Finite Group Databasebeta

← Group #349467

Character table — Group #349467

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111111112222222222224444444444444444444444888888888888888888888888816161616161616163232
order12222222444444444444444444444444444444444422224444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ911111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ1011111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ1111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-111-11
χ1211111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-11-1
χ1311111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-11
χ1411111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1111-1
χ1511111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1111-1
χ1611111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-11
χ1722222222222-2-2-222222-222-2-20000000022222222-2-200-2-2-20000000000-2-2000000000000000000
χ1822222222222-2-2-222222-222-2-200000000-2-2-2-2-2-2-2-2-2-20022-2000000000022000000000000000000
χ1922222222222-2-2-2-2-2-2-22-2-2-222000000002222-2-2-2-2-2-200-2-22000000000022000000000000000000
χ2022222222222-2-2-2-2-2-2-22-2-2-22200000000-2-2-2-22222-2-2002220000000000-2-2000000000000000000
χ2122222222-2-2-22222222-22-2-2222222222200000000-2-2-2-200-200000000-2-200000000000000000000
χ2222222222-2-2-22222222-22-2-222-2-2-2-2-2-2-2-200000000-2-22200-2000000002200000000000000000000
χ2322222222-2-2-2222-2-2-2-2-2222-2-22222-2-2-2-200000000-2-2-2-2002000000002200000000000000000000
χ2422222222-2-2-2222-2-2-2-2-2222-2-2-2-2-2-2222200000000-2-22200200000000-2-200000000000000000000
χ2522222222-2-2-2-2-2-22222-2-2-2-2-2-20000000000000000220000222-2-222-2-20000000000000000000000
χ2622222222-2-2-2-2-2-22222-2-2-2-2-2-200000000000000002200002-2-222-2-2220000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000220000-222-2-2-2-2220000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000220000-2-2-22222-2-20000000000000000000000
χ29222-2-22-2-222-222-20000-2-2000022-2-2000022-2-200002-22-22-202-22-200000000000000000000000000
χ30222-2-22-2-222-222-20000-2-2000022-2-20000-2-22200002-22-2-220-22-2200000000000000000000000000
χ31222-2-22-2-222-222-20000-2-20000-2-222000022-2-200002-2-222-20-22-2200000000000000000000000000
χ32222-2-22-2-222-222-20000-2-20000-2-2220000-2-22200002-2-22-2202-22-200000000000000000000000000
χ33222-2-22-2-222-2-2-220000-22000000002i2i−2i−2i22-2-20000-2200-22000002i−2i2i−2i2i−2i00000000000000000000
χ34222-2-22-2-222-2-2-220000-22000000002i2i−2i−2i-2-2220000-22002-200000−2i2i−2i2i2i−2i00000000000000000000
χ35222-2-22-2-222-2-2-220000-2200000000−2i−2i2i2i22-2-20000-2200-2200000−2i2i−2i2i−2i2i00000000000000000000
χ36222-2-22-2-222-2-2-220000-2200000000−2i−2i2i2i-2-2220000-22002-2000002i−2i2i−2i−2i2i00000000000000000000
χ37222-2-22-2-2-2-2222-200002-2000022-2-2000000002i2i−2i−2i-22-2200000002i−2i−2i2i002i−2i000000000000000000
χ38222-2-22-2-2-2-2222-200002-2000022-2-200000000−2i−2i2i2i-22-220000000−2i2i2i−2i00−2i2i000000000000000000
χ39222-2-22-2-2-2-2222-200002-20000-2-222000000002i2i−2i−2i-222-20000000−2i2i2i−2i002i−2i000000000000000000
χ40222-2-22-2-2-2-2222-200002-20000-2-22200000000−2i−2i2i2i-222-200000002i−2i−2i2i00−2i2i000000000000000000
χ41222-2-22-2-2-2-22-2-22000022000000002i2i−2i−2i00002i2i−2i−2i2-2000002-2-220000−2i2i−2i2i000000000000000000
χ42222-2-22-2-2-2-22-2-22000022000000002i2i−2i−2i0000−2i−2i2i2i2-200000-222-20000−2i2i2i−2i000000000000000000
χ43222-2-22-2-2-2-22-2-2200002200000000−2i−2i2i2i00002i2i−2i−2i2-200000-222-200002i−2i−2i2i000000000000000000
