Finite Group Databasebeta

← Group #177708

Character table — Group #177708

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444244444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-11-1-1-1-11-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-11-1-11-1-11-11-1-11-11111-1-1-1-11111-1-1
χ6111111111111111111-1-11-1-11-1-11-11-1-11-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-11-1-1-11-1-11-11-1-111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-11-1-1-11-1-11-11-1-11-1-1-1-111111111-1-1
χ91111111111-1-11111-1-111-1-1-111-111-1-11-1-111-1-111-1-111-1-11-1
χ101111111111-1-11111-1-111-1-1-111-111-1-11-1-1-1-111-1-111-1-111-11
χ111111111111-1-11111-1-111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-111-11
χ121111111111-1-11111-1-111-1-1-1-1-1-1-1-111111-1-111-1-11111-1-11-1
χ131111111111-1-11111-1-1-1-1-1111-111-1-11-1-1111-1-1-1-11111-1-1-11
χ141111111111-1-11111-1-1-1-1-1111-111-1-11-1-11-1-11111-1-1-1-1111-1
χ151111111111-1-11111-1-1-1-1-111-111-111-1-11-111-1-1-1-111-1-1111-1
χ161111111111-1-11111-1-1-1-1-111-111-111-1-11-1-1-11111-1-111-1-1-11
χ17222222222-222-22-2-22-200-2000200-20200-200000000000000
χ18222222222-222-22-2-22-200-2000-20020-200200000000000000
χ19222222222-2-2-2-22-2-2-22002000200-20-200200000000000000
χ20222222222-2-2-2-22-2-2-22002000-20020200-200000000000000
χ2122222222-2222-2-22-2-2-22222200-20000-20000000000000000
χ2222222222-2222-2-22-2-2-2-2-22-2-2002000020000000000000000
χ2322222222-22-2-2-2-22-22222-2-2-20020000-20000000000000000
χ2422222222-22-2-2-2-22-222-2-2-22200-2000020000000000000000
χ2522222222-2-2222-2-22-2200-200200-20200-2000000000000000
χ2622222222-2-2222-2-22-2200-200-20020-2002000000000000000
χ2722222222-2-2-2-22-2-222-200200200-20-2002000000000000000
χ2822222222-2-2-2-22-2-222-200200-20020200-2000000000000000
χ2944-44-44-4-440000-4000000000000000000000000022−22000000
χ3044-44-44-4-440000-40000000000000000000000000−2222000000
χ3144-44-44-4-4-400004000000000000000000000002i2−2i200000000
χ3244-44-44-4-4-40000400000000000000000000000−2i22i200000000
χ334-4444-4-4-4040000-40004-4000000000000000000000000000
χ344-4444-4-4-4040000-4000-44000000000000000000000000000
χ354-4444-4-4-40-4000040000004i−4i000000000000000000000000
χ364-4444-4-4-40-400004000000−4i4i000000000000000000000000
χ374-44-4-444-4004-4000000000000000000000000000002i−2i2i−2i00
χ384-44-4-444-4004-400000000000000000000000000000−2i2i−2i2i00
χ394-44-4-444-400-44000000000000000000000000000002i−2i−2i2i00
χ404-44-4-444-400-4400000000000000000000000000000−2i2i2i−2i00
χ414-4-4-444-440000400-400000000000000000002i2−2i20000000000
χ424-4-4-444-440000400-40000000000000000000−2i22i20000000000
χ434-4-4-444-440000-40040000000000000000022−22000000000000
χ444-4-4-444-440000-400400000000000000000−2222000000000000
χ45888-8-8-8-88000000000000000000000000000000000000000
χ4688-8-88-88-8000000000000000000000000000000000000000
χ478-8-88-8-888000000000000000000000000000000000000000

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