Finite Group Databasebeta

← Group #333207

Character table — Group #333207

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size111122222244448888888816161616161616161616161616161616161632323232
order12224444442444888888882244444488888888882288
χ111111111111111111111111111111111111111111111
χ211111111111111111111111-111-11-1-1-1-111-1-11111-1-1-1-1
χ3111111111111111111-1-1-1-111-11-1-11-11-1111-1-1-1-1-11-11-1
χ4111111111111111111-1-1-1-11-1-111-1-11-1111-11-1-1-1-1-11-11
χ51111111111111111-1-11111-11-1-1-1-11-1111-11111-1-1-1-1-11
χ61111111111111111-1-11111-1-1-1-11-1-11-1-11-1-1-111-1-1111-1
χ71111111111111111-1-1-1-1-1-1-111-111111-11-11-1-1-111-11-1-1
χ81111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-111-1-11-1-1111-111
χ911111111111111-1-1111111-11-1-1-1-11-1-1-1-11-1-1-1-11111-11
χ1011111111111111-1-1111111-1-1-1-11-1-1111-1111-1-111-1-11-1
χ1111111111111111-1-111-1-1-1-1-111-11111-11-11-1111-1-11-1-1-1
χ1211111111111111-1-111-1-1-1-1-1-11-1-11-1-11-1-111-111-1-1-1111
χ1311111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ1411111111111111-1-1-1-111111-111-11-1-111-1-111-1-1-1-111-1-1
χ1511111111111111-1-1-1-1-1-1-1-111-11-1-11-1-11-1-1-111111-111-1
χ1611111111111111-1-1-1-1-1-1-1-11-1-111-1-111-1-1-11-111111-1-11
χ17222222-2-222-2-22-2000022-2-2202-20-20000000000000000
χ18222222-2-222-2-22-2000022-2-2-20-22020000000000000000
χ19222222-2-222-2-22-20000-2-22220-2-2020000000000000000
χ20222222-2-222-2-22-20000-2-222-20220-20000000000000000
χ2122222-2222-2-2-2-2222000000020000-20-20-202000000000
χ2222222-2222-2-2-2-22220000000-200002020-20-2000000000
χ2322222-2222-2-2-2-22-2-2000000020000-202020-2000000000
χ2422222-2222-2-2-2-22-2-20000000-2000020-20202000000000
χ252222-2222-22-22-2-2002200000000200-2020-20-200000000
χ262222-2222-22-22-2-2002200000000-20020-20-20200000000
χ272222-2222-22-22-2-200-2-200000000200-20-2020200000000
χ282222-2222-22-22-2-200-2-200000000-200202020-200000000
χ2944444-4-4-44-444-4-4000000000000000000000000000000
χ304444-44-4-4-444-4-44000000000000000000000000000000
χ314444-4-444-4-44-44-4000000000000000000000000000000
χ324444-4-4-4-4-4-4-4444000000000000000000000000000000
χ3344-4-44000-4000002i2−2i20022−2200000000000000002i−2i000000
χ3444-4-44000-4000002i2−2i200−22220000000000000000−2i2i000000
χ3544-4-44000-400000−2i22i20022−220000000000000000−2i2i000000
χ3644-4-44000-400000−2i22i200−222200000000000000002i−2i000000
χ374-4-440-4000400000022−220022−2200000000000000002-20000
χ384-4-440-4000400000022−2200−22220000000000000000-220000
χ394-4-440-40004000000−22220022−220000000000000000-220000
χ404-4-440-40004000000−222200−222200000000000000002-20000
χ4188-8-8-8000800000000000000000000000000000000000
χ428-88-8008-8000000000000000000000000000000000000
χ438-88-800-88000000000000000000000000000000000000
χ448-8-8808000-80000000000000000000000000000000000

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