Finite Group Databasebeta

← Group #274054

Character table — Group #274054

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222222244488888888888888888888161616161616161616161616161616163232
order12222244444444424444444448888888888444448888888888828
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111-1-11-1-11111-1-1-1-1-1-1-11-1-1-1-1111-1-1-11-1-1-111
χ411111111111111111111-1-11-1-111-1-1-1-11111-11-1-1-11-1-1-11111-111-1-1
χ511111111111111111-1-1111111-1-111-1-1-1-1-1-1-1-111-11111111-1-1-1-1-1-1
χ611111111111111111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111-1-11-1-11-1-1-1-1111111111-1-1-11-1111-1-1-1-1111-1-1
χ811111111111111111-1-11-1-11-1-1-1-1-1-111-1-1-1-11-1-1-111-1-1-1111-11-1-111
χ9111111111111111-1-111-111-111-1-111-1-1-1-1-1-111-1-1111-1-11-1-1-1-1111-1
χ10111111111111111-1-111-111-111-1-1-1-1-1-1111111-1-11-1-111-111-1-1-1-1-11
χ11111111111111111-1-111-1-1-1-1-1-1-1-111111111-1111-1-11-1-1-111-11-1-11-1
χ12111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-11-1111-1-1-1111-11
χ13111111111111111-1-1-1-1-111-1111111111111-1-1-1-1-111-1-11-1-111-1-1-11
χ14111111111111111-1-1-1-1-111-11111-1-111-1-1-1-1-1-1-1-1-1-1-111-11111111-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1111-11-1-1-1111-111-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11111-1111-1-11-1-1-11-1
χ172222222-222-22-2-2-22222-200-20022000000000-20000000000-200000
χ182222222-222-22-2-2-222-2-2-200-200-2-200000000020000000000200000
χ192222222-222-22-2-2-2-2-222200200-2-2000000000-20000000000200000
χ202222222-222-22-2-2-2-2-2-2-22002002200000000020000000000-200000
χ21222222-2-2-2-2-2-22-22000002-202-2000000000000000002i−2i02i−2i000000
χ22222222-2-2-2-2-2-22-22000002-202-200000000000000000−2i2i0−2i2i000000
χ23222222-2-2-2-2-2-22-2200000-220-22000000000000000002i−2i0−2i2i000000
χ24222222-2-2-2-2-2-22-2200000-220-2200000000000000000−2i2i02i−2i000000
χ252222-2-222-2-2222-2-22-200200-20000002200002000-200000000-20000
χ262222-2-222-2-2222-2-22-200200-2000000-2-20000-200020000000020000
χ272222-2-222-2-2222-2-2-2200-2002000000220000-2000200000000-20000
χ282222-2-222-2-2222-2-2-2200-2002000000-2-200002000-20000000020000
χ292222-2-22-2-2-2-22-2222-200-22-22-220000000000002-200000000000000
χ302222-2-22-2-2-2-22-2222-200-2-2222-2000000000000-2200000000000000
χ312222-2-22-2-2-2-22-222-220022-2-2-22000000000000-2200000000000000
χ322222-2-22-2-2-2-22-222-22002-22-22-20000000000002-200000000000000
χ332222-2-2-22222-2-2-2200000220-2-20022000000000002-200-200000000
χ342222-2-2-22222-2-2-2200000220-2-200-2-200000000000-2200200000000
χ352222-2-2-22222-2-2-2200000-2-2022002200000000000-2-200200000000
χ362222-2-2-22222-2-2-2200000-2-202200-2-2000000000002200-200000000
χ37444444-44-4-44-4-44-400000000000000000000000000000000000000
χ384444-4-4-4-444-4-444-400000000000000000000000000000000000000
χ3944-4-44-4404-40-400000000000004-400000000000000000000000000
χ4044-4-44-4404-40-40000000000000-4400000000000000000000000000
χ4144-4-44-4-40-440400000000000000000000000000000000000002i2−2i200
χ4244-4-44-4-40-44040000000000000000000000000000000000000−2i22i200
χ4344-4-4-4440-440-4000004-40000000000000000000000000000000000
χ4444-4-4-4440-440-400000-440000000000000000000000000000000000
χ4544-4-4-44-404-40400000000000000000002i22i2−2i2−2i2000000000000000000
χ4644-4-4-44-404-4040000000000000000000−2i2−2i22i22i2000000000000000000
χ474-44-4000-400400000000000000002i2−2i222−222i−2i2i−2i000000000000000000
χ484-44-4000-400400000000000000002i2−2i2−2222−2i2i−2i2i000000000000000000
χ494-44-4000-40040000000000000000−2i22i222−22−2i2i−2i2i000000000000000000
χ504-44-4000-40040000000000000000−2i22i2−22222i−2i2i−2i000000000000000000
χ518-88-8000800-8000000000000000000000000000000000000000000
χ528-8-8800000000000000000000000000022−22−2222000000000000000000
χ538-8-88000000000000000000000000000−222222−22000000000000000000

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