Finite Group Databasebeta

← Group #347342

Character table — Group #347342

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444488888888888888888888888888888881616161616161616323232
order12222244444444444222244444444444444444444444888844888888288
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11-1
χ411111111111111111111-111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11
χ511111111111111111-1-1-111-1-1-1-11111-1-111-1111-1-1-1-1-1-1111111-1-1-1-111-1-11
χ611111111111111111-1-1-111-1-1-1-11111-1-111-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1
χ711111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11-1-1
χ811111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111
χ9111111111111-1-111111-11-111-1-111-1-1-1-1-1-1-11-1-11111-1-11111-1-1-1-1-1-11111-1
χ10111111111111-1-111111-11-111-1-111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1111111-1-1-1-11
χ11111111111111-1-111111-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-111
χ12111111111111-1-111111-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-111111-1-1
χ13111111111111-1-1111-1-111-1-1-11111-1-111-1-111-1-1-1-1-1-1111111-1-1111111-1-1-1
χ14111111111111-1-1111-1-111-1-1-11111-1-111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111
χ15111111111111-1-1111-1-11-1-1-1-111-1-111-1-1-1-11-1111111-1-11111-1-1-1-111-1-11-11
χ16111111111111-1-1111-1-11-1-1-1-111-1-111-1-1-1-11-1111111-1-1-1-1-1-11111-1-111-11-1
χ1722222222-222-200-2-2-200220002-22-200-2-200-2-200000022000000000000000
χ1822222222-222-200-2-2-2002-20002-2-22002200-22000000-2-2000000000000000
χ1922222222-222-200-2-2-200-22000-222-20022002-2000000-2-2000000000000000
χ2022222222-222-200-2-2-200-2-2000-22-2200-2-2002200000022000000000000000
χ21222222-2-22-2-22222-2-200002000000002-2-2-2000022-2-22-2000000000000000
χ22222222-2-22-2-22222-2-20000200000000-22-2-20000-2-222-22000000000000000
χ23222222-2-22-2-22-2-22-2-20000-2000000002-2220000-2-2222-2000000000000000
χ24222222-2-22-2-22-2-22-2-20000-200000000-2222000022-2-2-22000000000000000
χ25222222-2-2-2-2-2-200-2222-20002-200002-22-200002-20000-22000000000000000
χ26222222-2-2-2-2-2-200-2222-20002-20000-22-220000-2200002-2000000000000000
χ27222222-2-2-2-2-2-200-222-22000-2200002-2-2200002-200002-2000000000000000
χ28222222-2-2-2-2-2-200-222-22000-220000-222-20000-220000-22000000000000000
χ292222-2-22-222-2222-22-20002-20000-2222002-20-2-2-2000000000000000000000
χ302222-2-22-222-2222-22-2000-2-200002-2-2-2002-20222000000000000000000000
χ312222-2-22-222-22-2-2-22-2000220000-22-2-200-220-222000000000000000000000
χ322222-2-22-222-22-2-2-22-2000-2200002-22200-2202-2-2000000000000000000000
χ332222-2-22-2-22-2-2002-222-2020-2200-2-200000002002-22-200000000000000000
χ342222-2-22-2-22-2-2002-222-20-20-2200220000000-200-22-2200000000000000000
χ352222-2-22-2-22-2-2002-22-220202-200-2-20000000200-22-2200000000000000000
χ362222-2-22-2-22-2-2002-22-220-202-200220000000-2002-22-200000000000000000
χ372222-2-2-222-22222-2-222220-2-2-2-22000000-22-2000000000000000000000000
χ382222-2-2-222-22222-2-22-2-2-20-2222-2000000-222000000000000000000000000
χ392222-2-2-222-222-2-2-2-2222-202-2-22-20000002-22000000000000000000000000
χ402222-2-2-222-222-2-2-2-22-2-220222-220000002-2-2000000000000000000000000
χ412222-2-2-22-2-22-20022-20020000-2-2002-2000020-22-222-200000000000000000
χ422222-2-2-22-2-22-20022-20020000-2-200-220000202-22-2-2200000000000000000
χ432222-2-2-22-2-22-20022-200-2000022002-20000-20-222-2-2200000000000000000
χ442222-2-2-22-2-22-20022-200-200002200-220000-202-2-222-200000000000000000
χ4544-4-40000-40044-40000000000000000000000000000002i2i−2i−2i2i−2i000000000
χ4644-4-40000-40044-4000000000000000000000000000000−2i−2i2i2i−2i2i000000000
χ4744-4-40000-4004-440000000000000000000000000000002i2i−2i−2i−2i2i000000000
χ4844-4-40000-4004-44000000000000000000000000000000−2i−2i2i2i2i−2i000000000
χ494-44-44-4440-4-4000000000000000000000000000000000000000000022−22000
χ504-44-44-4440-4-40000000000000000000000000000000000000000000−2222000
χ514-44-44-4-4-4044000000000000000000000000000000000000000002i2−2i200000
χ524-44-44-4-4-404400000000000000000000000000000000000000000−2i22i200000
χ534-44-4-444-40-440000000000000000000000000000000002i2−2i22i2−2i200000000000
χ544-44-4-444-40-44000000000000000000000000000000000−2i22i2−2i22i200000000000
χ554-44-4-44-4404-40000000000000000000000000000000000000002i2−2i20000000
χ564-44-4-44-4404-4000000000000000000000000000000000000000−2i22i20000000
χ5788-8-80000800-800000000000000000000000000000000000000000000000
χ588-8-88000000000000000000000000000000000000000022−22−222200000000000
χ598-8-880000000000000000000000000000000000000000−222222−2200000000000

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