Finite Group Databasebeta

← Group #3392

Character table — Group #3392

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35
size11112222222222224444444444444888888
order12224444444488884444444888888222444
χ111111111111111111111111111111111111
χ21111111111111111111-1-1-1-1111111-1-1-1-1-1-1
χ3111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1
χ4111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1111
χ5111111-1-1-1-11111111-1-1111111-1-1-1-11-1-11-1-1
χ6111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-111-111
χ7111111-1-1-1-111-1-1-1-11-1-111-1-1-1-111111-1-1-111
χ8111111-1-1-1-111-1-1-1-11-1-1-1-111-1-11111-1111-1-1
χ91111-1-111-1-1111111-11-11111-1-111-1-1-11-1-11-1
χ101111-1-111-1-1111111-11-1-1-1-1-1-1-111-1-11-111-11
χ111111-1-111-1-111-1-1-1-1-11-111-1-111-1-111-11-11-11
χ121111-1-111-1-111-1-1-1-1-11-1-1-11111-1-1111-11-11-1
χ131111-1-1-1-111111111-1-111111-1-1-1-111-1-11-1-11
χ141111-1-1-1-111111111-1-11-1-1-1-1-1-1-1-11111-111-1
χ151111-1-1-1-11111-1-1-1-1-1-1111-1-11111-1-1-1-1111-1
χ161111-1-1-1-11111-1-1-1-1-1-11-1-1111111-1-111-1-1-11
χ172222222222-2-20000-2-2-20000000000000000
χ18222222-2-2-2-2-2-20000-2220000000000000000
χ192222-2-222-2-2-2-200002-220000000000000000
χ202222-2-2-2-222-2-2000022-20000000000000000
χ2122-2-22-22-22-200i2i2−i2−i20000000i2−i2i2−i2i2−i2000000
χ2222-2-22-22-22-200−i2−i2i2i20000000−i2i2−i2i2−i2i2000000
χ2322-2-22-2-22-2200i2i2−i2−i20000000i2−i2−i2i2−i2i2000000
χ2422-2-22-2-22-2200−i2−i2i2i20000000−i2i2i2−i2i2−i2000000
χ2522-2-2-222-2-2200i2i2−i2−i20000000−i2i2i2−i2−i2i2000000
χ2622-2-2-222-2-2200−i2−i2i2i20000000i2−i2−i2i2i2−i2000000
χ2722-2-2-22-222-200i2i2−i2−i20000000−i2i2−i2i2i2−i2000000
χ2822-2-2-22-222-200−i2−i2i2i20000000i2−i2i2−i2−i2i2000000
χ292-2-220000002-22-22-20002i−2i2i−2i000000000000
χ302-2-220000002-22-22-2000−2i2i−2i2i000000000000
χ312-2-220000002-2-22-220002i−2i−2i2i000000000000
χ322-2-220000002-2-22-22000−2i2i2i−2i000000000000
χ334-44-4000000002i2−2i2−2i22i20000000000000000000
χ344-44-400000000−2i22i22i2−2i20000000000000000000
χ354-4-44000000-4400000000000000000000000

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