Finite Group Databasebeta

← Group #19121

Character table — Group #19121

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11112222222244444444444888816161111222222224444444444488881616
order1222444488884444488888888882422224444888844444888888888824
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
χ1522-2-20-2202i2i−2i−2i00000000000i2−i22−20022-2-20-2202i2i−2i−2i00000000000i2−i22−200
χ1622-2-20-2202i2i−2i−2i00000000000−i2i2−220022-2-20-2202i2i−2i−2i00000000000−i2i2−2200
χ1722-2-20-220−2i−2i2i2i00000000000i2−i2−220022-2-20-220−2i−2i2i2i00000000000i2−i2−2200
χ1822-2-20-220−2i−2i2i2i00000000000−i2i22−20022-2-20-220−2i−2i2i2i00000000000−i2i22−200
χ192-2-22200-22−22−202i−2i002−2i2−i2i2−i20000002-2-22200-22−22−202i−2i002−2i2−i2i2−i2000000
χ202-2-22200-22−22−20−2i2i002−2−i2i2−i2i20000002-2-22200-22−22−20−2i2i002−2−i2i2−i2i2000000
χ212-2-22200-2−22−2202i−2i00−22−i2i2−i2i20000002-2-22200-2−22−2202i−2i00−22−i2i2−i2i2000000
χ222-2-22200-2−22−220−2i2i00−22i2−i2i2−i20000002-2-22200-2−22−220−2i2i00−22i2−i2i2−i2000000
χ232-2-22-20022−22−20002-2−222−2−220000002-2-22-20022−22−20002-2−222−2−22000000
χ242-2-22-20022−22−2000-22−22−222−20000002-2-22-20022−22−2000-22−22−222−2000000
χ252-2-22-2002−22−220002-22−2−222−20000002-2-22-2002−22−220002-22−2−222−2000000
χ262-2-22-2002−22−22000-222−22−2−220000002-2-22-2002−22−22000-222−22−2−22000000
χ2744-4-404-4000000000000000000000044-4-404-40000000000000000000000
χ284-44-400002i2−2i2−2i22i2000000000000000004-44-400002i2−2i2−2i22i200000000000000000
χ294-44-40000−2i22i22i2−2i2000000000000000004-44-40000−2i22i22i2−2i200000000000000000
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
χ4422-2-20-2202i2i−2i−2i00000000000i2−i22−200-2-22202-20−2i−2i2i2i00000000000−i2i2−2200
χ4522-2-20-2202i2i−2i−2i00000000000−i2i2−2200-2-22202-20−2i−2i2i2i00000000000i2−i22−200
χ4622-2-20-220−2i−2i2i2i00000000000i2−i2−2200-2-22202-202i2i−2i−2i00000000000−i2i22−200
χ4722-2-20-220−2i−2i2i2i00000000000−i2i22−200-2-22202-202i2i−2i−2i00000000000i2−i2−2200
χ482-2-22200-22−22−202i−2i002−2i2−i2i2−i2000000-222-2-2002−22−220−2i2i00−22−i2i2−i2i2000000
χ492-2-22200-22−22−20−2i2i002−2−i2i2−i2i2000000-222-2-2002−22−2202i−2i00−22i2−i2i2−i2000000
χ502-2-22200-2−22−2202i−2i00−22−i2i2−i2i2000000-222-2-20022−22−20−2i2i002−2i2−i2i2−i2000000
χ512-2-22200-2−22−220−2i2i00−22i2−i2i2−i2000000-222-2-20022−22−202i−2i002−2−i2i2−i2i2000000
χ522-2-22-20022−22−20002-2−222−2−22000000-222-2200-2−22−22000-222−2−222−2000000
χ532-2-22-20022−22−2000-22−22−222−2000000-222-2200-2−22−220002-22−22−2−22000000
χ542-2-22-2002−22−220002-22−2−222−2000000-222-2200-22−22−2000-22−222−2−22000000
χ552-2-22-2002−22−22000-222−22−2−22000000-222-2200-22−22−20002-2−22−222−2000000
χ5644-4-404-40000000000000000000000-4-4440-440000000000000000000000
χ574-44-400002i2−2i2−2i22i200000000000000000-44-440000−2i22i22i2−2i200000000000000000
χ584-44-40000−2i22i22i2−2i200000000000000000-44-4400002i2−2i2−2i22i200000000000000000

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