Finite Group Databasebeta

← Group #279313

Character table — Group #279313

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111111112222222222224444444444444444444444888888888888888888888888816161616161616163232
order12222222444444444444444444444444448888888844444888888888888888888884444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-111-1-1-1-111111111-1-11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-111-1-1-1-111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ911111111111-1-1-1-111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-11-1
χ1011111111111-1-1-1-111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-111-11
χ1111111111111-1-1-1-111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-11
χ1211111111111-1-1-1-111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11111-1-11-1
χ1311111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11
χ1411111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1111-1
χ1511111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1111-1
χ1611111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1-11
χ172222222222-22222-2-222-222-2-20000-2-200002222222200-2000000-2-2-2-20000000000000000000000
χ182222222222-22222-2-222-222-2-20000-2-20000-2-2-2-2-2-2-2-200-200000022220000000000000000000000
χ192222222222-2-2-2-2-2-2-222-2-2-2220000-2-200002222-2-2-2-2002000000-2-2220000000000000000000000
χ202222222222-2-2-2-2-2-2-222-2-2-2220000-2-20000-2-2-2-2222200200000022-2-20000000000000000000000
χ2122222222-2-22222222-2-22-2-2222222-2-2-2-2-2-20000000022-2-2-2000000000000000000000000000000
χ2222222222-2-22222222-2-22-2-222-2-2-2-2-2-2222200000000-2-2-222000000000000000000000000000000
χ2322222222-2-22-2-2-2-222-2-2222-2-22222-2-2-2-2-2-200000000-2-2222000000000000000000000000000000
χ2422222222-2-22-2-2-2-222-2-2222-2-2-2-2-2-2-2-2222200000000222-2-2000000000000000000000000000000
χ2522222222-2-2-22222-2-2-2-2-2-2-2-2-200002200000000000000200000000002i2i−2i−2i2i2i−2i−2i00000000000000
χ2622222222-2-2-22222-2-2-2-2-2-2-2-2-20000220000000000000020000000000−2i−2i2i2i−2i−2i2i2i00000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222200002200000000000000-200000000002i2i−2i−2i−2i−2i2i2i00000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222200002200000000000000-20000000000−2i−2i2i2i2i2i−2i−2i00000000000000
χ2922-22-2-22-222200002-2-2-2-2000022-2-22-222-2-2000000000000022-2-200000000000000002-200000000
χ3022-22-2-22-222200002-2-2-2-2000022-2-22-222-2-20000000000000-2-2220000000000000000-2200000000
χ3122-22-2-22-222200002-2-2-2-20000-2-2222-2-2-222000000000000022-2-20000000000000000-2200000000
χ3222-22-2-22-222200002-2-2-2-20000-2-2222-2-2-2220000000000000-2-22200000000000000002-200000000
χ3322-22-2-22-2-2-2200002-222-2000022-2-2-22-2-222000000000000000000000000000002i2i−2i−2i002i−2i000000
χ3422-22-2-22-2-2-2200002-222-2000022-2-2-22-2-22200000000000000000000000000000−2i−2i2i2i00−2i2i000000
χ3522-22-2-22-2-2-2200002-222-20000-2-222-2222-2-2000000000000000000000000000002i2i−2i−2i00−2i2i000000
χ3622-22-2-22-2-2-2200002-222-20000-2-222-2222-2-200000000000000000000000000000−2i−2i2i2i002i−2i000000
χ3722-2-22-2-222-202i2i−2i−2i002-202i−2i00000000000022-2-22i2i−2i−2i000002−22−2000000000000i2−i2i2−i200002−2i2−i200
χ3822-2-22-2-222-202i2i−2i−2i002-202i−2i00000000000022-2-22i2i−2i−2i00000−22−22000000000000−i2i2−i2i20000−22−i2i200
χ3922-2-22-2-222-202i2i−2i−2i002-202i−2i000000000000-2-222−2i−2i2i2i000002−22−2000000000000i2−i2i2−i20000−22−i2i200
χ4022-2-22-2-222-202i2i−2i−2i002-202i−2i000000000000-2-222−2i−2i2i2i00000−22−22000000000000−i2i2−i2i200002−2i2−i200
χ4122-2-22-2-222-20−2i−2i2i2i002-20−2i2i00000000000022-2-2−2i−2i2i2i000002−22−2000000000000−i2i2−i2i200002−2−i2i200
χ4222-2-22-2-222-20−2i−2i2i2i002-20−2i2i00000000000022-2-2−2i−2i2i2i00000−22−22000000000000i2−i2i2−i20000−22i2−i200
