Finite Group Databasebeta

← Group #348116

Character table — Group #348116

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222222222244444444488888888888888888888888816161616323232323232
order12222222224488884448888882224444444448888888888882244444444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11-1-11-1-11-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111-1-11-1-11-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-11-1-11-1-11-1-11-1-1-111-1-1-1-111-1-11111-1-111-1-1
χ61111111111111111111111111-11-1-11-1-11-1-11-1-1-111-1-1-1-111-1-1-1-1-1-111-1-111
χ71111111111111111111111111-1-11-1-11-1-11-1-11-1-1-1-111-1-1-1-1111111-1-1-1-111
χ81111111111111111111111111-1-11-1-11-1-11-1-11-1-1-1-111-1-1-1-111-1-1-1-11111-1-1
χ9111111111111-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ10111111111111-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ11111111111111-1-1-1-1111-1-1-1-1-1-11-1-11-1-11-1-11-1-1-1-11111-1-1111111-1-11-1-11-11
χ12111111111111-1-1-1-1111-1-1-1-1-1-11-1-11-1-11-1-11-1-1-1-11111-1-11111-1-111-111-11-1
χ13111111111111-1-1-1-1111-1-1-1-1-1-1-11-1-11-1-11-1-11-111-1-11111-1-11111-1-1-111-1-11
χ14111111111111-1-1-1-1111-1-1-1-1-1-1-11-1-11-1-11-1-11-111-1-11111-1-111-1-1111-1-111-1
χ15111111111111-1-1-1-1111-1-1-1-1-1-1-1-11-1-11-1-11-1-111111-1-11111-1-111-1-1-11-111-1
χ16111111111111-1-1-1-1111-1-1-1-1-1-1-1-11-1-11-1-11-1-111111-1-11111-1-1-1-1111-11-1-11
χ172222222222-2-20000-2-2-200000022-2-2-22-2-2222-20000000000000000000000
χ182222222222-2-20000-2-2-20000002-22-22-2-22-22-220000000000000000000000
χ192222222222-2-20000-2-2-2000000-2222-2-22-2-2-2220000000000000000000000
χ202222222222-2-20000-2-2-2000000-2-2-2222222-2-2-20000000000000000000000
χ2122222-2-22-2-22222222-2-222-2-2-2-200200-200200-20000-2-20000220000000000
χ2222222-2-22-2-22222222-2-222-2-2-2-200-200200-20020000220000-2-20000000000
χ2322222-2-22-2-222-2-2-2-22-2-2-2-2222200200-200200-20000220000-2-20000000000
χ2422222-2-22-2-222-2-2-2-22-2-2-2-2222200-200200-20020000-2-20000220000000000
χ2522222-2-22-2-2-2-20000-22200000000200200-200-22i−2i2i−2i002i−2i2i−2i000000000000
χ2622222-2-22-2-2-2-20000-22200000000200200-200-2−2i2i−2i2i00−2i2i−2i2i000000000000
χ2722222-2-22-2-2-2-20000-22200000000-200-20020022i−2i−2i2i002i−2i−2i2i000000000000
χ2822222-2-22-2-2-2-20000-22200000000-200-2002002−2i2i2i−2i00−2i2i2i−2i000000000000
χ292222-22-2-22-2222222-22-2-2-222-2-20200-200200-2000-2-2000022000000000000
χ302222-22-2-22-2222222-22-2-2-222-2-20-200200-2002000220000-2-2000000000000
χ312222-22-2-22-222-2-2-2-2-22-222-2-2220200-200200-2000220000-2-2000000000000
χ322222-22-2-22-222-2-2-2-2-22-222-2-2220-200200-2002000-2-2000022000000000000
χ332222-22-2-22-2-2-200002-220000000200200-200-202i−2i002i−2i−2i2i002i−2i0000000000
χ342222-22-2-22-2-2-200002-220000000200200-200-20−2i2i00−2i2i2i−2i00−2i2i0000000000
χ352222-22-2-22-2-2-200002-220000000-200-200200202i−2i00−2i2i−2i2i00−2i2i0000000000
χ362222-22-2-22-2-2-200002-220000000-200-20020020−2i2i002i−2i2i−2i002i−2i0000000000
χ372222-2-22-2-22222222-2-22-2-2-2-222200-200200-200-2-200002200000000000000
χ382222-2-22-2-22222222-2-22-2-2-2-222-200200-200200220000-2-200000000000000
χ392222-2-22-2-2222-2-2-2-2-2-222222-2-2200-200200-200220000-2-200000000000000
χ402222-2-22-2-2222-2-2-2-2-2-222222-2-2-200200-200200-2-200002200000000000000
χ412222-2-22-2-22-2-2000022-2000000200200-200-200002i−2i2i−2i00−2i2i−2i2i0000000000
χ422222-2-22-2-22-2-2000022-2000000200200-200-20000−2i2i−2i2i002i−2i2i−2i0000000000
χ432222-2-22-2-22-2-2000022-2000000-200-200200200002i−2i−2i2i00−2i2i2i−2i0000000000
χ442222-2-22-2-22-2-2000022-2000000-200-20020020000−2i2i2i−2i002i−2i−2i2i0000000000
χ454-44-40000004-44i4i−4i−4i0000000000000000000000000000000002-22i−2i000000
χ464-44-40000004-44i4i−4i−4i000000000000000000000000000000000-22−2i2i000000
χ474-44-40000004-4−4i−4i4i4i0000000000000000000000000000000002-2−2i2i000000
χ484-44-40000004-4−4i−4i4i4i000000000000000000000000000000000-222i−2i000000
χ494-4-44444-4-4-40022−2222−2200022−2222−2222−220000000000000000000000000000000000
χ504-4-44444-4-4-400−2222−2222000−2222−2222−22220000000000000000000000000000000000
χ514-4-444-4-4-4440022−2222−2200022−22−2222−22220000000000000000000000000000000000
χ524-4-444-4-4-44400−2222−2222000−222222−2222−220000000000000000000000000000000000
χ534-4-44-44-44-440022−2222−22000−222222−22−22220000000000000000000000000000000000
χ544-4-44-44-44-4400−2222−222200022−22−222222−220000000000000000000000000000000000
χ554-4-44-4-4444-40022−2222−22000−2222−222222−220000000000000000000000000000000000
χ564-4-44-4-4444-400−2222−222200022−2222−22−22220000000000000000000000000000000000
χ5788-8-8000000004i2−4i2−4i24i20000000000000000000000000000000000000000000
χ5888-8-800000000−4i24i24i2−4i20000000000000000000000000000000000000000000
χ598-88-8000000-8800000000000000000000000000000000000000000000000

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