Finite Group Databasebeta

← Group #487665

Character table — Group #487665

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size111122224444488888816161616161616161616161616161616161616161616163232
order12222222222442444442444444444444444444888888
χ111111111111111111111111111111111111111111111
χ21111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ31111111111111111111-1-1-1111-111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111-1-1-1-1-11-1-1-1-1-111-1-111111111-1-1
χ5111111111111111-1-1111111-1-111-11-1-1-11-11111-1-1-1-1-1-1
χ6111111111111111-1-111111-11-11-11-11-1-1-11-1-1-1-11111-1-1
χ7111111111111111-1-111-1-1-11-1-1-11-11-1-1-11-1-1-1-1-1111111
χ8111111111111111-1-111-1-1-1-11-1-1-11-11-1-1-111111-1-1-1-111
χ91111-1-1111-11-1-1-1-111111-1-11-1-11-11-1-11-11111-1-111-1-11-1
χ101111-1-1111-11-1-1-1-111111-1-1-11-111-1111-1-1-1-1-111-1-1111-1
χ111111-1-1111-11-1-1-1-11111-1111-1-1-1-11-1-11-111-1-111-1-111-11
χ121111-1-1111-11-1-1-1-11111-111-11-1-11-1111-1-1-111-1-111-1-1-11
χ131111-1-1111-11-1-1-1-1-1-1111-1-11111-1-1-11-111-111-1-1-1-111-11
χ141111-1-1111-11-1-1-1-1-1-1111-1-1-1-111111-1-11-11-1-11111-1-1-11
χ151111-1-1111-11-1-1-1-1-1-111-111111-1-1-1-11-111-1-1-11111-1-11-1
χ161111-1-1111-11-1-1-1-1-1-111-111-1-11-1111-1-11-1111-1-1-1-1111-1
χ1722222222222-2-22-200-2-2000200020-2000-200000000000
χ1822222222222-2-22-200-2-2000-2000-202000200000000000
χ1922222222-22-222-2-2002-20000200020-2000-20000000000
χ2022222222-22-222-2-2002-20000-2000-20200020000000000
χ2122222222-22-2-2-2-2222-2200000200000-2-2000000000000
χ2222222222-22-2-2-2-22-2-2-2200000-20000022000000000000
χ232222-2-2222-2222-2200-2-20002000-202000-200000000000
χ242222-2-2222-2222-2200-2-2000-200020-2000200000000000
χ252222-2-222-2-2-2222-222-2200000-200000-22000000000000
χ262222-2-222-2-2-2222-2-2-2-22000002000002-2000000000000
χ272222-2-222-2-2-2-2-222002-200002000-20-200020000000000
χ282222-2-222-2-2-2-2-222002-20000-2000202000-20000000000
χ29444444-4-40-400000000022-2000-2000000000000000000
χ30444444-4-40-4000000000-2-220002000000000000000000
χ314444-4-4-4-4040000000002-22000-2000000000000000000
χ324444-4-4-4-404000000000-22-20002000000000000000000
χ334-4-44004-40004i−4i0000000000000000000002i−2i2-2000000
χ344-4-44004-40004i−4i000000000000000000000−2i2i-22000000
χ354-4-44004-4000−4i4i0000000000000000000002i−2i-22000000
χ364-4-44004-4000−4i4i000000000000000000000−2i2i2-2000000
χ374-4-4400-4440-4000000000000000000000000000002i2−2i200
χ384-4-4400-4440-400000000000000000000000000000−2i22i200
χ394-4-4400-44-40400000000000000000000000000022−220000
χ404-4-4400-44-404000000000000000000000000000−22220000
χ4188-8-88-800000000000000000000000000000000000000
χ4288-8-8-8800000000000000000000000000000000000000
χ438-88-8000000000004i−4i000000000000000000000000000
χ448-88-800000000000−4i4i000000000000000000000000000

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