Finite Group Databasebeta

← Group #487309

Character table — Group #487309

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244488888888888888888881616161616161616161616161632323232
order12222244224222224444444444444424444444488884488
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-1-1-1111-111111-1-1-1-1-1-111-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-111
χ5111111111111-1-1-1-1111111-1-1-1-1-1-1111-1111-1-111-1-1-1-1-1-111
χ6111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-111111111-1-1
χ7111111111111-1-1-1-111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1
χ8111111111111-1-1-1-111-1-1-1-111111111-11-1-1-1-1-1-1-1-1-1-1-11111
χ9111111-1-111-1-111-1-1-1-111-1-11111-1-1111-1-1-111-11-111-1-11-11-1
χ10111111-1-111-1-111-1-1-1-111-1-11111-1-111-1-111-11-11-1-1-111-11-11
χ11111111-1-111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-11-1-1111-1-11
χ12111111-1-111-1-111-1-1-1-1-1-111-1-1-1-11111-1111-11-1-1111-1-1-111-1
χ13111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-11-111-1-1-111-111-1
χ14111111-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1111-1-111-111-1-11-1-11
χ15111111-1-111-1-1-1-111-1-1-1-1111111-1-1111-1-1-11-11-1111-1-1-11-11
χ16111111-1-111-1-1-1-111-1-1-1-1111111-1-111-1-111-1-11-11-1-1111-11-1
χ1722222222222-222222-20000000000-2-200000-2-20000000000
χ1822222222222-2-2-2-2-22-20000000000-2-200000220000000000
χ1922222222-2-2220000-2-222220000002-20000000-2-200000000
χ2022222222-2-2220000-2-2-2-2-2-20000002-200000002200000000
χ2122222222-2-22-20000-22000022-2-2-2-2-2202000000000000000
χ2222222222-2-22-20000-220000-2-22222-220-2000000000000000
χ23222222-2-222-2222-2-2-220000000000-2-200000-220000000000
χ24222222-2-222-22-2-222-220000000000-2-2000002-20000000000
χ25222222-2-2-2-2-2200002-2000022-2-222-220-2000000000000000
χ26222222-2-2-2-2-2200002-20000-2-222-2-2-2202000000000000000
χ27222222-2-2-2-2-2-200002222-2-20000002-20000000-2200000000
χ28222222-2-2-2-2-2-2000022-2-2220000002-200000002-200000000
χ294444-4-44400-40000000000000000000202-2-2000000000000
χ304444-4-44400-40000000000000000000-20-222000000000000
χ314444-4-4-4-4004000000000000000000020-22-2000000000000
χ324444-4-4-4-40040000000000000000000-202-22000000000000
χ3344-4-4004-400002-22-2002i−2i2i−2i002i−2i2i−2i0000000000000000000
χ3444-4-4004-400002-22-200−2i2i−2i2i00−2i2i−2i2i0000000000000000000
χ3544-4-4004-40000-22-22002i−2i2i−2i00−2i2i−2i2i0000000000000000000
χ3644-4-4004-40000-22-2200−2i2i−2i2i002i−2i2i−2i0000000000000000000
χ3744-4-400-4400002-2-22002i−2i−2i2i002i−2i−2i2i0000000000000000000
χ3844-4-400-4400002-2-2200−2i2i2i−2i00−2i2i2i−2i0000000000000000000
χ3944-4-400-440000-222-2002i−2i−2i2i00−2i2i2i−2i0000000000000000000
χ4044-4-400-440000-222-200−2i2i2i−2i002i−2i−2i2i0000000000000000000
χ414-4-444-4004-400000000000000000000000000000002i2−2i20000
χ424-4-444-4004-40000000000000000000000000000000−2i22i20000
χ434-4-444-400-440000000000000000000000000000022−22000000
χ444-4-444-400-4400000000000000000000000000000−2222000000
χ458-88-80000000000000000004i−4i00000000000000000000000
χ468-88-8000000000000000000−4i4i00000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

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