Finite Group Databasebeta

← Group #348639

Character table — Group #348639

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222244444444444444444488888888888888888888816161616323232323232
order12224444442224444488888888882444444444888888888888888448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-11-1-1-1-11-1-1-111-1-11-1-1-1-1-1-11111-1-111-1-1
χ41111111111111111111111111111-11-1-1-1-11-1-1-111-1-11-1-1-1-1-1-1-1-1-1-111-1-111
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
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-111-111111111-1-1-111-1-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-111-1111111-1-1111-1-111-1
χ911111111111-1-11-1-111111111-1-1-1-11-11-1-11-11-1-1-1-111111-1-1-1-11111-1-1-1-111
χ1011111111111-1-11-1-111111111-1-1-1-11-11-1-11-11-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1
χ1111111111111-1-11-1-111111111-1-1-1-1-1-1-111-1-1-111-1-1-1-11-1-11111111111-1-1-1-1
χ1211111111111-1-11-1-111111111-1-1-1-1-1-1-111-1-1-111-1-1-1-11-1-11111-1-1-1-1-1-11111
χ1311111111111-1-11-1-111-1-1-1-1-1-111111-11-1-11-11-1-111-1-1-1-1-1111111-1-1-11-111-1
χ1411111111111-1-11-1-111-1-1-1-1-1-111111-11-1-11-11-1-111-1-1-1-1-11111-1-1111-11-1-11
χ1511111111111-1-11-1-111-1-1-1-1-1-11111-1-1-111-1-1-1111111-111-1-1-1-111-1-11-1-11-11
χ1611111111111-1-11-1-111-1-1-1-1-1-11111-1-1-111-1-1-1111111-111-1-1-1-1-1-111-111-11-1
χ17222222-222-2-222-2-2-2-2200000000002-2222-22-2-2-2000000000000000000000
χ18222222-222-2-222-2-2-2-220000000000-2-2-2-2-222222000000000000000000000
χ19222222-222-2-2-2-2-222-220000000000222-2-2-2-2-222000000000000000000000
χ20222222-222-2-2-2-2-222-220000000000-22-2222-22-2-2000000000000000000000
χ2122222-222-22-222-2222-222-2-22222220-20000-2000-2-200-20000000000000000
χ2222222-222-22-222-2222-2-2-222-2-2-2-2-2-20-20000-2000220020000000000000000
χ2322222-222-22-2-2-2-2-2-22-222-2-222-2-2-2-202000020002200-20000000000000000
χ2422222-222-22-2-2-2-2-2-22-2-2-222-2-222220200002000-2-20020000000000000000
χ2522222-2-22-2-22222-2-2-2-20000000000020000-2000002i−2i02i−2i2i2i−2i−2i0000000000
χ2622222-2-22-2-22222-2-2-2-20000000000020000-200000−2i2i0−2i2i−2i−2i2i2i0000000000
χ2722222-2-22-2-22-2-2222-2-200000000000-200002000002i−2i02i−2i−2i−2i2i2i0000000000
χ2822222-2-22-2-22-2-2222-2-200000000000-20000200000−2i2i0−2i2i2i2i−2i−2i0000000000
χ292222-222-222-200200-2-222-2-2-2-2000020-20020-20000-2-222200000000000000
χ302222-222-222-200200-2-222-2-2-2-20000-20200-2020000222-2-200000000000000
χ312222-222-222-200200-2-2-2-22222000020-20020-2000022-2-2-200000000000000
χ322222-222-222-200200-2-2-2-222220000-20200-2020000-2-2-22200000000000000
χ332222-22-2-22-2200-2002-20000002i2i−2i−2i20-200-202002i−2i000002i−2i2i−2i0000000000
χ342222-22-2-22-2200-2002-20000002i2i−2i−2i-2020020-2002i−2i00000−2i2i−2i2i0000000000
χ352222-22-2-22-2200-2002-2000000−2i−2i2i2i20-200-20200−2i2i00000−2i2i−2i2i0000000000
χ362222-22-2-22-2200-2002-2000000−2i−2i2i2i-2020020-200−2i2i000002i−2i2i−2i0000000000
χ372222-2-22-2-22200-200-222222-2-200000002-20002-20000-2002-2-220000000000
χ382222-2-22-2-22200-200-222222-2-20000000-22000-220000-200-222-20000000000
χ392222-2-22-2-22200-200-22-2-2-2-22200000002-20002-20000200-222-20000000000
χ402222-2-22-2-22200-200-22-2-2-2-2220000000-22000-2200002002-2-220000000000
χ412222-2-2-2-2-2-2-200200220000002i2i−2i−2i0002-2000-22−2i2i−2i2i02i−2i00000000000000
χ422222-2-2-2-2-2-2-200200220000002i2i−2i−2i000-220002-2−2i2i2i−2i0−2i2i00000000000000
χ432222-2-2-2-2-2-2-20020022000000−2i−2i2i2i0002-2000-222i−2i2i−2i0−2i2i00000000000000
χ442222-2-2-2-2-2-2-20020022000000−2i−2i2i2i000-220002-22i−2i−2i2i02i−2i00000000000000
χ4544-4-4400-40004-40000022−220022−2222−2222−220000000000000000000000000000000
χ4644-4-4400-40004-400000−222200−2222−2222−22220000000000000000000000000000000
χ4744-4-4400-4000-440000022−220022−22−2222−22220000000000000000000000000000000
χ4844-4-4400-4000-4400000−222200−222222−2222−220000000000000000000000000000000
χ4944-4-4-40040000004i−4i0022−2200−22222i2−2i2−2i22i20000000000000000000000000000000
χ5044-4-4-40040000004i−4i00−22220022−22−2i22i22i2−2i20000000000000000000000000000000
χ5144-4-4-4004000000−4i4i0022−2200−2222−2i22i22i2−2i20000000000000000000000000000000
χ5244-4-4-4004000000−4i4i00−22220022−222i2−2i2−2i22i20000000000000000000000000000000
χ534-44-400-400400000000004i−4i0000000000000000000000000002i−2i2-2000000
χ544-44-400-400400000000004i−4i000000000000000000000000000−2i2i-22000000
χ554-44-400-40040000000000−4i4i0000000000000000000000000002i−2i-22000000
χ564-44-400-40040000000000−4i4i000000000000000000000000000−2i2i2-2000000
χ578-88-800800-80000000000000000000000000000000000000000000000000
χ588-8-880800-800000000000000000000000000000000000000000000000000
χ598-8-880-800800000000000000000000000000000000000000000000000000

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