Finite Group Databasebeta

← Group #305618

Character table — Group #305618

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111-1-1111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11111-1-1-1-111111111111111-1-1-1-1-11-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-11111-1-111-1
χ71111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-1-1111-1-1-1-111-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11
χ91111111111111111-1-1-1-11111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-11
χ101111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1111111-1-11-1-1-1-1-1-1-11111-1
χ111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1111-1-1111111-1
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
χ131111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-11-1-1-1-1-1-1111
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111-1-1-1111111-1-1-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1-111111-1-111-1-1-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-111-1-1-111-1-1111
χ172222222222-2-22-2-222222-2-200000022-2-2000022000000-2-2000000000-2000000000
χ182222222222-2-22-2-222222-2-2000000-2-2-2-20000-2-2000000220000000002000000000
χ192222222222-2-22-2-22-2-2-2-2-2-200000022220000-2-200000022000000000-2000000000
χ202222222222-2-22-2-22-2-2-2-2-2-2000000-2-222000022000000-2-20000000002000000000
χ2122222222-2-222-222-20000-2-2222222000022-2-200-2-2000000000000-2000000000000
χ2222222222-2-222-222-20000-2-22222-2-20000-2-22200-2-20000000000002000000000000
χ2322222222-2-222-222-20000-2-2-2-2-2-2220000-2-2220022000000000000-2000000000000
χ2422222222-2-222-222-20000-2-2-2-2-2-2-2-2000022-2-200220000000000002000000000000
χ25222-22-2-2-22-200200-222-2-20022−2−2002-20000002-22−222−2−20022−2−2000000002−200000
χ26222-22-2-2-22-200200-222-2-20022−2−200-22000000-222−222−2−200−2−22200000000−2200000
χ27222-22-2-2-22-200200-222-2-200−2−222002-20000002-2−22−2−22200−2−22200000000−2200000
χ28222-22-2-2-22-200200-222-2-200−2−22200-22000000-22−22−2−2220022−2−2000000002−200000
χ29222-22-2-2-22-200200-2-2-2220022−2−2002-2000000-222−2−2−22200−2−222000000002−200000
χ30222-22-2-2-22-200200-2-2-2220022−2−200-220000002-22−2−2−2220022−2−200000000−2200000
χ31222-22-2-2-22-200200-2-2-22200−2−222002-2000000-22−2222−2−20022−2−200000000−2200000
χ32222-22-2-2-22-200200-2-2-22200−2−22200-220000002-2−2222−2−200−2−222000000002−200000
χ332-2-2-2222-22222-2-2-2-22-22-22-2000000002-22-22-2000000000000002-20000000000000
χ342-2-2-2222-22222-2-2-2-22-22-22-2000000002-2-22-2200000000000000-220000000000000
χ352-2-2-2222-22222-2-2-2-2-22-222-200000000-222-22-200000000000000-220000000000000
χ362-2-2-2222-22222-2-2-2-2-22-222-200000000-22-22-22000000000000002-20000000000000
χ372-2-2-2222-222-2-2-222-22-22-2-2200000000-220000000000000000000000002i−2i00002i−2i0
χ382-2-2-2222-222-2-2-222-22-22-2-2200000000-22000000000000000000000000−2i2i0000−2i2i0
χ392-2-2-2222-222-2-2-222-2-22-22-22000000002-20000000000000000000000002i−2i0000−2i2i0
χ402-2-2-2222-222-2-2-222-2-22-22-22000000002-2000000000000000000000000−2i2i00002i−2i0
χ412-2-2-2222-2-2-2222-2-220000-2200000000002-2-2200002i−2i2i−2i0000000002i−2i0000000000
χ422-2-2-2222-2-2-2222-2-220000-2200000000002-2-220000−2i2i−2i2i000000000−2i2i0000000000
χ432-2-2-2222-2-2-2222-2-220000-220000000000-222-200002i−2i2i−2i000000000−2i2i0000000000
χ442-2-2-2222-2-2-2222-2-220000-220000000000-222-20000−2i2i−2i2i0000000002i−2i0000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-44-4-4-4-4400-40040000002222−22−22000000000000−22220000000000000000000000000
χ47444-44-4-4-4-4400-4004000000−22−22222200000000000022−220000000000000000000000000
χ4844-44-4-44-4004-404-400000000000000000000000000000000000000000000022−22000
χ4944-44-4-44-4004-404-4000000000000000000000000000000000000000000000−2222000
χ5044-44-4-44-400-440-44000000000004-40000000000000000000000000000000000000
χ5144-44-4-44-400-440-4400000000000-440000000000000000000000000000000000000
χ524-444-44-4-40000000000000022−2222−2200000000000000000022−222-22-2000000000000000
χ534-444-44-4-40000000000000022−2222−22000000000000000000−2222-22-22000000000000000
χ544-444-44-4-400000000000000−2222−222200000000000000000022−22-22-22000000000000000
χ554-444-44-4-400000000000000−2222−2222000000000000000000−22222-22-2000000000000000
χ564-44-4-4-444004-40-44000000000000000000000000000000022−22−2222000000000000000
χ574-44-4-4-444004-40-440000000000000000000000000000000−222222−22000000000000000
χ584-44-4-4-44400-4404-400000004-4-44000000000000000000000000000000000000000
χ594-44-4-4-44400-4404-40000000-444-4000000000000000000000000000000000000000
χ604-4-444-4-444-400-40044-4-44000000000000000000000000000000000000000000000
χ614-4-444-4-444-400-4004-444-4000000000000000000000000000000000000000000000
χ624-4-444-4-44-4400400-40000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ634-4-444-4-44-4400400-4000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ644-4-4-4444-4-4-4-4-4444400004-40000000000000000000000000000000000000000000
χ6588-8-8-88-88000000000000000000000000000000000000000000000000000000000

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