Finite Group Databasebeta

← Group #277899

Character table — Group #277899

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111222222224444444444444888888888881616161616161616161616161616161616163232
order12222244444422444448888882488888888844888888888888888844
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-111-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ51111111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-1111-11111-1-1-1-111-1-1-1-11-1
χ61111111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-11-1-1-1-1-1111111-1-111-11
χ71111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-11111-1111-1-111-1-1-1-111-1-1-11
χ81111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-11-1-111-1-111-1-111111-1
χ9111111111111-1-111-1-11111111-1-11-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-111
χ10111111111111-1-111-1-11111111-1-11-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-1
χ11111111111111-1-111-1-11111111-1-11-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1
χ12111111111111-1-111-1-11111111-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111
χ13111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-1-111-1-1-1-111111-1
χ14111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1111111-1-1-1-11-11111-1-111-1-111-1-1-11
χ15111111111111-1-111-1-11-1-1-1-1-1-1-1-1-11111-1-11111-11-1-111-1-1-1-111-1-111-11
χ16111111111111-1-111-1-11-1-1-1-1-1-1-1-1-11111-1-111-1-1-1111-1-1111111-1-1-1-11-1
χ1722222222-2-22200-2-200-222-2-2-2-2002000022-2-200-220000000000000000
χ1822222222-2-22200-2-200-222-2-2-2-20020000-2-222002-20000000000000000
χ1922222222-2-22200-2-200-2-2-2222200-20000222200-2-20000000000000000
χ2022222222-2-22200-2-200-2-2-2222200-20000-2-2-2-200220000000000000000
χ21222222-2-222-2-222-22-2-2-20000002-200000000000000000002i−2i00002i−2i00
χ22222222-2-222-2-222-22-2-2-20000002-20000000000000000000−2i2i0000−2i2i00
χ23222222-2-222-2-2-2-2-2222-2000000-2200000000000000000002i−2i0000−2i2i00
χ24222222-2-222-2-2-2-2-2222-2000000-220000000000000000000−2i2i00002i−2i00
χ252222-2-22-2222-222-2-2-2-222222-2-2-22-222-2-2000000000000000000000000
χ262222-2-22-2222-222-2-2-2-22-2-2-2-222-222-2-222000000000000000000000000
χ272222-2-22-2222-2-2-2-2-22222222-2-22-2-2-2-222000000000000000000000000
χ282222-2-22-2222-2-2-2-2-2222-2-2-2-2222-2222-2-2000000000000000000000000
χ292222-2-22-2-2-22-2002200-222-2-22200-2000000000000000000002i−2i2i−2i0000
χ302222-2-22-2-2-22-2002200-222-2-22200-200000000000000000000−2i2i−2i2i0000
χ312222-2-22-2-2-22-2002200-2-2-222-2-2002000000000000000000002i−2i−2i2i0000
χ322222-2-22-2-2-22-2002200-2-2-222-2-200200000000000000000000−2i2i2i−2i0000
χ332222-2-2-2222-22222-222-2000000-2-20000000002-2002-200000000000000
χ342222-2-2-2222-22222-222-2000000-2-2000000000-2200-2200000000000000
χ352222-2-2-2222-22-2-22-2-2-2-2000000220000000002-200-2200000000000000
χ362222-2-2-2222-22-2-22-2-2-2-200000022000000000-22002-200000000000000
χ37444444-4-4-4-4-4-4004-40040000000000000000000000000000000000000
χ384444-4-4-44-4-4-4400-440040000000000000000000000000000000000000
χ394-44-400004-40000004i−4i02i2−2i22i2−2i2000000022−22000000000000000000000000
χ404-44-400004-40000004i−4i0−2i22i2−2i22i20000000−2222000000000000000000000000
χ414-44-400004-4000000−4i4i02i2−2i22i2−2i20000000−2222000000000000000000000000
χ424-44-400004-4000000−4i4i0−2i22i2−2i22i2000000022−22000000000000000000000000
χ434-44-40000-44004-4000002i2−2i2−2i22i2000002i2−2i200000000000000000000000000
χ444-44-40000-44004-400000−2i22i22i2−2i200000−2i22i200000000000000000000000000
χ454-44-40000-4400-44000002i2−2i2−2i22i200000−2i22i200000000000000000000000000
χ464-44-40000-4400-4400000−2i22i22i2−2i2000002i2−2i200000000000000000000000000
χ474-4-444-44400-4-400000000000000000000000000000022−22000000000000
χ484-4-444-44400-4-4000000000000000000000000000000−2222000000000000
χ494-4-444-4-4-4004400000000000000000000004-400000000000000000000
χ504-4-444-4-4-400440000000000000000000000-4400000000000000000000
χ514-4-44-444-400-44000000000000000000000000000000002i2−2i20000000000
χ524-4-44-444-400-4400000000000000000000000000000000−2i22i20000000000
χ534-4-44-44-44004-4000000000000000000004i−4i0000000000000000000000
χ544-4-44-44-44004-400000000000000000000−4i4i0000000000000000000000
χ5588-8-8000000000000000000042−420000000000000000000000000000000
χ5688-8-80000000000000000000−42420000000000000000000000000000000

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