Finite Group Databasebeta

← Group #488362

Character table — Group #488362

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122224444488888888888888888816161616161616161616161616161616163232
order12222244224442224444444444444442244444444444888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-1-1-111-1-1-1-11111-11111-1-1-1-1-1-11111-1-1
χ411111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-111
χ511111111111111-1-111111-1-1-1-1-1-1-1-11111-111-1-1111111-1-1-1-1-1-1
χ611111111111111-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1111111
χ711111111111111-1-11-1-1-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111-1-11-1-1-1-111-1-1111111-1-11-1-1-1-1-1-111111111-1-1
χ9111111-1-111-1-1-1-111-111-1-111-1-111-1-1111-1-11-11-11-111-1-111-1-11-1
χ10111111-1-111-1-1-1-111-111-1-111-1-111-1-111-11-1-111-11-1-1-111-1-111-11
χ11111111-1-111-1-1-1-111-1-1-111-1-1-1-1-1-111111-111-11-1-11-1-11111-1-1-11
χ12111111-1-111-1-1-1-111-1-1-111-1-1-1-1-1-11111-111-111-1-1111-1-1-1-1111-1
χ13111111-1-111-1-1-1-1-1-1-111-1-1-1-111-1-111111-111-1-111-111-1-1-1-111-11
χ14111111-1-111-1-1-1-1-1-1-111-1-1-1-111-1-11111-111-11-111-1-1-11111-1-11-1
χ15111111-1-111-1-1-1-1-1-1-1-1-111111111-1-1111-1-11-1-11-11-1-111-1-1111-1
χ16111111-1-111-1-1-1-1-1-1-1-1-111111111-1-111-11-1-11-11-1111-1-111-1-1-11
χ1722222222222-2-2-2002222200000000-2-20000000-2-20000000000
χ1822222222222-2-2-2002-2-2-2-200000000-2-20000000220000000000
χ1922222222-2-2222-222-20000002200002-200000-2-2000000000000
χ2022222222-2-2222-2-2-2-2000000-2-200002-20000022000000000000
χ2122222222-2-22-2-2200-200002200-2-2-2-2-220020000000000000000
χ2222222222-2-22-2-2200-20000-2-2002222-2200-20000000000000000
χ23222222-2-222-222200-222-2-200000000-2-20000000-220000000000
χ24222222-2-222-222200-2-2-22200000000-2-200000002-20000000000
χ25222222-2-2-2-2-222-200200002200-2-222-2200-20000000000000000
χ26222222-2-2-2-2-222-20020000-2-20022-2-2-220020000000000000000
χ27222222-2-2-2-2-2-2-22222000000-2-200002-200000-22000000000000
χ28222222-2-2-2-2-2-2-22-2-220000002200002-2000002-2000000000000
χ294444-4-44400-4000000000000000000002-20-2200000000000000
χ304444-4-44400-400000000000000000000-2202-200000000000000
χ314444-4-4-4-400400000000000000000000220-2-200000000000000
χ324444-4-4-4-400400000000000000000000-2-202200000000000000
χ3344-4-4004i−4i0000002-202-22i−2i002i−2i2-22i−2i000000000000000000000
χ3444-4-4004i−4i0000002-20-22−2i2i002i−2i-22−2i2i000000000000000000000
χ3544-4-4004i−4i000000-2202-22i−2i00−2i2i-22−2i2i000000000000000000000
χ3644-4-4004i−4i000000-220-22−2i2i00−2i2i2-22i−2i000000000000000000000
χ3744-4-400−4i4i0000002-202-2−2i2i00−2i2i2-2−2i2i000000000000000000000
χ3844-4-400−4i4i0000002-20-222i−2i00−2i2i-222i−2i000000000000000000000
χ3944-4-400−4i4i000000-2202-2−2i2i002i−2i-222i−2i000000000000000000000
χ4044-4-400−4i4i000000-220-222i−2i002i−2i2-2−2i2i000000000000000000000
χ414-4-444-4000004-40000000000000000000000000002i−2i2i−2i000000
χ424-4-444-4000004-4000000000000000000000000000−2i2i−2i2i000000
χ434-4-444-400000-440000000000000000000000000002i−2i−2i2i000000
χ444-4-444-400000-44000000000000000000000000000−2i2i2i−2i000000
χ454-4-44-44004-400000000000000000000000000000000000022−2200
χ464-4-44-44004-4000000000000000000000000000000000000−222200
χ474-4-44-4400-44000000000000000000000000000000000022−220000
χ484-4-44-4400-440000000000000000000000000000000000−22220000
χ498-88-8000000000000000004i−4i000000000000000000000000000
χ508-88-800000000000000000−4i4i000000000000000000000000000

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