Finite Group Databasebeta

← Group #489293

Character table — Group #489293

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111122222222222244444444444888888888888888888816161616161616161616161616163232
order12224444444488882444444888824444488888161616161616161622244488881616161644
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111-1-11-1-111111-11111-11-1-1-1-1111111111-1-11-1-11111-1-1-1-1-1-1
χ611111111111111111-1-11-1-111111-11111-11-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1111111
χ711111111111111111-1-11-1-111111-1-1-1-1-1-11-1-1-1-111111111-111-111-1-1-1-1-1-1-1-111
χ811111111111111111-1-11-1-111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1
χ911111-1-1-1-11111111-111-1-1-11-1-111-111-1-11-111-1-11111-1-1-1-1111-1-1-111-1-111-1-11-1
χ1011111-1-1-1-11111111-111-1-1-11-1-111-111-1-11-111-1-1-1-1-1-11111111-1-1-1-1-111-1-111-11
χ1111111-1-1-1-11111111-111-1-1-11-1-111-1-1-1111-111-1-11111-1-1-1-1-1-1-1111-1-11111-1-1-11
χ1211111-1-1-1-11111111-111-1-1-11-1-111-1-1-1111-111-1-1-1-1-1-11111-1-1-111111-1-1-1-1111-1
χ1311111-1-1-1-11111111-1-1-1-1111-1-111111-1-1-1-1-1-1111111-1-1-1-11-1-1-11111-1-1-1-111-11
χ1411111-1-1-1-11111111-1-1-1-1111-1-111111-1-1-1-1-1-111-1-1-1-111111-1-1-111-1-11111-1-11-1
χ1511111-1-1-1-11111111-1-1-1-1111-1-1111-1-111-1-1-1-1111111-1-1-1-1-1111-1-1-1-111-1-1111-1
χ1611111-1-1-1-11111111-1-1-1-1111-1-1111-1-111-1-1-1-111-1-1-1-11111-1111-1-111-1-111-1-1-11
χ17222222222222-2-2-2-22222222-2-2-2-2200002-2-2-2-2-2000000000000000000000000
χ18222222222222-2-2-2-22-2-22-2-22-2-2-2-2-20000-2-22222000000000000000000000000
χ192222222-2-2-2-220000222-2-2-2-2000020000-20000022−2−222−2−200000000002−22−200
χ202222222-2-2-2-220000222-2-2-2-2000020000-200000−2−222−2−2220000000000−22−2200
χ212222222-2-2-2-2200002-2-2-222-20000-2000020000022−2−222−2−20000000000−22−2200
χ222222222-2-2-2-2200002-2-2-222-20000-20000200000−2−222−2−22200000000002−22−200
χ2322222-2-222-2-220000-222222-20000-20000-20000022−2−2−2−22200000000002−2−2200
χ2422222-2-222-2-220000-222222-20000-20000-200000−2−22222−2−20000000000−222−200
χ2522222-2-222-2-220000-2-2-22-2-2-200002000020000022−2−2−2−2220000000000−222−200
χ2622222-2-222-2-220000-2-2-22-2-2-2000020000200000−2−22222−2−200000000002−2−2200
χ2722222-2-2-2-2222-2-2-2-2-222-2-2-2222-2-2-2000022-2-222000000000000000000000000
χ2822222-2-2-2-2222-2-2-2-2-2-2-2-222222-2-220000-2222-2-2000000000000000000000000
χ292222-2222222-22222-200-200-222-2-2022220-2000000000000-200-2000000000000
χ302222-2222222-22222-200-200-222-2-20-2-2-2-20-20000000000002002000000000000
χ312222-2222222-2-2-2-2-2-200-200-2-2-222000000200000000000002-202-20000000000
χ322222-2222222-2-2-2-2-2-200-200-2-2-22200000020000000000000-220-220000000000
χ332222-2-2-2-2-222-22222200200-2-2-2-2-2022-2-202000000000000-2002000000000000
χ342222-2-2-2-2-222-22222200200-2-2-2-2-20-2-22202000000000000200-2000000000000
χ352222-2-2-2-2-222-2-2-2-2-2200200-22222000000-200000000000002-20-220000000000
χ362222-2-2-2-2-222-2-2-2-2-2200200-22222000000-20000000000000-2202-20000000000
χ372-22-202i−2i2i−2i2-2022-2-200000002i−2i0002i−2i2-20000002−22−2i2−i2i2−i2000000i2−i22−2000000
χ382-22-202i−2i2i−2i2-2022-2-200000002i−2i0002i−2i2-2000000−22−22−i2i2−i2i2000000−i2i2−22000000
χ392-22-202i−2i2i−2i2-2022-2-200000002i−2i000−2i2i-220000002−22−2i2−i2i2−i2000000−i2i2−22000000
χ402-22-202i−2i2i−2i2-2022-2-200000002i−2i000−2i2i-22000000−22−22−i2i2−i2i2000000i2−i22−2000000
χ412-22-20−2i2i−2i2i2-2022-2-20000000−2i2i0002i−2i-220000002−22−2−i2i2−i2i2000000i2−i2−22000000
χ422-22-20−2i2i−2i2i2-2022-2-20000000−2i2i0002i−2i-22000000−22−22i2−i2i2−i2000000−i2i22−2000000
χ432-22-20−2i2i−2i2i2-2022-2-20000000−2i2i000−2i2i2-20000002−22−2−i2i2−i2i2000000−i2i22−2000000
χ442-22-20−2i2i−2i2i2-2022-2-20000000−2i2i000−2i2i2-2000000−22−22i2−i2i2−i2000000i2−i2−22000000
χ454444-444-4-4-4-4-40000-4004004000000000000000000000000000000000000000
χ464444-4-4-444-4-4-40000400-4004000000000000000000000000000000000000000
χ4744-4-44000000-422−2222−2204-400000022−22000000022−2200000000000000000000000000
χ4844-4-44000000-422−2222−220-4400000022−220000000−222200000000000000000000000000
χ4944-4-44000000-4−2222−222204-4000000−22220000000−222200000000000000000000000000
χ5044-4-44000000-4−2222−22220-44000000−2222000000022−2200000000000000000000000000
χ5144-4-4-4000000422−2222−2200004i−4i000−22220000000002i2−2i2000000000000000000000000
χ5244-4-4-4000000422−2222−220000−4i4i000−2222000000000−2i22i2000000000000000000000000
χ5344-4-4-40000004−2222−222200004i−4i00022−22000000000−2i22i2000000000000000000000000
χ5444-4-4-40000004−2222−22220000−4i4i00022−220000000002i2−2i2000000000000000000000000
χ554-44-404i−4i4i−4i4-40-4-4440000000−4i4i0000000000000000000000000000000000000
χ564-44-404i−4i−4i4i-440000000000000000000000000002-2-222i−2i−2i2i0000000000000000
χ574-44-404i−4i−4i4i-44000000000000000000000000000-222-2−2i2i2i−2i0000000000000000
χ584-44-40−4i4i4i−4i-440000000000000000000000000002-2-22−2i2i2i−2i0000000000000000
χ594-44-40−4i4i4i−4i-44000000000000000000000000000-222-22i−2i−2i2i0000000000000000
χ604-44-40−4i4i−4i4i4-40-4-44400000004i−4i0000000000000000000000000000000000000
χ618-8-880000000042−42−42420000000000000000000000000000000000000000000000
χ628-8-8800000000−424242−420000000000000000000000000000000000000000000000

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