Finite Group Databasebeta

← Group #294722

Character table — Group #294722

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444444444444444444444448888888888888888444444444488888888444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1
χ911111111-1-1-1-1111-1-1-1-111111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-11111-1-11-1
χ1011111111-1-1-1-1111-1-1-1-111111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-111-1-1-1-111-11
χ1111111111-1-1-1-1111-1-1-1-111111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-11-1-111-1-111-11
χ1211111111-1-1-1-1111-1-1-1-111111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111111-111-1-111-1-11-1
χ1311111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1111-1-111-1-1-11
χ1411111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1-111-1-1111-1
χ1511111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1111-1-1-1-1111-1
χ1611111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-11-1-1-11111-1-1-11
χ17222222222222222-2-2-2-2-2-2-2-22222222-2-2-2-200000000000000002200-2-200-2-200000000000000000000
χ18222222222222222-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-20000000000000000-2-20022002200000000000000000000
χ19222222222222-2-2-222222222-2-2-20000-2-2-2-20000000000000000002200220000000000-2-20000000000
χ20222222222222-2-2-222222222-2-2-20000-2-2-2-2000000000000000000-2-200-2-20000000000220000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2000022220000000000000000000000000000000000002-22-2000000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200002222000000000000000000000000000000000000-22-22000000
χ2322222222-2-2-2-22222222-2-2-2-22-2-2222222-2-20000000000000000-2-200-2-2002200000000000000000000
χ2422222222-2-2-2-22222222-2-2-2-22-2-2-2-2-2-222-2-2000000000000000022002200-2-200000000000000000000
χ2522222222-2-2-2-2-2-2-22222-2-2-2-2-2220000-2-2220000000000000000000000000000000000002-2-22000000
χ2622222222-2-2-2-2-2-2-22222-2-2-2-2-2220000-2-222000000000000000000000000000000000000-222-2000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-22222-222000022-2-20000000000000000002200-2-200000000002-20000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-22222-222000022-2-2000000000000000000-2-200220000000000-220000000000
χ292222-2-2-2-222-2-222-200000000-22-222-2-200002222−2−2−2−22222−2−2−2−22-20000000022−2−222−2−2000000000000
χ302222-2-2-2-222-2-222-200000000-22-222-2-20000−2−2−2−22222−2−2−2−222222-200000000−2−222−2−222000000000000
χ312222-2-2-2-222-2-222-200000000-22-2-2-22200002222−2−2−2−22222−2−2−2−2-2200000000−2−222−2−222000000000000
χ322222-2-2-2-222-2-222-200000000-22-2-2-2220000−2−2−2−22222−2−2−2−22222-220000000022−2−222−2−2000000000000
χ332222-2-2-2-2-2-22222-200000000-2-2222-2-200002222−2−2−2−2−2−2−2−22222-220000000022−2−2−2−222000000000000
χ342222-2-2-2-2-2-22222-200000000-2-2222-2-20000−2−2−2−222222222−2−2−2−2-2200000000−2−22222−2−2000000000000
χ352222-2-2-2-2-2-22222-200000000-2-22-2-22200002222−2−2−2−2−2−2−2−222222-200000000−2−22222−2−2000000000000
χ362222-2-2-2-2-2-22222-200000000-2-22-2-2220000−2−2−2−222222222−2−2−2−22-20000000022−2−2−2−222000000000000
χ372-22-222-2-200002-2-222-2-200002002i−2i2i−2i2-20022−2−222−2−222−2−222−2−2000000002i−2ii2−i2i2−i2i2−i2i2−i2000000000000
χ382-22-222-2-200002-2-222-2-200002002i−2i2i−2i2-200−2−222−2−222−2−222−2−222000000002i−2i−i2i2−i2i2−i2i2−i2i2000000000000
χ392-22-222-2-200002-2-222-2-20000200−2i2i−2i2i2-20022−2−222−2−222−2−222−2−200000000−2i2i−i2i2−i2i2−i2i2−i2i2000000000000
χ402-22-222-2-200002-2-222-2-20000200−2i2i−2i2i2-200−2−222−2−222−2−222−2−22200000000−2i2ii2−i2i2−i2i2−i2i2−i2000000000000
χ412-22-222-2-200002-2-2-2-22200002002i−2i2i−2i-220022−2−222−2−2−2−222−2−22200000000−2i2ii2−i2i2−i2−i2i2−i2i2000000000000
χ422-22-222-2-200002-2-2-2-22200002002i−2i2i−2i-2200−2−222−2−22222−2−222−2−200000000−2i2i−i2i2−i2i2i2−i2i2−i2000000000000
χ432-22-222-2-200002-2-2-2-2220000200−2i2i−2i2i-220022−2−222−2−2−2−222−2−222000000002i−2i−i2i2−i2i2i2−i2i2−i2000000000000
χ442-22-222-2-200002-2-2-2-2220000200−2i2i−2i2i-2200−2−222−2−22222−2−222−2−2000000002i−2ii2−i2i2−i2−i2i2−i2i2000000000000
