Finite Group Databasebeta

← Group #487697

Character table — Group #487697

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size111122224444488888816161616161616161616161616161616161616161616163232
order12222222244444444442244444444444448888888888
χ111111111111111111111111111111111111111111111
χ211111111111111111111-11-11-111-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-11-11-111-11-1-111-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111-1-1-1-1-1-11-1-1-1-111-1-111111111-1-1
χ5111111111111111-1-1111111-11-1-111-1-1-11-1-1-1-1-11111-1-1
χ6111111111111111-1-1111-11-1-1-1-1-1-11-1-1-11-11111-1-1-1-111
χ7111111111111111-1-111-11-1111-111-11-1-1-111111-1-1-1-1-1-1
χ8111111111111111-1-111-1-1-1-11-1-11-1-11-1-1-11-1-1-1-1111111
χ91111-1-111-1-1-111-1-1111111-1-1-1-1-111-111-11-111-1-111-1-11-1
χ101111-1-111-1-1-111-1-111111-1-11-11-11-1-111-11-1-1-111-1-111-11
χ111111-1-111-1-1-111-1-11111-111-11-1-1-111-11-1-11-1-111-1-1111-1
χ121111-1-111-1-1-111-1-11111-1-11111-1-1-11-11-1-1111-1-111-1-1-11
χ131111-1-111-1-1-111-1-1-1-11111-1-11-11-11-1-1-1111-1-11111-1-1-11
χ141111-1-111-1-1-111-1-1-1-1111-1-11111-1-1-1-1-111111-1-1-1-1111-1
χ151111-1-111-1-1-111-1-1-1-111-111-1-1-111111-11-1-111-1-1-1-111-11
χ161111-1-111-1-1-111-1-1-1-111-1-111-1111-111-11-1-1-1-11111-1-11-1
χ1722222222222-2-2-2-2002-2202000000-2000-200000000000
χ1822222222222-2-2-2-2002-2-20-20000002000200000000000
χ19222222222-2-222-2200-2-20000200200-2000-20000000000
χ20222222222-2-222-2200-2-20000-200-200200020000000000
χ21222222222-2-2-2-22-222-2200000020000-2-2000000000000
χ22222222222-2-2-2-22-2-2-2-22000000-2000022000000000000
χ232222-2-222-222222-200-2-20000200-2002000-20000000000
χ242222-2-222-222222-200-2-20000-200200-200020000000000
χ252222-2-222-222-2-2-2222-22000000-20000-22000000000000
χ262222-2-222-222-2-2-22-2-2-22000000200002-2000000000000
χ272222-2-222-2-2-2-2-222002-220-20000002000-200000000000
χ282222-2-222-2-2-2-2-222002-2-202000000-2000200000000000
χ29444444-4-4-4000000000002020-200-20000000000000000
χ30444444-4-4-400000000000-20-2020020000000000000000
χ314444-4-4-4-440000000000020-20200-20000000000000000
χ324444-4-4-4-4400000000000-2020-20020000000000000000
χ334-4-44004-404i−4i000000000000000000000002-22i−2i000000
χ344-4-44004-404i−4i00000000000000000000000-22−2i2i000000
χ354-4-44004-40−4i4i000000000000000000000002-2−2i2i000000
χ364-4-44004-40−4i4i00000000000000000000000-222i−2i000000
χ374-4-4400-440004-40000000000000000000000000002i2−2i200
χ384-4-4400-440004-4000000000000000000000000000−2i22i200
χ394-4-4400-44000-44000000000000000000000000022−220000
χ404-4-4400-44000-440000000000000000000000000−22220000
χ4188-8-88-800000000000000000000000000000000000000
χ4288-8-8-8800000000000000000000000000000000000000
χ438-88-8000000000004i−4i000000000000000000000000000
χ448-88-800000000000−4i4i000000000000000000000000000

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