Finite Group Databasebeta

← Group #134827

Character table — Group #134827

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444444444448888888888888888161616163232323232323232
order12222244444444444488882244448888888888248888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ6111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111
χ7111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ8111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1
χ911111111111111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1i−ii−ii−ii−i
χ1011111111111111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1−ii−ii−ii−ii
χ1111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111i−ii−i−ii−ii
χ1211111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111−ii−iii−ii−i
χ1311111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111i−i−iii−i−ii
χ1411111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111−iii−i−iii−i
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1i−i−ii−iii−i
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1−iii−ii−i−ii
χ172222222222-2-2-2-222-2-222222-20000-2-2000022-2-2000000000000
χ182222222222-2-2-2-222-2-2-2-2-2-22-20000220000-2-222000000000000
χ192222222222-2-2-2-2-2-2222222-220000-2-20000-2-222000000000000
χ202222222222-2-2-2-2-2-222-2-2-2-2-22000022000022-2-2000000000000
χ21222222-2-2-2-222-2-222220000-2-222-2-200000000002-20000000000
χ22222222-2-2-2-222-2-222220000-2-2-2-2220000000000-220000000000
χ23222222-2-2-2-222-2-2-2-2-2-200002222-2-20000000000-220000000000
χ24222222-2-2-2-222-2-2-2-2-2-2000022-2-22200000000002-20000000000
χ25222222-2-2-2-2-2-22222-2-20000-220000002i2i−2i−2i0000002i−2i00000000
χ26222222-2-2-2-2-2-22222-2-20000-22000000−2i−2i2i2i000000−2i2i00000000
χ27222222-2-2-2-2-2-222-2-22200002-20000002i2i−2i−2i000000−2i2i00000000
χ28222222-2-2-2-2-2-222-2-22200002-2000000−2i−2i2i2i0000002i−2i00000000
χ294444-4-444-4-40000000000000000004i−4i00000000000000000000
χ304444-4-444-4-4000000000000000000−4i4i00000000000000000000
χ314444-4-4-4-4440000000044-4-40000000000000000000000000000
χ324444-4-4-4-44400000000-4-4440000000000000000000000000000
χ3344-4-44-40000004i−4i000000000000000000002i2−2i222−22000000000000
χ3444-4-44-40000004i−4i00000000000000000000−2i22i2−2222000000000000
χ3544-4-44-4000000−4i4i000000000000000000002i2−2i2−2222000000000000
χ3644-4-44-4000000−4i4i00000000000000000000−2i22i222−22000000000000
χ3744-4-4-4400004-4004i−4i4i−4i00000000000000000000000000000000
χ3844-4-4-4400004-400−4i4i−4i4i00000000000000000000000000000000
χ3944-4-4-440000-44004i−4i−4i4i00000000000000000000000000000000
χ4044-4-4-440000-4400−4i4i4i−4i00000000000000000000000000000000
χ414-4-4400004-400000000004i−4i002-22-2002i−2i2i−2i0000000000000000
χ424-4-4400004-400000000004i−4i00-22-2200−2i2i−2i2i0000000000000000
χ434-4-4400004-40000000000−4i4i002-22-200−2i2i−2i2i0000000000000000
χ444-4-4400004-40000000000−4i4i00-22-22002i−2i2i−2i0000000000000000
χ454-4-440000-44000000004-400002-2-22002-2-220000000000000000
χ464-4-440000-44000000004-40000-222-200-222-20000000000000000
χ474-4-440000-4400000000-4400002-2-2200-222-20000000000000000
χ484-4-440000-4400000000-440000-222-2002-2-220000000000000000
χ498-88-8008i−8i000000000000000000000000000000000000000000
χ508-88-800−8i8i000000000000000000000000000000000000000000

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