Finite Group Databasebeta

← Group #310473

Character table — Group #310473

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888224444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-111111111111111-1-1-1-1-11-1-111-1-1-1-1-1
χ311111111111111111111111111-1-11111111111-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-111111-1-111-1-1-1
χ61111111111111111111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111-1-11-1-1-1-1-1-1111
χ71111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-111-1-1111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1111111-1-1-1
χ91111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-11
χ101111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1111111-1
χ111111111111111111-1-1-1-1111111-1-11111-1-1111111-1-1-1-1111111-1-11-1-1-1-1-1-1-11111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-111-111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1111111-1-1-1111-1-1-1-111-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1111-11111-1-111-1
χ172222222222-2-22-2-222222-2-20000220000-2-20000220000-2-2000000000-2000000000
χ182222222222-2-22-2-222222-2-20000-2-20000-2-20000-2-20000220000000002000000000
χ192222222222-2-22-2-22-2-2-2-2-2-20000220000220000-2-2000022000000000-2000000000
χ202222222222-2-22-2-22-2-2-2-2-2-20000-2-20000220000220000-2-20000000002000000000
χ2122222222-2-222-222-20000-2-2222200222200-2-2-2-200000000000000-2000000000000
χ2222222222-2-222-222-20000-2-2222200-2-2-2-20022-2-2000000000000002000000000000
χ2322222222-2-222-222-20000-2-2-2-2-2-20022-2-200-2-222000000000000002000000000000
χ2422222222-2-222-222-20000-2-2-2-2-2-200-2-22200222200000000000000-2000000000000
χ25222-2-2-2-222-200-20022i2i−2i−2i00i2i2−i2−i22-200000000i2−i22i−2i22−2−20022−2−200000000i2−i200000
χ26222-2-2-2-222-200-20022i2i−2i−2i00i2i2−i2−i2-2200000000i2−i2−2i2i22−2−200−2−22200000000−i2i200000
χ27222-2-2-2-222-200-20022i2i−2i−2i00−i2−i2i2i22-200000000−i2i22i−2i−2−22200−2−22200000000−i2i200000
χ28222-2-2-2-222-200-20022i2i−2i−2i00−i2−i2i2i2-2200000000−i2i2−2i2i−2−2220022−2−200000000i2−i200000
χ29222-2-2-2-222-200-2002−2i−2i2i2i00i2i2−i2−i22-200000000i2−i2−2i2i−2−22200−2−22200000000i2−i200000
χ30222-2-2-2-222-200-2002−2i−2i2i2i00i2i2−i2−i2-2200000000i2−i22i−2i−2−2220022−2−200000000−i2i200000
χ31222-2-2-2-222-200-2002−2i−2i2i2i00−i2−i2i2i22-200000000−i2i2−2i2i22−2−20022−2−200000000−i2i200000
χ32222-2-2-2-222-200-2002−2i−2i2i2i00−i2−i2i2i2-2200000000−i2i22i−2i22−2−200−2−22200000000i2−i200000
χ3322-2-2-222-22-2222-2-2-22i−2i2i−2i-220000002i−2i002i−2i2i−2i000000000000000002-20000000000
χ3422-2-2-222-22-2222-2-2-22i−2i2i−2i-22000000−2i2i002i−2i−2i2i00000000000000000-220000000000
χ3522-2-2-222-22-2222-2-2-2−2i2i−2i2i-220000002i−2i00−2i2i2i−2i00000000000000000-220000000000
χ3622-2-2-222-22-2222-2-2-2−2i2i−2i2i-22000000−2i2i00−2i2i−2i2i000000000000000002-20000000000
χ3722-2-2-222-22-2-2-2222-22i−2i2i−2i2-20000000000−2i2i00000000000000000000002i−2i002-2000
χ3822-2-2-222-22-2-2-2222-22i−2i2i−2i2-20000000000−2i2i0000000000000000000000−2i2i00-22000
χ3922-2-2-222-22-2-2-2222-2−2i2i−2i2i2-200000000002i−2i00000000000000000000002i−2i00-22000
χ4022-2-2-222-22-2-2-2222-2−2i2i−2i2i2-200000000002i−2i0000000000000000000000−2i2i002-2000
χ4122-2-2-222-2-2222-2-2-2200002-20000002i−2i0000−2i2i00002i−2i2i−2i0000002-20000000000000
χ4222-2-2-222-2-2222-2-2-2200002-20000002i−2i0000−2i2i0000−2i2i−2i2i000000-220000000000000
χ4322-2-2-222-2-2222-2-2-2200002-2000000−2i2i00002i−2i00002i−2i2i−2i000000-220000000000000
χ4422-2-2-222-2-2222-2-2-2200002-2000000−2i2i00002i−2i0000−2i2i−2i2i0000002-20000000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-4-4-44-4400400-40000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ47444-4-4-4-44-4400400-4000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ4844-444-4-4-44400-400-44-4-44000000000000000000000000000000000000000000000
χ4944-444-4-4-44400-400-4-444-4000000000000000000000000000000000000000000000
χ5044-444-4-4-4-4-40040040000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ5144-444-4-4-4-4-4004004000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ5244-4-4-444-4-44-4-4-44440000-440000000000000000000000000000000000000000000
χ534-444-4-44-4004-404-400000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ544-444-4-44-4004-404-40000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ554-444-4-44-400-440-4400000004i−4i4i−4i000000000000000000000000000000000000000
χ564-444-4-44-400-440-440000000−4i4i−4i4i000000000000000000000000000000000000000
χ574-44-444-4-40000000000000022−22−22220000000000000000002i2−2i22i−2i−2i2i000000000000000
χ584-44-444-4-40000000000000022−22−2222000000000000000000−2i22i2−2i2i2i−2i000000000000000
χ594-44-444-4-400000000000000−222222−220000000000000000002i2−2i2−2i2i2i−2i000000000000000
χ604-44-444-4-400000000000000−222222−22000000000000000000−2i22i22i−2i−2i2i000000000000000
χ614-4-4-44-444004-40-440000000000000000000000000000000000000000000000022−220
χ624-4-4-44-444004-40-4400000000000000000000000000000000000000000000000−22220
χ634-4-4-44-44400-4404-40000000000000004-4000000000000000000000000000000000
χ644-4-4-44-44400-4404-4000000000000000-44000000000000000000000000000000000
χ658-8-88-88-88000000000000000000000000000000000000000000000000000000000

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