χ4322-2-22-2-222-20−2i−2i2i2i002-20−2i2i000000000000-2-2222i2i−2i−2i000002−22−2000000000000−i2i2−i2i20000−22i2−i200
χ4422-2-22-2-222-20−2i−2i2i2i002-20−2i2i000000000000-2-2222i2i−2i−2i00000−22−22000000000000i2−i2i2−i200002−2−i2i200
χ452-222-2-2-220022i−2i2i−2i-2-2002002i−2i2-22-20000002−22−2i2−i2i2−i22i−2i00000002−2i2−i22−22−2i2−i2i2−i200000000000000
χ462-222-2-2-220022i−2i2i−2i-2-2002002i−2i2-22-2000000−22−22−i2i2−i2i22i−2i0000000−22−i2i2−22−22−i2i2−i2i200000000000000
χ472-222-2-2-220022i−2i2i−2i-2-2002002i−2i-22-220000002−22−2i2−i2i2−i2−2i2i00000002−2i2−i2−22−22−i2i2−i2i200000000000000
χ482-222-2-2-220022i−2i2i−2i-2-2002002i−2i-22-22000000−22−22−i2i2−i2i2−2i2i0000000−22−i2i22−22−2i2−i2i2−i200000000000000
χ492-222-2-2-22002−2i2i−2i2i-2-200200−2i2i2-22-20000002−22−2−i2i2−i2i2−2i2i00000002−2−i2i22−22−2−i2i2−i2i200000000000000
χ502-222-2-2-22002−2i2i−2i2i-2-200200−2i2i2-22-2000000−22−22i2−i2i2−i2−2i2i0000000−22i2−i2−22−22i2−i2i2−i200000000000000
χ512-222-2-2-22002−2i2i−2i2i-2-200200−2i2i-22-220000002−22−2−i2i2−i2i22i−2i00000002−2−i2i2−22−22i2−i2i2−i200000000000000
χ522-222-2-2-22002−2i2i−2i2i-2-200200−2i2i-22-22000000−22−22i2−i2i2−i22i−2i0000000−22i2−i22−22−2−i2i2−i2i200000000000000
χ532-222-2-2-2200-22i−2i2i−2i2200-200−2i2i0000002i−2i2i−2i2−22−2i2−i2i2−i20002-20000−22−i2i2i2−i2−i2i2−222−200000000000000
χ542-222-2-2-2200-22i−2i2i−2i2200-200−2i2i0000002i−2i2i−2i−22−22−i2i2−i2i20002-200002−2i2−i2−i2i2i2−i22−2−2200000000000000
χ552-222-2-2-2200-22i−2i2i−2i2200-200−2i2i000000−2i2i−2i2i2−22−2i2−i2i2−i2000-220000−22−i2i2−i2i2i2−i22−2−2200000000000000
χ562-222-2-2-2200-22i−2i2i−2i2200-200−2i2i000000−2i2i−2i2i−22−22−i2i2−i2i2000-2200002−2i2−i2i2−i2−i2i2−222−200000000000000
χ572-222-2-2-2200-2−2i2i−2i2i2200-2002i−2i0000002i−2i2i−2i2−22−2−i2i2−i2i2000-220000−22i2−i2i2−i2−i2i22−2−2200000000000000
χ582-222-2-2-2200-2−2i2i−2i2i2200-2002i−2i0000002i−2i2i−2i−22−22i2−i2i2−i2000-2200002−2−i2i2−i2i2i2−i2−222−200000000000000
χ592-222-2-2-2200-2−2i2i−2i2i2200-2002i−2i000000−2i2i−2i2i2−22−2−i2i2−i2i20002-20000−22i2−i2−i2i2i2−i2−222−200000000000000
χ602-222-2-2-2200-2−2i2i−2i2i2200-2002i−2i000000−2i2i−2i2i−22−22i2−i2i2−i20002-200002−2−i2i2i2−i2−i2i22−2−2200000000000000
χ61444-4-44-4-44-40000000-44000000000000000000000000000022−22−222200000000000000000000000000
χ62444-4-44-4-44-40000000-440000000000000000000000000000−222222−2200000000000000000000000000
χ63444-4-44-4-4-4400000004-40000000000000000000000000000000000000000000022−22−22220000000000
χ64444-4-44-4-4-4400000004-400000000000000000000000000000000000000000000−222222−220000000000
χ6544-44-4-44-444-40000-44-4-4400000000-4400000000000000000000000000000000000000000000000
χ6644-44-4-44-4-4-4-40000-44444000000004-400000000000000000000000000000000000000000000000
χ6744-4-44-4-44-4404i4i−4i−4i00-440−4i4i0000000000000000000000000000000000000000000000000000000
χ6844-4-44-4-44-440−4i−4i4i4i00-4404i−4i0000000000000000000000000000000000000000000000000000000
χ694-4-4444-4-40040000-4400-400004-4-440000000000000000000000000000000000000000000000000
χ704-4-4444-4-40040000-4400-40000-444-40000000000000000000000000000000000000000000000000
χ714-4-4444-4-400-400004-400400000000004i−4i−4i4i0000000000000000000000000000000000000000000
χ724-4-4444-4-400-400004-40040000000000−4i4i4i−4i0000000000000000000000000000000000000000000
χ734-4-4-4-44440004-4-44000000000000000000022−22−222222−22−222200000000000000000000000000000000000
χ744-4-4-4-44440004-4-440000000000000000000−222222−22−222222−2200000000000000000000000000000000000
χ754-4-4-4-4444000-444-4000000000000000000022−22−2222−222222−2200000000000000000000000000000000000
χ764-4-4-4-4444000-444-40000000000000000000−222222−2222−22−222200000000000000000000000000000000000
χ778-88-88-88-8000000000000000000000000000000000000000000000000000000000000000000000

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