Finite Group Databasebeta

← Group #487656

Character table — Group #487656

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size111122224444488888816161616161616161616161616161616161616161616163232
order12222244224444444442222444444444444444888888
χ111111111111111111111111111111111111111111111
χ21111111111111111111111-1-11-111-111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-11111-1-11-1-11-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111-1-1-1-11-1-1-1-1-1-11-1-111111111-1-1
χ5111111111111111-1-111-11-111-111-111-1-11-11111-1-1-1-1-1-1
χ6111111111111111-1-111-11-1-1-1-1-11-1-11-1-11-1-1-1-1-1111111
χ7111111111111111-1-111-1-1111-11-111-11-1-11-1-1-1-11111-1-1
χ8111111111111111-1-111-1-11-1-1-1-1-11-1-11-1-111111-1-1-1-111
χ9111111-1-111-1-1-1-1-1111111-11-1-11-11-111-1-1-111-1-111-1-11-1
χ10111111-1-111-1-1-1-1-1111111-1-11-1-1-11111-1-1-1-1-111-1-111-11
χ11111111-1-111-1-1-1-1-111111-111-1-111-1-1-1-1-111-1-111-1-1111-1
χ12111111-1-111-1-1-1-1-111111-11-11-1-11-11-1-1-11111-1-111-1-1-11
χ13111111-1-111-1-1-1-1-1-1-111-1111-111-1-1-11-11-1111-1-1-1-111-11
χ14111111-1-111-1-1-1-1-1-1-111-111-111-1-1-111-11-11-1-11111-1-11-1
χ15111111-1-111-1-1-1-1-1-1-111-1-1-11-11111-1-1111-1-1-11111-1-1-11
χ16111111-1-111-1-1-1-1-1-1-111-1-1-1-111-1111-1111-111-1-1-1-1111-1
χ172222222222-2-222-200-2-20200000200-200-200000000000
χ182222222222-2-222-200-2-20-200000-200200200000000000
χ1922222222-2-2222-2-200-2200200000200-200-20000000000
χ2022222222-2-2222-2-200-2200-200000-20020020000000000
χ2122222222-2-2-2-22-22222-2-20000-20000002000000000000
χ2222222222-2-2-2-22-22-2-22-2200002000000-2000000000000
χ23222222-2-22222-2-2200-2-20200000-200-200200000000000
χ24222222-2-22222-2-2200-2-20-200000200200-200000000000
χ25222222-2-2-2-222-22-2222-2-200002000000-2000000000000
χ26222222-2-2-2-222-22-2-2-22-220000-20000002000000000000
χ27222222-2-2-2-2-2-2-22200-2200200000-200200-20000000000
χ28222222-2-2-2-2-2-2-22200-2200-200000200-20020000000000
χ294444-4-4440000-40000000002-20-2002000000000000000
χ304444-4-4440000-4000000000-220200-2000000000000000
χ314444-4-4-4-400004000000000220-200-2000000000000000
χ324444-4-4-4-400004000000000-2-202002000000000000000
χ334-44-44-400004i−4i00000000000000000000002-22i−2i000000
χ344-44-44-400004i−4i0000000000000000000000-22−2i2i000000
χ354-44-44-40000−4i4i00000000000000000000002-2−2i2i000000
χ364-44-44-40000−4i4i0000000000000000000000-222i−2i000000
χ374-44-4-44004-400000000000000000000000000002i2−2i20000
χ384-44-4-44004-40000000000000000000000000000−2i22i20000
χ394-44-4-4400-4400000000000000000000000000000022−2200
χ404-44-4-4400-44000000000000000000000000000000−222200
χ4188-8-8008i−8i000000000000000000000000000000000000
χ4288-8-800−8i8i000000000000000000000000000000000000
χ438-8-88000000000004-4000000000000000000000000000
χ448-8-8800000000000-44000000000000000000000000000

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