Finite Group Databasebeta

← Group #274045

Character table — Group #274045

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222222244488888888888888888888161616161616161616161616161616163232
order12222244444444424444444448888888888244448888888888848
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
χ511111111111111111-1-111-1-1111111-1-1-1-1-1-1-11-1-1-1-1111-1-1-11-1-1-111
χ611111111111111111-1-111-1-11111-1-1-1-11111-11-1-1-11-1-1-11111-111-1-1
χ711111111111111111-1-111-1-1-1-1-1-1111111111-11-1-1-1111-1-1-1-1111-1-1
χ811111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-11-11-1-11-1-1-1111-11-1-111
χ9111111111111111-1-111-1-11111-1-111-1-1-1-1-1-1111-1-111-1-11-1-1-1-1111-1
χ10111111111111111-1-111-1-11111-1-1-1-1-1-11111111-1-1-1-111-111-1-1-1-1-11
χ11111111111111111-1-111-1-111-1-11111111111-1-1-1-1-111-1-11-1-111-1-1-11
χ12111111111111111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-11111111-1
χ13111111111111111-1-1-1-1-1-1-1-111-1-111111111-11-111-11-1-1-111-11-1-11-1
χ14111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-11-1111-1111-1-1-1111-11
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
χ17222222-2222-22-2-2-22-2002-2002222000000000-20000000000-200000
χ18222222-2222-22-2-2-22-2002-200-2-2-2-200000000020000000000200000
χ19222222-2222-22-2-2-2-2200-220022-2-2000000000-20000000000200000
χ20222222-2222-22-2-2-2-2200-2200-2-22200000000020000000000-200000
χ21222222-2-2-2-2-2-22-22002-2002-200000000000000000002i−2i02i−2i000000
χ22222222-2-2-2-2-2-22-22002-2002-20000000000000000000−2i2i0−2i2i000000
χ23222222-2-2-2-2-2-22-2200-2200-2200000000000000000002i−2i0−2i2i000000
χ24222222-2-2-2-2-2-22-2200-2200-220000000000000000000−2i2i02i−2i000000
χ252222-2-222-2-2222-2-22200-2-20000000022000020-20000000000-20000
χ262222-2-222-2-2222-2-22200-2-200000000-2-20000-202000000000020000
χ272222-2-222-2-2222-2-2-2-2002200000000220000-2020000000000-20000
χ282222-2-222-2-2222-2-2-2-2002200000000-2-2000020-2000000000020000
χ292222-2-22-2222-2-2-22002200-2-2000022000000000002-200-200000000
χ302222-2-22-2222-2-2-22002200-2-20000-2-200000000000-2200200000000
χ312222-2-22-2222-2-2-2200-2-2002200002200000000000-2-200200000000
χ322222-2-22-2222-2-2-2200-2-200220000-2-2000000000002200-200000000
χ332222-2-2-22-2-2-22-2222-22-2-22-220000000000000002-20000000000000
χ342222-2-2-22-2-2-22-2222-2-22-222-2000000000000000-220000000000000
χ352222-2-2-22-2-2-22-222-222-22-2-22000000000000000-220000000000000
χ362222-2-2-22-2-2-22-222-22-222-22-20000000000000002-20000000000000
χ374444444-4-4-44-4-44-400000000000000000000000000000000000000
χ384444-4-4-4-444-4-444-400000000000000000000000000000000000000
χ3944-4-4004000-4000000000000000022−2222−2222-2-2000000000000000000
χ4044-4-4004000-4000000000000000022−22−2222-2-222000000000000000000
χ4144-4-4004000-40000000000000000−222222−22-2-222000000000000000000
χ4244-4-4004000-40000000000000000−2222−222222-2-2000000000000000000
χ434-44-44-4044-40-4000000000000000000000000000000000000022−2200
χ444-44-44-4044-40-40000000000000000000000000000000000000−222200
χ454-44-44-40-4-440400000000000004i−4i00000000000000000000000000
χ464-44-44-40-4-44040000000000000−4i4i00000000000000000000000000
χ474-44-4-4404-440-4000000000000000000022−2222−22000000000000000000
χ484-44-4-4404-440-40000000000000000000−2222−2222000000000000000000
χ494-44-4-440-44-404000000000004i−4i0000000000000000000000000000
χ504-44-4-440-44-40400000000000−4i4i0000000000000000000000000000
χ5188-8-800-80008000000000000000000000000000000000000000000
χ528-8-8800000000000000000000000000022−22−2222000000000000000000
χ538-8-88000000000000000000000000000−222222−22000000000000000000

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