Finite Group Databasebeta

← Group #150821

Character table — Group #150821

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size111122444488888888816161616161616161616161616161616161632323232
order12222244444444444442244448888888888888888
χ111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-1-111-1-1-111-1111-1-1-1-1iiii−i−i−i−iii−i−i
χ611111111111-1-1-111-1-1-111-1111-1-1-1-1−i−i−i−iiiii−i−iii
χ711111111111-1-1-111-1-1-1-1-1-11-1-11111iiii−i−i−i−i−i−iii
χ811111111111-1-1-111-1-1-1-1-1-11-1-11111−i−i−i−iiiiiii−i−i
χ9111111-1-111-111-1-1-1-1-1-11111-1-111-1-1ii−i−iii−i−ii−ii−i
χ10111111-1-111-111-1-1-1-1-1-11111-1-111-1-1−i−iii−i−iii−ii−ii
χ11111111-1-111-111-1-1-1-1-1-1-1-11111-1-111ii−i−iii−i−i−ii−ii
χ12111111-1-111-111-1-1-1-1-1-1-1-11111-1-111−i−iii−i−iiii−ii−i
χ13111111-1-111-1-1-11-1-111111-11-1-1-1-11111-1-1-1-1111-1-11
χ14111111-1-111-1-1-11-1-111111-11-1-1-1-111-1-11111-1-1-111-1
χ15111111-1-111-1-1-11-1-1111-1-1-111111-1-111-1-1-1-111-111-1
χ16111111-1-111-1-1-11-1-1111-1-1-111111-1-1-1-11111-1-11-1-11
χ172222222222222-2-2-222-200-2-2000000000000000000
χ1822222222222-2-22-2-2-2-22002-2000000000000000000
χ19222222-2-222-222222-2-2200-2-2000000000000000000
χ20222222-2-222-2-2-2-22222-2002-2000000000000000000
χ212-2-22-2200-2202-222-200-20000000000i2−i2i2−i2i2−i2i2−i20000
χ222-2-22-2200-2202-222-200-20000000000−i2i2−i2i2−i2i2−i2i20000
χ232-2-22-2200-2202-2-2-2200200000000002−2−222−2−220000
χ242-2-22-2200-2202-2-2-220020000000000−222−2−222−20000
χ252-2-22-2200-220-222-2200-20000000000i2−i2−i2i2−i2i2i2−i20000
χ262-2-22-2200-220-222-2200-20000000000−i2i2i2−i2i2−i2−i2i20000
χ272-2-22-2200-220-22-22-200200000000002−22−2−22−220000
χ282-2-22-2200-220-22-22-20020000000000−22−222−22−20000
χ2944444444-4-4-4000000000000000000000000000000
χ30444444-4-4-4-44000000000000000000000000000000
χ314-4-444-44i−4i000000000002-2002i−2i0000000000000000
χ324-4-444-44i−4i00000000000-2200−2i2i0000000000000000
χ334-4-444-4−4i4i000000000002-200−2i2i0000000000000000
χ344-4-444-4−4i4i00000000000-22002i−2i0000000000000000
χ354-4-44-44004-40000004i−4i00000000000000000000000
χ364-4-44-44004-4000000−4i4i00000000000000000000000
χ378888-8-800000000000000000000000000000000000
χ3888-8-8000000000000000000000002i2−2i2000000000000
χ3988-8-800000000000000000000000−2i22i2000000000000
χ408-88-80000000000000000000002i2−2i200000000000000
χ418-88-8000000000000000000000−2i22i200000000000000

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