Finite Group Databasebeta

← Group #486341

Character table — Group #486341

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1122222444444444888888881616161616161616161616161616161616161616163232
order1224488222444448244888882222444444448161616161616161688
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111-1-111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-111-1-1-1-11-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1
χ5111111111111-1-111-1-1-1-1-11111-1111-11111-1-1-11111-1-1-1-1-1-1
χ6111111111111-1-111-1-1-1-1-11111-1-1-11-1-1-111-1-1-1-1-1-1-1111111
χ7111111111111-1-111-1-1-1-1-1111-1111-1111-1-111-1-1-1-1-11111-1-1
χ8111111111111-1-111-1-1-1-1-1111-11-1-1-11-1-1-1-111-11111-1-1-1-111
χ911111-1-11-1-1-1-1111-1-1-11-1-1-111111-1-1-11-11-11-1111-1-111-1-11-1
χ1011111-1-11-1-1-1-1111-1-1-11-1-1-11111-11-1-1-111-11-11-1-111-1-111-11
χ1111111-1-11-1-1-1-1111-1-1-11-1-1-111-1-11-1111-1-11-111-1-111-1-1111-1
χ1211111-1-11-1-1-1-1111-1-1-11-1-1-111-1-1-1111-11-11-11111-1-111-1-1-11
χ1311111-1-11-1-1-1-1-1-11-111-111-1111-11-1-111-11-1-11-111-1-1-1-111-11
χ1411111-1-11-1-1-1-1-1-11-111-111-1111-1-11-11-111-1-11-1-1-11111-1-11-1
χ1511111-1-11-1-1-1-1-1-11-111-111-111-111-11-11-1-111-1-1-1-11111-1-1-11
χ1611111-1-11-1-1-1-1-1-11-111-111-111-11-111-1-11-111-1-111-1-1-1-1111-1
χ1722222222-2-2-2-22222-2-22222-2-2000000000000-20000000000
χ1822222222-2-2-2-2-2-22222-2-2-22-2-200000000000020000000000
χ192222222-22-22-200-2200000-22-20200020000-2-200000000000
χ202222222-22-22-200-2200000-22-20-2000-200002200000000000
χ212222222-2-22-2200-2200000-2-2220002000-2-20000000000000
χ222222222-2-22-2200-2200000-2-22-2000-2000220000000000000
χ2322222-2-222222222-2222-2-2-2-2-2000000000000-20000000000
χ2422222-2-222222-2-22-2-2-2-222-2-2-200000000000020000000000
χ2522222-2-2-22-22-200-2-2000002-222000-2000-220000000000000
χ2622222-2-2-22-22-200-2-2000002-22-200020002-20000000000000
χ2722222-2-2-2-22-2200-2-20000022-202000-20000-2200000000000
χ2822222-2-2-2-22-2200-2-20000022-20-2000200002-200000000000
χ29222-2-200-222-2-222202-2-20000000000000000002−22−22−22−200
χ30222-2-200-222-2-222202-2-2000000000000000000−22−22−22−2200
χ31222-2-200-222-2-2-2-220-2220000000000000000002−22−2−22−2200
χ32222-2-200-222-2-2-2-220-222000000000000000000−22−222−22−200
χ33222-2-200-2-2-2222220-22-20000000000000000002−2−222−2−2200
χ34222-2-200-2-2-2222220-22-2000000000000000000−222−2−222−200
χ35222-2-200-2-2-222-2-2202-220000000000000000002−2−22−222−200
χ36222-2-200-2-2-222-2-2202-22000000000000000000−222−22−2−2200
χ37444-4-40044-4-4400-400000000000000000000000000000000
χ38444-4-4004-444-400-400000000000000000000000000000000
χ3944-4-444400000000-400000000002-200-22000000000000000
χ4044-4-444400000000-40000000000-22002-2000000000000000
χ4144-4-44-4-400000000400000000002200-2-2000000000000000
χ4244-4-44-4-40000000040000000000-2-20022000000000000000
χ4388-88-8000000000000000000000000000000000000000000
χ448-80004i2−4i2000004-4000002i2−2i200000000000000000000000000
χ458-80004i2−4i200000-4400000−2i22i200000000000000000000000000
χ468-8000−4i24i2000004-400000−2i22i200000000000000000000000000
χ478-8000−4i24i200000-44000002i2−2i200000000000000000000000000

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