Finite Group Databasebeta

← Group #487580

Character table — Group #487580

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1111222244488888881616161616161616161616161616161616161632323232
order12222244444444444422244444444444488888888
χ111111111111111111111111111111111111111111
χ211111111111111111111-11111-1-1-111111-1-1-1-1-1-1-1-1
χ31111111111111111111-111-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ511111111111111-1-111-111-11-1-1111-111-1-1-1-1-1-1-1-111
χ611111111111111-1-111-11-1-11-1-1-1-1-1-111-1-1111111-1-1
χ711111111111111-1-111-1-11-1-111111-1-1-111-1-1-1-111-1-1
χ811111111111111-1-111-1-1-1-1-111-1-1-1-1-1-1111111-1-111
χ9111111-1-11-11-1-1-11111-1111-11-11-1-1-11-11-111-1-11-11-1
χ10111111-1-11-11-1-1-11111-11-11-11-1-111-11-11-1-1-111-11-11
χ11111111-1-11-11-1-1-11111-1-1111-111-1-1-1-11-1111-1-1-11-11
χ12111111-1-11-11-1-1-11111-1-1-111-11-111-1-11-11-1-1111-11-1
χ13111111-1-11-11-1-1-1-1-111111-1-1-111-1-111-1-11-1-111-111-1
χ14111111-1-11-11-1-1-1-1-11111-1-1-1-11-11111-1-1111-1-11-1-11
χ15111111-1-11-11-1-1-1-1-1111-11-111-11-1-11-111-1-1-1111-1-11
χ16111111-1-11-11-1-1-1-1-1111-1-1-111-1-1111-111-111-1-1-111-1
χ17222222222222-2-200-2-20000022000000-2-200000000
χ18222222222222-2-200-2-200000-2-20000002200000000
χ1922222222-22-2-22-2002-202002000000-2-20000000000
χ2022222222-22-2-22-2002-20-200-2000000220000000000
χ2122222222-22-2-2-2222-22-200-20000002000000000000
χ2222222222-22-2-2-22-2-2-222002000000-2000000000000
χ23222222-2-22-22-22200-2-2000002-2000000-2200000000
χ24222222-2-22-22-22200-2-200000-220000002-200000000
χ25222222-2-2-2-2-222-222-22200-2000000-2000000000000
χ26222222-2-2-2-2-222-2-2-2-22-20020000002000000000000
χ27222222-2-2-2-2-22-22002-20200-2000000-220000000000
χ28222222-2-2-2-2-22-22002-20-20020000002-20000000000
χ294444-4-4440-4000000000020000-22-20000000000000
χ304444-4-4440-40000000000-200002-220000000000000
χ314444-4-4-4-404000000000020000-2-220000000000000
χ324444-4-4-4-4040000000000-2000022-20000000000000
χ3344-4-4-440040-400000000000000000000002i2−2i2000000
χ3444-4-4-440040-40000000000000000000000−2i22i2000000
χ3544-4-4-4400-40400000000000000000000000022−220000
χ3644-4-4-4400-404000000000000000000000000−22220000
χ3788-8-88-800000000000000000000000000000000000
χ388-88-800000000004i−4i0000000000000000000000000
χ398-88-80000000000−4i4i0000000000000000000000000
χ408-8-88008i−8i000000000000000000000000000000000
χ418-8-8800−8i8i000000000000000000000000000000000

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