Finite Group Databasebeta

← Group #280202

Character table — Group #280202

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-11111111111111111-1-1-1-1-11-1-1-1-1-1-111-1
χ411111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-111-1-1-1111-1-111-1-1-1
χ61111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111
χ71111111111111111111111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-111-1-11111-1
χ91111111111111111-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111
χ101111111111111111-1-1-1-11111111111-1-111-1-1111111-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-111-111111-1-1-1-1-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-111111
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11-11111-1-111-1
χ17222222222-222-2-2-220000-2-2222222-2-200-2-200-2-2000000000000000020000000000
χ18222222222-222-2-2-220000-2-22222-2-222002200-2-20000000000000000-20000000000
χ19222222222-222-2-2-220000-2-2-2-2-2-2222200-2-200220000000000000000-20000000000
χ20222222222-222-2-2-220000-2-2-2-2-2-2-2-2-2-200220022000000000000000020000000000
χ2122222222-22-2-2222-22222-2-200000000-2-200220022-2-20000000000000-2000000000
χ2222222222-22-2-2222-22222-2-200000000-2-200-2-200-2-22200000000000002000000000
χ2322222222-22-2-2222-2-2-2-2-2-2-20000000022002200-2-2220000000000000-2000000000
χ2422222222-22-2-2222-2-2-2-2-2-2-2000000002200-2-20022-2-200000000000002000000000
χ25222-2-2-22-20-200-222022-2-20022−2−2000000002i−2i2−22i−2i0022−2−2i2i2−i2−i2000000000000i2−i20
χ26222-2-2-22-20-200-222022-2-20022−2−200000000−2i2i2−2−2i2i0022−2−2−i2−i2i2i2000000000000−i2i20
χ27222-2-2-22-20-200-222022-2-200−2−222000000002i−2i−222i−2i00−2−222−i2−i2i2i2000000000000−i2i20
χ28222-2-2-22-20-200-222022-2-200−2−22200000000−2i2i−22−2i2i00−2−222i2i2−i2−i2000000000000i2−i20
χ29222-2-2-22-20-200-2220-2-2220022−2−2000000002i−2i2−2−2i2i00−2−222−i2−i2i2i2000000000000i2−i20
χ30222-2-2-22-20-200-2220-2-2220022−2−200000000−2i2i2−22i−2i00−2−222i2i2−i2−i2000000000000−i2i20
χ31222-2-2-22-20-200-2220-2-22200−2−222000000002i−2i−22−2i2i0022−2−2i2i2−i2−i2000000000000−i2i20
χ32222-2-2-22-20-200-2220-2-22200−2−22200000000−2i2i−222i−2i0022−2−2−i2−i2i2i2000000000000i2−i20
χ332-2-2-22-22222-2-2-22-222i−2i2i−2i2-2000000002i−2i0000000000000000000000002-2002i−2i000
χ342-2-2-22-22222-2-2-22-222i−2i2i−2i2-2000000002i−2i000000000000000000000000-2200−2i2i000
χ352-2-2-22-22222-2-2-22-22−2i2i−2i2i2-200000000−2i2i0000000000000000000000002-200−2i2i000
χ362-2-2-22-22222-2-2-22-22−2i2i−2i2i2-200000000−2i2i000000000000000000000000-22002i−2i000
χ372-2-2-22-222-2222-22-2-22i−2i2i−2i-2200002-200−2i2i2-200000000000000002i−2i0000000000000
χ382-2-2-22-222-2222-22-2-22i−2i2i−2i-220000-2200−2i2i-220000000000000000−2i2i0000000000000
χ392-2-2-22-222-2222-22-2-2−2i2i−2i2i-2200002-2002i−2i2-20000000000000000−2i2i0000000000000
χ402-2-2-22-222-2222-22-2-2−2i2i−2i2i-220000-22002i−2i-2200000000000000002i−2i0000000000000
χ412-2-2-22-222-2-2222-22-200002-200002-20000-22000000002i−2i2i−2i0000002i−2i00000000000
χ422-2-2-22-222-2-2222-22-200002-200002-20000-2200000000−2i2i−2i2i000000−2i2i00000000000
χ432-2-2-22-222-2-2222-22-200002-20000-2200002-2000000002i−2i2i−2i000000−2i2i00000000000
χ442-2-2-22-222-2-2222-22-200002-20000-2200002-200000000−2i2i−2i2i0000002i−2i00000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-4-44-404004-4-400000002222−22−220000000000−2222000000000000000000000000000
χ47444-4-4-44-404004-4-40000000−22−222222000000000022−22000000000000000000000000000
χ4844-4-444-4-4404-4000-40000000000004-400000000000000000000000000000000000
χ4944-4-444-4-4404-4000-4000000000000-4400000000000000000000000000000000000
χ5044-4-444-4-4-40-4400040000000000000000000000000000000000000000002i2−2i200000
χ5144-4-444-4-4-40-440004000000000000000000000000000000000000000000−2i22i200000
χ524-4444-4-4-440-44000-400000000000000000000000000000022−2222−22000000000000000
χ534-4444-4-4-440-44000-4000000000000000000000000000000−2222−2222000000000000000
χ544-4444-4-4-4-404-400040000004i−4i4i−4i000000000000000000000000000000000000000
χ554-4444-4-4-4-404-40004000000−4i4i−4i4i000000000000000000000000000000000000000
χ564-44-4-44-44000000000000002i2−2i2−2i22i20000000000000022−2200002i−2i−2i2i000000000000000
χ574-44-4-44-44000000000000002i2−2i2−2i22i200000000000000−22220000−2i2i2i−2i000000000000000
χ584-44-4-44-4400000000000000−2i22i22i2−2i20000000000000022−220000−2i2i2i−2i000000000000000
χ594-44-4-44-4400000000000000−2i22i22i2−2i200000000000000−222200002i−2i−2i2i000000000000000
χ604-4-44-444-40400-4-440000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ614-4-44-444-40400-4-44000000000000000000000000000−2i22i22i2−2i20000000000000000000
χ624-4-44-444-40-40044-404i−4i−4i4i000000000000000000000000000000000000000000000
χ634-4-44-444-40-40044-40−4i4i4i−4i000000000000000000000000000000000000000000000
χ644-4-4-44-4444-4-4-44-4440000-440000000000000000000000000000000000000000000
χ6588-88-8-8-88000000000000000000000000000000000000000000000000000000000

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