Finite Group Databasebeta

← Group #274041

Character table — Group #274041

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222222244488888888888888888888161616161616161616161616161616163232
order12222244444444424444444448888888888444448888888888848
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-11-1-11111111-1-1-1-1-1-1-11-1-1-1-1-1-1-11111-1-1-111
χ611111111111111111-1-11-1-111111-1-1-1-11111-11-1-1-11111-1-1-11-111-1-1
χ711111111111111111-1-11-1-11-1-1-1-1111111111-11-1-1-1-1-1-1111-1111-1-1
χ811111111111111111-1-11-1-11-1-1-1-1-1-111-1-1-1-11-11-1-11111-1-1-1-11-1-111
χ9111111111111111-1-111-111-111-1-111-1-1-1-1-1-1111-1-111-1-11-1-1-1-1111-1
χ10111111111111111-1-111-111-111-1-1-1-1-1-11111111-1-1-1-111-111-1-1-1-1-11
χ11111111111111111-1-111-111-1-1-11111111111-1-1-1-1-111-1-11-1-111-1-1-11
χ12111111111111111-1-111-111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-11111111-1
χ13111111111111111-1-1-1-1-1-1-1-111-1-111111111-11-111-1-1111-1-1-11-1-11-1
χ14111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-11-11111-1-1-111-1111-11
χ15111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1111-1-1111-1-11-111-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-111111-1-1-1111-1-1-11-1
χ172222222-22-222-2-2-22-200-200222-2-2000000000-20000000000200000
χ182222222-22-222-2-2-22-200-2002-2-22200000000020000000000-200000
χ192222222-22-222-2-2-2-2200200-22222000000000-20000000000-200000
χ202222222-22-222-2-2-2-2200200-2-2-2-2-200000000020000000000200000
χ21222222-2-2-2-2-2-22-22002-202-2000000000000000000002i−2i02i−2i000000
χ22222222-2-2-2-2-2-22-22002-202-200000000000000000000−2i2i0−2i2i000000
χ23222222-2-2-2-2-2-22-2200-220-22000000000000000000002i−2i0−2i2i000000
χ24222222-2-2-2-2-2-22-2200-220-2200000000000000000000−2i2i02i−2i000000
χ252222-2-222-222-2-2-2200220-2-20000022000000000002-200-200000000
χ262222-2-222-222-2-2-2200220-2-200000-2-200000000000-2200200000000
χ272222-2-222-222-2-2-2200-2-2022000002200000000000-2200-200000000
χ282222-2-222-222-2-2-2200-2-202200000-2-2000000000002-200200000000
χ292222-2-2-2222-222-2-22200-200-200000022000020-20000000000-20000
χ302222-2-2-2222-222-2-22200-200-2000000-2-20000-202000000000020000
χ312222-2-2-2222-222-2-2-2-2002002000000220000-2020000000000-20000
χ322222-2-2-2222-222-2-2-2-2002002000000-2-2000020-2000000000020000
χ332222-2-2-2-22-2-22-2222-22-22-22-20000000000000002-20000000000000
χ342222-2-2-2-22-2-22-2222-2-2222-2-2000000000000000-220000000000000
χ352222-2-2-2-22-2-22-222-222-2-2-222000000000000000-220000000000000
χ362222-2-2-2-22-2-22-222-22-22-22-220000000000000002-20000000000000
χ37444444-44-44-4-4-44-400000000000000000000000000000000000000
χ384444-4-44-4-4-44-444-400000000000000000000000000000000000000
χ3944-4-400040-40000000000000000022−2222−2222-2-2000000000000000000
χ4044-4-400040-40000000000000000022−22−2222-2-222000000000000000000
χ4144-4-400040-400000000000000000−222222−22-2-222000000000000000000
χ4244-4-400040-400000000000000000−2222−222222-2-2000000000000000000
χ434-4-444-44040-4-4000000000000000000022−2222−22000000000000000000
χ444-4-444-44040-4-40000000000000000000−2222−2222000000000000000000
χ454-4-444-4-40-4044000000000004-40000000000000000000000000000
χ464-4-444-4-40-404400000000000-440000000000000000000000000000
χ474-4-44-4440-40-4400000000000004i−4i00000000000000000000000000
χ484-4-44-4440-40-440000000000000−4i4i00000000000000000000000000
χ494-4-44-44-40404-400000000000000000000000000000000000002i2−2i200
χ504-4-44-44-40404-40000000000000000000000000000000000000−2i22i200
χ5188-8-8000-8080000000000000000000000000000000000000000000
χ528-88-800000000000000000000000000022−22−2222000000000000000000
χ538-88-8000000000000000000000000000−222222−22000000000000000000

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