Finite Group Databasebeta

← Group #349513

Character table — Group #349513

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
χ3111111111111111111111111-1-1-1-1111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-1111111111-1-1-1-111111-1-1111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-1111111111-1-1-1-111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ9111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ10111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ11111111111111-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-11
χ12111111111111-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-11-1
χ13111111111111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-11-1-111-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-11
χ14111111111111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-11-1-111-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1
χ15111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1111-1
χ16111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-11
χ172222222222-2-2222222-2-200002222-222-2-200002222-200-2-2-200-2-200000000000000000000000000
χ182222222222-2-2222222-2-20000-2-2-2-2-222-2-20000-2-2-2-2-20022-2002200000000000000000000000000
χ192222222222-2-2-2-2-2-222-2-200002222-2-2-2220000-2-2-2-2-200-2-22002200000000000000000000000000
χ202222222222-2-2-2-2-2-222-2-20000-2-2-2-2-2-2-22200002222-20022200-2-200000000000000000000000000
χ2122222222-2-2222222-2-22222220000-2-2-22222220000-2-2-200-2-2-20000000000000000000000000000
χ2222222222-2-2222222-2-222-2-2-2-20000-2-2-222-2-2-2-20000-22200-2220000000000000000000000000000
χ2322222222-2-222-2-2-2-2-2-22222220000-222-2-2-2-2-2-20000-2-2-2002220000000000000000000000000000
χ2422222222-2-222-2-2-2-2-2-222-2-2-2-20000-222-2-222220000-222002-2-20000000000000000000000000000
χ2522222222-2-2-2-22222-2-2-2-2000000002-2-2-2-200000000200002000022-2-222-2-2000000000000000000
χ2622222222-2-2-2-22222-2-2-2-2000000002-2-2-2-2000000002000020000-2-222-2-222000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-200000000222220000000020000-2000022-2-2-2-222000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-200000000222220000000020000-20000-2-22222-2-2000000000000000000
χ292222-2-2-2-222220000-2-2-2-222-2-222-2-22000000000000-22-22-2000002-22-20000000000000000000000
χ302222-2-2-2-222220000-2-2-2-222-2-2-2-2222000000000000-22-2-2200000-22-220000000000000000000000
χ312222-2-2-2-222220000-2-2-2-2-2-22222-2-22000000000000-2-222-200000-22-220000000000000000000000
χ322222-2-2-2-222220000-2-2-2-2-2-222-2-2222000000000000-2-22-22000002-22-20000000000000000000000
χ332222-2-2-2-222-2-20000-2-222000022-2-2-200002i2i−2i−2i0000200-2202i−2i0000002i−2i2i−2i000000000000000000
χ342222-2-2-2-222-2-20000-2-222000022-2-2-20000−2i−2i2i2i0000200-220−2i2i000000−2i2i−2i2i000000000000000000
χ352222-2-2-2-222-2-20000-2-2220000-2-222-200002i2i−2i−2i00002002-202i−2i000000−2i2i−2i2i000000000000000000
χ362222-2-2-2-222-2-20000-2-2220000-2-222-20000−2i−2i2i2i00002002-20−2i2i0000002i−2i2i−2i000000000000000000
χ372222-2-2-2-2-2-222000022-2-222-2-20000-2000000002i2i−2i−2i2-22000002i−2i00002i−2i−2i2i000000000000000000
χ382222-2-2-2-2-2-222000022-2-222-2-20000-200000000−2i−2i2i2i2-2200000−2i2i0000−2i2i2i−2i000000000000000000
χ392222-2-2-2-2-2-222000022-2-2-2-2220000-2000000002i2i−2i−2i22-2000002i−2i0000−2i2i2i−2i000000000000000000
χ402222-2-2-2-2-2-222000022-2-2-2-2220000-200000000−2i−2i2i2i22-200000−2i2i00002i−2i−2i2i000000000000000000
χ412222-2-2-2-2-2-2-2-20000222200000000200002i2i−2i−2i2i2i−2i−2i-200000−2i2i−2i2i2-2-220000000000000000000000
χ422222-2-2-2-2-2-2-2-20000222200000000200002i2i−2i−2i−2i−2i2i2i-200000−2i2i2i−2i-222-20000000000000000000000
