Finite Group Databasebeta

← Group #487663

Character table — Group #487663

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size111122224444488888816161616161616161616161616161616161616161616163232
order12222222222442444442224444444444444444888888
χ111111111111111111111111111111111111111111111
χ2111111111111111111111-1-11-111-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-11111-1-11-1-111-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111-1-1-1-11-1-1-1-1-1-111-1-111111111-1-1
χ5111111111111111-1-1111-111-111-111-1-1-11-11111-1-1-1-1-1-1
χ6111111111111111-1-1111-1-1-1-1-11-1-11-1-1-11-1-1-1-1-1111111
χ7111111111111111-1-111-1111-11-111-11-1-1-11-1-1-1-11111-1-1
χ8111111111111111-1-111-11-1-1-1-1-11-1-11-1-1-111111-1-1-1-111
χ91111-1-1111-11-1-1-1-111111-11-1-11-11-1111-1-1-111-1-111-1-11-1
χ101111-1-1111-11-1-1-1-111111-1-11-1-1-111111-1-1-1-1-111-1-111-11
χ111111-1-1111-11-1-1-1-11111-111-1-111-1-1-1-11-111-1-111-1-1111-1
χ121111-1-1111-11-1-1-1-11111-11-11-1-11-11-1-11-11111-1-111-1-1-11
χ131111-1-1111-11-1-1-1-1-1-111111-111-1-1-11-1-11-1111-1-1-1-111-11
χ141111-1-1111-11-1-1-1-1-1-11111-111-1-1-111-1-11-11-1-11111-1-11-1
χ151111-1-1111-11-1-1-1-1-1-111-1-11-11111-1-11-111-1-1-11111-1-1-11
χ161111-1-1111-11-1-1-1-1-1-111-1-1-111-1111-11-111-111-1-1-1-1111-1
χ1722222222222-2-22-200-2-2200000200-2000-200000000000
χ1822222222222-2-22-200-2-2-200000-2002000200000000000
χ1922222222-22-222-2-200-220200000200-2000-20000000000
χ2022222222-22-222-2-200-220-200000-200200020000000000
χ2122222222-22-2-2-2-22222-200002000000-2-2000000000000
χ2222222222-22-2-2-2-22-2-22-20000-200000022000000000000
χ232222-2-2222-2222-2200-2-2200000-200-2000200000000000
χ242222-2-2222-2222-2200-2-2-2000002002000-200000000000
χ252222-2-222-2-2-2222-2222-20000-2000000-22000000000000
χ262222-2-222-2-2-2222-2-2-22-2000020000002-2000000000000
χ272222-2-222-2-2-2-2-22200-220200000-2002000-20000000000
χ282222-2-222-2-2-2-2-22200-220-200000200-200020000000000
χ29444444-4-40-4000000000002-20-20020000000000000000
χ30444444-4-40-400000000000-220200-20000000000000000
χ314444-4-4-4-40400000000000220-200-20000000000000000
χ324444-4-4-4-40400000000000-2-2020020000000000000000
χ334-44-4004-40004i−4i0000000000000000000002-22i−2i000000
χ344-44-4004-40004i−4i000000000000000000000-22−2i2i000000
χ354-44-4004-4000−4i4i0000000000000000000002-2−2i2i000000
χ364-44-4004-4000−4i4i000000000000000000000-222i−2i000000
χ374-44-400-4440-40000000000000000000000000002i2−2i20000
χ384-44-400-4440-4000000000000000000000000000−2i22i20000
χ394-44-400-44-4040000000000000000000000000000022−2200
χ404-44-400-44-40400000000000000000000000000000−222200
χ4188-8-8000000000004i−4i000000000000000000000000000
χ4288-8-800000000000−4i4i000000000000000000000000000
χ438-8-888-800000000000000000000000000000000000000
χ448-8-88-8800000000000000000000000000000000000000

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