χ44222-2-22-2-2-2-22-2-2200002200000000−2i−2i2i2i0000−2i−2i2i2i2-2000002-2-2200002i−2i2i−2i000000000000000000
χ4522-22-2-2-220002-2222-2-20-2002-22i−2i2i−2i2i−2i2i−2i000000000000000000000000000i2i2−i2−i2i2i2−i2−i22−22−2000000
χ4622-22-2-2-220002-2222-2-20-2002-22i−2i2i−2i2i−2i2i−2i000000000000000000000000000−i2−i2i2i2−i2−i2i2i2−22−22000000
χ4722-22-2-2-220002-2222-2-20-2002-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000000i2i2−i2−i2i2i2−i2−i2−22−22000000
χ4822-22-2-2-220002-2222-2-20-2002-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000000−i2−i2i2i2−i2−i2i2i22−22−2000000
χ4922-22-2-2-220002-22-2-2220-200-222i−2i2i−2i−2i2i−2i2i000000000000000000000000000i2i2−i2−i2−i2−i2i2i22−2−22000000
χ5022-22-2-2-220002-22-2-2220-200-222i−2i2i−2i−2i2i−2i2i000000000000000000000000000−i2−i2i2i2i2i2−i2−i2−222−2000000
χ5122-22-2-2-220002-22-2-2220-200-22−2i2i−2i2i2i−2i2i−2i000000000000000000000000000i2i2−i2−i2−i2−i2i2i2−222−2000000
χ5222-22-2-2-220002-22-2-2220-200-22−2i2i−2i2i2i−2i2i−2i000000000000000000000000000−i2−i2i2i2i2i2−i2−i22−2−22000000
χ532-22-22-2-222-220002-22-2-202-200000000002i−2i2i−2i2i−2i2i−2i0000000000000000000i2−i2i2−i2i2−i2i2−i200002−22−200
χ542-22-22-2-222-220002-22-2-202-200000000002i−2i2i−2i2i−2i2i−2i0000000000000000000−i2i2−i2i2−i2i2−i2i20000−22−2200
χ552-22-22-2-222-220002-22-2-202-20000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000i2−i2i2−i2i2−i2i2−i20000−22−2200
χ562-22-22-2-222-220002-22-2-202-20000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000−i2i2−i2i2−i2i2−i2i200002−22−200
χ572-22-22-2-222-22000-22-22-20-2200000000002i−2i2i−2i−2i2i−2i2i0000000000000000000i2−i2i2−i2−i2i2−i2i200002−2−2200
χ582-22-22-2-222-22000-22-22-20-2200000000002i−2i2i−2i−2i2i−2i2i0000000000000000000−i2i2−i2i2i2−i2i2−i20000−222−200
χ592-22-22-2-222-22000-22-22-20-220000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000i2−i2i2−i2−i2i2−i2i20000−222−200
χ602-22-22-2-222-22000-22-22-20-220000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000−i2i2−i2i2i2−i2i2−i200002−2−2200
χ6144-44-4-4-44000-44-444-4-40400-4400000000000000000000000000000000000000000000000000000
χ6244-44-4-4-44000-44-4-4-44404004-400000000000000000000000000000000000000000000000000000
χ6344-4-44-44-40004-4-400000400004i−4i−4i4i0000000000000000000000000000000000000000000000000
χ6444-4-44-44-40004-4-40000040000−4i4i4i−4i0000000000000000000000000000000000000000000000000
χ6544-4-44-44-4000-44400000-4000000004-4-44000000000000000000000000000000000000000000000
χ6644-4-44-44-4000-44400000-400000000-444-4000000000000000000000000000000000000000000000
χ674-444-4-44-44-4-40000000400000000000004i−4i−4i4i00000000000000000000000000000000000000000
χ684-444-4-44-44-4-4000000040000000000000−4i4i4i−4i00000000000000000000000000000000000000000
χ694-444-4-44-4-4440000000-4000000000000000004-4-440000000000000000000000000000000000000
χ704-444-4-44-4-4440000000-400000000000000000-444-40000000000000000000000000000000000000
χ714-44-44-4-44-44-40004-44-440-440000000000000000000000000000000000000000000000000000000
χ724-44-44-4-44-44-4000-44-44404-40000000000000000000000000000000000000000000000000000000
χ734-4-4-4-44440000004-4-44000000000000000000000000000000000000000002-2-222-2-220000000000
χ744-4-4-4-44440000004-4-4400000000000000000000000000000000000000000-222-2-222-20000000000
χ754-4-4-4-4444000000-444-4000000000000000000000000000000000000000002-2-22-222-20000000000
χ764-4-4-4-4444000000-444-400000000000000000000000000000000000000000-222-22-2-220000000000
χ778-8-8888-8-8000000000000000000000000000000000000000000000000000000000000000000000

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