Finite Group Databasebeta

← Group #276409

Character table — Group #276409

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111111112222222222224444444444444444444444888888888888888888888888816161616161616163232
order12222222444444444444444444444444448888888822444888888888888888888884444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
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
χ6111111111111111111111111-1-1-1-111-1-1-1-111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111
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
χ911111111111-1-1-1-11111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11-1
χ1011111111111-1-1-1-11111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-11
χ1111111111111-1-1-1-11111111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-111-11
χ1211111111111-1-1-1-11111111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-11-1
χ1311111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-11111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-11
χ1411111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1
χ1511111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111-1
χ1611111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-11
χ17222222222-2-2222222-22-2-2-2220000-2-200002222222200-200-2-2-2-200000000000000000000000000
χ18222222222-2-2222222-22-2-2-2220000-2-20000-2-2-2-2-2-2-2-200-200222200000000000000000000000000
χ19222222222-2-2-2-2-2-222-22-2-2-2-2-200002200002222-2-2-2-200200-2-22200000000000000000000000000
χ20222222222-2-2-2-2-2-222-22-2-2-2-2-20000220000-2-2-2-222220020022-2-200000000000000000000000000
χ2122222222-2222222-2-22-22-2-2-2-2222222-2-2-2-200000000-2-2-222000000000000000000000000000000
χ2222222222-2222222-2-22-22-2-2-2-2-2-2-2-22222220000000022-2-2-2000000000000000000000000000000
χ2322222222-222-2-2-2-2-2-22-22-2-2222222-2-2-2-2-2-200000000222-2-2000000000000000000000000000000
χ2422222222-222-2-2-2-2-2-22-22-2-222-2-2-2-2-2-2222200000000-2-2222000000000000000000000000000000
χ2522222222-2-2-22222-2-2-2-2-222-2-20000-2-200000000000000200000000002i2i−2i−2i2i2i−2i−2i00000000000000
χ2622222222-2-2-22222-2-2-2-2-222-2-20000-2-20000000000000020000000000−2i−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
χ2922-22-22-2-222-20000-2-2-2222-2002i2i−2i−2i002i2i−2i−2i000000000000000002i2i−2i−2i0000000000002-200000000
χ3022-22-22-2-222-20000-2-2-2222-2002i2i−2i−2i002i2i−2i−2i00000000000000000−2i−2i2i2i000000000000-2200000000
χ3122-22-22-2-222-20000-2-2-2222-200−2i−2i2i2i00−2i−2i2i2i000000000000000002i2i−2i−2i000000000000-2200000000
χ3222-22-22-2-222-20000-2-2-2222-200−2i−2i2i2i00−2i−2i2i2i00000000000000000−2i−2i2i2i0000000000002-200000000
χ3322-22-22-2-2-22-2000022-2-22-22002i2i−2i−2i00−2i−2i2i2i0000000000000000000000000000022-2-2002i−2i000000
χ3422-22-22-2-2-22-2000022-2-22-22002i2i−2i−2i00−2i−2i2i2i00000000000000000000000000000-2-22200−2i2i000000
χ3522-22-22-2-2-22-2000022-2-22-2200−2i−2i2i2i002i2i−2i−2i0000000000000000000000000000022-2-200−2i2i000000
χ3622-22-22-2-2-22-2000022-2-22-2200−2i−2i2i2i002i2i−2i−2i00000000000000000000000000000-2-222002i−2i000000
χ372-2-222-2-2220022-2-22-20-20002-200000000002i2i−2i−2i2i2i−2i−2i000000000i2−i2i2−i200000000i2−i2i2−i200002−22−200
χ382-2-222-2-2220022-2-22-20-20002-200000000002i2i−2i−2i2i2i−2i−2i000000000−i2i2−i2i200000000−i2i2−i2i20000−22−2200
χ392-2-222-2-2220022-2-22-20-20002-20000000000−2i−2i2i2i−2i−2i2i2i000000000i2−i2i2−i200000000i2−i2i2−i20000−22−2200
χ402-2-222-2-2220022-2-22-20-20002-20000000000−2i−2i2i2i−2i−2i2i2i000000000−i2i2−i2i200000000−i2i2−i2i200002−22−200
χ412-2-222-2-22200-2-2222-20-2000-2200000000002i2i−2i−2i−2i−2i2i2i000000000i2−i2i2−i200000000−i2i2−i2i200002−2−2200
