Finite Group Databasebeta

← Group #347397

Character table — Group #347397

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444488888888888888888888888888888881616161616161616323232
order12222244444444444222222222244444444444444444888844888888488
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ51111111111111111111-1-1-1-1111-11-1-1-11-1-1111-1-1-11-1-1-1111111-1-111-1-1-11-1
χ61111111111111111111-1-1-1-1111-11-1-1-11-1-1111-1-1-11-1-1-1-1-1-1-1-1-111-1-1111-11
χ71111111111111111111-1-1-1-1-1-1-11-11111-1-1-1-1-11-1-1-1111111111-1-1-1-111-1-11
χ81111111111111111111-1-1-1-1-1-1-11-11111-1-1-1-1-11-1-1-1111-1-1-1-1-1-11111-1-111-1
χ9111111111111-1-1111-1-1111111-11-11-1-1-1-1-111-11-1-1-11-1-11111-1-1-1-1-1-11111-1
χ10111111111111-1-1111-1-1111111-11-11-1-1-1-1-111-11-1-1-11-1-1-1-1-1-1111111-1-1-1-11
χ11111111111111-1-1111-1-11111-1-11-11-111-1-1-1-1-11-1-1-11-1111111-1-1-1-111-1-11-11
χ12111111111111-1-1111-1-11111-1-11-11-111-1-1-1-1-11-1-1-11-111-1-1-1-11111-1-111-11-1
χ13111111111111-1-1111-1-1-1-1-1-111-1-1-1-111-11111-1-111-1-1111111-1-111-1-1-1-1-111
χ14111111111111-1-1111-1-1-1-1-1-111-1-1-1-111-11111-1-111-1-111-1-1-1-111-1-111111-1-1
χ15111111111111-1-1111-1-1-1-1-1-1-1-11111-1-1-111-1-1111111-1-11111-1-1111111-1-1-1
χ16111111111111-1-1111-1-1-1-1-1-1-1-11111-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1111
χ172222222-2-22-2-2222-2-2-2-222-2-20000000022-200002-20000000000000000000
χ182222222-2-22-2-2222-2-2-2-2-2-222000000002-220000-220000000000000000000
χ192222222-2-22-2-2-2-22-2-22222-2-200000000-2-220000-220000000000000000000
χ202222222-2-22-2-2-2-22-2-222-2-22200000000-22-200002-20000000000000000000
χ21222222-222-22200-2-2-20000000022-2-2000-2-2002222-2-200000000000000000
χ22222222-222-22200-2-2-2000000002-2-2200022002-2-2-2-2200000000000000000
χ23222222-222-22200-2-2-200000000-222-20002200-22-2-22-200000000000000000
χ24222222-222-22200-2-2-200000000-2-222000-2-200-2-2222200000000000000000
χ25222222-2-2-2-2-2-200-2220000002-200002-202-22-200-22002-2000000000000000
χ26222222-2-2-2-2-2-200-2220000002-20000-220-222-2002-200-22000000000000000
χ27222222-2-2-2-2-2-200-222000000-2200002-20-22-22002-2002-2000000000000000
χ28222222-2-2-2-2-2-200-222000000-220000-2202-2-2200-2200-22000000000000000
χ292222-2-222-222-222-22-22-20000000202-2-2-200000-2000-222000000000000000
χ302222-2-222-222-222-22-22-20000000-20-222-20000020002-2-2000000000000000
χ312222-2-222-222-2-2-2-22-2-22000000020222200000-2000-2-2-2000000000000000
χ322222-2-222-222-2-2-2-22-2-220000000-20-2-2-22000002000222000000000000000
χ332222-2-22-222-2222-2-22-22000022-20-2000-200-2-220002000000000000000000
χ342222-2-22-222-2222-2-22-220000-2-2202000-20022-2000-2000000000000000000
χ352222-2-22-222-22-2-2-2-222-2000022202000200-2-2-2000-2000000000000000000
χ362222-2-22-222-22-2-2-2-222-20000-2-2-20-20002002220002000000000000000000
χ372222-2-2-22-2-22-2002-22002-22-22-2020-200000-220-2000200000000000000000
χ382222-2-2-22-2-22-2002-22002-22-2-220-202000002-202000-200000000000000000
χ392222-2-2-22-2-22-2002-2200-22-222-20-20200000-2202000-200000000000000000
χ402222-2-2-22-2-22-2002-2200-22-22-22020-2000002-20-2000200000000000000000
χ412222-2-2-2-22-2-220022-2002-2-220020-20-2200000-2000202-2000000000000000
χ422222-2-2-2-22-2-220022-2002-2-2200-20202-2000002000-20-22000000000000000
χ432222-2-2-2-22-2-220022-200-222-20020-202-200000-200020-22000000000000000
χ442222-2-2-2-22-2-220022-200-222-200-2020-22000002000-202-2000000000000000
χ4544-4-400-4004004i−4i0000000000000000000000000000002i2i−2i−2i2-2000000000
χ4644-4-400-4004004i−4i000000000000000000000000000000−2i−2i2i2i-22000000000
χ4744-4-400-400400−4i4i0000000000000000000000000000002i2i−2i−2i-22000000000
χ4844-4-400-400400−4i4i000000000000000000000000000000−2i−2i2i2i2-2000000000
χ494-44-44-404-40-44000000000000000000000000000000002i2−2i22i2−2i200000000000
χ504-44-44-404-40-4400000000000000000000000000000000−2i22i2−2i22i200000000000
χ514-44-44-40-4404-4000000000000000000000000000000000000002i2−2i20000000
χ524-44-44-40-4404-400000000000000000000000000000000000000−2i22i20000000
χ534-44-4-440440-4-40000000000000000000000000000000000000000002i2−2i2000
χ544-44-4-440440-4-4000000000000000000000000000000000000000000−2i22i2000
χ554-44-4-440-4-4044000000000000000000000000000000000000000022−2200000
χ564-44-4-440-4-40440000000000000000000000000000000000000000−222200000
χ5788-8-800800-80000000000000000000000000000000000000000000000000
χ588-8-88000000000000000000000000000000000000000022−22−222200000000000
χ598-8-880000000000000000000000000000000000000000−222222−2200000000000

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