Finite Group Databasebeta

← Group #241539

Character table — Group #241539

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222222244444488888888888888888888888888888888161616161616161616161616
order12222222222244444444444444444422444444444444448888888888888888244444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ3111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111111111111111-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-11-11-1-11-11-1-1-1-1
χ6111111111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-11-111-11-1-1-1-1-1
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111-11-11111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-11-111111
χ9111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-111-111-1-1
χ10111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-1-1111-1-1
χ11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111-1-11-1-111
χ12111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-111-1-1-111
χ13111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-111-1-111
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-11-1-1111-1-111-1-1
χ1722222222222222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-200002200000000000000000000000000000000
χ1822222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222220000-2-200000000000000000000000000000000
χ19222222222222-2-2-2-2-2-2-2-2222222-2-2-2-222-2-2220000-2-200000000000000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-222-2-200002200000000000000000000000000000000
χ2122222222-2-2-2-22222-2-2-2-22222-2-222-2-20000000000000000000000000000000020200-20-20000
χ2222222222-2-2-2-22222-2-2-2-22222-2-222-2-200000000000000000000000000000000-20-2002020000
χ2322222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-222000000000000000000000000000000000202-20-200000
χ2422222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-222000000000000000000000000000000000-20-220200000
χ2522222222-2-2-2-2-2-2-2-222222222-2-2-2-22200000000000000000000000000000000020-220-200000
χ2622222222-2-2-2-2-2-2-2-222222222-2-2-2-222000000000000000000000000000000000-202-20200000
χ2722222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-20000000000000000000000000000000020-200-2020000
χ2822222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-200000000000000000000000000000000-2020020-20000
χ2922-2-2-222-22-22-22i2i−2i−2i2i2i−2i−2i00000000002-2000000002i−2i000022−2−2i2i2−i2−i222−2−2i2i2−i2−i2000000000000
χ3022-2-2-222-22-22-22i2i−2i−2i2i2i−2i−2i00000000002-2000000002i−2i0000−2−222−i2−i2i2i2−2−222−i2−i2i2i2000000000000
χ3122-2-2-222-22-22-22i2i−2i−2i2i2i−2i−2i0000000000-2200000000−2i2i000022−2−2i2i2−i2−i2−2−222−i2−i2i2i2000000000000
χ3222-2-2-222-22-22-22i2i−2i−2i2i2i−2i−2i0000000000-2200000000−2i2i0000−2−222−i2−i2i2i222−2−2i2i2−i2−i2000000000000
χ3322-2-2-222-22-22-2−2i−2i2i2i−2i−2i2i2i00000000002-200000000−2i2i000022−2−2−i2−i2i2i222−2−2−i2−i2i2i2000000000000
χ3422-2-2-222-22-22-2−2i−2i2i2i−2i−2i2i2i00000000002-200000000−2i2i0000−2−222i2i2−i2−i2−2−222i2i2−i2−i2000000000000
χ3522-2-2-222-22-22-2−2i−2i2i2i−2i−2i2i2i0000000000-22000000002i−2i000022−2−2−i2−i2i2i2−2−222i2i2−i2−i2000000000000
χ3622-2-2-222-22-22-2−2i−2i2i2i−2i−2i2i2i0000000000-22000000002i−2i0000−2−222i2i2−i2−i222−2−2−i2−i2i2i2000000000000
χ372-222-22-2-22-2-222i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i−2i2-22-20000000000000000000000002i−2i2i−2i2-22-2000000000000
χ382-222-22-2-22-2-222i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i−2i2-22-2000000000000000000000000−2i2i−2i2i-22-22000000000000
χ392-222-22-2-22-2-222i−2i2i−2i2i−2i2i−2i−2i−2i2i2i−2i2i-22-2200000000000000002-22-22i−2i2i−2i00000000000000000000
χ402-222-22-2-22-2-222i−2i2i−2i2i−2i2i−2i−2i−2i2i2i−2i2i-22-220000000000000000-22-22−2i2i−2i2i00000000000000000000
