Finite Group Databasebeta

← Group #130925

Character table — Group #130925

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11112244444444888888888888888161616161616161616161616161632323232
order12222244444444444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-1-1-1-1-111111-1-11-1-111111111-1-1-1-1
χ411111111111111111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1111-1-11111-1-111-11-1-1-1-11111-1-1-1-111-1-1
χ611111111111111-1-1111-1-11111-1-111-11-1-1-1-1-1-1-1-11111-1-111
χ711111111111111-1-11-1-111-1-1-1-1-1-111-1-11-1111111-1-1-1-1-1-111
χ811111111111111-1-11-1-111-1-1-1-1-1-111-1-11-111-1-1-1-1111111-1-1
χ911111111-1-111-1-111111-1-1-1-1-1-1-1-1-1-111-1-111ii−i−iii−i−ii−ii−i
χ1011111111-1-111-1-111111-1-1-1-1-1-1-1-1-1-111-1-111−i−iii−i−iii−ii−ii
χ1111111111-1-111-1-1111-1-1111111-1-1-1-11-11-1-1-1ii−i−iii−i−i−ii−ii
χ1211111111-1-111-1-1111-1-1111111-1-1-1-11-11-1-1-1−i−iii−i−iiii−ii−i
χ1311111111-1-111-1-1-1-111111-1-1-1-111-1-1-1111-1-1ii−i−i−i−iiii−i−ii
χ1411111111-1-111-1-1-1-111111-1-1-1-111-1-1-1111-1-1−i−iiiii−i−i−iii−i
χ1511111111-1-111-1-1-1-11-1-1-1-1111111-1-1-1-1-1111ii−i−i−i−iii−iii−i
χ1611111111-1-111-1-1-1-11-1-1-1-1111111-1-1-1-1-1111−i−iiiii−i−ii−i−ii
χ172222222222-2-22222-20000000022-2-2-200-200000000000000
χ182222222222-2-222-2-2-200000000-2-2-2-2200200000000000000
χ1922222222-2-2-2-2-2-222-200000000-2-222-200200000000000000
χ2022222222-2-2-2-2-2-2-2-2-2000000002222200-200000000000000
χ21222222-2-22-2222-200-2220022-2-2002-20-20000000000000000
χ22222222-2-22-2222-200-2-2-200-2-222002-2020000000000000000
χ23222222-2-22-2-2-22-20020022000000-2200-202-2000000000000
χ24222222-2-22-2-2-22-200200-2-2000000-220020-22000000000000
χ25222222-2-2-2222-2200-22200-2-22200-220-20000000000000000
χ26222222-2-2-2222-2200-2-2-20022-2-200-22020000000000000000
χ27222222-2-2-22-2-2-2200200220000002-200-20-22000000000000
χ28222222-2-2-22-2-2-2200200-2-20000002-200202-2000000000000
χ2922-2-22-22-22200-2-22-20000000002-2000000002−22−22−22−20000
χ3022-2-22-22-22200-2-22-20000000002-200000000−22−22−22−220000
χ3122-2-22-22-22200-2-2-22000000000-22000000002−22−2−22−220000
χ3222-2-22-22-22200-2-2-22000000000-2200000000−22−222−22−20000
χ3322-2-22-22-2-2-200222-2000000000-2200000000i2−i2−i2i2i2−i2−i2i20000
χ3422-2-22-22-2-2-200222-2000000000-2200000000−i2i2i2−i2−i2i2i2−i20000
χ3522-2-22-22-2-2-20022-220000000002-200000000i2−i2−i2i2−i2i2i2−i20000
χ3622-2-22-22-2-2-20022-220000000002-200000000−i2i2i2−i2i2−i2−i2i20000
χ374444-4-400004-4000000000004-40000000000000000000000
χ384444-4-400004-400000000000-440000000000000000000000
χ394444-4-40000-440000000004-4000000000000000000000000
χ404444-4-40000-44000000000-44000000000000000000000000
χ4144-4-44-4-444-400-44000000000000000000000000000000000
χ4244-4-44-4-44-44004-4000000000000000000000000000000000
χ4388-8-8-8800000000000000000000000000000000000000000
χ448-88-80000000000000004-400000000000000000000000000
χ458-88-8000000000000000-4400000000000000000000000000
χ468-8-8800000000000004i−4i0000000000000000000000000000
χ478-8-880000000000000−4i4i0000000000000000000000000000

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