Finite Group Databasebeta

← Group #487544

Character table — Group #487544

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244488888888888888888881616161616161616161616161632323232
order12222244224222444444444444444422444444488884488
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-11-1-1-1111-1-1-1-1-1-1-1-1
χ3111111111111111-1-1111-1-111-1-1-1-111-11-11111-1-11111-1-1-1-1
χ4111111111111111-1-1111-1-111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111
χ5111111111111-1-11111-1-111-1-1-1-1-1-111-11-1111-111-1-1-1-111-1-1
χ6111111111111-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-111
χ7111111111111-1-11-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111
χ8111111111111-1-11-1-11-1-1-1-1-1-11111111-11-1-1-1-1-1-1111111-1-1
χ9111111-1-111-1-111-111-1-1-1-1-1-1-111-1-11111-11-1-111-111-1-11-11-1
χ10111111-1-111-1-111-111-1-1-1-1-1-1-111-1-1111-1-1-11111-1-1-111-11-11
χ11111111-1-111-1-111-1-1-1-1-1-111-1-1-1-11111-1111-1-11-1111-1-1-11-11
χ12111111-1-111-1-111-1-1-1-1-1-111-1-1-1-11111-1-11-1111-11-1-1111-11-1
χ13111111-1-111-1-1-1-1-111-111-1-111-1-11111-1111-1-1-11-1-1-1111-1-11
χ14111111-1-111-1-1-1-1-111-111-1-111-1-11111-1-11-111-11-111-1-1-111-1
χ15111111-1-111-1-1-1-1-1-1-1-111111111-1-11111-11-1-1-1-11-1-111-111-1
χ16111111-1-111-1-1-1-1-1-1-1-111111111-1-1111-1-1-111-1-1111-1-11-1-11
χ1722222222222-200-22220022000000-2-20000000-2-200000000
χ1822222222222-200-2-2-2200-2-2000000-2-200000002200000000
χ1922222222-2-22200-200-20000002222-22-20-200000000000000
χ2022222222-2-22200-200-2000000-2-2-2-2-2220200000000000000
χ2122222222-2-22-222200-22200-2-200002-2000000-20000000000
χ2222222222-2-22-2-2-2200-2-2-2002200002-200000020000000000
χ23222222-2-222-2200222-200-2-2000000-2-20000000-2200000000
χ24222222-2-222-22002-2-2-20022000000-2-200000002-200000000
χ25222222-2-2-2-2-2222-2002-2-2002200002-2000000-20000000000
χ26222222-2-2-2-2-22-2-2-20022200-2-200002-200000020000000000
χ27222222-2-2-2-2-2-200200200000022-2-2-22-20200000000000000
χ28222222-2-2-2-2-2-2002002000000-2-222-2220-200000000000000
χ294444-4-44400-40000000000000000000020-2-2200000000000
χ304444-4-44400-400000000000000000000-2022-200000000000
χ314444-4-4-4-40040000000000000000000020-22-200000000000
χ324444-4-4-4-400400000000000000000000-202-2200000000000
χ3344-4-4004i−4i00002-202-202i−2i2i−2i002-22i−2i0000000000000000000
χ3444-4-4004i−4i00002-20-2202i−2i−2i2i00-22−2i2i0000000000000000000
χ3544-4-4004i−4i0000-2202-20−2i2i2i−2i00-22−2i2i0000000000000000000
χ3644-4-4004i−4i0000-220-220−2i2i−2i2i002-22i−2i0000000000000000000
χ3744-4-400−4i4i00002-202-20−2i2i−2i2i002-2−2i2i0000000000000000000
χ3844-4-400−4i4i00002-20-220−2i2i2i−2i00-222i−2i0000000000000000000
χ3944-4-400−4i4i0000-2202-202i−2i−2i2i00-222i−2i0000000000000000000
χ4044-4-400−4i4i0000-220-2202i−2i2i−2i002-2−2i2i0000000000000000000
χ414-44-4-44004-400000000000000000000000000000002i2−2i20000
χ424-44-4-44004-40000000000000000000000000000000−2i22i20000
χ434-44-4-4400-440000000000000000000000000000022−22000000
χ444-44-4-4400-4400000000000000000000000000000−2222000000
χ458-88-88-800000000000000000000000000000000000000000
χ468-8-880000000000000000004-400000000000000000000000
χ478-8-88000000000000000000-4400000000000000000000000

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