Finite Group Databasebeta

← Group #180672

Character table — Group #180672

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111111144444488881616161616161616161616161616161616161616161616163232
order12222222444444444422444444444488888888888844
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1
χ411111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-11-11-11-1-1-11-11111-1-1-1-11111-1-1
χ6111111111111111111-1-11-11-11-1-1-11-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-1-11-11-11-1-1-111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-11-11-11-1-1-11-1-1-1-111111111-1-1
χ911111111111111-1-1-1-11-111-111-11-1-1-111-1-111-1-111-1-11-1
χ1011111111111111-1-1-1-11-111-111-11-1-1-1-1-111-1-111-1-111-11
χ1111111111111111-1-1-1-11-1-1-11-1-111-11111-1-111-1-1-1-111-11
χ1211111111111111-1-1-1-11-1-1-11-1-111-111-1-111-1-11111-1-11-1
χ1311111111111111-1-1-1-1-111-1-1-111-11-1111-1-1-1-11111-1-1-11
χ1411111111111111-1-1-1-1-111-1-1-111-11-11-1-11111-1-1-1-1111-1
χ1511111111111111-1-1-1-1-11-1111-1-1-111-111-1-1-1-111-1-1111-1
χ1611111111111111-1-1-1-1-11-1111-1-1-111-1-1-11111-1-111-1-1-11
χ17222222222-2-2-22-222-2-20020-20-20002000000000000000
χ18222222222-2-2-22-222-2-200-20202000-2000000000000000
χ19222222222-2-2-22-2-2-222002020-2000-2000000000000000
χ20222222222-2-2-22-2-2-22200-20-2020002000000000000000
χ2122222222-22-2-2-222-22-22-2000000-220000000000000000
χ2222222222-22-2-2-222-22-2-220000002-20000000000000000
χ2322222222-22-2-2-22-22-2222000000-2-20000000000000000
χ2422222222-22-2-2-22-22-22-2-2000000220000000000000000
χ2522222222-2-222-2-22-2-2200020-20-2000200000000000000
χ2622222222-2-222-2-22-2-22000-20202000-200000000000000
χ2722222222-2-222-2-2-222-200020-202000-200000000000000
χ2822222222-2-222-2-2-222-2000-2020-2000200000000000000
χ29444-4-44-4-404000-4000000000000000000000022−22000000
χ30444-4-44-4-404000-40000000000000000000000−2222000000
χ31444-4-44-4-40-40004000000000000000000002i2−2i200000000
χ32444-4-44-4-40-4000400000000000000000000−2i22i200000000
χ3344-4-44-4-44004-4000000000000000000000000002i2−2i20000
χ3444-4-44-4-44004-400000000000000000000000000−2i22i20000
χ3544-4-44-4-4400-4400000000000000000000000000002i2−2i200
χ3644-4-44-4-4400-440000000000000000000000000000−2i22i200
χ374-44-4-4-4444000-4000000000000000002i2−2i2000000000000
χ384-44-4-4-4444000-400000000000000000−2i22i2000000000000
χ394-44-4-4-444-40004000000000000000000022−220000000000
χ404-44-4-4-444-400040000000000000000000−22220000000000
χ4188-88-8-88-8000000000000000000000000000000000000
χ428-8888-8-8-8000000000000000000000000000000000000
χ438-8-88-88-88000000000000000000000000000000000000
χ448-8-8-8888-8000000000000000000000000000000000000

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