Finite Group Databasebeta

← Group #134111

Character table — Group #134111

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222244444444888888888888888888888816163232323232323232
order12222222224444444422224444444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ5111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1ii−i−iii−i−i
χ6111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1−i−iii−i−iii
χ7111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ911111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11-11-11-11-1
χ1011111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-11-11-11-11
χ1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111i−ii−i−ii−ii
χ1211111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111−ii−iii−ii−i
χ1311111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111i−i−iii−i−ii
χ1411111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111−iii−i−iii−i
χ1511111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-11-1-11-111-1
χ1611111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-111-11-1-11
χ172222222222-2-2-2-2222200000000-2-20000000022-2-22-200000000
χ182222222222-2-2-2-2222200000000-2-200000000-2-222-2200000000
χ192222222222-2-2-2-2-2-2-2-200000000220000000022-2-2-2200000000
χ202222222222-2-2-2-2-2-2-2-2000000002200000000-2-2222-200000000
χ2122222-2-2-2-2222-2-20000000022-2-200000022-2-22-22-20000000000
χ2222222-2-2-2-2222-2-20000000022-2-2000000-2-222-22-220000000000
χ2322222-2-2-2-2222-2-200000000-2-22200000022-2-2-22-220000000000
χ2422222-2-2-2-2222-2-200000000-2-222000000-2-2222-22-20000000000
χ2522222-2-2-2-22-2-222000022-2-200000022-2-200002-2-220000000000
χ2622222-2-2-2-22-2-222000022-2-2000000-2-2220000-222-20000000000
χ2722222-2-2-2-22-2-2220000-2-22200000022-2-20000-222-20000000000
χ2822222-2-2-2-22-2-2220000-2-222000000-2-22200002-2-220000000000
χ294444-444-4-4-400000000000000004-40000000000000000000000
χ304444-444-4-4-40000000000000000-440000000000000000000000
χ314444-4-4-444-4000044-4-400000000000000000000000000000000
χ324444-4-4-444-40000-4-44400000000000000000000000000000000
χ3344-4-440000-4004-40000004-40000000000000000000000000000
χ3444-4-440000-4004-4000000-440000000000000000000000000000
χ3544-4-440000-400-4400004-4000000000000000000000000000000
χ3644-4-440000-400-440000-44000000000000000000000000000000
χ3744-4-4-4000044-40000000000004i−4i000000000000000000000000
χ3844-4-4-4000044-4000000000000−4i4i000000000000000000000000
χ3944-4-4-400004-4400000000004i−4i00000000000000000000000000
χ4044-4-4-400004-440000000000−4i4i00000000000000000000000000
χ414-44-40004-400000004-400000000002i−2i2i−2i2i−2i2i−2i00000000000000
χ424-44-40004-400000004-40000000000−2i2i−2i2i−2i2i−2i2i00000000000000
χ434-44-40004-40000000-4400000000002i−2i2i−2i−2i2i−2i2i00000000000000
χ444-44-40004-40000000-440000000000−2i2i−2i2i2i−2i2i−2i00000000000000
χ454-44-4000-44000004-40000000000002i−2i−2i2i2i−2i−2i2i00000000000000
χ464-44-4000-44000004-4000000000000−2i2i2i−2i−2i2i2i−2i00000000000000
χ474-44-4000-4400000-440000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ484-44-4000-4400000-44000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ498-8-8808-80000000000000000000000000000000000000000000
χ508-8-880-880000000000000000000000000000000000000000000

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