Finite Group Databasebeta

← Group #348614

Character table — Group #348614

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222244444444444444444488888888888888888888816161616323232323232
order12224444442224444488888888882224444444888888888888888448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-111-1-11-1-111-1-1-1-1-1-11111-1-1-1-111
χ41111111111111111111111111111-1-1-1-1-1-111-1-11-1-111-1-1-1-1-1-1-1-1-1-11111-1-1
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
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111111111-1-1-11-111-1
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1111111-1-1111-11-1-11
χ911111111111-1-1-1-11111111-1-1-1-1-1-111-111-1-1-1-1-1-1111111-1-1-1-111-1-11-1-11-11
χ1011111111111-1-1-1-11111111-1-1-1-1-1-111-111-1-1-1-1-1-1111111-1-1-1-1-1-111-111-11-1
χ1111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-111-1-1111111-1-1-111-1-11
χ1211111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-111-1-11111-1-1111-1-111-1
χ1311111111111-1-1-1-1111-1-1-1-111111111-111-1-1-1-1-11-1-1-1-1-1-11111111111-1-1-1-1
χ1411111111111-1-1-1-1111-1-1-1-111111111-111-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-11111
χ1511111111111-1-1-1-1111-1-1-1-1111111-1-11-1-11-1-111111-1-111-1-1-1-11111-1-111-1-1
χ1611111111111-1-1-1-1111-1-1-1-1111111-1-11-1-11-1-111111-1-111-1-1-1-1-1-1-1-111-1-111
χ172222222-22-2-222-2-2-2-220000000000222-2-2-22-22-2000000000000000000000
χ182222222-22-2-222-2-2-2-220000000000-2-2-22222-2-22000000000000000000000
χ192222222-22-2-2-2-222-2-22000000000022-2-2-22-22-22000000000000000000000
χ202222222-22-2-2-2-222-2-220000000000-2-2222-2-222-2000000000000000000000
χ2122222-2-2222-200002-2-200002222-2-200200200-2-2-2-2-2002200000000000000
χ2222222-2-2222-200002-2-200002222-2-200-200-20022-22200-2-200000000000000
χ2322222-2-2222-200002-2-20000-2-2-2-22200200200-2-222200-2-200000000000000
χ2422222-2-2222-200002-2-20000-2-2-2-22200-200-200222-2-2002200000000000000
χ2522222-2-2-22-220000-22-22i2i−2i−2i00000000200-200-220002i−2i002i2i−2i−2i0000000000
χ2622222-2-2-22-220000-22-22i2i−2i−2i00000000-2002002-20002i−2i00−2i−2i2i2i0000000000
χ2722222-2-2-22-220000-22-2−2i−2i2i2i00000000200-200-22000−2i2i00−2i−2i2i2i0000000000
χ2822222-2-2-22-220000-22-2−2i−2i2i2i00000000-2002002-2000−2i2i002i2i−2i−2i0000000000
χ292222-2222-22-22222-22-2222222-2-222000000-2-200-200-2-20000000000000000
χ302222-2222-22-22222-22-2-2-2-2-2-2-222-2-2000000-2-200200220000000000000000
χ312222-2222-22-2-2-2-2-2-22-22222-2-222-2-20000002200200-2-20000000000000000
χ322222-2222-22-2-2-2-2-2-22-2-2-2-2-222-2-2220000002200-200220000000000000000
χ332222-222-2-2-2222-2-22-2-20000000000000000-220002i−2i002i−2i2i−2i2i−2i0000000000
χ342222-222-2-2-2222-2-22-2-20000000000000000-22000−2i2i00−2i2i−2i2i−2i2i0000000000
χ352222-222-2-2-22-2-2222-2-200000000000000002-20002i−2i002i−2i−2i2i−2i2i0000000000
χ362222-222-2-2-22-2-2222-2-200000000000000002-2000−2i2i00−2i2i2i−2i2i−2i0000000000
χ372222-2-2-22-2220000-2-22000022-2-2-2-22-202-20000020000002-2-220000000000
χ382222-2-2-22-2220000-2-22000022-2-2-2-2-220-22000002000000-222-20000000000
χ392222-2-2-22-2220000-2-220000-2-222222-202-200000-2000000-222-20000000000
χ402222-2-2-22-2220000-2-220000-2-22222-220-2200000-20000002-2-220000000000
χ412222-2-2-2-2-2-2-200002222i2i−2i−2i0000002-20-22000000−2i2i−2i2i2i−2i00000000000000
χ422222-2-2-2-2-2-2-200002222i2i−2i−2i000000-2202-20000002i−2i−2i2i−2i2i00000000000000
χ432222-2-2-2-2-2-2-20000222−2i−2i2i2i0000002-20-220000002i−2i2i−2i−2i2i00000000000000
χ442222-2-2-2-2-2-2-20000222−2i−2i2i2i000000-2202-2000000−2i2i2i−2i2i−2i00000000000000
χ4544-4-4000-404000000000000004-4000000000000000000000002i−2i2i−2i000000
χ4644-4-4000-404000000000000004-400000000000000000000000−2i2i−2i2i000000
χ4744-4-4000-40400000000000000-44000000000000000000000002i−2i−2i2i000000
χ4844-4-4000-40400000000000000-4400000000000000000000000−2i2i2i−2i000000
χ494-44-404-40000004i−4i00022−2222−222i2−2i2002i2−2i20000000000000000000000000000000
χ504-44-404-40000004i−4i000−2222−2222−2i22i200−2i22i20000000000000000000000000000000
χ514-44-404-4000000−4i4i00022−2222−22−2i22i200−2i22i20000000000000000000000000000000
χ524-44-404-4000000−4i4i000−2222−22222i2−2i2002i2−2i20000000000000000000000000000000
χ534-44-40-4400004-4000002i2−2i2−2i22i22i2−2i200−2i22i20000000000000000000000000000000
χ544-44-40-4400004-400000−2i22i22i2−2i2−2i22i2002i2−2i20000000000000000000000000000000
χ554-44-40-440000-44000002i2−2i2−2i22i2−2i22i2002i2−2i20000000000000000000000000000000
χ564-44-40-440000-4400000−2i22i22i2−2i22i2−2i200−2i22i20000000000000000000000000000000
χ5788-8-800080-80000000000000000000000000000000000000000000000000
χ588-8-888000-800000000000000000000000000000000000000000000000000
χ598-8-88-8000800000000000000000000000000000000000000000000000000

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