Finite Group Databasebeta

← Group #348603

Character table — Group #348603

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222244444444444444444488888888888888888888816161616323232323232
order12224444442224444488888888882444444444888888888888888248888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-111-1-1-1-1-1-1-111-1-11-1-1-1-1-1-11111-1-1-1-111
χ41111111111111111111111111111-111-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1
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
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-111111111-1-1-11-111-1
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1111111-1-1111-11-1-11
χ911111111111-1-111-1-11111111-1-1-1-11-1-111-1-1-1-11-1-111111-1-1-1-11111-1-111-1-1
χ1011111111111-1-111-1-11111111-1-1-1-11-1-111-1-1-1-11-1-111111-1-1-1-1-1-1-1-111-1-111
χ1111111111111-1-111-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11111111111-1-1-1-1
χ1211111111111-1-111-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-11111
χ1311111111111-1-111-1-11-1-1-1-1-1-111111-1-111-1-1-1-1111-1-1-1-1-1111111-1-1-111-1-11
χ1411111111111-1-111-1-11-1-1-1-1-1-111111-1-111-1-1-1-1111-1-1-1-1-11111-1-1111-1-111-1
χ1511111111111-1-111-1-11-1-1-1-1-1-11111-1-1-1-1-11111-11111-111-1-1-1-111-1-11-1-11-11
χ1611111111111-1-111-1-11-1-1-1-1-1-11111-1-1-1-1-11111-11111-111-1-1-1-1-1-111-111-11-1
χ172222222-22-2-222-2-2-2-22000000000022-22-222-2-2-2000000000000000000000
χ182222222-22-2-222-2-2-2-220000000000-22-2-22-2-2222000000000000000000000
χ192222222-22-2-2-2-2-2-222200000000002-222-2-2-222-2000000000000000000000
χ202222222-22-2-2-2-2-2-22220000000000-2-22-2222-2-22000000000000000000000
χ2122222-2-2222-2002-200-222-2-2220000200-2-2000020022-2-2-200000000000000
χ2222222-2-2222-2002-200-222-2-2220000-200220000-200-2-2-22200000000000000
χ2322222-2-2222-2002-200-2-2-222-2-20000200-2-20000200-2-222200000000000000
χ2422222-2-2222-2002-200-2-2-222-2-20000-200220000-200222-2-200000000000000
χ2522222-2-2-22-2200-2200-20000002i2i−2i−2i200-220000-22i−2i000002i2i−2i−2i0000000000
χ2622222-2-2-22-2200-2200-20000002i2i−2i−2i-2002-2000022i−2i00000−2i−2i2i2i0000000000
χ2722222-2-2-22-2200-2200-2000000−2i−2i2i2i200-220000-2−2i2i00000−2i−2i2i2i0000000000
χ2822222-2-2-22-2200-2200-2000000−2i−2i2i2i-2002-200002−2i2i000002i2i−2i−2i0000000000
χ292222-2222-22-222-2222-222-2-2-2-2-2-2-2-20-2-20000000220020000000000000000
χ302222-2222-22-222-2222-2-2-2222222220-2-20000000-2-200-20000000000000000
χ312222-2222-22-2-2-2-22-2-2-222-2-2-2-222220220000000-2-20020000000000000000
χ322222-2222-22-2-2-2-22-2-2-2-2-22222-2-2-2-202200000002200-20000000000000000
χ332222-222-2-2-22222-2-2-2-200000000000-220000000002i−2i02i−2i2i−2i2i−2i0000000000
χ342222-222-2-2-22222-2-2-2-200000000000-22000000000−2i2i0−2i2i−2i2i−2i2i0000000000
χ352222-222-2-2-22-2-22-222-2000000000002-20000000002i−2i02i−2i−2i2i−2i2i0000000000
χ362222-222-2-2-22-2-22-222-2000000000002-2000000000−2i2i0−2i2i2i−2i2i−2i0000000000
χ372222-2-2-22-22200-2-20022222-2-20000000002-22-200000-2002-2-220000000000
χ382222-2-2-22-22200-2-20022222-2-2000000000-22-2200000-200-222-20000000000
χ392222-2-2-22-22200-2-2002-2-2-2-2220000000002-22-200000200-222-20000000000
χ402222-2-2-22-22200-2-2002-2-2-2-222000000000-22-22000002002-2-220000000000
χ412222-2-2-2-2-2-2-200220020000002i2i−2i−2i000002-2-220−2i2i−2i2i02i−2i00000000000000
χ422222-2-2-2-2-2-2-200220020000002i2i−2i−2i00000-222-20−2i2i2i−2i0−2i2i00000000000000
χ432222-2-2-2-2-2-2-20022002000000−2i−2i2i2i000002-2-2202i−2i2i−2i0−2i2i00000000000000
χ442222-2-2-2-2-2-2-20022002000000−2i−2i2i2i00000-222-202i−2i−2i2i02i−2i00000000000000
χ4544-4-404-4000000004i−4i0002i2−2i22i2−2i222−2222−220000000000000000000000000000000
χ4644-4-404-4000000004i−4i000−2i22i2−2i22i2−2222−22220000000000000000000000000000000
χ4744-4-404-400000000−4i4i0002i2−2i22i2−2i2−2222−22220000000000000000000000000000000
χ4844-4-404-400000000−4i4i000−2i22i2−2i22i222−2222−220000000000000000000000000000000
χ4944-4-40-4400004-400000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000
χ5044-4-40-4400004-40000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000
χ5144-4-40-440000-4400000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000
χ5244-4-40-440000-440000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000
χ534-4-4400040-4000000004-4000000000000000000000000000002i−2i2i−2i000000
χ544-4-4400040-4000000004-400000000000000000000000000000−2i2i−2i2i000000
χ554-4-4400040-400000000-44000000000000000000000000000002i−2i−2i2i000000
χ564-4-4400040-400000000-4400000000000000000000000000000−2i2i2i−2i000000
χ578-88-88000-800000000000000000000000000000000000000000000000000
χ588-88-8-8000800000000000000000000000000000000000000000000000000
χ598-8-88000-8080000000000000000000000000000000000000000000000000

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