Finite Group Databasebeta

← Group #180761

Character table — Group #180761

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111111144444488881616161616161616161616161616161616161616161616163232
order12222222444444244422444444444488888888888824
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-11-111-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-11-11-1-111-1-1-1-11111-1-1-1-11111-1-1
χ6111111111111111111-11-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ911111111111111-1-1-1-1111-1-1-11-111-1-111-1-111-1-111-1-11-1
χ1011111111111111-1-1-1-1111-1-1-11-111-1-1-1-111-1-111-1-111-11
χ1111111111111111-1-1-1-11-111-1-1-11-1-11111-1-111-1-1-1-111-11
χ1211111111111111-1-1-1-11-111-1-1-11-1-111-1-111-1-11111-1-11-1
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
χ1511111111111111-1-1-1-1-1-1-1111-1111-1-111-1-1-1-111-1-1111-1
χ1611111111111111-1-1-1-1-1-1-1111-1111-1-1-1-11111-1-111-1-1-11
χ17222222222-2-22-2-222-2-2020-200-22000000000000000000
χ18222222222-2-22-2-222-2-20-202002-2000000000000000000
χ19222222222-2-22-2-2-2-222020200-2-2000000000000000000
χ20222222222-2-22-2-2-2-2220-20-20022000000000000000000
χ2122222222-22-2-22-22-22-2000000002-22-200000000000000
χ2222222222-22-2-22-22-22-200000000-22-2200000000000000
χ2322222222-22-2-22-2-22-22000000002-2-2200000000000000
χ2422222222-22-2-22-2-22-2200000000-222-200000000000000
χ2522222222-2-22-2-222-2-2220-202-200000000000000000000
χ2622222222-2-22-2-222-2-22-2020-2200000000000000000000
χ2722222222-2-22-2-22-222-220-20-2200000000000000000000
χ2822222222-2-22-2-22-222-2-20202-200000000000000000000
χ294444-4-4-4-4400-40000000000000000000000000022−220000
χ304444-4-4-4-4400-400000000000000000000000000−22220000
χ314444-4-4-4-4-400400000000000000000000000000002i2−2i200
χ324444-4-4-4-4-40040000000000000000000000000000−2i22i200
χ3344-4-444-4-400400-400000000000000002i2−2i2000000000000
χ3444-4-444-4-400400-40000000000000000−2i22i2000000000000
χ3544-4-444-4-400-400400000000000000000022−220000000000
χ3644-4-444-4-400-4004000000000000000000−22220000000000
χ374-44-44-44-40400-4000000000000000000000002i2−2i2000000
χ384-44-44-44-40400-400000000000000000000000−2i22i2000000
χ394-44-44-44-40-400400000000000000000000022−2200000000
χ404-44-44-44-40-4004000000000000000000000−222200000000
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).