Finite Group Databasebeta

← Group #180754

Character table — Group #180754

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111111144444488881616161616161616161616161616161616161616161616163232
order12222222444444444422444444444488888888888844
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-111-1-1-1-1-11-1-111111111-1-1-1-1-1-1
χ41111111111111111111-111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-11-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ6111111111111111111-11-1-1111-1-1-1-1-1-1-1-1-111111111-1-1
χ7111111111111111111-1-1-1-1-1-1-111-1111111-1-1-1-11111-1-1
χ8111111111111111111-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-111
χ911111111111111-1-1-1-111-11-11-11-1-11-111-1-111-1-111-1-11-1
χ1011111111111111-1-1-1-111-11-11-11-1-11-1-1-111-1-111-1-111-11
χ1111111111111111-1-1-1-11-1-111-11-11-1-1111-1-111-1-1-1-111-11
χ1211111111111111-1-1-1-11-1-111-11-11-1-11-1-111-1-11111-1-11-1
χ1311111111111111-1-1-1-1-111-1-11-1-111-1111-1-1-1-111-1-1111-1
χ1411111111111111-1-1-1-1-111-1-11-1-111-11-1-11111-1-111-1-1-11
χ1511111111111111-1-1-1-1-1-11-11-111-111-111-1-1-1-11111-1-1-11
χ1611111111111111-1-1-1-1-1-11-11-111-111-1-1-11111-1-1-1-1111-1
χ17222222222-2-2-22-22-22-220-2-20000020000000000000000
χ18222222222-2-2-22-22-22-2-202200000-20000000000000000
χ19222222222-2-2-22-2-22-22202-200000-20000000000000000
χ20222222222-2-2-22-2-22-22-20-220000020000000000000000
χ2122222222-22-2-2-222-2-220000000220-2-200000000000000
χ2222222222-22-2-2-222-2-220000000-2-202200000000000000
χ2322222222-22-2-2-22-222-200000002-20-2200000000000000
χ2422222222-22-2-2-22-222-20000000-2202-200000000000000
χ2522222222-2-222-2-222-2-20200-2-220000000000000000000
χ2622222222-2-222-2-222-2-20-20022-20000000000000000000
χ2722222222-2-222-2-2-2-22202002-2-20000000000000000000
χ2822222222-2-222-2-2-2-2220-200-2220000000000000000000
χ29444-44-4-4-4004-4000000000000000000000022−2200000000
χ30444-44-4-4-4004-40000000000000000000000−222200000000
χ31444-44-4-4-400-4400000000000000000000000022−22000000
χ32444-44-4-4-400-44000000000000000000000000−2222000000
χ3344-44-44-4-44000-40000000000000000022−22000000000000
χ3444-44-44-4-44000-400000000000000000−2222000000000000
χ3544-44-44-4-4-4000400000000000000000002i2−2i20000000000
χ3644-44-44-4-4-400040000000000000000000−2i22i20000000000
χ374-4-4-4444-404000-4000000000000000000000000002i2−2i200
χ384-4-4-4444-404000-400000000000000000000000000−2i22i200
χ394-4-4-4444-40-4000400000000000000000000000022−220000
χ404-4-4-4444-40-40004000000000000000000000000−22220000
χ4188-8-8-8-888000000000000000000000000000000000000
χ428-888-8-88-8000000000000000000000000000000000000
χ438-88-8-88-88000000000000000000000000000000000000
χ448-8-888-8-88000000000000000000000000000000000000

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