Finite Group Databasebeta

← Group #349497

Character table — Group #349497

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111111112222222222224444444444444444444444888888888888888888888888816161616161616163232
order12222222444444444444222244444444444444444444444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ911111111111-1-1-1-1111111111-1-1-1-1-1-111111-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ1011111111111-1-1-1-1111111111-1-1-1-1-1-111111-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ1111111111111-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-11111-1-1111-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-111-11
χ1211111111111-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-11111-1-1111-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-11-1
χ1311111111111-1-1-1-111111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-111-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-11
χ1411111111111-1-1-1-111111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-111-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1111-1
χ1511111111111-1-1-1-111111-1-1-1-1-1-111111-1-1-1-11111-1-11-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1111-1
χ1611111111111-1-1-1-111111-1-1-1-1-1-111111-1-1-1-11111-1-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-11
χ17222222222222222-2-2-22-22222222222-200000000-2-2-2-2-200-200000000-2-200000000000000000000
χ18222222222222222-2-2-22-2-2-2-2-222-2-2-2-2-200000000-2-2-22200-2000000002200000000000000000000
χ1922222222222-2-2-2-2-2-2-22-22222-2-2-2-2-2-2-20000000022-2-2-2002000000002200000000000000000000
χ2022222222222-2-2-2-2-2-2-22-2-2-2-2-2-2-22222-20000000022-22200200000000-2-200000000000000000000
χ2122222222-2-2-22222222-220000-2-20000-22222222222-200-2-2-20000000000-2-2000000000000000000
χ2222222222-2-2-22222222-220000-2-20000-2-2-2-2-2-2-2-2-222-20022-2000000000022000000000000000000
χ2322222222-2-2-22222-2-2-2-2-20000-2-20000200000000-2-220000222-2-222-2-20000000000000000000000
χ2422222222-2-2-22222-2-2-2-2-20000-2-20000200000000-2-2200002-2-222-2-2220000000000000000000000
χ2522222222-2-2-2-2-2-2-2222-220000220000-22222-2-2-2-2-2-2-200-2-22000000000022000000000000000000
χ2622222222-2-2-2-2-2-2-2222-220000220000-2-2-2-2-22222-2-2-2002220000000000-2-2000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-200002200002000000002220000-222-2-2-2-2220000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-200002200002000000002220000-2-2-22222-2-20000000000000000000000
χ292222-2-2-2-222-222-2-2000-2022-2-22-222-2-20000000000000000000000000000022−2−222−2−22−22−2000000
χ302222-2-2-2-222-222-2-2000-2022-2-22-222-2-200000000000000000000000000000−2−222−2−222−22−22000000
χ312222-2-2-2-222-222-2-2000-20-2-2222-2-2-2220000000000000000000000000000022−2−222−2−2−22−22000000
χ322222-2-2-2-222-222-2-2000-20-2-2222-2-2-22200000000000000000000000000000−2−222−2−2222−22−2000000
χ332222-2-2-2-222-2-2-222000-2022-2-2-22-2-2220000000000000000000000000000022−2−2−2−2222−2−22000000
χ342222-2-2-2-222-2-2-222000-2022-2-2-22-2-22200000000000000000000000000000−2−22222−2−2−222−2000000
χ352222-2-2-2-222-2-2-222000-20-2-222-2222-2-20000000000000000000000000000022−2−2−2−222−222−2000000
χ362222-2-2-2-222-2-2-222000-20-2-222-2222-2-200000000000000000000000000000−2−22222−2−22−2−22000000
χ3722-2-222-2-22-22000022-2-2-22-22-2000000222-2-2000000-22-22-202-22-200000000000000000000000000
χ3822-2-222-2-22-22000022-2-2-22-22-20000002-2-222000000-22-2-220-22-2200000000000000000000000000
χ3922-2-222-2-22-22000022-2-2-2-22-22000000222-2-2000000-2-222-20-22-2200000000000000000000000000
χ4022-2-222-2-22-22000022-2-2-2-22-220000002-2-222000000-2-22-2202-22-200000000000000000000000000
