Finite Group Databasebeta

← Group #347396

Character table — Group #347396

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444488888888888888888888888888888881616161616161616323232
order12222244444444444222222224444444444444444444888844888888488
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-1-1
χ411111111111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ511111111111111111-1-1-1-1-1-11-11-11-1-1111-1-1-111111-1-1-1111111-1-111-1-1-11-1
χ611111111111111111-1-1-1-1-1-11-11-11-1-1111-1-1-111111-1-1-1-1-1-1-1-1-111-1-1111-11
χ711111111111111111-1-1-1-1-1-1-11-111-1-1-1-1-111111-1-1-1111111111-1-1-1-111-1-11
χ811111111111111111-1-1-1-1-1-1-11-111-1-1-1-1-111111-1-1-1111-1-1-1-1-1-11111-1-111-1
χ9111111111111-1-11111111-1-11-11-1-1-1-11-1-111-1-1-11-1-111-11111-1-1-1-111-1-11-11
χ10111111111111-1-11111111-1-11-11-1-1-1-11-1-111-1-1-11-1-111-1-1-1-1-11111-1-111-11-1
χ11111111111111-1-11111111-1-1-11-11-1-1-1-111-1-11-1-1-111-1-111111-1-1-1-1-1-11111-1
χ12111111111111-1-11111111-1-1-11-11-1-1-1-111-1-11-1-1-111-1-11-1-1-1-1111111-1-1-1-11
χ13111111111111-1-1111-1-1-1-1111111-1111-1-1-1-11-1-11-1-1-1-111111-1-1111111-1-1-1
χ14111111111111-1-1111-1-1-1-1111111-1111-1-1-1-11-1-11-1-1-1-11-1-1-1-111-1-1-1-1-1-1111
χ15111111111111-1-1111-1-1-1-111-1-1-1-1-111-11111-1-1-1-11111-11111-1-111-1-1-1-1-111
χ16111111111111-1-1111-1-1-1-111-1-1-1-1-111-11111-1-1-1-11111-1-1-1-1-111-1-111111-1-1
χ1722222222-222-200-2-2-20000222-22-20-2-2-20000200-200002000000000000000
χ1822222222-222-200-2-2-2000022-22-220-2-220000-20020000-2000000000000000
χ1922222222-222-200-2-2-20000-2-22222022-20000-200-20000-2000000000000000
χ2022222222-222-200-2-2-20000-2-2-2-2-2-202220000200200002000000000000000
χ21222222-2-22-2-22222-2-222-2-22-2000022-2000000-2-2000000000000000000000
χ22222222-2-22-2-22222-2-2-2-222-2200002-22000000-2-2000000000000000000000
χ23222222-2-22-2-22-2-22-2-222-2-2-220000-2-2200000022000000000000000000000
χ24222222-2-22-2-22-2-22-2-2-2-2222-20000-22-200000022000000000000000000000
χ25222222-2-2-2-2-2-200-22200002-200000-2202-22-200002-22-20000000000000000
χ26222222-2-2-2-2-2-200-22200002-200000-220-22-220000-22-220000000000000000
χ27222222-2-2-2-2-2-200-2220000-22000002-202-2-2200002-2-220000000000000000
χ28222222-2-2-2-2-2-200-2220000-22000002-20-222-20000-222-20000000000000000
χ292222-2-22-222-2222-22-2000000020-2-2000002222-2000-2-2-2000000000000000
χ302222-2-22-222-2222-22-20000000-202-200000-2-2-22-2000222000000000000000
χ312222-2-22-222-22-2-2-22-2000000020-2200000-2-22-2200022-2000000000000000
χ322222-2-22-222-22-2-2-22-20000000-20220000022-2-22000-2-22000000000000000
χ332222-2-22-2-22-2-2002-222-22-200020-200002-200-2000-22002000000000000000
χ342222-2-22-2-22-2-2002-222-22-2000-2020000-220020002-200-2000000000000000
χ352222-2-22-2-22-2-2002-22-22-2200020-20000-2200-20002-2002000000000000000
χ362222-2-22-2-22-2-2002-22-22-22000-20200002-2002000-2200-2000000000000000
χ372222-2-2-222-22222-2-2200000020-20-200222000-22-2-2-2000000000000000000
χ382222-2-2-222-22222-2-22000000-2020-200-2-2-2000-22222000000000000000000
χ392222-2-2-222-222-2-2-2-2200000020-202002-2-20002-2-222000000000000000000
χ402222-2-2-222-222-2-2-2-22000000-2020200-2220002-22-2-2000000000000000000
χ412222-2-2-22-2-22-20022-22-2-220020-20000-200-220002002-20000000000000000
χ422222-2-2-22-2-22-20022-22-2-2200-20200002002-2000-200-220000000000000000
χ432222-2-2-22-2-22-20022-2-222-20020-20000-2002-2000200-220000000000000000
χ442222-2-2-22-2-22-20022-2-222-200-2020000200-22000-2002-20000000000000000
χ4544-4-44-44-40-440000000000000000000000000000000000000000022−2200000
χ4644-4-44-44-40-4400000000000000000000000000000000000000000−222200000
χ4744-4-44-4-4404-4000000000000000000000000000000000000000000022−22000
χ4844-4-44-4-4404-40000000000000000000000000000000000000000000−2222000
χ4944-4-4-44440-4-400000000000000000000000000000000000000022−220000000
χ5044-4-4-44440-4-4000000000000000000000000000000000000000−22220000000
χ5144-4-4-44-4-40440000000000000000000000000000000002i22i2−2i2−2i200000000000
χ5244-4-4-44-4-4044000000000000000000000000000000000−2i2−2i22i22i200000000000
χ534-44-40000400-44-40000000000000000000000000000002i−2i2i−2i2i−2i000000000
χ544-44-40000400-44-4000000000000000000000000000000−2i2i−2i2i−2i2i000000000
χ554-44-40000400-4-440000000000000000000000000000002i−2i2i−2i−2i2i000000000
χ564-44-40000400-4-44000000000000000000000000000000−2i2i−2i2i2i−2i000000000
χ578-88-80000-800800000000000000000000000000000000000000000000000
χ588-8-88000000000000000000000000000000000000000022−22−222200000000000
χ598-8-880000000000000000000000000000000000000000−222222−2200000000000

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