−2i002-22−22−2i2−i2i2−i20000000000000000
χ462-22-22-22-2002i−2i2i−2i2-22i−2i2i−2i0000002-20000i2i2−i2−i2i2i2−i2−i222−2−222−2−200−2i2i00-22−22−22−i2i2−i2i20000000000000000
χ472-22-22-22-2002i−2i2i−2i2-22i−2i2i−2i0000002-20000−i2−i2i2i2−i2−i2i2i2−2−222−2−222002i−2i002-2−22−22−i2i2−i2i20000000000000000
χ482-22-22-22-2002i−2i2i−2i2-22i−2i2i−2i0000002-20000−i2−i2i2i2−i2−i2i2i2−2−222−2−22200−2i2i00-222−22−2i2−i2i2−i20000000000000000
χ492-22-22-22-200−2i2i−2i2i2-2−2i2i−2i2i0000002-20000i2i2−i2−i2i2i2−i2−i2−2−222−2−222002i−2i00-222−22−2−i2i2−i2i20000000000000000
χ502-22-22-22-200−2i2i−2i2i2-2−2i2i−2i2i0000002-20000i2i2−i2−i2i2i2−i2−i2−2−222−2−22200−2i2i002-2−22−22i2−i2i2−i20000000000000000
χ512-22-22-22-200−2i2i−2i2i2-2−2i2i−2i2i0000002-20000−i2−i2i2i2−i2−i2i2i222−2−222−2−2002i−2i00-22−22−22i2−i2i2−i20000000000000000
χ522-22-22-22-200−2i2i−2i2i2-2−2i2i−2i2i0000002-20000−i2−i2i2i2−i2−i2i2i222−2−222−2−200−2i2i002-22−22−2−i2i2−i2i20000000000000000
χ532-2-222-2-22002i−2i−2i2i-22−2i2i2i−2i0000002-2000022−2−2−2−222−i2−i2i2i2i2i2−i2−i22i−2i002-200i2−i2−i2i2−222−20000000000000000
χ542-2-222-2-22002i−2i−2i2i-22−2i2i2i−2i0000002-2000022−2−2−2−222−i2−i2i2i2i2i2−i2−i2−2i2i00-2200−i2i2i2−i22−2−220000000000000000
χ552-2-222-2-22002i−2i−2i2i-22−2i2i2i−2i0000002-20000−2−22222−2−2i2i2−i2−i2−i2−i2i2i22i−2i002-200−i2i2i2−i22−2−220000000000000000
χ562-2-222-2-22002i−2i−2i2i-22−2i2i2i−2i0000002-20000−2−22222−2−2i2i2−i2−i2−i2−i2i2i2−2i2i00-2200i2−i2−i2i2−222−20000000000000000
χ572-2-222-2-2200−2i2i2i−2i-222i−2i−2i2i0000002-2000022−2−2−2−222i2i2−i2−i2−i2−i2i2i22i−2i00-2200i2−i2−i2i22−2−220000000000000000
χ582-2-222-2-2200−2i2i2i−2i-222i−2i−2i2i0000002-2000022−2−2−2−222i2i2−i2−i2−i2−i2i2i2−2i2i002-200−i2i2i2−i2−222−20000000000000000
χ592-2-222-2-2200−2i2i2i−2i-222i−2i−2i2i0000002-20000−2−22222−2−2−i2−i2i2i2i2i2−i2−i22i−2i00-2200−i2i2i2−i2−222−20000000000000000
χ602-2-222-2-2200−2i2i2i−2i-222i−2i−2i2i0000002-20000−2−22222−2−2−i2−i2i2i2i2i2−i2−i2−2i2i002-200i2−i2−i2i22−2−220000000000000000
χ614444-4-4-4-44-4000000000000004-40000000000000022−2222−2222−2222−2200000000000000000000000000000000
χ624444-4-4-4-44-4000000000000004-400000000000000−2222−2222−2222−222200000000000000000000000000000000
χ634444-4-4-4-4-4400000000000000-4400000022−2222−2222−2222−220000000000000000000000000000000000000000
χ644444-4-4-4-4-4400000000000000-44000000−2222−2222−2222−22220000000000000000000000000000000000000000
χ6544-4-4-4-4444-400000000000000-440000002i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ6644-4-4-4-4444-400000000000000-44000000−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ6744-4-4-4-444-44000000000000004-4000000000000002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000000000
χ6844-4-4-4-444-44000000000000004-400000000000000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000000000
χ694-44-44-44-4004i−4i4i−4i-44−4i4i−4i4i000000-440000000000000000000000000000000000000000000000000000
χ704-44-44-44-400−4i4i−4i4i-444i−4i4i−4i000000-440000000000000000000000000000000000000000000000000000
χ714-44-4-44-440000000000004i−4i4i−4i000000002i−2i−2i2i2i−2i−2i2i2-2-222-2-2200000000000000000000000000000000
χ724-44-4-44-440000000000004i−4i4i−4i00000000−2i2i2i−2i−2i2i2i−2i-222-2-222-200000000000000000000000000000000
χ734-44-4-44-44000000000000−4i4i−4i4i000000002i−2i−2i2i2i−2i−2i2i-222-2-222-200000000000000000000000000000000
χ744-44-4-44-44000000000000−4i4i−4i4i00000000−2i2i2i−2i−2i2i2i−2i2-2-222-2-2200000000000000000000000000000000
χ754-4-444-4-44004i−4i−4i4i4-44i−4i−4i4i000000-440000000000000000000000000000000000000000000000000000
χ764-4-444-4-4400−4i4i4i−4i4-4−4i4i4i−4i000000-440000000000000000000000000000000000000000000000000000
χ774-4-44-444-40000000000004i−4i−4i4i000000002-2-22-222-2−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ784-4-44-444-40000000000004i−4i−4i4i00000000-222-22-2-222i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ794-4-44-444-4000000000000−4i4i4i−4i000000002-2-22-222-22i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ804-4-44-444-4000000000000−4i4i4i−4i00000000-222-22-2-22−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000

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