Finite Group Databasebeta

← Group #273421

Character table — Group #273421

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122224444444888888888888816161616161616161616161616161616161616161632
order12222244224444424444444488882444444444444888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111-11-1-1-11-1-1111-1-1-1-1-1-1-1111-1
χ31111111111111111111111-1-111-1-1111-1-1111-1-1-1-1-1111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-11-1111-1-1-1-1-111-1-1-111-1-1-11
χ5111111111111111-11-1-111-11111-1-11-1-111-11-1111-1-1-11-111-1-1-1-1
χ6111111111111111-11-1-111-111-1-1-1-1-1-11-1-1-1-11111111-11-1-1-1-1-11
χ7111111111111111-11-1-111-1-1-111111-1-1-1-1-11-1-1-1-111-11-1-1-11111
χ8111111111111111-11-1-111-1-1-1-1-111-1-1111-1-11-1-1-1-1-11-1111111-1
χ911111111111-1-1111-111-1-11111111-1-1-1-1-1-1-1-11-1-111111111-1-1-1
χ1011111111111-1-1111-111-1-1111-1-1111-1111-1111-1-1-1-1-1-1-1-1-11-1-11
χ1111111111111-1-1111-111-1-11-1-111-1-1-1-1-111-1-1-1-111-1-1111-1-1-1111
χ1211111111111-1-1111-111-1-11-1-1-1-1-1-11-11-1-1-111-11111-1-1-111-111-1
χ1311111111111-1-111-1-1-1-1-1-1-11111-1-1-111-1-11-111-1-1-1-1-11-111-1111
χ1411111111111-1-111-1-1-1-1-1-1-111-1-1-1-111-11111-11-1-1111-11-1-1-111-1
χ1511111111111-1-111-1-1-1-1-1-1-1-1-11111-111111-11-11111-11-1-1-11-1-1-1
χ1611111111111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-111-1-11-11111-1-11
χ1722222222-2-2222-2-20200-2-20002200200000-20000000-20000000
χ1822222222-2-2222-2-20200-2-2000-2-200-2000002000000020000000
χ1922222222-2-22-2-2-2-20-200220002200-20000020000000-20000000
χ2022222222-2-22-2-2-2-20-20022000-2-200200000-2000000020000000
χ21222222-2-2-2-2-20022202-200-22200-2-200000000-20000000002000
χ22222222-2-2-2-2-20022202-200-2-2-20022000000002000000000-2000
χ23222222-2-2-2-2-20022-20-2200222002200000000-2000000000-2000
χ24222222-2-2-2-2-20022-20-22002-2-200-2-20000000020000000002000
χ252222-2-2222-2-222-220-2002-200000000020000-20000020-2000000
χ262222-2-2222-2-222-220-2002-2000000000-20000200000-202000000
χ272222-2-2222-2-2-2-2-220200-2200000000020000-200000-202000000
χ282222-2-2222-2-2-2-2-220200-22000000000-2000020000020-2000000
χ292222-2-222-22-2222-22-2-22-22-20000000-200020000000000000000
χ302222-2-222-22-2222-2-2-22-2-22200000002000-20000000000000000
χ312222-2-222-22-2-2-22-222-222-2-200000002000-20000000000000000
χ322222-2-222-22-2-2-22-2-222-22-220000000-200020000000000000000
χ332222-2-2-2-22-22002-220-2-20020000000000000002i−2i000000002i−2i0
χ342222-2-2-2-22-22002-220-2-2002000000000000000−2i2i00000000−2i2i0
χ352222-2-2-2-22-22002-2-202200-20000000000000002i−2i00000000−2i2i0
χ362222-2-2-2-22-22002-2-202200-2000000000000000−2i2i000000002i−2i0
χ37444444-4-444-400-4-400000000000000000000000000000000000
χ384444-4-4-4-4-44400-4400000000000000000000000000000000000
χ3944-4-400-440004i−4i0000000000000000002i−2i000000000002-20000
χ4044-4-400-440004i−4i000000000000000000−2i2i00000000000-220000
χ4144-4-400-44000−4i4i0000000000000000002i−2i00000000000-220000
χ4244-4-400-44000−4i4i000000000000000000−2i2i000000000002-20000
χ434-44-4-4400000000000000000022−222i2−2i2000000000002i−2i000000000
χ444-44-4-4400000000000000000022−22−2i22i200000000000−2i2i000000000
χ454-44-4-44000000000000000000−22222i2−2i200000000000−2i2i000000000
χ464-44-4-44000000000000000000−2222−2i22i2000000000002i−2i000000000
χ4788-8-8008-8000000000000000000000000000000000000000000
χ488-88-88-800000000000000000000000000000000000000000000
χ498-8-880000000000000000004i−4i00000000000000000000000000
χ508-8-88000000000000000000−4i4i00000000000000000000000000

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