Finite Group Databasebeta

← Group #488242

Character table — Group #488242

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size111122224444488888816161616161616161616161616161616161616161616163232
order12222244224442444442244444444444448888888888
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111
χ31111111111111111111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111-1-11-1-1-1-1-1-111-1-1-1-111111111-1-1
χ5111111111111111-1-11111-11111-1-1-1-111-1-11111-1-1-1-1-1-1
χ6111111111111111-1-11111-111-1-111-1-1-1-111-1-1-1-11111-1-1
χ7111111111111111-1-111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111
χ8111111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111
χ9111111-1-1-1-1-111-1-111111-1-11-11-11-11-11-11-111-1-111-1-11-1
χ10111111-1-1-1-1-111-1-111111-1-11-1-11-111-1-11-11-1-111-1-1111-1
χ11111111-1-1-1-1-111-1-11111-11-1-111-11-11-11-11-1-1-111-1-111-11
χ12111111-1-1-1-1-111-1-11111-11-1-11-11-111-1-11-1111-1-111-1-1-11
χ13111111-1-1-1-1-111-1-1-1-1111-111-11-1-11-111-1-1111-1-1-1-111-11
χ14111111-1-1-1-1-111-1-1-1-1111-111-1-111-1-11-111-1-1-11111-1-1-11
χ15111111-1-1-1-1-111-1-1-1-111-111-111-1-11-111-1-11-1-11111-1-11-1
χ16111111-1-1-1-1-111-1-1-1-111-111-11-111-1-11-111-111-1-1-1-1111-1
χ1722222222222-2-2-2-2002-20000000220000-2-20000000000
χ1822222222222-2-2-2-2002-20000000-2-20000220000000000
χ1922222222-2-2222-2200-2-200000220000-2-2000000000000
χ2022222222-2-2222-2200-2-200000-2-2000022000000000000
χ2122222222-2-22-2-22-222-22002000000-2-200000000000000
χ2222222222-2-22-2-22-2-2-2-2200-20000002200000000000000
χ23222222-2-222-2222-200-2-2000002-20000-22000000000000
χ24222222-2-222-2222-200-2-200000-2200002-2000000000000
χ25222222-2-222-2-2-2-2222-2200-2000000-2200000000000000
χ26222222-2-222-2-2-2-22-2-2-220020000002-200000000000000
χ27222222-2-2-2-2-2-2-222002-200000002-20000-220000000000
χ28222222-2-2-2-2-2-2-222002-20000000-2200002-20000000000
χ294444-4-44400-4000000002-20-2200000000000000000000
χ304444-4-44400-400000000-2202-200000000000000000000
χ314444-4-4-4-400400000000220-2-200000000000000000000
χ324444-4-4-4-400400000000-2-202200000000000000000000
χ3344-4-44-4000004-40000000000000000000000000002i2−2i200
χ3444-4-44-4000004-4000000000000000000000000000−2i22i200
χ3544-4-44-400000-4400000000000000000000000002i2−2i20000
χ3644-4-44-400000-440000000000000000000000000−2i22i20000
χ3744-4-4-44004-40000000000000000000000002i−2i2i−2i000000
χ3844-4-4-44004-4000000000000000000000000−2i2i−2i2i000000
χ3944-4-4-4400-440000000000000000000000002i−2i−2i2i000000
χ4044-4-4-4400-44000000000000000000000000−2i2i2i−2i000000
χ418-88-8000000000004i−4i000000000000000000000000000
χ428-88-800000000000−4i4i000000000000000000000000000
χ438-8-88008i−8i000000000000000000000000000000000000
χ448-8-8800−8i8i000000000000000000000000000000000000

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