χ422-2-222-2-22200-2-2222-20-2000-2200000000002i2i−2i−2i−2i−2i2i2i000000000−i2i2−i2i200000000i2−i2i2−i20000−222−200
χ432-2-222-2-22200-2-2222-20-2000-220000000000−2i−2i2i2i2i2i−2i−2i000000000i2−i2i2−i200000000−i2i2−i2i20000−222−200
χ442-2-222-2-22200-2-2222-20-2000-220000000000−2i−2i2i2i2i2i−2i−2i000000000−i2i2−i2i200000000i2−i2i2−i200002−2−2200
χ452-2-2-2-22220222-22-200-20-200002i−2i2i−2i2-200002−22−22−22−20002i−2i2−22−20000i2−i2i2−i2i2−i2i2−i200000000000000
χ462-2-2-2-22220222-22-200-20-200002i−2i2i−2i2-20000−22−22−22−220002i−2i−22−220000−i2i2−i2i2−i2i2−i2i200000000000000
χ472-2-2-2-22220222-22-200-20-20000−2i2i−2i2i2-200002−22−22−22−2000−2i2i2−22−20000−i2i2−i2i2−i2i2−i2i200000000000000
χ482-2-2-2-22220222-22-200-20-20000−2i2i−2i2i2-20000−22−22−22−22000−2i2i−22−220000i2−i2i2−i2i2−i2i2−i200000000000000
χ492-2-2-2-2222022-22-2200-20-200002i−2i2i−2i-2200002−22−2−22−22000−2i2i2−2−220000i2−i2i2−i2−i2i2−i2i200000000000000
χ502-2-2-2-2222022-22-2200-20-200002i−2i2i−2i-220000−22−222−22−2000−2i2i−222−20000−i2i2−i2i2i2−i2i2−i200000000000000
χ512-2-2-2-2222022-22-2200-20-20000−2i2i−2i2i-2200002−22−2−22−220002i−2i2−2−220000−i2i2−i2i2i2−i2i2−i200000000000000
χ522-2-2-2-2222022-22-2200-20-20000−2i2i−2i2i-220000−22−222−22−20002i−2i−222−20000i2−i2i2−i2−i2i2−i2i200000000000000
χ532-2-2-2-22220-2-22-22-20020200000000-222-22-22−22−22−22−22-2000−22−2200002−2−222−2−2200000000000000
χ542-2-2-2-22220-2-22-22-20020200000000-222-22-2−22−22−22−222-20002−22−20000−222−2−222−200000000000000
χ552-2-2-2-22220-2-22-22-20020200000000-22-22-222−22−22−22−2-22000−22−220000−222−2−222−200000000000000
χ562-2-2-2-22220-2-22-22-20020200000000-22-22-22−22−22−22−22-220002−22−200002−2−222−2−2200000000000000
χ572-2-2-2-22220-2-2-22-2200202000000002-22-22-22−22−2−22−22-22000−222−200002−2−22−222−200000000000000
χ582-2-2-2-22220-2-2-22-2200202000000002-22-22-2−22−222−22−2-220002−2−220000−222−22−2−2200000000000000
χ592-2-2-2-22220-2-2-22-2200202000000002-2-22-222−22−2−22−222-2000−222−20000−222−22−2−2200000000000000
χ602-2-2-2-22220-2-2-22-2200202000000002-2-22-22−22−222−22−22-20002−2−2200002−2−22−222−200000000000000
χ61444-4-4-4-440004-4-4400000000000000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000000
χ62444-4-4-4-440004-4-440000000000000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000000
χ63444-4-4-4-44000-444-400000000000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000000
χ64444-4-4-4-44000-444-40000000000000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000000
χ6544-44-44-4-44-440000-4-444-4-440000000000000000000000000000000000000000000000000000000
χ6644-44-44-4-4-4-440000444-4-44-40000000000000000000000000000000000000000000000000000000
χ674-444-4-44-44000000-440-40000000000000000000000000000000022−22−22220000000000000000000000
χ684-444-4-44-44000000-440-400000000000000000000000000000000−222222−220000000000000000000000
χ694-444-4-44-4-40000004-404000000000000000000000000000000000000000000002i2−2i2−2i22i20000000000
χ704-444-4-44-4-40000004-40400000000000000000000000000000000000000000000−2i22i22i2−2i20000000000
χ714-44-444-4-404-400000040-400004-4-440000000000000000000000000000000000000000000000000
χ724-44-444-4-404-400000040-40000-444-40000000000000000000000000000000000000000000000000
χ734-44-444-4-40-44000000-40400000000004i−4i−4i4i0000000000000000000000000000000000000000000
χ744-44-444-4-40-44000000-4040000000000−4i4i4i−4i0000000000000000000000000000000000000000000
χ754-4-444-4-44-40044-4-4-4404000-4400000000000000000000000000000000000000000000000000000
χ764-4-444-4-44-400-4-444-44040004-400000000000000000000000000000000000000000000000000000
χ7788-8-88-88-8000000000000000000000000000000000000000000000000000000000000000000000

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