Finite Group Databasebeta

← Group #347906

Character table — Group #347906

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222444444444444448888888888888888888888161616161616161632323232
order12222244448888224444448888884444444444888888888888888888884444
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1111111-1-1-1-1-111-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111-1-1-1-1111111-1-1-1-1-111-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111-1-1-1-1111111-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111-1-1-1-1111111-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ91111111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ101111111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ111111111111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-111-1-1-11-11
χ121111111111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1111-11-1
χ131111111111-1-1-1-1-1-1-1-11111-1-11111-111-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1111-1-11
χ141111111111-1-1-1-1-1-1-1-11111-1-11111-111-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-111-1
χ151111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-1-111-1-1111111-1-1-1-111-1-1-1-111-111-1
χ161111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-1-111-1-1111111-1-1-1-1-1-11111-1-11-1-11
χ17222222222222222222-2-2-2-2222222-20000-20000-2-2-2-200000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-222-2-2-2-22000020000-2-22200000000000000000000
χ192222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-20000-20000222200000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222200002000022-2-200000000000000000000
χ21222222-2-2-2-2000022-2-222-2-200000020000-2000000002i2i−2i−2i2i2i−2i−2i000000000000
χ22222222-2-2-2-2000022-2-222-2-200000020000-200000000−2i−2i2i2i−2i−2i2i2i000000000000
χ23222222-2-2-2-2000022-2-2-2-222000000-22-22-222-22-2000000000000000000000000
χ24222222-2-2-2-2000022-2-2-2-222000000-2-22-222-22-22000000000000000000000000
χ25222222-2-2-2-20000-2-22222-2-2000000-200002000000002i2i−2i−2i−2i−2i2i2i000000000000
χ26222222-2-2-2-20000-2-22222-2-2000000-20000200000000−2i−2i2i2i2i2i−2i−2i000000000000
χ27222222-2-2-2-20000-2-222-2-22200000022-2-22-22-2-22000000000000000000000000
χ28222222-2-2-2-20000-2-222-2-2220000002-222-2-2-222-2000000000000000000000000
χ292222-2-222-2-2000000002-22-2002i2i−2i−2i00022000-2-2002i−2i2i−2i2i−2i0000000000000000
χ302222-2-222-2-2000000002-22-2002i2i−2i−2i000-2-200022002i−2i−2i2i−2i2i0000000000000000
χ312222-2-222-2-2000000002-22-200−2i−2i2i2i00022000-2-200−2i2i−2i2i−2i2i0000000000000000
χ322222-2-222-2-2000000002-22-200−2i−2i2i2i000-2-20002200−2i2i2i−2i2i−2i0000000000000000
χ332222-2-222-2-200000000-22-22002i2i−2i−2i022000-2-20000−2i2i00002i−2i2i−2i000000000000
χ342222-2-222-2-200000000-22-22002i2i−2i−2i0-2-2000220000−2i2i0000−2i2i−2i2i000000000000
χ352222-2-222-2-200000000-22-2200−2i−2i2i2i022000-2-200002i−2i0000−2i2i−2i2i000000000000
χ362222-2-222-2-200000000-22-2200−2i−2i2i2i0-2-20002200002i−2i00002i−2i2i−2i000000000000
χ372222-2-2-2-222222200002-2-22-2-2000002-2000-22002-2002-2-220000000000000000
χ382222-2-2-2-222222200002-2-22-2-200000-220002-2002-200-222-20000000000000000
χ392222-2-2-2-22222220000-222-2-2-200000002-2000-22-220000002-2-22000000000000
χ402222-2-2-2-22222220000-222-2-2-20000000-220002-2-22000000-222-2000000000000
χ412222-2-2-2-222-2-2-2-200002-2-2222000002-2000-2200-2200-222-20000000000000000
χ422222-2-2-2-222-2-2-2-200002-2-222200000-220002-200-22002-2-220000000000000000
χ432222-2-2-2-222-2-2-2-20000-222-22200000002-2000-222-2000000-222-2000000000000
χ442222-2-2-2-222-2-2-2-20000-222-2220000000-220002-22-20000002-2-22000000000000
χ4522-2-22-22-2-222i2i−2i−2i2-22-200002i−2i2i−2i2i−2i0000000000000000000000i2−i22−2i2−i22−20000
χ4622-2-22-22-2-222i2i−2i−2i2-22-200002i−2i2i−2i2i−2i0000000000000000000000−i2i2−22−i2i2−220000
χ4722-2-22-22-2-222i2i−2i−2i-22-2200002i−2i−2i2i−2i2i0000000000000000000000i2−i22−2−i2i2−220000
χ4822-2-22-22-2-222i2i−2i−2i-22-2200002i−2i−2i2i−2i2i0000000000000000000000−i2i2−22i2−i22−20000
χ4922-2-22-22-2-22−2i−2i2i2i2-22-20000−2i2i−2i2i−2i2i0000000000000000000000i2−i2−22i2−i2−220000
χ5022-2-22-22-2-22−2i−2i2i2i2-22-20000−2i2i−2i2i−2i2i0000000000000000000000−i2i22−2−i2i22−20000
χ5122-2-22-22-2-22−2i−2i2i2i-22-220000−2i2i2i−2i2i−2i0000000000000000000000i2−i2−22−i2i22−20000
χ5222-2-22-22-2-22−2i−2i2i2i-22-220000−2i2i2i−2i2i−2i0000000000000000000000−i2i22−2i2−i2−220000
χ5344-4-44-4-444-400004-4-4400000000000000000000000000000000000000000000
χ5444-4-44-4-444-40000-444-400000000000000000000000000000000000000000000
χ5544-4-4-444-44-4000000000000004-4-440000000000000000000000000000000000
χ5644-4-4-444-44-400000000000000-444-40000000000000000000000000000000000
χ5744-4-4-44-44-444i4i−4i−4i00000000−4i4i00000000000000000000000000000000000000
χ5844-4-4-44-44-44−4i−4i4i4i000000004i−4i00000000000000000000000000000000000000
χ598-88-800000042−4242−42000000000000000000000000000000000000000000000000
χ608-88-8000000−4242−4242000000000000000000000000000000000000000000000000
χ618-8-880000004i2−4i2−4i24i2000000000000000000000000000000000000000000000000
χ628-8-88000000−4i24i24i2−4i2000000000000000000000000000000000000000000000000

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