Finite Group Databasebeta

← Group #142802

Character table — Group #142802

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size111122222244448888888816161616161616161616161616161616161632323232
order12222244442244444488882244888888888888882444
χ111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ41111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-11-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1
χ922222222222222-2-2-2-222220000-2-20000000000000000
χ1022222222222222-2-2-2-2-2-2-2-20000220000000000000000
χ112222222222-2-2-2-22-22-2000000000000000000000020-20
χ122222222222-2-2-2-22-22-20000000000000000000000-2020
χ132222222222-2-2-2-2-22-220000000000000000000000020-2
χ142222222222-2-2-2-2-22-2200000000000000000000000-202
χ15222222-2-2-2-222-2-222-2-200000000002i2i−2i−2i000000000000
χ16222222-2-2-2-222-2-222-2-20000000000−2i−2i2i2i000000000000
χ17222222-2-2-2-222-2-2-2-22200002-22-2000000000000000000
χ18222222-2-2-2-222-2-2-2-2220000-22-22000000000000000000
χ19222222-2-2-2-2-2-2222-2-2200000000000000000022-2-20000
χ20222222-2-2-2-2-2-2222-2-22000000000000000000-2-2220000
χ21222222-2-2-2-2-2-222-222-20000000000000022-2-200000000
χ22222222-2-2-2-2-2-222-222-200000000000000-2-22200000000
χ232-2-22-222-22-22-2-220000000000002-200002−22−22−22−20000
χ242-2-22-222-22-22-2-220000000000002-20000−22−22−22−220000
χ252-2-22-222-22-22-2-22000000000000-2200002−22−2−22−220000
χ262-2-22-222-22-22-2-22000000000000-220000−22−222−22−20000
χ272-2-22-22-22-22-22-22000022-2-200000000002−2−222−2−220000
χ282-2-22-22-22-22-22-22000022-2-20000000000−222−2−222−20000
χ292-2-22-22-22-22-22-220000-2-22200000000002−2−22−222−20000
χ302-2-22-22-22-22-22-220000-2-2220000000000−222−22−2−220000
χ314444-4-44-4-440000000000002-2-22000000000000000000
χ324444-4-44-4-44000000000000-222-2000000000000000000
χ334444-4-4-444-400000000000022-2-2000000000000000000
χ344444-4-4-444-4000000000000-2-222000000000000000000
χ354-4-444-444-4-40000000000000000002i−2i2i−2i000000000000
χ364-4-444-444-4-4000000000000000000−2i2i−2i2i000000000000
χ374-4-444-4-4-4440000000000000000002-2-22000000000000
χ384-4-444-4-4-444000000000000000000-222-2000000000000
χ394-4-44-444-44-4-444-4000000000000000000000000000000
χ404-4-44-44-44-444-44-4000000000000000000000000000000
χ4188-8-8000000000000002i2−2i22i2−2i20000000000000000000000
χ4288-8-800000000000000−2i22i2−2i22i20000000000000000000000
χ438-88-8000000000000002i2−2i2−2i22i20000000000000000000000
χ448-88-800000000000000−2i22i22i2−2i20000000000000000000000

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