Finite Group Databasebeta

← Group #274020

Character table — Group #274020

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222222244488888888888888888888161616161616161616161616161616163232
order12222244444444422244444448888888888222448888888888828
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-11-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-111-1-1-11111-1-1-1-1-1-1-1-1-1-1111-111-1-11-1-1-1111-1
χ611111111111111111-111-1-1-111-1-1-1-1-1-11111-1-1111-1-1-111-111-1-1-1-11
χ711111111111111111-111-1-1-1-1-11111111111-1-1-1-1-1111-1-11-1-11-1-1-11
χ811111111111111111-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1111111-1
χ9111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-11-1-11-1111-1-1-1-1-1-111
χ10111111111111111-1-11-1-111111-1-111-1-11111-1-11-1-111-1-1-1111-111-1-1
χ11111111111111111-1-11-1-1111-1-111-1-1111111-1-1-111-1-1111-1-1-1111-1-1
χ12111111111111111-1-11-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-111-11-1-1-11111-1-111
χ13111111111111111-1-1-1-1-1-1-1-11111-1-1111111111-1-1-1-11-1-1-1111-1-11-1
χ14111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111-1-1-11-1111-1-1111-11
χ15111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1111-11-1-1-111-111-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-11111-1111-1-1-1-1-11-1
χ172222222-222-22-2-2-2002002-2-222002200000000-200-2000000000000
χ182222222-222-22-2-2-2002002-2-2-2-200-2-2000000002002000000000000
χ192222222-222-22-2-2-200-200-2222200-2-200000000-2002000000000000
χ202222222-222-22-2-2-200-200-222-2-2002200000000200-2000000000000
χ21222222-2-2-2-2-2-222-22-202-2000000000000000000000002i−2i02i−2i00000
χ22222222-2-2-2-2-2-222-22-202-200000000000000000000000−2i2i0−2i2i00000
χ23222222-2-2-2-2-2-222-2-220-22000000000000000000000002i−2i0−2i2i00000
χ24222222-2-2-2-2-2-222-2-220-2200000000000000000000000−2i2i02i−2i00000
χ252222-2-222-2-2222-2-200200-2-22000000220000000-2200000000-20000
χ262222-2-222-2-2222-2-200200-2-22000000-2-200000002-20000000020000
χ272222-2-222-2-2222-2-200-20022-20000002200000002-200000000-20000
χ282222-2-222-2-2222-2-200-20022-2000000-2-20000000-220000000020000
χ292222-2-22-2-2-2-22-2222-22-22-22-20000000000002-20000000000000000
χ302222-2-22-2-2-2-22-2222-2-2-222-22000000000000-220000000000000000
χ312222-2-22-2-2-2-22-222-2222-2-22-2000000000000-220000000000000000
χ322222-2-22-2-2-2-22-222-22-22-22-220000000000002-20000000000000000
χ332222-2-2-22222-2-22-2220-2-2000002200000000000000-2-20020000000
χ342222-2-2-22222-2-22-2220-2-200000-2-2000000000000002200-20000000
χ352222-2-2-22222-2-22-2-2-20220000022000000000000002-200-20000000
χ362222-2-2-22222-2-22-2-2-202200000-2-200000000000000-220020000000
χ37444444-44-4-44-4-4-4400000000000000000000000000000000000000
χ384444-4-4-4-444-4-44-4400000000000000000000000000000000000000
χ3944-4-44-4404-40-40000000000000004i−4i000000000000000000000000
χ4044-4-44-4404-40-4000000000000000−4i4i000000000000000000000000
χ4144-4-44-4-40-4404000000000000000000000000000000000000022−2200
χ4244-4-44-4-40-44040000000000000000000000000000000000000−222200
χ4344-4-4-4440-440-4000000000004i−4i0000000000000000000000000000
χ4444-4-4-4440-440-400000000000−4i4i0000000000000000000000000000
χ4544-4-4-44-404-40400000000000000000002222−22−22000000000000000000
χ4644-4-4-44-404-4040000000000000000000−22−222222000000000000000000
χ474-4-44000-40040000000000000022−220022−222-22-2000000000000000000
χ484-4-44000-40040000000000000022−2200−2222-22-22000000000000000000
χ494-4-44000-400400000000000000−22220022−22-22-22000000000000000000
χ504-4-44000-400400000000000000−222200−22222-22-2000000000000000000
χ518-88-800000000000000000000000000022−22−2222000000000000000000
χ528-88-8000000000000000000000000000−222222−22000000000000000000
χ538-8-88000800-8000000000000000000000000000000000000000000

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