Finite Group Databasebeta

← Group #277902

Character table — Group #277902

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111222222224444444444444888888888881616161616161616161616161616161616163232
order12222244444422444448888882488888888844888888888888888844
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-111-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ51111111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-11111-11-1-111-1-111-1-1-1-11-1
χ61111111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-11-1-111-1-11111-1-111-11
χ71111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-111111-111-1-1-1-111-1-111-1-1-11
χ81111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-11-11111-1-1-1-111111-1
χ9111111111111-1-111-1-11111111-1-11-1-1-1-1111111-111-111-1-1-1-1-1-1-1-1-1-111
χ10111111111111-1-111-1-11111111-1-11-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-1
χ11111111111111-1-111-1-11111111-1-11-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1
χ12111111111111-1-111-1-11111111-1-11-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-111111111
χ13111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1111111-1-111-11-1-1-1-1-1-111-1-111111-1
χ14111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1111111-1-1-1-111-111111-1-1-1-111-1-1-11
χ15111111111111-1-111-1-11-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1-1-111-1-111-1-111-11
χ16111111111111-1-111-1-11-1-1-1-1-1-1-1-1-11111-1-111-1-11-11111-1-11111-1-1-1-11-1
χ172222222-2-22-2-2222-2-2-2-20000002-20000000000000002i−2i000000002i−2i00
χ182222222-2-22-2-2222-2-2-2-20000002-2000000000000000−2i2i00000000−2i2i00
χ192222222-2-22-2-2-2-22-222-2000000-220000000000000002i−2i00000000−2i2i00
χ202222222-2-22-2-2-2-22-222-2000000-22000000000000000−2i2i000000002i−2i00
χ21222222-222-22200-2-200-222-2-2-2-2002000022-2-2000-22000000000000000
χ22222222-222-22200-2-200-222-2-2-2-20020000-2-2220002-2000000000000000
χ23222222-222-22200-2-200-2-2-2222200-200002222000-2-2000000000000000
χ24222222-222-22200-2-200-2-2-2222200-20000-2-2-2-200022000000000000000
χ252222-2-222-222-222-2-2-2-222222-2-2-22-222-2-2000000000000000000000000
χ262222-2-222-222-222-2-2-2-22-2-2-2-222-222-2-222000000000000000000000000
χ272222-2-222-222-2-2-2-2-22222222-2-22-2-2-2-222000000000000000000000000
χ282222-2-222-222-2-2-2-2-2222-2-2-2-2222-2222-2-2000000000000000000000000
χ292222-2-22-222-2222-2222-2000000-2-20000000002-2200-200000000000000
χ302222-2-22-222-2222-2222-2000000-2-2000000000-22-200200000000000000
χ312222-2-22-222-22-2-2-22-2-2-2000000220000000002-2-200200000000000000
χ322222-2-22-222-22-2-2-22-2-2-200000022000000000-22200-200000000000000
χ332222-2-2-22-2-22-2002200-222-2-22200-2000000000000000000002i−2i2i−2i0000
χ342222-2-2-22-2-22-2002200-222-2-22200-200000000000000000000−2i2i−2i2i0000
χ352222-2-2-22-2-22-2002200-2-2-222-2-2002000000000000000000002i−2i−2i2i0000
χ362222-2-2-22-2-22-2002200-2-2-222-2-200200000000000000000000−2i2i2i−2i0000
χ37444444-4-4-4-4-4-400-440040000000000000000000000000000000000000
χ384444-4-4-4-44-4-44004-40040000000000000000000000000000000000000
χ3944-4-400400-4004-40000022−2222−220000022−2200000000000000000000000000
χ4044-4-400400-4004-400000−2222−222200000−222200000000000000000000000000
χ4144-4-400400-400-440000022−2222−2200000−222200000000000000000000000000
χ4244-4-400400-400-4400000−2222−22220000022−2200000000000000000000000000
χ4344-4-400-40040000004i−4i022−22−222200000002i2−2i2000000000000000000000000
χ4444-4-400-40040000004i−4i0−222222−220000000−2i22i2000000000000000000000000
χ4544-4-400-4004000000−4i4i022−22−22220000000−2i22i2000000000000000000000000
χ4644-4-400-4004000000−4i4i0−222222−2200000002i2−2i2000000000000000000000000
χ474-44-44-40440-4-4000000000000000000000000000000000022−2200000000
χ484-44-44-40440-4-40000000000000000000000000000000000−222200000000
χ494-44-44-40-4-4044000000000000000000004-40000000000000000000000
χ504-44-44-40-4-404400000000000000000000-440000000000000000000000
χ514-44-4-4404-40-44000000000000000000000000000000002i2−2i20000000000
χ524-44-4-4404-40-4400000000000000000000000000000000−2i22i20000000000
χ534-44-4-440-4404-400000000000000000000004i−4i00000000000000000000
χ544-44-4-440-4404-40000000000000000000000−4i4i00000000000000000000
χ558-8-8800000000000000000004i2−4i20000000000000000000000000000000
χ568-8-880000000000000000000−4i24i20000000000000000000000000000000

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