Finite Group Databasebeta

← Group #265366

Character table — Group #265366

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222444444444448888888888888161616161616161616161616161632323232
order12222244224448888882444444488888224444444488884488
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111111-1-1-1-11-1-1-1-111111111-1-111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ51111111111111111111-1-1-1-11111111111-1111-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111-1-1-1-1111111111-11-1-1-1111-1-1-1-1-1-1-1-111
χ71111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1111-1-1-111-1-111-1-111
χ81111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-11-1-1-111111-1-11111-1-1
χ91111111111111-1-1-1-1-1-111111111-1-1-1-1-11-11-1-111-1-1-1-1-1111-11-1
χ101111111111111-1-1-1-1-1-111111111-1-1-1-1-1-11-111-1-11-1-1-1-111-11-11
χ111111111111111-1-1-1-1-1-11111-1-1-1-1-111111-11-1-111-111-1-1-1-1-11-11
χ121111111111111-1-1-1-1-1-11111-1-1-1-1-11111-11-111-1-1111-1-1-1-11-11-1
χ131111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-111111-1-11-1-11
χ141111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11111-1-1-111-1
χ151111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-11111-111-1
χ161111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-111111-1-11
χ1722222222-2-22-2-22222-2-200000000-2000020-22-20000000000000
χ1822222222-2-22-2-22222-2-200000000-20000-202-220000000000000
χ1922222222-2-22-2-2-2-2-2-222000000002000020-2-220000000000000
χ2022222222-2-22-2-2-2-2-2-2220000000020000-2022-20000000000000
χ21222222-2-2-2-2-22200000022-2-222-2-2000000000000000002-20000
χ22222222-2-2-2-2-22200000022-2-2-2-22200000000000000000-220000
χ23222222-2-2-2-2-222000000-2-22222-2-200000000000000000-220000
χ24222222-2-2-2-2-222000000-2-222-2-222000000000000000002-20000
χ252222-2-2222-2-2-2222-2-22200000000-20000020002-2-20000000000
χ262222-2-2222-2-2-2222-2-22200000000-200000-2000-2220000000000
χ272222-2-2222-2-2-22-2-222-2-2000000002000002000-22-20000000000
χ282222-2-2222-2-2-22-2-222-2-200000000200000-20002-220000000000
χ292222-2-222-22-22-222-2-2-2-22-22-200002000000000000002-2000000
χ302222-2-222-22-22-222-2-2-2-2-22-220000200000000000000-22000000
χ312222-2-222-22-22-2-2-222222-22-20000-200000000000000-22000000
χ322222-2-222-22-22-2-2-22222-22-220000-2000000000000002-2000000
χ332222-2-2-2-22-222-20000002-2-22000002i2i−2i−2i000000002i−2i00000000
χ342222-2-2-2-22-222-20000002-2-2200000−2i−2i2i2i00000000−2i2i00000000
χ352222-2-2-2-22-222-2000000-222-2000002i2i−2i−2i00000000−2i2i00000000
χ362222-2-2-2-22-222-2000000-222-200000−2i−2i2i2i000000002i−2i00000000
χ37444444-4-444-4-4-40000000000000000000000000000000000000
χ384444-4-4-4-4-444-440000000000000000000000000000000000000
χ3944-4-4004-40000000004-400002i−2i2i−2i02i−2i2i−2i000000000000000000
χ4044-4-4004-40000000004-40000−2i2i−2i2i0−2i2i−2i2i000000000000000000
χ4144-4-4004-4000000000-4400002i−2i2i−2i0−2i2i−2i2i000000000000000000
χ4244-4-4004-4000000000-440000−2i2i−2i2i02i−2i2i−2i000000000000000000
χ4344-4-400-4400000004i−4i0000002i−2i−2i2i02-2-22000000000000000000
χ4444-4-400-4400000004i−4i000000−2i2i2i−2i0-222-2000000000000000000
χ4544-4-400-440000000−4i4i0000002i−2i−2i2i0-222-2000000000000000000
χ4644-4-400-440000000−4i4i000000−2i2i2i−2i02-2-22000000000000000000
χ478-88-80000000004i2−4i200000000000000000000000000000000000
χ488-88-8000000000−4i24i200000000000000000000000000000000000
χ498-8-888-800000000000000000000000000000000000000000000
χ508-8-88-8800000000000000000000000000000000000000000000

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