Finite Group Databasebeta

← Group #277913

Character table — Group #277913

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111222222224444444444444888888888881616161616161616161616161616161616163232
order12222244444422444448888882488888888824888888888888888824
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ51111111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-111-1-1111-1-1-1-1-11-1
χ61111111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-111-1-111111-1-1-111-11
χ71111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1111-1-1-11
χ81111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1111111-1
χ9111111111111-1-111-1-11111111-1-11-1-1-1-1111111-1-111-1-1-1-11-1-11-1-1-1-111
χ10111111111111-1-111-1-11111111-1-11-1-1-1-11111-1-111-1-111111-1-11-1-111-1-1
χ11111111111111-1-111-1-11111111-1-11-1-1-1-1-1-1-1-111-1-1111111-111-111-1-1-1-1
χ12111111111111-1-111-1-11111111-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1111111
χ13111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1111-1-1-111111-1
χ14111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11-1-1-111-1-1-11
χ15111111111111-1-111-1-11-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1111-1-111-11
χ16111111111111-1-111-1-11-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1111-1-1-1-11-1
χ1722222222-2-2-2-2222-2-2-2-20000002-200000000000002i−2i00000000002i−2i00
χ1822222222-2-2-2-2222-2-2-2-20000002-20000000000000−2i2i0000000000−2i2i00
χ1922222222-2-2-2-2-2-22-222-2000000-2200000000000002i−2i0000000000−2i2i00
χ2022222222-2-2-2-2-2-22-222-2000000-220000000000000−2i2i00000000002i−2i00
χ21222222-2-2222200-2-200-22222-2-200-2000022220000000000-200-2000000
χ22222222-2-2222200-2-200-22222-2-200-20000-2-2-2-200000000002002000000
χ23222222-2-2222200-2-200-2-2-2-2-222002000022-2-20000000000-2002000000
χ24222222-2-2222200-2-200-2-2-2-2-2220020000-2-2220000000000200-2000000
χ252222-2-22222-2-222-2-2-2-2222-2-222-22-222-2-2000000000000000000000000
χ262222-2-22222-2-222-2-2-2-22-2-222-2-2-222-2-222000000000000000000000000
χ272222-2-22222-2-2-2-2-2-222222-2-2222-2-2-2-222000000000000000000000000
χ282222-2-22222-2-2-2-2-2-2222-2-222-2-22-2222-2-2000000000000000000000000
χ292222-2-222-2-22222-2222-2000000-2-20000000002-22-20000000000000000
χ302222-2-222-2-22222-2222-2000000-2-2000000000-22-220000000000000000
χ312222-2-222-2-222-2-2-22-2-2-2000000220000000002-2-220000000000000000
χ322222-2-222-2-222-2-2-22-2-2-200000022000000000-222-20000000000000000
χ332222-2-2-2-222-2-2002200-222-2-2-2-200200000000000000000002i−2i02i−2i0000
χ342222-2-2-2-222-2-2002200-222-2-2-2-20020000000000000000000−2i2i0−2i2i0000
χ352222-2-2-2-222-2-2002200-2-2-2222200-200000000000000000002i−2i0−2i2i0000
χ362222-2-2-2-222-2-2002200-2-2-2222200-20000000000000000000−2i2i02i−2i0000
χ37444444-4-4-4-4-4-400-440040000000000000000000000000000000000000
χ384444-4-4-4-4-4-444004-40040000000000000000000000000000000000000
χ3944-4-4004-4000000004i−4i02i2−2i2002i2−2i20000022−22000000000000000000000000
χ4044-4-4004-4000000004i−4i0−2i22i200−2i22i200000−2222000000000000000000000000
χ4144-4-4004-400000000−4i4i02i2−2i2002i2−2i200000−2222000000000000000000000000
χ4244-4-4004-400000000−4i4i0−2i22i200−2i22i20000022−22000000000000000000000000
χ4344-4-400-4400004-4000002i2−2i200−2i22i20002i2−2i200000000000000000000000000
χ4444-4-400-4400004-400000−2i22i2002i2−2i2000−2i22i200000000000000000000000000
χ4544-4-400-440000-44000002i2−2i200−2i22i2000−2i22i200000000000000000000000000
χ4644-4-400-440000-4400000−2i22i2002i2−2i20002i2−2i200000000000000000000000000
χ474-4-444-4004-44-400000000000000000000000000000022−22000000000000
χ484-4-444-4004-44-4000000000000000000000000000000−2222000000000000
χ494-4-444-400-44-4400000000000000000000004-400000000000000000000
χ504-4-444-400-44-440000000000000000000000-4400000000000000000000
χ514-4-44-44004-4-440000000000000000000000000000000022−220000000000
χ524-4-44-44004-4-4400000000000000000000000000000000−22220000000000
χ534-4-44-4400-444-4000000000000000000004-40000000000000000000000
χ544-4-44-4400-444-400000000000000000000-440000000000000000000000
χ558-88-8000000000000000004i2−4i2000000000000000000000000000000000
χ568-88-800000000000000000−4i24i2000000000000000000000000000000000

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