Finite Group Databasebeta

← Group #488237

Character table — Group #488237

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122224444488888888888888888816161616161616161616161616161616163232
order12222244224442224444444444444442244444448888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-111-1-1-1-1111111-1-11-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11-1-111111111-1-1
χ511111111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-111-1-1-1-11111-1-1
χ611111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111-1-1-1-11-1-1-1-1-1-1111111111111-1-1-11111-1-1-1-1-1-1
χ811111111111111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1111111
χ9111111-1-1-1-1-111-111-1-1-111-1-1-1-111-1-1111-11-11-111-111-1-111-1-11-1
χ10111111-1-1-1-1-111-111-1-1-111-1-1-1-111-1-111-11-111-111-1-1-111-1-111-11
χ11111111-1-1-1-1-111-111-1-1-1-1-111-1-1-1-111111-11-1-111-11-1-111-1-1111-1
χ12111111-1-1-1-1-111-111-1-1-1-1-111-1-1-1-11111-11-11-111-1111-1-111-1-1-11
χ13111111-1-1-1-1-111-1-1-111-111-1-111-1-111111-11-1-11-11-1-1-11111-1-1-11
χ14111111-1-1-1-1-111-1-1-111-111-1-111-1-11111-11-11-11-11-111-1-1-1-1111-1
χ15111111-1-1-1-1-111-1-1-111-1-1-1111111-1-1111-11-11-1-1-1111-1-1-1-111-11
χ16111111-1-1-1-1-111-1-1-111-1-1-1111111-1-111-11-111-1-1-11-1-11111-1-11-1
χ1722222222222-2-2-20000-222220000002-20000000-2-20000000000
χ1822222222222-2-2-20000-2-2-2-2-20000002-20000000220000000000
χ1922222222-2-2222-2000020000002222-2-20000-2-20000000000000
χ2022222222-2-2222-200002000000-2-2-2-2-2-20000220000000000000
χ2122222222-2-22-2-222222-20000-2-20000-22000000-2000000000000
χ2222222222-2-22-2-22-2-2-2-2-20000220000-220000002000000000000
χ23222222-2-222-22220000-200000022-2-2-2-20000-220000000000000
χ24222222-2-222-22220000-2000000-2-222-2-200002-20000000000000
χ25222222-2-222-2-2-2-222-2-220000220000-22000000-2000000000000
χ26222222-2-222-2-2-2-2-2-22220000-2-20000-220000002000000000000
χ27222222-2-2-2-2-2-2-220000222-2-20000002-20000000-220000000000
χ28222222-2-2-2-2-2-2-2200002-2-2220000002-200000002-20000000000
χ294444-4-44400-40000000000000000000022-2-2000000000000000
χ304444-4-44400-400000000000000000000-2-222000000000000000
χ314444-4-4-4-4004000000000000000000002-2-22000000000000000
χ324444-4-4-4-400400000000000000000000-222-2000000000000000
χ3344-4-4004-40000002-22-202i−2i2i−2i002i−2i2i−2i000000000000000000000
χ3444-4-4004-40000002-22-20−2i2i−2i2i00−2i2i−2i2i000000000000000000000
χ3544-4-4004-4000000-22-2202i−2i2i−2i00−2i2i−2i2i000000000000000000000
χ3644-4-4004-4000000-22-220−2i2i−2i2i002i−2i2i−2i000000000000000000000
χ3744-4-400-440000002-2-2202i−2i−2i2i002i−2i−2i2i000000000000000000000
χ3844-4-400-440000002-2-220−2i2i2i−2i00−2i2i2i−2i000000000000000000000
χ3944-4-400-44000000-222-202i−2i−2i2i00−2i2i2i−2i000000000000000000000
χ4044-4-400-44000000-222-20−2i2i2i−2i002i−2i−2i2i000000000000000000000
χ414-44-44-4000004-40000000000000000000000000000000002i2−2i200
χ424-44-44-4000004-4000000000000000000000000000000000−2i22i200
χ434-44-44-400000-4400000000000000000000000000000002i2−2i20000
χ444-44-44-400000-440000000000000000000000000000000−2i22i20000
χ454-44-4-44004-40000000000000000000000000000002i−2i2i−2i000000
χ464-44-4-44004-4000000000000000000000000000000−2i2i−2i2i000000
χ474-44-4-4400-440000000000000000000000000000002i−2i−2i2i000000
χ484-44-4-4400-44000000000000000000000000000000−2i2i2i−2i000000
χ498-8-8800000000000000000004-40000000000000000000000000
χ508-8-880000000000000000000-440000000000000000000000000

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