Finite Group Databasebeta

← Group #487781

Character table — Group #487781

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size111122224444488888816161616161616161616161616161616161616161616163232
order12222222222442444442244444444444444444888888
χ111111111111111111111111111111111111111111111
χ211111111111111111111-11-11-1111-111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-11-11-1111-11-1-11-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111-1-1-1-1-1-111-1-1-1-11-1-111111111-1-1
χ5111111111111111-1-11111-11-11-1-1111-1-11-1-1-1-1-11111-1-1
χ6111111111111111-1-1111-1-1-1-1-1-1-11-11-1-11-11111-1-1-1-111
χ7111111111111111-1-111-111111-1-1-11-11-1-111111-1-1-1-1-1-1
χ8111111111111111-1-111-1-11-11-1-1-1-1-1-11-1-11-1-1-1-1111111
χ91111-1-1111-11-1-1-1-111111111-1-11-1-1-11-1-1-1111-1-111-1-11-1
χ101111-1-1111-11-1-1-1-111111-11-1-111-1-111-1-1-11-1-111-1-111-11
χ111111-1-1111-11-1-1-1-11111-11-111-11-11-1-11-11-1-1-111-1-1111-1
χ121111-1-1111-11-1-1-1-11111-1-1-1-1111-111-11-11-111-1-111-1-1-11
χ131111-1-1111-11-1-1-1-1-1-11111-111-1-11-1-1111-1-1-1-11111-1-1-11
χ141111-1-1111-11-1-1-1-1-1-1111-1-1-111-11-11111-1-111-1-1-1-1111-1
χ151111-1-1111-11-1-1-1-1-1-111-1111-1-1-111-1-1-111111-1-1-1-111-11
χ161111-1-1111-11-1-1-1-1-1-111-1-11-1-11-1111-1-1111-1-11111-1-11-1
χ1722222222222-2-22-200-2-200202000000-200-20000000000
χ1822222222222-2-22-200-2-200-20-200000020020000000000
χ1922222222-22-222-2-2002-22000000020-200-200000000000
χ2022222222-22-222-2-2002-2-20000000-20200200000000000
χ2122222222-22-2-2-2-2222-22000000-2-200002000000000000
χ2222222222-22-2-2-2-22-2-2-22000000220000-2000000000000
χ232222-2-2222-2222-2200-2-20020-2000000200-20000000000
χ242222-2-2222-2222-2200-2-200-202000000-20020000000000
χ252222-2-222-2-2-2222-222-22000000-220000-2000000000000
χ262222-2-222-2-2-2222-2-2-2-220000002-200002000000000000
χ272222-2-222-2-2-2-2-222002-220000000-20-200200000000000
χ282222-2-222-2-2-2-2-222002-2-2000000020200-200000000000
χ29444444-4-40-4000000000020-20-20002000000000000000
χ30444444-4-40-40000000000-20202000-2000000000000000
χ314444-4-4-4-404000000000020-202000-2000000000000000
χ324444-4-4-4-4040000000000-2020-20002000000000000000
χ3344-4-4004-440-400000000000000000000000000022−220000
χ3444-4-4004-440-4000000000000000000000000000−22220000
χ3544-4-4004-4-404000000000000000000000000000002i2−2i200
χ3644-4-4004-4-40400000000000000000000000000000−2i22i200
χ3744-4-400-440004i−4i0000000000000000000002-22i−2i000000
χ3844-4-400-440004i−4i000000000000000000000-22−2i2i000000
χ3944-4-400-44000−4i4i0000000000000000000002-2−2i2i000000
χ4044-4-400-44000−4i4i000000000000000000000-222i−2i000000
χ418-88-8000000000004i−4i000000000000000000000000000
χ428-88-800000000000−4i4i000000000000000000000000000
χ438-8-888-800000000000000000000000000000000000000
χ448-8-88-8800000000000000000000000000000000000000

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