Finite Group Databasebeta

← Group #274037

Character table — Group #274037

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222222244488888888888888888888161616161616161616161616161616163232
order12222244444444422244444448888888888444448888888888828
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-111
χ411111111111111111111-1-11-1-111-1-1-1-11111-1-1-11-11111-1-1-11-111-1-1
χ511111111111111111-1-1-111-111-1-111-1-1-1-1-1-11-1-11111-1-11-1-1-1-1111-1
χ611111111111111111-1-1-111-111-1-1-1-1-1-111111-1-111-1-111-111-1-1-1-1-11
χ711111111111111111-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1111-1-1-11-1-11-1
χ811111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-111-1-1-111-1111-11
χ9111111111111111-1-111111111-1-111-1-1-1-1-1-1-111-1-11111111-1-1-1-1-1-1
χ10111111111111111-1-111111111-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-11111
χ11111111111111111-1-1111-1-11-1-1-1-1111111111-1-1-11-1-1-1-1111-1111-1-1
χ12111111111111111-1-1111-1-11-1-1-1-1-1-111-1-1-1-11-1-1-111111-1-1-1-11-1-111
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
χ15111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-11-1-1111-1-11-111-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1111-1-1-1111-1-1-11-1
χ1722222222-2-222-2-2-22222-200-200-2-200000000000-200000000200000
χ1822222222-2-222-2-2-222-2-22002002200000000000-200000000-200000
χ1922222222-2-222-2-2-2-2-222-200-2002200000000000200000000-200000
χ2022222222-2-222-2-2-2-2-2-2-2200200-2-200000000000200000000200000
χ21222222-2-2-2-2-2-222-2000002-202-2000000000000000002i−2i02i−2i000000
χ22222222-2-2-2-2-2-222-2000002-202-200000000000000000−2i2i0−2i2i000000
χ23222222-2-2-2-2-2-222-200000-220-22000000000000000002i−2i0−2i2i000000
χ24222222-2-2-2-2-2-222-200000-220-2200000000000000000−2i2i02i−2i000000
χ252222-2-22-2222-2-22-200000220-2-2002200000000000-2200-200000000
χ262222-2-22-2222-2-22-200000220-2-200-2-2000000000002-200200000000
χ272222-2-22-2222-2-22-200000-2-20220022000000000002-200-200000000
χ282222-2-22-2222-2-22-200000-2-202200-2-200000000000-2200200000000
χ292222-2-2-2222-222-2-2002-2-20020000002200002000-200000000-20000
χ302222-2-2-2222-222-2-2002-2-2002000000-2-20000-200020000000020000
χ312222-2-2-2222-222-2-200-22200-2000000220000-2000200000000-20000
χ322222-2-2-2222-222-2-200-22200-2000000-2-200002000-20000000020000
χ332222-2-2-22-2-2-22-222002-222-2-2-22000000000002-2000000000000000
χ342222-2-2-22-2-2-22-222002-22-22-22-200000000000-22000000000000000
χ352222-2-2-22-2-2-22-22200-22-22-22-2200000000000-22000000000000000
χ362222-2-2-22-2-2-22-22200-22-2-2222-2000000000002-2000000000000000
χ37444444-4-444-4-4-4-4400000000000000000000000000000000000000
χ384444-4-44-4-4-44-44-4400000000000000000000000000000000000000
χ3944-4-44-44400-4-400000000000000000002222−22−22000000000000000000
χ4044-4-44-44400-4-40000000000000000000−22−222222000000000000000000
χ4144-4-44-4-4-400440004-4000000000000000000000000000000000000
χ4244-4-44-4-4-40044000-44000000000000000000000000000000000000
χ4344-4-4-444-400-4400000000000004i−4i00000000000000000000000000
χ4444-4-4-444-400-440000000000000−4i4i00000000000000000000000000
χ4544-4-4-44-44004-400000000000000000000000000000000000002i2−2i200
χ4644-4-4-44-44004-40000000000000000000000000000000000000−2i22i200
χ474-4-4400004-40000000000000000022−222i2−2i22i−2i2i−2i000000000000000000
χ484-4-4400004-40000000000000000022−22−2i22i2−2i2i−2i2i000000000000000000
χ494-4-4400004-400000000000000000−22222i2−2i2−2i2i−2i2i000000000000000000
χ504-4-4400004-400000000000000000−2222−2i22i22i−2i2i−2i000000000000000000
χ518-88-80000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ528-88-8000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ538-8-880000-880000000000000000000000000000000000000000000

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