Finite Group Databasebeta

← Group #257929

Character table — Group #257929

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222444444444444444424444444488888888888888884444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1
χ311111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-11111
χ51111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1
χ61111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111111-111-1-1-1-1
χ91111111111111111-1-1-1-1-1-111-111-1-111111111-1-1-1-11111-1-1-1-11-1-1-1-111-1-1-11111-1-1
χ101111111111111111-1-1-1-1-1-111-111-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-111-111-1-111
χ111111111111111111-1-1-1-1-1-111-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-111-1-1-1-1-111
χ121111111111111111-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111-1-1-1-1-111-1-1
χ131111111111111111-1-1-1-1-1-111-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-11111-1-11-1-1-1-111
χ141111111111111111-1-1-1-1-1-111-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-111-1-1111-1-111-1-1
χ151111111111111111-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-1-11111111-1-1
χ161111111111111111-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-111-1-1111-1-111
χ172222222222-2-222-2-222-2-222-2-2-2222200000000000000000000-200000000-2000000
χ182222222222-2-222-2-222-2-222-2-2-2-2-2-2-2000000000000000000002000000002000000
χ192222222222-2-222-2-2-2-222-2-2-2-2222-2-200000000000000000000-2000000002000000
χ202222222222-2-222-2-2-2-222-2-2-2-22-2-22200000000000000000000200000000-2000000
χ2122222222-2-222-2-2222222-2-2-2-2-2000022-2-200000000000000000-220000000000000
χ2222222222-2-222-2-2222222-2-2-2-2-20000-2-222000000000000000002-20000000000000
χ2322222222-2-222-2-222-2-2-2-222-2-22000022-2-2000000000000000002-20000000000000
χ2422222222-2-222-2-222-2-2-2-222-2-220000-2-22200000000000000000-220000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2-2-22220000000000000000000000000002-2000002-20000
χ2622222222-2-2-2-2-2-2-2-222-2-2-2-2222000000000000000000000000000-2200000-220000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222-20000000000000000000000000002-200000-220000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222-2000000000000000000000000000-22000002-20000
χ29222-22-2-2-22-2-2-22-2220000002-2000002i−2i2i−2i000022-2-20000000000000002i−2i0000000
χ30222-22-2-2-22-2-2-22-2220000002-2000002i−2i2i−2i0000-2-222000000000000000−2i2i0000000
χ31222-22-2-2-22-2-2-22-2220000002-200000−2i2i−2i2i000022-2-2000000000000000−2i2i0000000
χ32222-22-2-2-22-2-2-22-2220000002-200000−2i2i−2i2i0000-2-2220000000000000002i−2i0000000
χ33222-22-2-2-2-22-2-2-2222000000-22000002i−2i−2i2i22-2-2000000000000000002i−2i000000000
χ34222-22-2-2-2-22-2-2-2222000000-22000002i−2i−2i2i-2-22200000000000000000−2i2i000000000
χ35222-22-2-2-2-22-2-2-2222000000-2200000−2i2i2i−2i22-2-200000000000000000−2i2i000000000
χ36222-22-2-2-2-22-2-2-2222000000-2200000−2i2i2i−2i-2-222000000000000000002i−2i000000000
χ3722-2-2-22-222-200-22002i−2i002i−2i0002-22i−2i0000i2−i2i2−i22−22−2i2i2−i2−i222−2−20000000000000000
χ3822-2-2-22-222-200-22002i−2i002i−2i0002-22i−2i0000−i2i2−i2i2−22−22−i2−i2i2i2−2−2220000000000000000
χ3922-2-2-22-222-200-22002i−2i002i−2i000-22−2i2i0000i2−i2i2−i22−22−2−i2−i2i2i2−2−2220000000000000000
χ4022-2-2-22-222-200-22002i−2i002i−2i000-22−2i2i0000−i2i2−i2i2−22−22i2i2−i2−i222−2−20000000000000000
χ4122-2-2-22-222-200-2200−2i2i00−2i2i0002-2−2i2i0000i2−i2i2−i2−22−22i2i2−i2−i2−2−2220000000000000000
χ4222-2-2-22-222-200-2200−2i2i00−2i2i0002-2−2i2i0000−i2i2−i2i22−22−2−i2−i2i2i222−2−20000000000000000
χ4322-2-2-22-222-200-2200−2i2i00−2i2i000-222i−2i0000i2−i2i2−i2−22−22−i2−i2i2i222−2−20000000000000000
χ4422-2-2-22-222-200-2200−2i2i00−2i2i000-222i−2i0000−i2i2−i2i22−22−2i2i2−i2−i2−2−2220000000000000000
χ45444-44-4-4-44-4444-4-4-4000000-4400000000000000000000000000000000000000000
χ46444-44-4-4-4-4444-44-4-40000004-400000000000000000000000000000000000000000
χ4744-44-4-44-44400-4-40000000000000000000000022−22−2222000000000000000000000000
χ4844-44-4-44-44400-4-400000000000000000000000−222222−22000000000000000000000000
χ4944-44-4-44-4-4-4004400000000000000000002i2−2i2−2i22i20000000000000000000000000000
χ5044-44-4-44-4-4-400440000000000000000000−2i22i22i2−2i20000000000000000000000000000
χ5144-4-4-44-44-44004-4004i−4i00−4i4i0000000000000000000000000000000000000000000
χ5244-4-4-44-44-44004-400−4i4i004i−4i0000000000000000000000000000000000000000000
χ534-44-4-4-44400000000004i−4i0000000000000000000002-22-22i−2i2i−2i0000000000000000
χ544-44-4-4-44400000000004i−4i000000000000000000000-22-22−2i2i−2i2i0000000000000000
χ554-44-4-4-4440000000000−4i4i0000000000000000000002-22-2−2i2i−2i2i0000000000000000
χ564-44-4-4-4440000000000−4i4i000000000000000000000-22-222i−2i2i−2i0000000000000000
χ574-4-444-4-44004-4004-400000000000000000000000002i2−2i2−2i22i200000000000000000000
χ584-4-444-4-44004-4004-40000000000000000000000000−2i22i22i2−2i200000000000000000000
χ594-4-444-4-4400-4400-44000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ604-4-444-4-4400-4400-4400000000000000000000000000000−2i22i22i2−2i20000000000000000
χ614-4-4-4444-4004-400-44000000000000000000000000000000000000000000000002i2−2i2
χ624-4-4-4444-4004-400-4400000000000000000000000000000000000000000000000−2i22i2
χ634-4-4-4444-400-44004-40000000000000000000000000000000000000000000002i2−2i200
χ644-4-4-4444-400-44004-4000000000000000000000000000000000000000000000−2i22i200
χ658-888-88-8-8000000000000000000000000000000000000000000000000000000000

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