Finite Group Databasebeta

← Group #501113

Character table — Group #501113

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size112224444444444888888888816161616161616161616161616161616161616163232
order12244222224444422244488882244444444444444888848
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111-111-1111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111-1-1-1-1-1-11-1-11-1-111111111-1-1-1-1-1-1
χ5111111111111-1-1111-11-1-111-1-111-1-11-11-11111-1-1-1-11-111-1-1
χ6111111111111-1-1111-11-1-111-1-11-1-1-1-1-11-1-1-1-1-111111-1-1-111
χ7111111111111-1-1111-11-1-1-1-111-11-111-1-11-1-1-1-11111-1111-1-1
χ8111111111111-1-1111-11-1-1-1-111-1-1-11-1-1-111111-1-1-1-1-11-1-111
χ911111-1-111111111-1-11-1111111-11-1-11-1-1-111-1-111-1-111-1-1-11
χ1011111-1-111111111-1-11-1111111-1-1-1-1-1-1-1-1-1-111-1-11111111-1
χ1111111-1-111111111-1-11-111-1-1-1-111-111-111-1-111-1-111-1-1-1-1-11
χ1211111-1-111111111-1-11-111-1-1-1-11-1-11-1-11111-1-111-1-1-1-1111-1
χ1311111-1-111111-1-11-1-1-1-1-1-111-1-1-111111-1111-1-1-1-1111-1-1-11-1
χ1411111-1-111111-1-11-1-1-1-1-1-111-1-1-1-111-11-11-1-11111-1-11-111-11
χ1511111-1-111111-1-11-1-1-1-1-1-1-1-111111-1111-1-1-11111-1-1-11-1-11-1
χ1611111-1-111111-1-11-1-1-1-1-1-1-1-1111-11-1-111-111-1-1-1-111-1111-11
χ1722222222-2-2-2-2222-2-2-22-22000000-20020000000000000000
χ1822222222-2-2-2-2-2-22-2-2222-2000000200-20000000000000000
χ192222222-22-22-200-22-20-20000220002000-2000000000-20000
χ202222222-22-22-200-22-20-20000-2-2000-2000200000000020000
χ212222222-2-22-2200-2-220-2002200200000-2000000000-200000
χ222222222-2-22-2200-2-220-200-2-200-2000002000000000200000
χ2322222-2-22-2-2-2-222222-2-2-22000000200-20000000000000000
χ2422222-2-22-2-2-2-2-2-22222-22-2000000-20020000000000000000
χ2522222-2-2-22-22-200-2-2202000022000-20002000000000-20000
χ2622222-2-2-22-22-200-2-22020000-2-20002000-200000000020000
χ2722222-2-2-2-22-2200-22-202002200-2000002000000000-200000
χ2822222-2-2-2-22-2200-22-20200-2-200200000-2000000000200000
χ29222-2-200-222-2-222200-202-2000000000000002-2002-2000000
χ30222-2-200-222-2-222200-202-200000000000000-2200-22000000
χ31222-2-200-222-2-2-2-220020-22000000000000002-200-22000000
χ32222-2-200-222-2-2-2-220020-2200000000000000-22002-2000000
χ33222-2-200-2-2-2222220020-2-20000000000002i−2i002i−2i00000000
χ34222-2-200-2-2-2222220020-2-2000000000000−2i2i00−2i2i00000000
χ35222-2-200-2-2-222-2-2200-20220000000000002i−2i00−2i2i00000000
χ36222-2-200-2-2-222-2-2200-2022000000000000−2i2i002i−2i00000000
χ37444-4-40044-4-4400-400000000000000000000000000000000
χ38444-4-4004-444-400-400000000000000000000000000000000
χ3944-4-444-40000000000000000000200-200000000000002-200
χ4044-4-444-40000000000000000000-20020000000000000-2200
χ4144-4-44-440000000000000000000200-20000000000000-2200
χ4244-4-44-440000000000000000000-200200000000000002-200
χ4388-88-8000000000000000000000000000000000000000000
χ448-800000000004i−4i000000022−222i2−2i20000000000000000000000
χ458-800000000004i−4i0000000−2222−2i22i20000000000000000000000
χ468-80000000000−4i4i000000022−22−2i22i20000000000000000000000
χ478-80000000000−4i4i0000000−22222i2−2i20000000000000000000000

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