Finite Group Databasebeta

← Group #487547

Character table — Group #487547

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244488888888888888888881616161616161616161616161632323232
order12222244224244444444444444444424444444488884488
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1
χ41111111111111111-1-1-1-1-1-1-1-1111111-1-11-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1111111-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-111-1-1
χ6111111111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-111
χ7111111111111-1-111-1-1-1-11111-1-1-1-11111-111-1-111-1-1-1-1-1-111
χ8111111111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-111111111-1-1
χ9111111-1-111-1-111-1-111-1-111-1-111-1-1111-1-11-11-11-111-1-11-11-1
χ10111111-1-111-1-111-1-111-1-111-1-111-1-111-11-1-111-11-1-1-111-11-11
χ11111111-1-111-1-111-1-1-1-111-1-11111-1-1111-1-11-1-11-1111-1-1-11-11
χ12111111-1-111-1-111-1-1-1-111-1-11111-1-111-11-1-11-11-11-1-1111-11-1
χ13111111-1-111-1-1-1-1-1-111-1-1-1-111-1-111111-111-11-1-11-1-1111-1-11
χ14111111-1-111-1-1-1-1-1-111-1-1-1-111-1-11111-111-111-1-1111-1-1-111-1
χ15111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-111-1-111-1-1-111-111-1
χ16111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-11-111-111-1-11-1-11
χ1722222222222-2002-2222200000000-2-200000-2-20000000000
χ1822222222222-2002-2-2-2-2-200000000-2-200000220000000000
χ1922222222-2-22200-2-2000022220000-220000000-2-200000000
χ2022222222-2-22200-2-20000-2-2-2-20000-2200000002200000000
χ2122222222-2-22-222-2200000000-2-2-2-22-200200000000000000
χ2222222222-2-22-2-2-2-220000000022222-200-200000000000000
χ23222222-2-222-2200-2222-2-200000000-2-200000-220000000000
χ24222222-2-222-2200-22-2-22200000000-2-2000002-20000000000
χ25222222-2-2-2-2-22222-200000000-2-2222-200-200000000000000
χ26222222-2-2-2-2-22-2-22-20000000022-2-22-200200000000000000
χ27222222-2-2-2-2-2-20022000022-2-20000-220000000-2200000000
χ28222222-2-2-2-2-2-200220000-2-2220000-2200000002-200000000
χ294444-4-44400-400000000000000000002-20-22000000000000
χ304444-4-44400-40000000000000000000-2202-2000000000000
χ314444-4-4-4-40040000000000000000000220-2-2000000000000
χ324444-4-4-4-40040000000000000000000-2-2022000000000000
χ334-44-4004-4000000002-22-22i−2i2i−2i2i−2i2i−2i0000000000000000000
χ344-44-4004-4000000002-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000000
χ354-44-4004-400000000-22-222i−2i2i−2i−2i2i−2i2i0000000000000000000
χ364-44-4004-400000000-22-22−2i2i−2i2i2i−2i2i−2i0000000000000000000
χ374-44-400-44000000002-2-222i−2i−2i2i2i−2i−2i2i0000000000000000000
χ384-44-400-44000000002-2-22−2i2i2i−2i−2i2i2i−2i0000000000000000000
χ394-44-400-4400000000-222-22i−2i−2i2i−2i2i2i−2i0000000000000000000
χ404-44-400-4400000000-222-2−2i2i2i−2i2i−2i−2i2i0000000000000000000
χ414-4-44-44004-4000000000000000000000000000002i2−2i2000000
χ424-4-44-44004-400000000000000000000000000000−2i22i2000000
χ434-4-44-4400-44000000000000000000000000000000022−220000
χ444-4-44-4400-440000000000000000000000000000000−22220000
χ4588-8-8000000004-4000000000000000000000000000000000
χ4688-8-800000000-44000000000000000000000000000000000
χ478-8-888-800000000000000000000000000000000000000000

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