Finite Group Databasebeta

← Group #347372

Character table — Group #347372

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444488888888888888888888888888888881616161616161616323232
order12222244444444444222222224444444444444444444888844888888488
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-11-1-1
χ411111111111111111111111-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ511111111111111111-1-1-1-1-1-11-11-111111-1-1-11-1-1111-1-1-1111111-1-111-1-1-11-1
χ611111111111111111-1-1-1-1-1-11-11-111111-1-1-11-1-1111-1-1-1-1-1-1-1-1-111-1-1111-11
χ711111111111111111-1-1-1-1-1-1-11-1111-1-1-11111-1-1-1-1-1111111111-1-1-1-111-1-11
χ811111111111111111-1-1-1-1-1-1-11-1111-1-1-11111-1-1-1-1-1111-1-1-1-1-1-11111-1-111-1
χ9111111111111-1-11111111-1-11-11-1-1-11-1-111-1-1-1-11-1-111-11111-1-1-1-111-1-11-11
χ10111111111111-1-11111111-1-11-11-1-1-11-1-111-1-1-1-11-1-111-1-1-1-1-11111-1-111-11-1
χ11111111111111-1-11111111-1-1-11-11-1-1-111-1-11-1-1-1-111-1-111111-1-1-1-1-1-11111-1
χ12111111111111-1-11111111-1-1-11-11-1-1-111-1-11-1-1-1-111-1-11-1-1-1-1111111-1-1-1-11
χ13111111111111-1-1111-1-1-1-1111111-1-11-1-1-1-11-1111-1-1-1-111111-1-1111111-1-1-1
χ14111111111111-1-1111-1-1-1-1111111-1-11-1-1-1-11-1111-1-1-1-11-1-1-1-111-1-1-1-1-1-1111
χ15111111111111-1-1111-1-1-1-111-1-1-1-1-1-1-11111-1-111-11111-11111-1-111-1-1-1-1-111
χ16111111111111-1-1111-1-1-1-111-1-1-1-1-1-1-11111-1-111-11111-1-1-1-1-111-1-111111-1-1
χ1722222222-222-200-2-2-20000222-22-200-2000020-2-2-200002000000000000000
χ1822222222-222-200-2-2-2000022-22-220020000-20-2-220000-2000000000000000
χ1922222222-222-200-2-2-20000-2-2222200-20000-2022-20000-2000000000000000
χ2022222222-222-200-2-2-20000-2-2-2-2-2-200200002022200002000000000000000
χ21222222-2-22-2-2222-2-2222-2-22-20000-2-200000022-2000000000000000000000
χ22222222-2-22-2-2222-2-22-2-222-220000-2-20000002-22000000000000000000000
χ23222222-2-22-2-22-2-2-2-2222-2-2-22000022000000-2-22000000000000000000000
χ24222222-2-22-2-22-2-2-2-22-2-2222-2000022000000-22-2000000000000000000000
χ25222222-2-2-2-2-2-20022-200002-200000002-22-200-2202-22-20000000000000000
χ26222222-2-2-2-2-2-20022-200002-20000000-22-2200-220-22-220000000000000000
χ27222222-2-2-2-2-2-20022-20000-2200000002-2-22002-202-2-220000000000000000
χ28222222-2-2-2-2-2-20022-20000-220000000-222-2002-20-222-20000000000000000
χ292222-2-22-222-22222-2-2000000020-22-2000-2-2-2-200000222000000000000000
χ302222-2-22-222-22222-2-20000000-2022-2000222-200000-2-2-2000000000000000
χ312222-2-22-222-22-2-22-2-2000000020-2-2200022-2200000-2-22000000000000000
χ322222-2-22-222-22-2-22-2-20000000-202-22000-2-2220000022-2000000000000000
χ332222-2-22-2-22-2-200-2222-22-200020-20002-20020000-2200-2000000000000000
χ342222-2-22-2-22-2-200-2222-22-2000-202000-2200-200002-2002000000000000000
χ352222-2-22-2-22-2-200-222-22-2200020-2000-2200200002-200-2000000000000000
χ362222-2-22-2-22-2-200-222-22-22000-2020002-200-20000-22002000000000000000
χ372222-2-2-222-22222-22-200000020-20-22-2-2-2000-200222000000000000000000
χ382222-2-2-222-22222-22-2000000-2020-22222000-200-2-2-2000000000000000000
χ392222-2-2-222-222-2-2-22-200000020-202-2-2220002002-2-2000000000000000000
χ402222-2-2-222-222-2-2-22-2000000-20202-22-2-2000200-222000000000000000000
χ412222-2-2-22-2-22-2002-222-2-220020-2000200-220000-2002-20000000000000000
χ422222-2-2-22-2-22-2002-222-2-2200-202000-2002-20000200-220000000000000000
χ432222-2-2-22-2-22-2002-22-222-20020-20002002-20000-200-220000000000000000
χ442222-2-2-22-2-22-2002-22-222-200-202000-200-2200002002-20000000000000000
χ4544-4-44-4440-4-40000000000000000000000000000000002222−22−2200000000000
χ4644-4-44-4440-4-4000000000000000000000000000000000−22−22222200000000000
χ4744-4-44-4-4-40440000000000000000000000000000000000000002i2−2i20000000
χ4844-4-44-4-4-4044000000000000000000000000000000000000000−2i22i20000000
χ4944-4-4-444-40-4400000000000000000000000000000000000000000002i2−2i2000
χ5044-4-4-444-40-440000000000000000000000000000000000000000000−2i22i2000
χ5144-4-4-44-4404-4000000000000000000000000000000000000000002i2−2i200000
χ5244-4-4-44-4404-400000000000000000000000000000000000000000−2i22i200000
χ534-4-440000400-44-40000000000000000000000000000002i−2i2i−2i2i−2i000000000
χ544-4-440000400-44-4000000000000000000000000000000−2i2i−2i2i−2i2i000000000
χ554-4-440000400-4-440000000000000000000000000000002i−2i2i−2i−2i2i000000000
χ564-4-440000400-4-44000000000000000000000000000000−2i2i−2i2i2i−2i000000000
χ578-88-800000000000000000000000000000000000000002i2−2i2−2i22i200000000000
χ588-88-80000000000000000000000000000000000000000−2i22i22i2−2i200000000000
χ598-8-880000-800800000000000000000000000000000000000000000000000

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