Finite Group Databasebeta

← Group #277885

Character table — Group #277885

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111122222222222244444444444888888888888888888816161616161616161616161616163232
order12222244444488884444444888844888888888888888884488888888888824
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-11-1-111111-1-11111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1
χ611111111111111111-1-11-1-111111-1-111-1-1-1-11-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ711111111111111111-1-11-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ811111111111111111-1-11-1-111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1
χ9111111111111-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-1111-111-1-1-1-111-1-11-1
χ10111111111111-1-1-1-11111111-1-1-1-11111-1-111-1-1-1-1-111-1-1-1-111-11-1-111-1-1-1-111-11
χ11111111111111-1-1-1-11111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11111-1-11-111-1-111-1-111-11
χ12111111111111-1-1-1-11111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-11111-1-1-11-1-1111111-1-11-1
χ13111111111111-1-1-1-11-1-11-1-11-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-11-1-1-1111111-1-1-11
χ14111111111111-1-1-1-11-1-11-1-11-1-1-1-1-1-111-1-111-1111111-1-1-1-1-1-1-1111-1-111-1-1111-1
χ15111111111111-1-1-1-11-1-11-1-11-1-1-1-1-1-1-1-111-1-1-11111-1-11111111-1-1-111-1-1-1-1111-1
χ16111111111111-1-1-1-11-1-11-1-11-1-1-1-1-1-1-1-1-1-111-11111-1-1111111-1111-1-1-1-111-1-1-11
χ172222222-2222-22222-200-200-222-2-200002222-2000000000000-2-2000000000000
χ182222222-2222-22222-200-200-222-2-20000-2-2-2-2-200000000000022000000000000
χ192222222-2222-2-2-2-2-2-200-200-2-2-222000022-2-22000000000000-22000000000000
χ202222222-2222-2-2-2-2-2-200-200-2-2-2220000-2-22220000000000002-2000000000000
χ21222222-22-2-2-220000-2222-2-2-200002-200000000000002i2i−2i−2i000000002i−2i000000
χ22222222-22-2-2-220000-2222-2-2-200002-20000000000000−2i−2i2i2i00000000−2i2i000000
χ23222222-22-2-2-220000-2-2-2222-20000-2200000000000002i2i−2i−2i00000000−2i2i000000
χ24222222-22-2-2-220000-2-2-2222-20000-220000000000000−2i−2i2i2i000000002i−2i000000
χ252222-2-222-2-2222222-222-2-2-22-2-222-22000000-222-2-20000000000000000000000
χ262222-2-222-2-2222222-2-2-2-2222-2-2222-2000000-2-2-2220000000000000000000000
χ272222-2-222-2-222-2-2-2-2-222-2-2-2222-2-2-220000002-2-2220000000000000000000000
χ282222-2-222-2-222-2-2-2-2-2-2-2-222222-2-22-2000000222-2-20000000000000000000000
χ292222-2-22-2-2-22-22222200200-2-2-2-2-2000000002000000000000002i−2i2i−2i00000000
χ302222-2-22-2-2-22-22222200200-2-2-2-2-200000000200000000000000−2i2i−2i2i00000000
χ312222-2-22-2-2-22-2-2-2-2-2200200-2222200000000-2000000000000002i−2i−2i2i00000000
χ322222-2-22-2-2-22-2-2-2-2-2200200-2222200000000-200000000000000−2i2i2i−2i00000000
χ332222-2-2-2222-220000222-222-20000-2-222000000000-2-200002-200000000000000
χ342222-2-2-2222-220000222-222-20000-2-2-2-2000000000220000-2200000000000000
χ352222-2-2-2222-2200002-2-2-2-2-2-200002222000000000-2-20000-2200000000000000
χ362222-2-2-2222-2200002-2-2-2-2-2-2000022-2-20000000002200002-200000000000000
χ3722-2-22-2-202-2202i2i−2i−2i00000002i−2i00002−22i−2i2-2000002−2i2−i2i2−i20000000000i2−i22−200
χ3822-2-22-2-202-2202i2i−2i−2i00000002i−2i00002−2−2i2i-22000002−2i2−i2i2−i20000000000−i2i2−2200
χ3922-2-22-2-202-2202i2i−2i−2i00000002i−2i0000−222i−2i2-200000−22−i2i2−i2i20000000000−i2i2−2200
χ4022-2-22-2-202-2202i2i−2i−2i00000002i−2i0000−22−2i2i-2200000−22−i2i2−i2i20000000000i2−i22−200
χ4122-2-22-2-202-220−2i−2i2i2i0000000−2i2i00002−22i−2i-22000002−2−i2i2−i2i20000000000i2−i2−2200
χ4222-2-22-2-202-220−2i−2i2i2i0000000−2i2i00002−2−2i2i2-2000002−2−i2i2−i2i20000000000−i2i22−200
χ4322-2-22-2-202-220−2i−2i2i2i0000000−2i2i0000−222i−2i-2200000−22i2−i2i2−i20000000000−i2i22−200
χ4422-2-22-2-202-220−2i−2i2i2i0000000−2i2i0000−22−2i2i2-200000−22i2−i2i2−i20000000000i2−i2−2200
χ45444444-4-4-4-4-4-40000400-4004000000000000000000000000000000000000000
χ464444-4-4-4-444-4-40000-4004004000000000000000000000000000000000000000
χ4744-4-44-440-44-4000000000000000000000000000000022−22−22220000000000000000
χ4844-4-44-440-44-40000000000000000000000000000000−222222−220000000000000000
χ4944-4-4-44404-4-400000000000000000022−22000000000−222200000000000000000000
χ5044-4-4-44404-4-4000000000000000000−222200000000022−2200000000000000000000
χ5144-4-4-44-40-44404i4i−4i−4i0000000−4i4i0000000000000000000000000000000000000
χ5244-4-4-44-40-4440−4i−4i4i4i00000004i−4i0000000000000000000000000000000000000
χ534-4-440004000-422−2222−2204i−4i00000022−220000000002i2−2i2000000000000000000000000
χ544-4-440004000-422−2222−220−4i4i00000022−22000000000−2i22i2000000000000000000000000
χ554-4-440004000-4−2222−222204i−4i000000−2222000000000−2i22i2000000000000000000000000
χ564-4-440004000-4−2222−22220−4i4i000000−22220000000002i2−2i2000000000000000000000000
χ574-4-44000-4000422−2222−2200004-4000−22220000000000022−220000000000000000000000
χ584-4-44000-4000422−2222−220000-44000−222200000000000−22220000000000000000000000
χ594-4-44000-40004−2222−222200004-400022−2200000000000−22220000000000000000000000
χ604-4-44000-40004−2222−22220000-4400022−220000000000022−220000000000000000000000
χ618-88-8000000004i2−4i2−4i24i20000000000000000000000000000000000000000000000
χ628-88-800000000−4i24i24i2−4i20000000000000000000000000000000000000000000000

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