χ412-222-22-2-22-2-22−2i2i−2i2i−2i2i−2i2i2i2i−2i−2i2i−2i-22-2200000000000000002-22-2−2i2i−2i2i00000000000000000000
χ422-222-22-2-22-2-22−2i2i−2i2i−2i2i−2i2i2i2i−2i−2i2i−2i-22-220000000000000000-22-222i−2i2i−2i00000000000000000000
χ432-222-22-2-22-2-22−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i−2i2i2-22-20000000000000000000000002i−2i2i−2i-22-22000000000000
χ442-222-22-2-22-2-22−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i−2i2i2-22-2000000000000000000000000−2i2i−2i2i2-22-2000000000000
χ452-222-22-2-2-222-22i−2i2i−2i−2i2i−2i2i2i2i−2i−2i−2i2i2-2-2200000000000000000000000000000000000000002-22i−2i
χ462-222-22-2-2-222-22i−2i2i−2i−2i2i−2i2i2i2i−2i−2i−2i2i2-2-220000000000000000000000000000000000000000-22−2i2i
χ472-222-22-2-2-222-22i−2i2i−2i−2i2i−2i2i−2i−2i2i2i2i−2i-222-200000022-2-2002i2i−2i−2i0000000000000000000000000000
χ482-222-22-2-2-222-22i−2i2i−2i−2i2i−2i2i−2i−2i2i2i2i−2i-222-2000000-2-22200−2i−2i2i2i0000000000000000000000000000
χ492-222-22-2-2-222-2−2i2i−2i2i2i−2i2i−2i2i2i−2i−2i−2i2i-222-200000022-2-200−2i−2i2i2i0000000000000000000000000000
χ502-222-22-2-2-222-2−2i2i−2i2i2i−2i2i−2i2i2i−2i−2i−2i2i-222-2000000-2-222002i2i−2i−2i0000000000000000000000000000
χ512-222-22-2-2-222-2−2i2i−2i2i2i−2i2i−2i−2i−2i2i2i2i−2i2-2-2200000000000000000000000000000000000000002-2−2i2i
χ522-222-22-2-2-222-2−2i2i−2i2i2i−2i2i−2i−2i−2i2i2i2i−2i2-2-220000000000000000000000000000000000000000-222i−2i
χ532-2-2-222-2222-2-22-2-222-2-220000000000002i−2i2i−2i00000000002−2−222−2−22i2−i2−i2i2−i2i2i2−i2000000000000
χ542-2-2-222-2222-2-22-2-222-2-220000000000002i−2i2i−2i0000000000−222−2−222−2−i2i2i2−i2i2−i2−i2i2000000000000
χ552-2-2-222-2222-2-22-2-222-2-22000000000000−2i2i−2i2i00000000002−2−222−2−22−i2i2i2−i2i2−i2−i2i2000000000000
χ562-2-2-222-2222-2-22-2-222-2-22000000000000−2i2i−2i2i0000000000−222−2−222−2i2−i2−i2i2−i2i2i2−i2000000000000
χ572-2-2-222-2222-2-2-222-2-222-20000000000002i−2i−2i2i00000000002−2−22−222−2i2−i2−i2i2i2−i2−i2i2000000000000
χ582-2-2-222-2222-2-2-222-2-222-20000000000002i−2i−2i2i0000000000−222−22−2−22−i2i2i2−i2−i2i2i2−i2000000000000
χ592-2-2-222-2222-2-2-222-2-222-2000000000000−2i2i2i−2i00000000002−2−22−222−2−i2i2i2−i2−i2i2i2−i2000000000000
χ602-2-2-222-2222-2-2-222-2-222-2000000000000−2i2i2i−2i0000000000−222−22−2−22i2−i2−i2i2i2−i2−i2i2000000000000
χ61444-4-4-4-440000000000004i−4i4i−4i0000000000002i−2i2i−2i002-22-20000000000000000000000000000
χ62444-4-4-4-440000000000004i−4i4i−4i000000000000−2i2i−2i2i00-22-220000000000000000000000000000
χ63444-4-4-4-44000000000000−4i4i−4i4i0000000000002i−2i2i−2i00-22-220000000000000000000000000000
χ64444-4-4-4-44000000000000−4i4i−4i4i000000000000−2i2i−2i2i002-22-20000000000000000000000000000
χ6544-4-4-444-4-44-444i4i−4i−4i−4i−4i4i4i000000000000000000000000000000000000000000000000000000
χ6644-4-4-444-4-44-44−4i−4i4i4i4i4i−4i−4i000000000000000000000000000000000000000000000000000000
χ674-44-44-44-40000000000004-4-440000000000002i−2i−2i2i002i−2i−2i2i0000000000000000000000000000
χ684-44-44-44-40000000000004-4-44000000000000−2i2i2i−2i00−2i2i2i−2i0000000000000000000000000000
χ694-44-44-44-4000000000000-444-40000000000002i−2i−2i2i00−2i2i2i−2i0000000000000000000000000000
χ704-44-44-44-4000000000000-444-4000000000000−2i2i2i−2i002i−2i−2i2i0000000000000000000000000000
χ714-4-4-444-44-4-4444-4-44-444-4000000000000000000000000000000000000000000000000000000
χ724-4-4-444-44-4-444-444-44-4-44000000000000000000000000000000000000000000000000000000
χ7388-888-8-8-8000000000000000000000000000000000000000000000000000000000000000000
χ748-8-88-8-888000000000000000000000000000000000000000000000000000000000000000000

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