Finite Group Databasebeta

← Group #180757

Character table — Group #180757

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111111144444488881616161616161616161616161616161616161616161616163232
order12222222444444244422244444444488888888888824
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-11-1-1-1-1111-1-1-11111-1-1-1-11111-1-1
χ6111111111111111111-11-1-1-1-1111-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-11-1-1-1-1-1-1111-1-1-1-111111111-1-1
χ911111111111111-1-1-1-11111-1-11-1-11-1-111-1-111-1-111-1-11-1
χ1011111111111111-1-1-1-11111-1-11-1-11-1-1-1-111-1-111-1-111-11
χ1111111111111111-1-1-1-11-1-11-1-1-111-11111-1-111-1-1-1-111-11
χ1211111111111111-1-1-1-11-1-11-1-1-111-111-1-111-1-11111-1-11-1
χ1311111111111111-1-1-1-1-11-1-1111-1-1-11111-1-1-1-11111-1-1-11
χ1411111111111111-1-1-1-1-11-1-1111-1-1-111-1-11111-1-1-1-1111-1
χ1511111111111111-1-1-1-1-1-11-111-1111-1-111-1-1-1-111-1-1111-1
χ1611111111111111-1-1-1-1-1-11-111-1111-1-1-1-11111-1-111-1-1-11
χ17222222222-2-22-2-222-2-2002000000-22-200000000000000
χ18222222222-2-22-2-222-2-200-20000002-2200000000000000
χ19222222222-2-22-2-2-2-222002000000-2-2200000000000000
χ20222222222-2-22-2-2-2-22200-200000022-200000000000000
χ2122222222-22-2-22-22-22-2020000-22-200000000000000000
χ2222222222-22-2-22-22-22-20-200002-2200000000000000000
χ2322222222-22-2-22-2-22-22020000-2-2200000000000000000
χ2422222222-22-2-22-2-22-220-2000022-200000000000000000
χ2522222222-2-22-2-222-2-22200-22-200000000000000000000
χ2622222222-2-22-2-222-2-22-2002-2200000000000000000000
χ2722222222-2-22-2-22-222-2200-2-2200000000000000000000
χ2822222222-2-22-2-22-222-2-20022-200000000000000000000
χ294444-4-4-4-400400-40000000000000000002i2−2i20000000000
χ304444-4-4-4-400400-4000000000000000000−2i22i20000000000
χ314444-4-4-4-400-4004000000000000000022−22000000000000
χ324444-4-4-4-400-40040000000000000000−2222000000000000
χ3344-4-444-4-40400-40000000000000000000000000002i2−2i200
χ3444-4-444-4-40400-4000000000000000000000000000−2i22i200
χ3544-4-444-4-40-4004000000000000000000000000022−220000
χ3644-4-444-4-40-40040000000000000000000000000−22220000
χ374-44-44-44-4400-40000000000000000000000002i2−2i2000000
χ384-44-44-44-4400-4000000000000000000000000−2i22i2000000
χ394-44-44-44-4-4004000000000000000000000022−2200000000
χ404-44-44-44-4-40040000000000000000000000−222200000000
χ4188-8-8-8-888000000000000000000000000000000000000
χ428-88-8-88-88000000000000000000000000000000000000
χ438-8-888-8-88000000000000000000000000000000000000
χ448-8-88-888-8000000000000000000000000000000000000

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