Finite Group Databasebeta

← Group #19113

Character table — Group #19113

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11112222222244444444444888816161111222222224444444444488881616
order1222444488884444488888888884422224444888844444888888888844
χ11111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1
χ31111111111111-1-1-1-111-1-1-1-11111-1-11111111111111-1-1-1-111-1-1-1-11111-1-1
χ41111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-111
χ511111111-1-1-1-111111-1-1-1-1-1-111-1-11-111111111-1-1-1-111111-1-1-1-1-1-111-1-11-1
χ611111111-1-1-1-111111-1-1-1-1-1-1-1-111-1111111111-1-1-1-111111-1-1-1-1-1-1-1-111-11
χ711111111-1-1-1-11-1-1-1-1-1-1111111-1-1-1111111111-1-1-1-11-1-1-1-1-1-1111111-1-1-11
χ811111111-1-1-1-11-1-1-1-1-1-11111-1-1111-111111111-1-1-1-11-1-1-1-1-1-11111-1-1111-1
χ922222-2-220000-222-2-200000000000022222-2-220000-222-2-2000000000000
χ1022222-2-220000-2-2-22200000000000022222-2-220000-2-2-222000000000000
χ112222-222-22222-20000-2-200000000002222-222-22222-20000-2-20000000000
χ122222-222-2-2-2-2-2-200002200000000002222-222-2-2-2-2-2-20000220000000000
χ132222-2-2-2-2000020000002i2i−2i−2i0000002222-2-2-2-2000020000002i2i−2i−2i000000
χ142222-2-2-2-200002000000−2i−2i2i2i0000002222-2-2-2-200002000000−2i−2i2i2i000000
χ1522-2-2200-222−2−20002-22−22−22−200000022-2-2200-222−2−20002-22−22−22−2000000
χ1622-2-2200-222−2−2000-222−2−22−2200000022-2-2200-222−2−2000-222−2−22−22000000
χ1722-2-2200-2−2−2220002-2−22−22−2200000022-2-2200-2−2−2220002-2−22−22−22000000
χ1822-2-2200-2−2−222000-22−222−22−200000022-2-2200-2−2−222000-22−222−22−2000000
χ1922-2-2-200222−2−202i−2i00−22i2−i2−i2i200000022-2-2-200222−2−202i−2i00−22i2−i2−i2i2000000
χ2022-2-2-200222−2−20−2i2i00−22−i2i2i2−i200000022-2-2-200222−2−20−2i2i00−22−i2i2i2−i2000000
χ2122-2-2-2002−2−22202i−2i002−2−i2i2i2−i200000022-2-2-2002−2−22202i−2i002−2−i2i2i2−i2000000
χ2222-2-2-2002−2−2220−2i2i002−2i2−i2−i2i200000022-2-2-2002−2−2220−2i2i002−2i2−i2−i2i2000000
χ232-2-2202-202-22-200000000000i2−i2i2−i2002-2-2202-202-22-200000000000i2−i2i2−i200
χ242-2-2202-202-22-200000000000−i2i2−i2i2002-2-2202-202-22-200000000000−i2i2−i2i200
χ252-2-2202-20-22-2200000000000i2−i2−i2i2002-2-2202-20-22-2200000000000i2−i2−i2i200
χ262-2-2202-20-22-2200000000000−i2i2i2−i2002-2-2202-20-22-2200000000000−i2i2i2−i200
χ274-44-4000022−22−2222000000000000000004-44-4000022−22−222200000000000000000
χ284-44-40000−222222−22000000000000000004-44-40000−222222−2200000000000000000
χ294-4-440-4400000000000000000000004-4-440-440000000000000000000000
χ3011111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ321111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
χ331111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1
χ3411111111-1-1-1-111111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-111-11
χ3511111111-1-1-1-111111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-1-111111111-1-11-1
χ3611111111-1-1-1-11-1-1-1-1-1-1111111-1-1-11-1-1-1-1-1-1-1-11111-1111111-1-1-1-1-1-1111-1
χ3711111111-1-1-1-11-1-1-1-1-1-11111-1-1111-1-1-1-1-1-1-1-1-11111-1111111-1-1-1-111-1-1-11
χ3822222-2-220000-222-2-2000000000000-2-2-2-2-222-200002-2-222000000000000
χ3922222-2-220000-2-2-222000000000000-2-2-2-2-222-20000222-2-2000000000000
χ402222-222-22222-20000-2-20000000000-2-2-2-22-2-22-2-2-2-220000220000000000
χ412222-222-2-2-2-2-2-20000220000000000-2-2-2-22-2-22222220000-2-20000000000
χ422222-2-2-2-2000020000002i2i−2i−2i000000-2-2-2-222220000-2000000−2i−2i2i2i000000
χ432222-2-2-2-200002000000−2i−2i2i2i000000-2-2-2-222220000-20000002i2i−2i−2i000000
χ4422-2-2200-222−2−20002-22−22−22−2000000-2-222-2002−2−222000-22−22−22−22000000
χ4522-2-2200-222−2−2000-222−2−22−22000000-2-222-2002−2−2220002-2−222−22−2000000
χ4622-2-2200-2−2−2220002-2−22−22−22000000-2-222-200222−2−2000-222−22−22−2000000
χ4722-2-2200-2−2−222000-22−222−22−2000000-2-222-200222−2−20002-22−2−22−22000000
χ4822-2-2-200222−2−202i−2i00−22i2−i2−i2i2000000-2-222200-2−2−2220−2i2i002−2−i2i2i2−i2000000
χ4922-2-2-200222−2−20−2i2i00−22−i2i2i2−i2000000-2-222200-2−2−22202i−2i002−2i2−i2−i2i2000000
χ5022-2-2-2002−2−22202i−2i002−2−i2i2i2−i2000000-2-222200-222−2−20−2i2i00−22i2−i2−i2i2000000
χ5122-2-2-2002−2−2220−2i2i002−2i2−i2−i2i2000000-2-222200-222−2−202i−2i00−22−i2i2i2−i2000000
χ522-2-2202-202-22-200000000000i2−i2i2−i200-222-20-220-22-2200000000000−i2i2−i2i200
χ532-2-2202-202-22-200000000000−i2i2−i2i200-222-20-220-22-2200000000000i2−i2i2−i200
χ542-2-2202-20-22-2200000000000i2−i2−i2i200-222-20-2202-22-200000000000−i2i2i2−i200
χ552-2-2202-20-22-2200000000000−i2i2i2−i200-222-20-2202-22-200000000000i2−i2−i2i200
χ564-44-4000022−22−222200000000000000000-44-440000−222222−2200000000000000000
χ574-44-40000−222222−2200000000000000000-44-44000022−22−222200000000000000000
χ584-4-440-440000000000000000000000-444-404-40000000000000000000000

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