Finite Group Databasebeta

← Group #330301

Character table — Group #330301

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111122222222448888888888881616161616161616161616161616161632323232
order12222222444444444444448888888844448888888888882224
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ9111111111111111111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11-11-1
χ10111111111111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-11111-1-1-11-11
χ11111111111111111111-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-111-11-11
χ12111111111111111111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-1111-11-1
χ13111111111111111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-1111-1-11
χ14111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-111-1
χ15111111111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-111-1
χ16111111111111111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-11-1-11
χ172222222222-2-2-2-222-2-222-2-22222-2-2-2-200000000000000000000
χ182222222222-2-2-2-222-2-222-2-2-2-2-2-2222200000000000000000000
χ192222222222-2-2-2-222-2-2-2-22222-2-2-2-22200000000000000000000
χ202222222222-2-2-2-222-2-2-2-222-2-22222-2-200000000000000000000
χ2122222222-2-22222-2-2-2-22-22-2000000002-22-20000000000000000
χ2222222222-2-22222-2-2-2-22-22-200000000-22-220000000000000000
χ2322222222-2-22222-2-2-2-2-22-22000000002-2-220000000000000000
χ2422222222-2-22222-2-2-2-2-22-2200000000-222-20000000000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-22000000000000000000002i−2i2i−2i0000
χ2622222222-2-2-2-2-2-2-2-2222-2-2200000000000000000000−2i2i−2i2i0000
χ2722222222-2-2-2-2-2-2-2-222-222-2000000000000000000002i−2i−2i2i0000
χ2822222222-2-2-2-2-2-2-2-222-222-200000000000000000000−2i2i2i−2i0000
χ294444-4-4-4-44-400004-40000000000000000002i2−2i200000000000000
χ304444-4-4-4-44-400004-4000000000000000000−2i22i200000000000000
χ314444-4-4-4-4-440000-44000000000000000000002i2−2i2000000000000
χ324444-4-4-4-4-440000-4400000000000000000000−2i22i2000000000000
χ3344-4-444-4-4440000-4-40000000000000000000000002i2−2i200000000
χ3444-4-444-4-4440000-4-4000000000000000000000000−2i22i200000000
χ3544-4-444-4-4-4-4000044000000000000000000000022−220000000000
χ3644-4-444-4-4-4-40000440000000000000000000000−22220000000000
χ3744-4-4-4-4444-444-4-4-444-400000000000000000000000000000000
χ3844-4-4-4-4444-4-4-444-44-4400000000000000000000000000000000
χ3944-4-4-4-444-4444-4-44-4-4400000000000000000000000000000000
χ4044-4-4-4-444-44-4-4444-44-400000000000000000000000000000000
χ414-44-44-4-44004-44-4000000000022−220022−2200000000000000000000
χ424-44-44-4-44004-44-40000000000−222200−222200000000000000000000
χ434-44-44-4-4400-44-44000000000022−2200−222200000000000000000000
χ444-44-44-4-4400-44-440000000000−22220022−2200000000000000000000
χ454-4-44-44-44004-4-440000000022−220022−220000000000000000000000
χ464-4-44-44-44004-4-4400000000−222200−22220000000000000000000000
χ474-4-44-44-4400-444-40000000022−2200−22220000000000000000000000
χ484-4-44-44-4400-444-400000000−22220022−220000000000000000000000
χ498-88-8-888-8000000000000000000000000000000000000000000
χ508-8-888-88-8000000000000000000000000000000000000000000

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