Finite Group Databasebeta

← Group #348602

Character table — Group #348602

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222244444444444444444488888888888888888888816161616323232323232
order12224444442224444488888888882224444444888888888888888248888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-111-1-1-1-1-11-1-111-1-1-1-1-1-11111-1-1-1-111
χ41111111111111111111111111111-1-1-111-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-11111-1-1
χ5111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ6111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-11-111-1
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1111-11-1-11
χ911111111111-1-111-1-111111-1-1-1-1-1-111-1-1-1-1-111-1-1111111-1-1-1-111-1-11-1-11-11
χ1011111111111-1-111-1-111111-1-1-1-1-1-111-1-1-1-1-111-1-1111111-1-1-1-1-1-111-111-11-1
χ1111111111111-1-111-1-111111-1-1-1-1-1-1-1-11-1-111-1-11-1-1-111-1-1111111-1-1-111-1-11
χ1211111111111-1-111-1-111111-1-1-1-1-1-1-1-11-1-111-1-11-1-1-111-1-11111-1-1111-1-111-1
χ1311111111111-1-111-1-11-1-1-1-111111111-1-1-1-1-111-11-1-1-1-1-1-11111111111-1-1-1-1
χ1411111111111-1-111-1-11-1-1-1-111111111-1-1-1-1-111-11-1-1-1-1-1-11111-1-1-1-1-1-11111
χ1511111111111-1-111-1-11-1-1-1-1111111-1-11-1-111-1-11111-1-111-1-1-1-11111-1-111-1-1
χ1611111111111-1-111-1-11-1-1-1-1111111-1-11-1-111-1-11111-1-111-1-1-1-1-1-1-1-111-1-111
χ172222222-22-2-222-2-2-2-2200000000002222-22-2-2-2-2000000000000000000000
χ182222222-22-2-222-2-2-2-220000000000-2-2-22-2-22222000000000000000000000
χ192222222-22-2-2-2-2-2-2222000000000022-2-22-22-2-22000000000000000000000
χ202222222-22-2-2-2-2-2-22220000000000-2-22-222-222-2000000000000000000000
χ2122222-2-2222-2002-200-200002222-2-200200-2-2002-2-2-2002200000000000000
χ2222222-2-2222-2002-200-200002222-2-200-2002200-2-22200-2-200000000000000
χ2322222-2-2222-2002-200-20000-2-2-2-22200200-2-200222200-2-200000000000000
χ2422222-2-2222-2002-200-20000-2-2-2-22200-2002200-22-2-2002200000000000000
χ2522222-2-2-22-2200-2200-22i2i−2i−2i00000000200-2200-20002i−2i002i2i−2i−2i0000000000
χ2622222-2-2-22-2200-2200-22i2i−2i−2i00000000-2002-20020002i−2i00−2i−2i2i2i0000000000
χ2722222-2-2-22-2200-2200-2−2i−2i2i2i00000000200-2200-2000−2i2i00−2i−2i2i2i0000000000
χ2822222-2-2-22-2200-2200-2−2i−2i2i2i00000000-2002-2002000−2i2i002i2i−2i−2i0000000000
χ292222-2222-22-222-2222-2222222-2-222000-2-200000-200-2-20000000000000000
χ302222-2222-22-222-2222-2-2-2-2-2-2-222-2-2000-2-200000200220000000000000000
χ312222-2222-22-2-2-2-22-2-2-22222-2-222-2-20002200000200-2-20000000000000000
χ322222-2222-22-2-2-2-22-2-2-2-2-2-2-222-2-2220002200000-200220000000000000000
χ332222-222-2-2-22222-2-2-2-20000000000000-220000002i−2i002i−2i2i−2i2i−2i0000000000
χ342222-222-2-2-22222-2-2-2-20000000000000-22000000−2i2i00−2i2i−2i2i−2i2i0000000000
χ352222-222-2-2-22-2-22-222-200000000000002-20000002i−2i002i−2i−2i2i−2i2i0000000000
χ362222-222-2-2-22-2-22-222-200000000000002-2000000−2i2i00−2i2i2i−2i2i−2i0000000000
χ372222-2-2-22-22200-2-2002000022-2-2-2-22-2000002-2020000002-2-220000000000
χ382222-2-2-22-22200-2-2002000022-2-2-2-2-2200000-2202000000-222-20000000000
χ392222-2-2-22-22200-2-20020000-2-222222-2000002-20-2000000-222-20000000000
χ402222-2-2-22-22200-2-20020000-2-22222-2200000-220-20000002-2-220000000000
χ412222-2-2-2-2-2-2-200220022i2i−2i−2i0000002-200000-2200−2i2i−2i2i2i−2i00000000000000
χ422222-2-2-2-2-2-2-200220022i2i−2i−2i000000-22000002-2002i−2i−2i2i−2i2i00000000000000
χ432222-2-2-2-2-2-2-20022002−2i−2i2i2i0000002-200000-22002i−2i2i−2i−2i2i00000000000000
χ442222-2-2-2-2-2-2-20022002−2i−2i2i2i000000-22000002-200−2i2i2i−2i2i−2i00000000000000
χ4544-4-404-4000000004i−4i022−2222−222i2−2i2002i2−2i20000000000000000000000000000000
χ4644-4-404-4000000004i−4i0−2222−2222−2i22i200−2i22i20000000000000000000000000000000
χ4744-4-404-400000000−4i4i022−2222−22−2i22i200−2i22i20000000000000000000000000000000
χ4844-4-404-400000000−4i4i0−2222−22222i2−2i2002i2−2i20000000000000000000000000000000
χ4944-4-40-4400004-4000002i2−2i2−2i22i22i2−2i200−2i22i20000000000000000000000000000000
χ5044-4-40-4400004-400000−2i22i22i2−2i2−2i22i2002i2−2i20000000000000000000000000000000
χ5144-4-40-440000-44000002i2−2i2−2i22i2−2i22i2002i2−2i20000000000000000000000000000000
χ5244-4-40-440000-4400000−2i22i22i2−2i22i2−2i200−2i22i20000000000000000000000000000000
χ534-4-44000-404000000000000004-4000000000000000000000002-22-2000000
χ544-4-44000-404000000000000004-400000000000000000000000-22-22000000
χ554-4-44000-40400000000000000-44000000000000000000000002-2-22000000
χ564-4-44000-40400000000000000-4400000000000000000000000-222-2000000
χ578-88-88000-800000000000000000000000000000000000000000000000000
χ588-88-8-8000800000000000000000000000000000000000000000000000000
χ598-8-8800080-80000000000000000000000000000000000000000000000000

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