Finite Group Databasebeta

← Group #277168

Character table — Group #277168

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444444444444888888888888888822448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ9111111111111-1-1-1-11111-1-1-1-111-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11-1
χ10111111111111-1-1-1-11111-1-1-1-111-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-11
χ11111111111111-1-1-1-11111-1-1-1-111-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-11
χ12111111111111-1-1-1-11111-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-11-1
χ13111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-11
χ14111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111-1
χ15111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1111-1
χ16111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-11
χ172222222222-2-222222-2-22-2-222-2-2-222-2-222-2-2000000000000000000000000000000
χ182222222222-2-222222-2-22-2-222-2-2-2-2-222-2-222000000000000000000000000000000
χ192222222222-2-2-2-2-2-22-2-2222-2-2-2-2222-2-2-2-222000000000000000000000000000000
χ202222222222-2-2-2-2-2-22-2-2222-2-2-2-22-2-22222-2-2000000000000000000000000000000
χ2122222222-2-2222222-222-222-2-2-2-2-200000000000022-2-222-2-2000000000000000000
χ2222222222-2-2222222-222-222-2-2-2-2-2000000000000-2-222-2-222000000000000000000
χ2322222222-2-222-2-2-2-2-222-2-2-222-2-2200000000000022-2-2-2-222000000000000000000
χ2422222222-2-222-2-2-2-2-222-2-2-222-2-22000000000000-2-22222-2-2000000000000000000
χ2522222222-2-2-2-22222-2-2-2-2-2-2-2-222200000000000000000000000000002i−2i2i−2i000000
χ2622222222-2-2-2-22222-2-2-2-2-2-2-2-22220000000000000000000000000000−2i2i−2i2i000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-200000000000000000000000000002i−2i−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-20000000000000000000000000000−2i2i2i−2i000000
χ292-222-22-2-2002-22i2i−2i−2i02-202i−2i000000000000022−2−2002-2002i−2ii2i2−i2−i2000000002−2i2−i200
χ302-222-22-2-2002-22i2i−2i−2i02-202i−2i000000000000022−2−200-2200−2i2ii2i2−i2−i200000000−22−i2i200
χ312-222-22-2-2002-22i2i−2i−2i02-202i−2i0000000000000−2−222002-2002i−2i−i2−i2i2i200000000−22−i2i200
χ322-222-22-2-2002-22i2i−2i−2i02-202i−2i0000000000000−2−22200-2200−2i2i−i2−i2i2i2000000002−2i2−i200
χ332-222-22-2-2002-2−2i−2i2i2i02-20−2i2i000000000000022−2−2002-200−2i2i−i2−i2i2i2000000002−2−i2i200
χ342-222-22-2-2002-2−2i−2i2i2i02-20−2i2i000000000000022−2−200-22002i−2i−i2−i2i2i200000000−22i2−i200
χ352-222-22-2-2002-2−2i−2i2i2i02-20−2i2i0000000000000−2−222002-200−2i2ii2i2−i2−i200000000−22i2−i200
χ362-222-22-2-2002-2−2i−2i2i2i02-20−2i2i0000000000000−2−22200-22002i−2ii2i2−i2−i2000000002−2−i2i200
χ372-2-2-222-222-2220000-2-2-2200002-2000002-22-22i−2i2i−2i000000000000002i−2i0000000000
χ382-2-2-222-222-2220000-2-2-2200002-2000002-22-2−2i2i−2i2i00000000000000−2i2i0000000000
χ392-2-2-222-222-2220000-2-2-2200002-200000-22-222i−2i2i−2i00000000000000−2i2i0000000000
χ402-2-2-222-222-2220000-2-2-2200002-200000-22-22−2i2i−2i2i000000000000002i−2i0000000000
χ412-2-2-222-222-2-2-20000-22220000-22000002-2-220000000000002-22-22-2000000000000
χ422-2-2-222-222-2-2-20000-22220000-22000002-2-22000000000000-22-22-22000000000000
χ432-2-2-222-222-2-2-20000-22220000-2200000-222-20000000000002-22-2-22000000000000
χ442-2-2-222-222-2-2-20000-22220000-2200000-222-2000000000000-22-222-2000000000000
χ45444-44-4-4-44-4000000400-40000000004-40000000000000000000000000000000000
χ46444-44-4-4-44-4000000400-4000000000-440000000000000000000000000000000000
χ47444-44-4-4-4-44000000-400400000004i−4i000000000000000000000000000000000000
χ48444-44-4-4-4-44000000-40040000000−4i4i000000000000000000000000000000000000
χ4944-44-4-4-4400004i−4i4i−4i000000000000000000000002i2−2i20022−2200000000000000000000
χ5044-44-4-4-4400004i−4i4i−4i00000000000000000000000−2i22i200−222200000000000000000000
χ5144-44-4-4-440000−4i4i−4i4i000000000000000000000002i2−2i200−222200000000000000000000
χ5244-44-4-4-440000−4i4i−4i4i00000000000000000000000−2i22i20022−2200000000000000000000
χ5344-4-4-444-4004-400000-4400000000000000002i2−2i2−2i22i200000000000000000000000000
χ5444-4-4-444-4004-400000-440000000000000000−2i22i22i2−2i200000000000000000000000000
χ5544-4-4-444-400-44000004-400000000000000000000000000002i2−2i2−2i22i200000000000000
χ5644-4-4-444-400-44000004-40000000000000000000000000000−2i22i22i2−2i200000000000000
χ574-444-44-4-400-444i4i−4i−4i0-440−4i4i0000000000000000000000000000000000000000000
χ584-444-44-4-400-44−4i−4i4i4i0-4404i−4i0000000000000000000000000000000000000000000
χ594-4-444-44-444004-4-44-400-4004-400000000000000000000000000000000000000000
χ604-4-444-44-44400-444-4-400-400-4400000000000000000000000000000000000000000
χ614-4-444-44-4-4-4004-4-44400400-4400000000000000000000000000000000000000000
χ624-4-444-44-4-4-400-444-44004004-400000000000000000000000000000000000000000
χ634-4-4-444-44-444400004-4-4-40000-44000000000000000000000000000000000000000
χ644-4-4-444-44-44-4-40000444-400004-4000000000000000000000000000000000000000
χ658-88-8-8-888000000000000000000000000000000000000000000000000000000000

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