Finite Group Databasebeta

← Group #487488

Character table — Group #487488

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244488888888888888888881616161616161616161616161632323232
order12222244444444444444444444444424444444488888888
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-11-1-11-1111-1-1-1-1-1-1-1-1
χ3111111111111111-1-1111-1-111-1-1-1-1111-111-111-1-11111-1-1-1-1
χ4111111111111111-1-1111-1-111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111
χ51111111111111-1-1111-1-111-1-1-1-1-1-1111-111-11-111-1-1-1-1-1-111
χ61111111111111-1-1111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-111111111-1-1
χ71111111111111-1-1-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-111-1-1
χ81111111111111-1-1-1-11-1-1-1-1-1-1111111-11-1-11-1-1-1-11111-1-111
χ9111111-1-11-11-1-11111-1-1-1-1-1-1-111-1-1111-11-11-111-111-1-11-11-1
χ10111111-1-11-11-1-11111-1-1-1-1-1-1-111-1-111-1-1-111111-1-1-111-11-11
χ11111111-1-11-11-1-111-1-1-1-1-111-1-1-1-11111111-1-1-11-1111-1-1-11-11
χ12111111-1-11-11-1-111-1-1-1-1-111-1-1-1-11111-11-11-111-11-1-1111-11-1
χ13111111-1-11-11-1-1-1-111-111-1-111-1-11111111-1-1-1-11-1-1-111-111-1
χ14111111-1-11-11-1-1-1-111-111-1-111-1-11111-11-11-11-11-111-1-11-1-11
χ15111111-1-11-11-1-1-1-1-1-1-111111111-1-1111-11-11-1-1-11-1-1111-1-11
χ16111111-1-11-11-1-1-1-1-1-1-111111111-1-111-1-1-1111-1-1111-1-1-111-1
χ1722222222222-2-2000020000002222-2-20-200-2000000000000
χ1822222222222-2-200002000000-2-2-2-2-2-202002000000000000
χ1922222222-22-22-20022-200220000002-20000000-2-200000000
χ2022222222-22-22-200-2-2-200-2-20000002-200000002200000000
χ2122222222-22-2-222200-22200-2-20000-22000000-20000000000
χ2222222222-22-2-22-2-200-2-2-200220000-2200000020000000000
χ23222222-2-22-22220000-200000022-2-2-2-20200-2000000000000
χ24222222-2-22-22220000-2000000-2-222-2-20-2002000000000000
χ25222222-2-2-2-2-22-222002-2-200220000-22000000-20000000000
χ26222222-2-2-2-2-22-2-2-20022200-2-20000-2200000020000000000
χ27222222-2-2-2-2-2-220022200-2-20000002-20000000-2200000000
χ28222222-2-2-2-2-2-2200-2-2200220000002-200000002-200000000
χ294444-4-4440-40000000000000000000020-220-200000000000
χ304444-4-4440-400000000000000000000-202-20200000000000
χ314444-4-4-4-4040000000000000000000020-2-20200000000000
χ324444-4-4-4-40400000000000000000000-20220-200000000000
χ3344-4-44-40040-4000000000000000000000000000022−22000000
χ3444-4-44-40040-40000000000000000000000000000−2222000000
χ3544-4-44-400-4040000000000000000000000000000002i2−2i20000
χ3644-4-44-400-404000000000000000000000000000000−2i22i20000
χ374-4-44004i−4i000002i−2i2i−2i02-22-2002-22i−2i0000000000000000000
χ384-4-44004i−4i000002i−2i−2i2i02-2-2200-22−2i2i0000000000000000000
χ394-4-44004i−4i00000−2i2i2i−2i0-222-200-22−2i2i0000000000000000000
χ404-4-44004i−4i00000−2i2i−2i2i0-22-22002-22i−2i0000000000000000000
χ414-4-4400−4i4i000002i−2i2i−2i0-22-22002-2−2i2i0000000000000000000
χ424-4-4400−4i4i000002i−2i−2i2i0-222-200-222i−2i0000000000000000000
χ434-4-4400−4i4i00000−2i2i2i−2i02-2-2200-222i−2i0000000000000000000
χ444-4-4400−4i4i00000−2i2i−2i2i02-22-2002-2−2i2i0000000000000000000
χ4588-8-8-8800000000000000000000000000000000000000000
χ468-88-80000000000000000004-400000000000000000000000
χ478-88-8000000000000000000-4400000000000000000000000

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