χ4122-2-222-2-22-220000-2-22-222-22-2000000-200002i2i−2i−2i002-2200000002i−2i2i−2i002i−2i000000000000000000
χ4222-2-222-2-22-220000-2-22-222-22-2000000-20000−2i−2i2i2i002-220000000−2i2i−2i2i00−2i2i000000000000000000
χ4322-2-222-2-22-220000-2-22-22-22-22000000-200002i2i−2i−2i0022-20000000−2i2i−2i2i002i−2i000000000000000000
χ4422-2-222-2-22-220000-2-22-22-22-22000000-20000−2i−2i2i2i0022-200000002i−2i2i−2i00−2i2i000000000000000000
χ4522-2-222-2-2-22-2000022-22-20000002i−2i2i−2i-222-2-2000000200-22000002i−2i−2i2i2i−2i00000000000000000000
χ4622-2-222-2-2-22-2000022-22-20000002i−2i2i−2i-2-2-2220000002002-200000−2i2i2i−2i2i−2i00000000000000000000
χ4722-2-222-2-2-22-2000022-22-2000000−2i2i−2i2i-222-2-2000000200-2200000−2i2i2i−2i−2i2i00000000000000000000
χ4822-2-222-2-2-22-2000022-22-2000000−2i2i−2i2i-2-2-2220000002002-2000002i−2i−2i2i−2i2i00000000000000000000
χ4922-2-222-2-2-22-20000-2-22220000002i−2i2i−2i200002i2i−2i−2i00-2000002-2-220000−2i2i−2i2i000000000000000000
χ5022-2-222-2-2-22-20000-2-22220000002i−2i2i−2i20000−2i−2i2i2i00-200000-222-20000−2i2i2i−2i000000000000000000
χ5122-2-222-2-2-22-20000-2-2222000000−2i2i−2i2i200002i2i−2i−2i00-200000-222-200002i−2i−2i2i000000000000000000
χ5222-2-222-2-2-22-20000-2-2222000000−2i2i−2i2i20000−2i−2i2i2i00-2000002-2-2200002i−2i2i−2i000000000000000000
χ532-2-222-2-220002-22-22-220-2000000000002i−2i2i−2i2i−2i2i−2i2-2000000000000000000i2−i2i2−i2i2−i2i2−i200002−22−200
χ542-2-222-2-220002-22-22-220-2000000000002i−2i2i−2i2i−2i2i−2i2-2000000000000000000−i2i2−i2i2−i2i2−i2i20000−22−2200
χ552-2-222-2-220002-22-22-220-200000000000−2i2i−2i2i−2i2i−2i2i2-2000000000000000000i2−i2i2−i2i2−i2i2−i20000−22−2200
χ562-2-222-2-220002-22-22-220-200000000000−2i2i−2i2i−2i2i−2i2i2-2000000000000000000−i2i2−i2i2−i2i2−i2i200002−22−200
χ572-2-222-2-22000-22-222-220-2000000000002i−2i2i−2i−2i2i−2i2i-22000000000000000000i2−i2i2−i2−i2i2−i2i200002−2−2200
χ582-2-222-2-22000-22-222-220-2000000000002i−2i2i−2i−2i2i−2i2i-22000000000000000000−i2i2−i2i2i2−i2i2−i20000−222−200
χ592-2-222-2-22000-22-222-220-200000000000−2i2i−2i2i2i−2i2i−2i-22000000000000000000i2−i2i2−i2−i2i2−i2i20000−222−200
χ602-2-222-2-22000-22-222-220-200000000000−2i2i−2i2i2i−2i2i−2i-22000000000000000000−i2i2−i2i2i2−i2i2−i200002−2−2200
χ614444-4-4-4-4-4-4444-4-4000400000-44000000000000000000000000000000000000000000000000000
χ624444-4-4-4-4-4-44-4-4440004000004-4000000000000000000000000000000000000000000000000000
χ6344-4-4-4-4444-4-40000000404-4-4400000000000000000000000000000000000000000000000000000
χ6444-4-4-4-4444-4-4000000040-444-400000000000000000000000000000000000000000000000000000
χ6544-4-4-4-444-4440000000-400000004i−4i−4i4i00000000000000000000000000000000000000000000000
χ6644-4-4-4-444-4440000000-40000000−4i4i4i−4i00000000000000000000000000000000000000000000000
χ674-44-44-44-400000004-4-404000000000004i−4i−4i4i000000000000000000000000000000000000000000
χ684-44-44-44-400000004-4-40400000000000−4i4i4i−4i000000000000000000000000000000000000000000
χ694-44-44-44-40000000-4440-40000000000000004-4-4400000000000000000000000000000000000000
χ704-44-44-44-40000000-4440-4000000000000000-444-400000000000000000000000000000000000000
χ714-4-444-4-440004-44-4-44-4040000000000000000000-44000000000000000000000000000000000000
χ724-4-444-4-44000-44-44-44-40400000000000000000004-4000000000000000000000000000000000000
χ734-4-44-444-40004-4-44000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000
χ744-4-44-444-40004-4-4400000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000
χ754-4-44-444-4000-444-4000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000
χ764-4-44-444-4000-444-400000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000
χ778-88-8-88-88000000000000000000000000000000000000000000000000000000000000000000000

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