Finite Group Databasebeta

← Group #329107

Character table — Group #329107

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111111112222222244448888888888816161616161616161616161616161616161616163232
order12222222444444444444444888888882224444444448888888844
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111
χ31111111111111111111111111111111-1-111-111-1-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-11-1-111-1-11-1-1-1-11111-1-1
χ511111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-111111111-1-1
χ711111111111111111111111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1111111
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111111-1-1-1-111
χ911111111111111111-1-11-1-1-11111-1-1-1-1111-1-11-11-1-1-1111-1-111-1-11-1
χ1011111111111111111-1-11-1-1-11111-1-1-1-111-111-11-11-1-1-1-1-111-1-1111-1
χ1111111111111111111-1-11-1-1-11111-1-1-1-1-1-11-111-1-1111-111-1-1-1-111-11
χ1211111111111111111-1-11-1-1-11111-1-1-1-1-1-1-11-1-111-1111-1-11111-1-1-11
χ1311111111111111111-1-11-1-1-1-1-1-1-11111111-1-11-11-1-1-11-1-111-1-111-11
χ1411111111111111111-1-11-1-1-1-1-1-1-1111111-111-11-11-1-1-111-1-111-1-1-11
χ1511111111111111111-1-11-1-1-1-1-1-1-11111-1-11-111-1-1111-1-1-11111-1-11-1
χ1611111111111111111-1-11-1-1-1-1-1-1-11111-1-1-11-1-111-111111-1-1-1-1111-1
χ172222222222-2-222-2-2-222-2-2-220000000000220-2-2000000000000000
χ182222222222-2-222-2-2-222-2-2-220000000000-2-2022000000000000000
χ192222222222-2-222-2-2-2-2-2-222-200000000002-20-22000000000000000
χ202222222222-2-222-2-2-2-2-2-222-20000000000-2202-2000000000000000
χ2122222222-2-222-2-222-222-22-2-2000000000000200-2-20020000000000
χ2222222222-2-222-2-222-222-22-2-2000000000000-2002200-20000000000
χ2322222222-2-222-2-222-2-2-2-2-2220000000000002002-200-20000000000
χ2422222222-2-222-2-222-2-2-2-2-222000000000000-200-220020000000000
χ2522222222-2-2-2-2-2-2-2-22222-22-2000000002-200000002-200000000000
χ2622222222-2-2-2-2-2-2-2-22222-22-200000000-220000000-2200000000000
χ2722222222-2-2-2-2-2-2-2-22-2-222-22000000002-20000000-2200000000000
χ2822222222-2-2-2-2-2-2-2-22-2-222-2200000000-2200000002-200000000000
χ294444-4-4-4-44-4004-4000000000000000000000000000000022−22000000
χ304444-4-4-4-44-4004-40000000000000000000000000000000−2222000000
χ314444-4-4-4-4-4400-440000000000000000000000000000022−2200000000
χ324444-4-4-4-4-4400-4400000000000000000000000000000−222200000000
χ3344-4-444-4-44444-4-4-4-4-4004000000000000000000000000000000000
χ3444-4-444-4-444-4-4-4-444400-4000000000000000000000000000000000
χ3544-4-444-4-4-4-44444-4-4400-4000000000000000000000000000000000
χ3644-4-444-4-4-4-4-4-44444-4004000000000000000000000000000000000
χ3744-4-4-4-4444-400-440000000002222−22−2200000000000000000000000000
χ3844-4-4-4-4444-400-44000000000−22−22222200000000000000000000000000
χ3944-4-4-4-444-44004-400000000000002222−22−220000000000000000000000
χ4044-4-4-4-444-44004-40000000000000−22−2222220000000000000000000000
χ414-44-4-44-44004-4004-40000000000022−2222−220000000000000000000000
χ424-44-4-44-44004-4004-400000000000−2222−22220000000000000000000000
χ434-44-4-44-4400-4400-44000000022−2222−2200000000000000000000000000
χ444-44-4-44-4400-4400-440000000−2222−222200000000000000000000000000
χ454-4-444-4-440000000004-400002-2-222-2-220000000000000000000000
χ464-4-444-4-440000000004-40000-222-2-222-20000000000000000000000
χ474-4-444-4-44000000000-4400002-2-22-222-20000000000000000000000
χ484-4-444-4-44000000000-440000-222-22-2-220000000000000000000000
χ494-4-44-444-4004-400-440000000000000000000000000000000002i2−2i200
χ504-4-44-444-4004-400-44000000000000000000000000000000000−2i22i200
χ514-4-44-444-400-44004-400000000000000000000000000000002i2−2i20000
χ524-4-44-444-400-44004-40000000000000000000000000000000−2i22i20000
χ538-88-88-88-8000000000000000000000000000000000000000000000

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