χ432222-2-2-2-2-2-2-2-2000022220000000020000−2i−2i2i2i2i2i−2i−2i-2000002i−2i−2i2i-222-20000000000000000000000
χ442222-2-2-2-2-2-2-2-2000022220000000020000−2i−2i2i2i−2i−2i2i2i-2000002i−2i2i−2i2-2-220000000000000000000000
χ4522-2-22-22-2002-22i2i−2i−2i002-22i−2i2i−2i00000002i−2i2-22-20000000000000000000000i2i2−i2−i222−2−22−2i2−i2000000
χ4622-2-22-22-2002-22i2i−2i−2i002-22i−2i2i−2i00000002i−2i2-22-20000000000000000000000−i2−i2i2i2−2−222−22−i2i2000000
χ4722-2-22-22-2002-22i2i−2i−2i002-2−2i2i−2i2i00000002i−2i-22-220000000000000000000000i2i2−i2−i222−2−2−22−i2i2000000
χ4822-2-22-22-2002-22i2i−2i−2i002-2−2i2i−2i2i00000002i−2i-22-220000000000000000000000−i2−i2i2i2−2−2222−2i2−i2000000
χ4922-2-22-22-2002-2−2i−2i2i2i002-22i−2i2i−2i0000000−2i2i-22-220000000000000000000000i2i2−i2−i2−2−2222−2−i2i2000000
χ5022-2-22-22-2002-2−2i−2i2i2i002-22i−2i2i−2i0000000−2i2i-22-220000000000000000000000−i2−i2i2i222−2−2−22i2−i2000000
χ5122-2-22-22-2002-2−2i−2i2i2i002-2−2i2i−2i2i0000000−2i2i2-22-20000000000000000000000i2i2−i2−i2−2−222−22i2−i2000000
χ5222-2-22-22-2002-2−2i−2i2i2i002-2−2i2i−2i2i0000000−2i2i2-22-20000000000000000000000−i2−i2i2i222−2−22−2−i2i2000000
χ532-22-22-2-222-2002i−2i2i−2i2-20000002i−2i2i−2i02i−2i0000002-22-20000000000000000002−22−2i2−i2i2−i20000i2−i22−200
χ542-22-22-2-222-2002i−2i2i−2i2-20000002i−2i2i−2i02i−2i0000002-22-2000000000000000000−22−22−i2i2−i2i20000−i2i2−2200
χ552-22-22-2-222-2002i−2i2i−2i2-2000000−2i2i−2i2i02i−2i000000-22-220000000000000000002−22−2i2−i2i2−i20000−i2i2−2200
χ562-22-22-2-222-2002i−2i2i−2i2-2000000−2i2i−2i2i02i−2i000000-22-22000000000000000000−22−22−i2i2−i2i20000i2−i22−200
χ572-22-22-2-222-200−2i2i−2i2i2-20000002i−2i2i−2i0−2i2i000000-22-220000000000000000002−22−2−i2i2−i2i20000i2−i2−2200
χ582-22-22-2-222-200−2i2i−2i2i2-20000002i−2i2i−2i0−2i2i000000-22-22000000000000000000−22−22i2−i2i2−i20000−i2i22−200
χ592-22-22-2-222-200−2i2i−2i2i2-2000000−2i2i−2i2i0−2i2i0000002-22-20000000000000000002−22−2−i2i2−i2i20000−i2i22−200
χ602-22-22-2-222-200−2i2i−2i2i2-2000000−2i2i−2i2i0−2i2i0000002-22-2000000000000000000−22−22i2−i2i2−i20000i2−i2−2200
χ6144-4-44-44-400-444i4i−4i−4i00-4400000000000−4i4i00000000000000000000000000000000000000000000
χ6244-4-44-44-400-44−4i−4i4i4i00-44000000000004i−4i00000000000000000000000000000000000000000000
χ6344-4-4-44-44004-4000000-444i−4i−4i4i00000000000000000000000000000000000000000000000000000
χ6444-4-4-44-44004-4000000-44−4i4i4i−4i00000000000000000000000000000000000000000000000000000
χ6544-4-4-44-4400-440000004-400000000000004i−4i−4i4i0000000000000000000000000000000000000000
χ6644-4-4-44-4400-440000004-40000000000000−4i4i4i−4i0000000000000000000000000000000000000000
χ674-44-44-4-44-44004i−4i4i−4i-4400000000000−4i4i0000000000000000000000000000000000000000000000
χ684-44-44-4-44-4400−4i4i−4i4i-44000000000004i−4i0000000000000000000000000000000000000000000000
χ694-44-4-444-44-4000000-440000004i−4i−4i4i0000000000000000000000000000000000000000000000000
χ704-44-4-444-44-4000000-44000000−4i4i4i−4i0000000000000000000000000000000000000000000000000
χ714-44-4-444-4-440000004-400000000000000000004i−4i−4i4i000000000000000000000000000000000000
χ724-44-4-444-4-440000004-40000000000000000000−4i4i4i−4i000000000000000000000000000000000000
χ734-4-4444-4-400004-4-4400000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000
χ744-4-4444-4-400004-4-440000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000
χ754-4-4444-4-40000-444-400000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000
χ764-4-4444-4-40000-444-40000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000
χ778-8-88-8-888000000000000000000000000000000000000000000000000000000000000000000000

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