Finite Group Databasebeta

← Group #347919

Character table — Group #347919

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222224444444444444444444488888888888888888888161616161616161632323232
order12222244444444444488888888888822244444448888888888888888884444
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ6111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-111111111-1-1-1-111111-11-1
χ9111111111111-1-1-1-11111111111-1-1-1-1-111-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-11111111111-1-1-1-1-111-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ11111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111
χ12111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-1
χ13111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-111-1-1-1-111-1-1-1-1111111-1-1-1-1111-1-11
χ14111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-111-1-1-1-111-1-1-1-11111-1-11111-1-1-111-1
χ15111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-111-1
χ16111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-11-1-11
χ172222222222-2-22222-2-22222-2-2-2-22222-200-2000000-2-200000000000000000000
χ182222222222-2-22222-2-2-2-2-2-22222-2-2-2-2-200-20000002200000000000000000000
χ192222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-220020000002200000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-2-2222222222002000000-2-200000000000000000000
χ21222222-2-2-2-22222-2-2-2-2000000000000200-2000000002i2i−2i−2i2i2i−2i−2i000000000000
χ22222222-2-2-2-22222-2-2-2-2000000000000200-200000000−2i−2i2i2i−2i−2i2i2i000000000000
χ23222222-2-2-2-222-2-222-2-2000000000000-2002000000002i2i−2i−2i−2i−2i2i2i000000000000
χ24222222-2-2-2-222-2-222-2-2000000000000-200200000000−2i−2i2i2i2i2i−2i−2i000000000000
χ25222222-2-2-2-2-2-222-2-222000000000000-22-222-222-2-20000000000000000000000
χ26222222-2-2-2-2-2-222-2-222000000000000-2-222-22-2-2220000000000000000000000
χ27222222-2-2-2-2-2-2-2-2222200000000000022-2-22-2-2-2220000000000000000000000
χ28222222-2-2-2-2-2-2-2-222220000000000002-22-2-2222-2-20000000000000000000000
χ292222-2-222-2-22-200002-2000000002i2i−2i−2i0000002-22-22i−2i2i−2i2i−2i0000000000000000
χ302222-2-222-2-22-200002-2000000002i2i−2i−2i000000-22-222i−2i−2i2i−2i2i0000000000000000
χ312222-2-222-2-22-200002-200000000−2i−2i2i2i0000002-22-2−2i2i−2i2i−2i2i0000000000000000
χ322222-2-222-2-22-200002-200000000−2i−2i2i2i000000-22-22−2i2i2i−2i2i−2i0000000000000000
χ332222-2-222-2-2-220000-22000000002i2i−2i−2i0220-2-20000−2i2i00002i−2i2i−2i000000000000
χ342222-2-222-2-2-220000-22000000002i2i−2i−2i0-2-20220000−2i2i0000−2i2i−2i2i000000000000
χ352222-2-222-2-2-220000-2200000000−2i−2i2i2i0220-2-200002i−2i0000−2i2i−2i2i000000000000
χ362222-2-222-2-2-220000-2200000000−2i−2i2i2i0-2-202200002i−2i00002i−2i2i−2i000000000000
χ372222-2-2-2-2222-20000-2222-2-222-2-2000002-20-220000002-2-220000000000000000
χ382222-2-2-2-2222-20000-2222-2-222-2-200000-2202-2000000-222-20000000000000000
χ392222-2-2-2-2222-20000-22-2-222-2-222000002-20-22000000-222-20000000000000000
χ402222-2-2-2-2222-20000-22-2-222-2-22200000-2202-20000002-2-220000000000000000
χ412222-2-2-2-222-2200002-222-2-2-2-22200000000002-2-220000002-2-22000000000000
χ422222-2-2-2-222-2200002-222-2-2-2-2220000000000-222-2000000-222-2000000000000
χ432222-2-2-2-222-2200002-2-2-22222-2-200000000002-2-22000000-222-2000000000000
χ442222-2-2-2-222-2200002-2-2-22222-2-20000000000-222-20000002-2-22000000000000
χ4522-2-2-222-22-2002i−2i2i−2i002-22-200002i−2i2i−2i00000000000000000000i2−i22−2i2−i22−20000
χ4622-2-2-222-22-2002i−2i2i−2i002-22-200002i−2i2i−2i00000000000000000000−i2i2−22−i2i2−220000
χ4722-2-2-222-22-2002i−2i2i−2i00-22-220000−2i2i−2i2i00000000000000000000i2−i22−2−i2i2−220000
χ4822-2-2-222-22-2002i−2i2i−2i00-22-220000−2i2i−2i2i00000000000000000000−i2i2−22i2−i22−20000
χ4922-2-2-222-22-200−2i2i−2i2i002-22-20000−2i2i−2i2i00000000000000000000i2−i2−22i2−i2−220000
χ5022-2-2-222-22-200−2i2i−2i2i002-22-20000−2i2i−2i2i00000000000000000000−i2i22−2−i2i22−20000
χ5122-2-2-222-22-200−2i2i−2i2i00-22-2200002i−2i2i−2i00000000000000000000i2−i2−22−i2i22−20000
χ5222-2-2-222-22-200−2i2i−2i2i00-22-2200002i−2i2i−2i00000000000000000000−i2i22−2i2−i2−220000
χ5344-4-44-44-4-4400000000000000004-4-4400000000000000000000000000000000
χ5444-4-44-44-4-440000000000000000-444-400000000000000000000000000000000
χ5544-4-44-4-444-4000000004-4-440000000000000000000000000000000000000000
χ5644-4-44-4-444-400000000-444-40000000000000000000000000000000000000000
χ5744-4-4-44-44-44004i−4i−4i4i0000000000000000000000000000000000000000000000
χ5844-4-4-44-44-4400−4i4i4i−4i0000000000000000000000000000000000000000000000
χ598-88-8000000000000000000004i2−4i2000000000000000000000000000000000000
χ608-88-800000000000000000000−4i24i2000000000000000000000000000000000000
χ618-8-880000000000000000004i2−4i200000000000000000000000000000000000000
χ628-8-88000000000000000000−4i24i200000000000000000000000000000000000000

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