χ452-22-2-2-22200002-2200002-22-2-2002i−2i−2i2i002-20000000022-2-2-2-22200002i−2i000000002i−2i−2i2i000000000000
χ462-22-2-2-22200002-2200002-22-2-2002i−2i−2i2i002-200000000-2-22222-2-200002i−2i00000000−2i2i2i−2i000000000000
χ472-22-2-2-22200002-2200002-22-2-200−2i2i2i−2i002-20000000022-2-2-2-2220000−2i2i00000000−2i2i2i−2i000000000000
χ482-22-2-2-22200002-2200002-22-2-200−2i2i2i−2i002-200000000-2-22222-2-20000−2i2i000000002i−2i−2i2i000000000000
χ492-22-2-2-22200002-220000-22-22-2002i−2i−2i2i00-2222-2-2-2-222000000000000−2i2i00002i−2i−2i2i0000000000000000
χ502-22-2-2-22200002-220000-22-22-2002i−2i−2i2i00-22-2-22222-2-2000000000000−2i2i0000−2i2i2i−2i0000000000000000
χ512-22-2-2-22200002-220000-22-22-200−2i2i2i−2i00-2222-2-2-2-2220000000000002i−2i0000−2i2i2i−2i0000000000000000
χ522-22-2-2-22200002-220000-22-22-200−2i2i2i−2i00-22-2-22222-2-20000000000002i−2i00002i−2i−2i2i0000000000000000
χ532-2-22-222-22i−2i2i−2i0002i−2i2i−2i2-2-2200000000000i2−i2i2−i2i2−i2i2−i22−22−22−22−2002i−2i002-200000000000000002−2i2−i200
χ542-2-22-222-22i−2i2i−2i0002i−2i2i−2i2-2-2200000000000i2−i2i2−i2i2−i2i2−i22−22−22−22−200−2i2i00-220000000000000000−22−i2i200
χ552-2-22-222-22i−2i2i−2i0002i−2i2i−2i2-2-2200000000000−i2i2−i2i2−i2i2−i2i2−22−22−22−22002i−2i002-20000000000000000−22−i2i200
χ562-2-22-222-22i−2i2i−2i0002i−2i2i−2i2-2-2200000000000−i2i2−i2i2−i2i2−i2i2−22−22−22−2200−2i2i00-2200000000000000002−2i2−i200
χ572-2-22-222-2−2i2i−2i2i000−2i2i−2i2i2-2-2200000000000i2−i2i2−i2i2−i2i2−i2−22−22−22−22002i−2i00-2200000000000000002−2−i2i200
χ582-2-22-222-2−2i2i−2i2i000−2i2i−2i2i2-2-2200000000000i2−i2i2−i2i2−i2i2−i2−22−22−22−2200−2i2i002-20000000000000000−22i2−i200
χ592-2-22-222-2−2i2i−2i2i000−2i2i−2i2i2-2-2200000000000−i2i2−i2i2−i2i2−i2i22−22−22−22−2002i−2i00-220000000000000000−22i2−i200
χ602-2-22-222-2−2i2i−2i2i000−2i2i−2i2i2-2-2200000000000−i2i2−i2i2−i2i2−i2i22−22−22−22−200−2i2i002-200000000000000002−2−i2i200
χ614444-4-4-4-444-4-4-4-44000000004-44000000000000000000000000000000000000000000000000000000
χ624444-4-4-4-4-4-444-4-440000000044-4000000000000000000000000000000000000000000000000000000
χ6344-4-44-44-40000000000044-4-4000000000000000000022−22−2222−222222−22000000000000000000000000000000
χ6444-4-44-44-40000000000044-4-40000000000000000000−222222−2222−22−2222000000000000000000000000000000
χ6544-4-44-44-400000000000-4-444000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000000000
χ6644-4-44-44-400000000000-4-44400000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000000000
χ6744-4-4-44-4400000004i−4i−4i4i0000000000000002i−2i−2i2i2i−2i−2i2i2-2-222-2-22000000000000000000000000000000
χ6844-4-4-44-4400000004i−4i−4i4i000000000000000−2i2i2i−2i−2i2i2i−2i-222-2-222-2000000000000000000000000000000
χ6944-4-4-44-440000000−4i4i4i−4i0000000000000002i−2i−2i2i2i−2i−2i2i-222-2-222-2000000000000000000000000000000
χ7044-4-4-44-440000000−4i4i4i−4i000000000000000−2i2i2i−2i−2i2i2i−2i2-2-222-2-22000000000000000000000000000000
χ714-44-444-4-40000-44444-4-40000-4000000-44000000000000000000000000000000000000000000000000
χ724-44-444-4-40000-444-4-4440000-40000004-4000000000000000000000000000000000000000000000000
χ734-44-4-4-4440000-44-400004-44-4400000000-440000000000000000000000000000000000000000000000
χ744-44-4-4-4440000-44-40000-44-444000000004-40000000000000000000000000000000000000000000000
χ754-4-444-4-444i−4i−4i4i00000000000000000000002i−2i2i−2i−2i2i−2i2i2-22-2-22-22000000000000000000000000000000
χ764-4-444-4-444i−4i−4i4i0000000000000000000000−2i2i−2i2i2i−2i2i−2i-22-222-22-2000000000000000000000000000000
χ774-4-444-4-44−4i4i4i−4i00000000000000000000002i−2i2i−2i−2i2i−2i2i-22-222-22-2000000000000000000000000000000
χ784-4-444-4-44−4i4i4i−4i0000000000000000000000−2i2i−2i2i2i−2i2i−2i2-22-2-22-22000000000000000000000000000000
χ794-4-44-444-44i−4i4i−4i000−4i4i−4i4i-444-4000000000000000000000000000000000000000000000000000000000
χ804-4-44-444-4−4i4i−4i4i0004i−4i4i−4i-444-4000000000000000000000000000000000000000000000000000000000

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