Finite Group Databasebeta

← Group #274009

Character table — Group #274009

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222222244488888888888888888888161616161616161616161616161616163232
order12222244444444424444444448888888888444448888888888848
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-11111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1
χ311111111111111111111-1-11-1-11111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-111
χ411111111111111111111-1-11-1-1-1-111-1-111111-1-1-1-11-1-1-11-111111-1-1
χ511111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-11111-1-1111-1-1-1-1
χ611111111111111111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111-1-11-1-11-1-111-1-1111111-11-1-11-1111-11-1-1-111-1-1
χ811111111111111111-1-11-1-11-1-1-1-1-1-111-1-1-1-1-11-1-111-1-1-1-11111-1-111
χ9111111111111111-1-111-111-11111-1-1-1-1-1-1-1-111-1-1111-1-1-1-11-1-1111-1
χ10111111111111111-1-111-111-111-1-1-1-1-1-1111111-1-11-1-111-1-1-111-1-1-11
χ11111111111111111-1-111-1-1-1-1-1-111-1-11111111-111-1-11-1-1-11-111-1-11-1
χ12111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-11-111-111-1-111-11
χ13111111111111111-1-1-1-1-111-1111111111111-1-1-1-1-111-1-1111-1-1-1-1-11
χ14111111111111111-1-1-1-1-111-111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-111111-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-11-1-11-1-11111-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111111-1111-11-1-1-1-11-1
χ17222222-22222-2-2-2-22222-200-2000022000000-200000000-200000000
χ18222222-22222-2-2-2-222-2-2-200-20000-2-2000000200000000200000000
χ19222222-22222-2-2-2-2-2-22220020000-2-2000000-200000000200000000
χ20222222-22222-2-2-2-2-2-2-2-22002000022000000200000000-200000000
χ21222222-2-2-2-2-2-222-2000002-202-2000000000000000002i−2i0002i−2i0000
χ22222222-2-2-2-2-2-222-2000002-202-200000000000000000−2i2i000−2i2i0000
χ23222222-2-2-2-2-2-222-200000-220-22000000000000000002i−2i000−2i2i0000
χ24222222-2-2-2-2-2-222-200000-220-2200000000000000000−2i2i0002i−2i0000
χ252222-2-2222-2-22-22-200000220-2-22200000000000002-20000-2000000
χ262222-2-2222-2-22-22-200000220-2-2-2-20000000000000-2200002000000
χ272222-2-2222-2-22-22-200000-2-2022220000000000000-2-200002000000
χ282222-2-2222-2-22-22-200000-2-2022-2-20000000000000220000-2000000
χ292222-2-22-2-22222-2-22-200-20020000002200000200-200000-20000000
χ302222-2-22-2-22222-2-22-200-2002000000-2-200000-20020000020000000
χ312222-2-22-2-22222-2-2-2200200-20000002200000-200200000-20000000
χ322222-2-22-2-22222-2-2-2200200-2000000-2-200000200-20000020000000
χ332222-2-2-2-2-222-2-2222-20022-2-2-220000000000002-200000000000000
χ342222-2-2-2-2-222-2-2222-2002-22-22-2000000000000-2200000000000000
χ352222-2-2-2-2-222-2-222-2200-22-22-22000000000000-2200000000000000
χ362222-2-2-2-2-222-2-222-2200-2-2222-20000000000002-200000000000000
χ374444444-4-4-4-44-4-4400000000000000000000000000000000000000
χ384444-4-4-444-4-4-44-4400000000000000000000000000000000000000
χ3944-4-44-404-44-4000000000000000000002222−22−22000000000000000000
χ4044-4-44-404-44-400000000000000000000−22−222222000000000000000000
χ4144-4-44-40-44-440000004-40000000000000000000000000000000000
χ4244-4-44-40-44-44000000-440000000000000000000000000000000000
χ4344-4-4-4404-4-4400000000000000004-4000000000000000000000000
χ4444-4-4-4404-4-440000000000000000-44000000000000000000000000
χ4544-4-4-440-444-40000000000000000000000000000000000000022−2200
χ4644-4-4-440-444-400000000000000000000000000000000000000−222200
χ474-4-440040000-400000000000002i2−2i2002i2−2i22-22-2000000000000000000
χ484-4-440040000-400000000000002i2−2i200−2i22i2-22-22000000000000000000
χ494-4-440040000-40000000000000−2i22i2002i2−2i2-22-22000000000000000000
χ504-4-440040000-40000000000000−2i22i200−2i22i22-22-2000000000000000000
χ518-88-800000000000000000000000000022−22−2222000000000000000000
χ528-88-8000000000000000000000000000−222222−22000000000000000000
χ538-8-8800-80000800000000000000000000000000000000000000000

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