Finite Group Databasebeta

← Group #476143

Character table — Group #476143

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222222222888816161616161616161616161616161616161616161616161616161616
order12442222222444444488882222444444444488888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ3111111111111111111111111-1111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ4111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ51111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1
χ61111111111111111111111-1-11-1-1-11-1-1-11111-1-111-1-1-1-1-1-11111
χ71111111111111111111111-1-1-11-1-1-11-1-11111-1-1-1-1111111-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111
χ9111111111111111111-1-1-1-11-1111-1111111-1-1-1-1-1-111-1-1-1-111-1-1
χ10111111111111111111-1-1-1-11-11-11-11-1-1-1-1-11111-1-111-1-111-1-111
χ11111111111111111111-1-1-1-11-1-111-1-11-1-1-1-1111111-1-111-1-111-1-1
χ12111111111111111111-1-1-1-11-1-1-11-1-1-11111-1-1-1-111-1-11111-1-111
χ13111111111111111111-1-1-1-1-1111-111111-1-111-1-1-1-1-1-111-1-1-1-111
χ14111111111111111111-1-1-1-1-111-1-111-1-1-111-1-111-1-1-1-1111111-1-1
χ15111111111111111111-1-1-1-1-11-11-11-11-1-111-1-1111111-1-1-1-1-1-111
χ16111111111111111111-1-1-1-1-11-1-1-11-1-111-1-111-1-11111-1-11111-1-1
χ1722222-2-2-222-2-2-22-222-20000000000000000002-200002-2002-200
χ1822222-2-2-222-2-2-22-222-20000000000000000002-20000-2200-2200
χ1922222-2-2-222-2-2-22-222-2000000000000000000-2200002-200-2200
χ2022222-2-2-222-2-2-22-222-2000000000000000000-220000-22002-200
χ2122-2-22222222-2-2-2-2-2-2-20000000000002-20000002i−2i00002i−2i0000
χ2222-2-22222222-2-2-2-2-2-2-20000000000002-2000000−2i2i0000−2i2i0000
χ2322-2-22222222-2-2-2-2-2-2-2000000000000-220000002i−2i0000−2i2i0000
χ2422-2-22222222-2-2-2-2-2-2-2000000000000-22000000−2i2i00002i−2i0000
χ2522-2-2222-2-2-2-2-2-2-2222222-2-22200-2-20000000000000000000000
χ2622-2-2222-2-2-2-2-2-2-2222222-2-2-2-200220000000000000000000000
χ2722-2-2222-2-2-2-2-2-2-22222-2-2222-200-220000000000000000000000
χ2822-2-2222-2-2-2-2-2-2-22222-2-222-22002-20000000000000000000000
χ2922-2-2-22-2-22-222-22-22-2200000002000-2002-20000002-200000000
χ3022-2-2-22-2-22-222-22-22-2200000002000-200-22000000-2200000000
χ3122-2-2-22-2-22-222-22-22-220000000-20002002-2000000-2200000000
χ3222-2-2-22-2-22-222-22-22-220000000-2000200-220000002-200000000
χ3322-2-2-2-22-2-222-222-2-2220000002000-2000002-20000000000002-2
χ3422-2-2-2-22-2-222-222-2-2220000002000-200000-22000000000000-22
χ3522-2-2-2-22-2-222-222-2-222000000-20002000002-2000000000000-22
χ3622-2-2-2-22-2-222-222-2-222000000-2000200000-220000000000002-2
χ374444444-4-4-4-4444-4-4-4-400000000000000000000000000000000
χ3844444-4-44-4-44-4-444-4-4400000000000000000000000000000000
χ394444-44-44-44-4-44-4-44-4400000000000000000000000000000000
χ404444-44-4-44-44-44-44-44-400000000000000000000000000000000
χ414444-4-4444-4-44-4-4-4-44400000000000000000000000000000000
χ424444-4-44-4-4444-4-444-4-400000000000000000000000000000000
χ4344-4-44-4-44-4-4444-4-444-400000000000000000000000000000000
χ4444-4-44-4-4-444-444-44-4-4400000000000000000000000000000000
χ4544-4-4-44-44-44-44-444-44-400000000000000000000000000000000
χ4644-4-4-4-4444-4-4-44444-4-400000000000000000000000000000000
χ478-88i−8i0000000000000022−222i2−2i20000000000000000000000000000
χ488-88i−8i00000000000000−2222−2i22i20000000000000000000000000000
χ498-8−8i8i0000000000000022−22−2i22i20000000000000000000000000000
χ508-8−8i8i00000000000000−22222i2−2i20000000000000000000000000000

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