Finite Group Databasebeta

← Group #247397

Character table — Group #247397

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222444444444444444422222444488888888888888882244444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-111-1-11111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111111111
χ51111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ61111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111
χ71111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-11111
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-11111-1-1-1-1
χ91111111111111111-1-1-1-1-1-111-11111-1-1111111-1-1-1-11111-1-1-1-111-1-1-11-1-111-1-111-1-1
χ101111111111111111-1-1-1-1-1-111-11111-1-111-1-1-1-11111-1-1-1-1111111-1-1-11-1-1-1-111-1-111
χ111111111111111111-1-1-1-1-1-111-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-111111-1-111-1-111
χ121111111111111111-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11111111-1-111-1-1
χ131111111111111111-1-1-1-1-1-111-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1111-1-1-111-1-1-1-111
χ141111111111111111-1-1-1-1-1-111-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111-1-1-111-1-11111-1-1
χ161111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1111-1-1-11111-1-1-1-111
χ172222222222-2-222-2-222-2-2-2-2-2-22002200-2-20000000000000000000000-2200000000
χ182222222222-2-222-2-222-2-2-2-2-2-2200-2-2002200000000000000000000002-200000000
χ192222222222-2-222-2-2-2-22222-2-2-2002200-2-200000000000000000000002-200000000
χ202222222222-2-222-2-2-2-22222-2-2-200-2-200220000000000000000000000-2200000000
χ2122222222-2-222-2-2222222-2-2-2-2-222002200000000000000000000-200-20000000000
χ2222222222-2-222-2-2222222-2-2-2-2-2-2-200-2-20000000000000000000020020000000000
χ2322222222-2-222-2-222-2-2-2-222-2-222200-2-200000000000000000000200-20000000000
χ2422222222-2-222-2-222-2-2-2-222-2-22-2-2002200000000000000000000-20020000000000
χ2522222222-2-2-2-2-2-2-2-222-2-22222-20000000000000000000000002-202-200000000000
χ2622222222-2-2-2-2-2-2-2-222-2-22222-2000000000000000000000000-220-2200000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222-2-22220000000000000000000000002-20-2200000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222-2-2222000000000000000000000000-2202-200000000000
χ29222-2-2-22-2002-2002-22i−2i2i−2i000002-2002i−2i00i2i2−i2−i222−2−2i2i2−i2−i222−2−20000000000000000
χ30222-2-2-22-2002-2002-22i−2i2i−2i000002-2002i−2i00−i2−i2i2i2−2−222−i2−i2i2i2−2−2220000000000000000
χ31222-2-2-22-2002-2002-22i−2i2i−2i00000-2200−2i2i00i2i2−i2−i222−2−2−i2−i2i2i2−2−2220000000000000000
χ32222-2-2-22-2002-2002-22i−2i2i−2i00000-2200−2i2i00−i2−i2i2i2−2−222i2i2−i2−i222−2−20000000000000000
χ33222-2-2-22-2002-2002-2−2i2i−2i2i000002-200−2i2i00i2i2−i2−i2−2−222i2i2−i2−i2−2−2220000000000000000
χ34222-2-2-22-2002-2002-2−2i2i−2i2i000002-200−2i2i00−i2−i2i2i222−2−2−i2−i2i2i222−2−20000000000000000
χ35222-2-2-22-2002-2002-2−2i2i−2i2i00000-22002i−2i00i2i2−i2−i2−2−222−i2−i2i2i222−2−20000000000000000
χ36222-2-2-22-2002-2002-2−2i2i−2i2i00000-22002i−2i00−i2−i2i2i222−2−2i2i2−i2−i2−2−2220000000000000000
χ372-2-2-2-2222-2-22-222-220000002-20002-2002-22-22-2000000000000000000002-2000000
χ382-2-2-2-2222-2-22-222-220000002-20002-2002-2-22-2200000000000000000000-22000000
χ392-2-2-2-2222-2-22-222-220000002-2000-2200-222-22-200000000000000000000-22000000
χ402-2-2-2-2222-2-22-222-220000002-2000-2200-22-22-22000000000000000000002-2000000
χ412-2-2-2-2222-2-2-22222-2000000-220002-200-2200002-22-20000000000000000002-20000
χ422-2-2-2-2222-2-2-22222-2000000-220002-200-220000-22-22000000000000000000-220000
χ432-2-2-2-2222-2-2-22222-2000000-22000-22002-200002-22-2000000000000000000-220000
χ442-2-2-2-2222-2-2-22222-2000000-22000-22002-20000-22-220000000000000000002-20000
χ45444-4-4-44-400-4400-444i−4i−4i4i000000000000000000000000000000000000000000000
χ46444-4-4-44-400-4400-44−4i4i4i−4i000000000000000000000000000000000000000000000
χ4744-44-4-4-440000000000004i−4i00000000000000000002-22-22i−2i2i−2i0000000000000000
χ4844-44-4-4-440000000000004i−4i0000000000000000000-22-22−2i2i−2i2i0000000000000000
χ4944-44-4-4-44000000000000−4i4i00000000000000000002-22-2−2i2i−2i2i0000000000000000
χ5044-44-4-4-44000000000000−4i4i0000000000000000000-22-222i−2i2i−2i0000000000000000
χ5144-4-444-4-44-4004-400000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ5244-4-444-4-44-4004-40000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ5344-4-444-4-4-4400-440000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ5444-4-444-4-4-4400-44000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ554-444-44-4-44-400-44000000000000000000000000000000000000000000000002i2−2i200
χ564-444-44-4-44-400-4400000000000000000000000000000000000000000000000−2i22i200
χ574-444-44-4-4-44004-400000000000000000000000000000000000000000000000002i2−2i2
χ584-444-44-4-4-44004-40000000000000000000000000000000000000000000000000−2i22i2
χ594-4-444-44-4004400-4-4000000000000000002i2−2i2−2i22i20000000000000000000000000000
χ604-4-444-44-4004400-4-400000000000000000−2i22i22i2−2i20000000000000000000000000000
χ614-4-444-44-400-4-4004400000000000000000000022−22−2222000000000000000000000000
χ624-4-444-44-400-4-40044000000000000000000000−222222−22000000000000000000000000
χ634-4-4-4-4444444-4-4-4-44000000-4400000000000000000000000000000000000000000
χ644-4-4-4-444444-44-4-44-40000004-400000000000000000000000000000000000000000
χ658-88-88-8-88000000000000000000000000000000000000000000000000000000000

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