Finite Group Databasebeta

← Group #317287

Character table — Group #317287

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444444444488888881616161616161616161616161616161632323232
order12224444244448888888888888888824444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-111-1-11-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1
χ611111111111111111-1-1-1-111-1-11-1-1-1-11111-1-111-1-1-1-1-1-111-1-111
χ711111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111
χ811111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ91111111111111-1-1-1-11111-1-111-1-1-1-1-11-11-111-1-111-1-1-1-1111-11-1
χ101111111111111-1-1-1-11111-1-111-1-1-1-1-11-11-1-1-11111-1-111-1-1-11-11
χ111111111111111-1-1-1-11111-1-111-1-1-1-1-1-11-1111-1-1-1-111-1-111-11-11
χ121111111111111-1-1-1-11111-1-111-1-1-1-1-1-11-11-1-111-1-11111-1-11-11-1
χ131111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-11111-1-111-1-1-1-11-1-11
χ141111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-1111111-111-1
χ151111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11111111-1-1-1-1-1-1-111-1
χ161111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-1-1-111-1-111111-1-11
χ1722222222-2-22-2-222-2-2222222-2-2-222-2-200000000000000000000
χ1822222222-2-22-2-222-2-2-2-2-2-22222-2-2-22200000000000000000000
χ1922222222-2-22-2-2-2-2222222-2-2-2-22-2-22200000000000000000000
χ2022222222-2-22-2-2-2-222-2-2-2-2-2-222222-2-200000000000000000000
χ2122222-2-2222-2-2-222220000-2-200-20000000000002i−2i2i−2i00000000
χ2222222-2-2222-2-2-222220000-2-200-2000000000000−2i2i−2i2i00000000
χ2322222-2-2222-2-2-2-2-2-2-20000220020000000000002i−2i−2i2i00000000
χ2422222-2-2222-2-2-2-2-2-2-2000022002000000000000−2i2i2i−2i00000000
χ2522222-2-22-2-2-22222-2-20000-2-200200002-2-220000000000000000
χ2622222-2-22-2-2-22222-2-20000-2-20020000-222-20000000000000000
χ2722222-2-22-2-2-222-2-22200002200-2000022-2-20000000000000000
χ2822222-2-22-2-2-222-2-22200002200-20000-2-2220000000000000000
χ292222-2-2-2-22-222-200002i2i−2i−2i002i−2i000000000002-200002i−2i000000
χ302222-2-2-2-22-222-200002i2i−2i−2i002i−2i00000000000-220000−2i2i000000
χ312222-2-2-2-22-222-20000−2i−2i2i2i00−2i2i000000000002-20000−2i2i000000
χ322222-2-2-2-22-222-20000−2i−2i2i2i00−2i2i00000000000-2200002i−2i000000
χ332222-2-2-2-2-222-2200002i2i−2i−2i00−2i2i0000000002-2000000002i−2i0000
χ342222-2-2-2-2-222-2200002i2i−2i−2i00−2i2i000000000-2200000000−2i2i0000
χ352222-2-2-2-2-222-220000−2i−2i2i2i002i−2i0000000002-200000000−2i2i0000
χ362222-2-2-2-2-222-220000−2i−2i2i2i002i−2i000000000-22000000002i−2i0000
χ374444-444-44-4-4-440000000000000000000000000000000000000
χ384444-444-4-44-44-40000000000000000000000000000000000000
χ3944-4-4400-400000004-422−2222−22000000022−2200000000000000000000
χ4044-4-4400-400000004-4−2222−22220000000−222200000000000000000000
χ4144-4-4400-40000000-4422−2222−220000000−222200000000000000000000
χ4244-4-4400-40000000-44−2222−2222000000022−2200000000000000000000
χ4344-4-4-4004000004i−4i002i2−2i2−2i22i20000022−220000000000000000000000
χ4444-4-4-4004000004i−4i00−2i22i22i2−2i200000−22220000000000000000000000
χ4544-4-4-400400000−4i4i002i2−2i2−2i22i200000−22220000000000000000000000
χ4644-4-4-400400000−4i4i00−2i22i22i2−2i20000022−220000000000000000000000
χ478-88-8000000000000000004i2−4i2000000000000000000000000000
χ488-88-800000000000000000−4i24i2000000000000000000000000000
χ498-8-8808i−8i0000000000000000000000000000000000000000000
χ508-8-880−8i8i0000000000000000000000000000000000000000000

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