Finite Group Databasebeta

← Group #487381

Character table — Group #487381

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244488888888888888888881616161616161616161616161632323232
order12222244224222444444444444444424444444488884488
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-111-1-1-1111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1111-111-1-1-1-111-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-111
χ5111111111111-1-111-1-1111111-1-1-1-1111-1-11111-1-11111-1-1-1-1
χ6111111111111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111
χ7111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111
χ8111111111111-1-111-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-1111111-1-1
χ9111111-1-111-1-111-1-1-1-111-1-11111-1-11111-11-1-1-11-111-1-11-11-1
χ10111111-1-111-1-111-1-1-1-111-1-11111-1-111-11-1-111-11-1-1-111-11-11
χ11111111-1-111-1-111-1-1-1-1-1-111-1-1-1-111111-111-1-111-1-1-1111-1-11
χ12111111-1-111-1-111-1-1-1-1-1-111-1-1-1-11111-1-11-11111-111-1-1-111-1
χ13111111-1-111-1-1-1-1-1-11111-1-111-1-111111-111-1-1-1-1111-1-1-11-11
χ14111111-1-111-1-1-1-1-1-11111-1-111-1-11111-1-11-111-1-11-1-1111-11-1
χ15111111-1-111-1-1-1-1-1-111-1-111-1-111-1-11111-11-1-11-11-1-111-111-1
χ16111111-1-111-1-1-1-1-1-111-1-111-1-111-1-111-11-1-1111-1111-1-11-1-11
χ1722222222222-2222-2220000000000-2-20000000-2-200000000
χ1822222222222-2-2-22-2-2-20000000000-2-200000002200000000
χ1922222222-2-22200-2-20000000022222-20-2-200000000000000
χ2022222222-2-22200-2-200000000-2-2-2-22-202200000000000000
χ2122222222-2-22-200-22002222-2-20000-22000000-20000000000
χ2222222222-2-22-200-2200-2-2-2-2220000-2200000020000000000
χ23222222-2-222-2222-22-2-20000000000-2-20000000-2200000000
χ24222222-2-222-22-2-2-22220000000000-2-200000002-200000000
χ25222222-2-2-2-2-22002-20022-2-2-2-20000-2200000020000000000
χ26222222-2-2-2-2-22002-200-2-222220000-22000000-20000000000
χ27222222-2-2-2-2-2-200220000000022-2-22-20-2200000000000000
χ28222222-2-2-2-2-2-2002200000000-2-2222-202-200000000000000
χ294444-4-44400-40000000000000000000200-22-200000000000
χ304444-4-44400-40000000000000000000-2002-2200000000000
χ314444-4-4-4-40040000000000000000000200-2-2200000000000
χ324444-4-4-4-40040000000000000000000-20022-200000000000
χ3344-4-4004i−4i00002-2002i−2i2-22i−2i002-22i−2i0000000000000000000
χ3444-4-4004i−4i00002-2002i−2i-22−2i2i00-22−2i2i0000000000000000000
χ3544-4-4004i−4i0000-2200−2i2i2-22i−2i00-22−2i2i0000000000000000000
χ3644-4-4004i−4i0000-2200−2i2i-22−2i2i002-22i−2i0000000000000000000
χ3744-4-400−4i4i00002-200−2i2i2-2−2i2i002-2−2i2i0000000000000000000
χ3844-4-400−4i4i00002-200−2i2i-222i−2i00-222i−2i0000000000000000000
χ3944-4-400−4i4i0000-22002i−2i2-2−2i2i00-222i−2i0000000000000000000
χ4044-4-400−4i4i0000-22002i−2i-222i−2i002-2−2i2i0000000000000000000
χ414-44-44-4004-4000000000000000000000000000000022−220000
χ424-44-44-4004-40000000000000000000000000000000−22220000
χ434-44-44-400-44000000000000000000000000000002i2−2i2000000
χ444-44-44-400-4400000000000000000000000000000−2i22i2000000
χ458-88-8-8800000000000000000000000000000000000000000
χ468-8-880000000000000000004i−4i00000000000000000000000
χ478-8-88000000000000000000−4i4i00000000000000000000000

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