Finite Group Databasebeta

← Group #487621

Character table — Group #487621

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122224444488888888888888888816161616161616161616161616161616163232
order12222222222442222244444444444442444444444444888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-11-11-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1-1-111-1-11111-11-11-11-1-1-1-1-1-1-1-1-111
χ41111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-11-111111111-1-1
χ511111111111111-1-1-1-111111-1-1-1-1-1-11111-11-111-111111-1-1-1-1-1-1
χ611111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-11-11-1-1-1-1111111
χ711111111111111-1-1-1-11-1-1-1-111-1-11111111111-1-1-1-1-1-1-11111-1-1
χ811111111111111-1-1-1-11-1-1-1-111-1-11111-1-11-11-1-1-1-11111-1-1-1-111
χ91111-1-1111-11-1-1-111-1-1-111-1-111-1-1-1-1111-1-111-111-111-1-111-1-11-1
χ101111-1-1111-11-1-1-111-1-1-111-1-111-1-1-1-111-11-1-11111-1-1-111-1-111-11
χ111111-1-1111-11-1-1-111-1-1-1-1-111-1-1-1-111111-111-1-1-111-1-111-1-1111-1
χ121111-1-1111-11-1-1-111-1-1-1-1-111-1-1-1-11111-111-1-11-11111-1-111-1-1-11
χ131111-1-1111-11-1-1-1-1-111-111-1-1-1-11111111-111-1-11-1-111-1-1-1-111-11
χ141111-1-1111-11-1-1-1-1-111-111-1-1-1-1111111-111-1-111-1-1-1-11111-1-11-1
χ151111-1-1111-11-1-1-1-1-111-1-1-1111111-1-1111-1-111-1-1-11-1-11111-1-1-11
χ161111-1-1111-11-1-1-1-1-111-1-1-1111111-1-111-11-1-111-1-1111-1-1-1-1111-1
χ1722222222222-2-220000-22222000000-2-2000000-20-20000000000
χ1822222222222-2-220000-2-2-2-2-2000000-2-20000002020000000000
χ1922222222-22-222-20000-20000220022-2200-20-200000000000000
χ2022222222-22-222-20000-20000-2-200-2-2-220020200000000000000
χ2122222222-22-2-2-2-222222000000-2-2002-20000000-200000000000
χ2222222222-22-2-2-2-2-2-2-2-2200000022002-20000000200000000000
χ232222-2-2222-2222-20000222-2-2000000-2-2000000-2020000000000
χ242222-2-2222-2222-200002-2-222000000-2-200000020-20000000000
χ252222-2-222-2-2-222222-2-2-200000022002-20000000-200000000000
χ262222-2-222-2-2-2222-2-222-2000000-2-2002-20000000200000000000
χ272222-2-222-2-2-2-2-220000200002200-2-2-220020-200000000000000
χ282222-2-222-2-2-2-2-22000020000-2-20022-2200-20200000000000000
χ29444444-4-40-4000000000000000000000220-20-20000000000000
χ30444444-4-40-4000000000000000000000-2-202020000000000000
χ314444-4-4-4-4040000000000000000000002-20-2020000000000000
χ324444-4-4-4-404000000000000000000000-22020-20000000000000
χ3344-4-44-4000000002-22-202i−2i2i−2i2i−2i002i−2i000000000000000000000
χ3444-4-44-4000000002-22-20−2i2i−2i2i−2i2i00−2i2i000000000000000000000
χ3544-4-44-400000000-22-2202i−2i2i−2i−2i2i00−2i2i000000000000000000000
χ3644-4-44-400000000-22-220−2i2i−2i2i2i−2i002i−2i000000000000000000000
χ3744-4-4-44000000002-2-2202i−2i−2i2i2i−2i00−2i2i000000000000000000000
χ3844-4-4-44000000002-2-220−2i2i2i−2i−2i2i002i−2i000000000000000000000
χ3944-4-4-4400000000-222-202i−2i−2i2i−2i2i002i−2i000000000000000000000
χ4044-4-4-4400000000-222-20−2i2i2i−2i2i−2i00−2i2i000000000000000000000
χ414-44-4004-40004i−4i0000000000000000000000000002-22i−2i000000
χ424-44-4004-40004i−4i000000000000000000000000000-22−2i2i000000
χ434-44-4004-4000−4i4i0000000000000000000000000002-2−2i2i000000
χ444-44-4004-4000−4i4i000000000000000000000000000-222i−2i000000
χ454-44-400-4440-40000000000000000000000000000000002i2−2i20000
χ464-44-400-4440-4000000000000000000000000000000000−2i22i20000
χ474-44-400-44-4040000000000000000000000000000000000022−2200
χ484-44-400-44-40400000000000000000000000000000000000−222200
χ498-8-880000000000000000000004-400000000000000000000000
χ508-8-88000000000000000000000-4400000000000000000000000

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