Finite Group Databasebeta

← Group #277889

Character table — Group #277889

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111122222222222244444444444888888888888888888816161616161616161616161616163232
order12222244444488882244444888824888888888888888884488888888888824
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-11-1-1111111-1-1111-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1
χ61111111111111111-1-11-1-1111111-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111-1-11-1-1111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111-1-11-1-1111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1
χ9111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-111-1-11-111-1-111-1-11-1
χ10111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-111-1-1-11-1-111-1-111-11
χ11111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-11111-1-1111-111-1-1-1-111-11
χ12111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-111-11-1-11111-1-11-1
χ13111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-111-1111111-1-111-1-1-1-1-1-1111-1-1-11111-1-1-11
χ14111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-111-11111-1-11111-1-1-1-1-1-111-1111-1-1-1-1111-1
χ15111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11-1-1-111-1-1111-1
χ16111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1111-1-111-1-1-11
χ172222222-2-2-2-22000022-2-2-22-200002-200000000000002i2i−2i−2i002i−2i000000000000
χ182222222-2-2-2-22000022-2-2-22-200002-20000000000000−2i−2i2i2i00−2i2i000000000000
χ192222222-2-2-2-220000-2-2-2222-20000-2200000000000002i2i−2i−2i00−2i2i000000000000
χ202222222-2-2-2-220000-2-2-2222-20000-220000000000000−2i−2i2i2i002i−2i000000000000
χ21222222-22222-2222200-200-2-222-2-20000-2000022220000000000-2-20000000000
χ22222222-22222-2222200-200-2-222-2-20000-20000-2-2-2-20000000000220000000000
χ23222222-22222-2-2-2-2-200-200-2-2-2-22200002000022-2-20000000000-220000000000
χ24222222-22222-2-2-2-2-200-200-2-2-2-222000020000-2-22200000000002-20000000000
χ252222-2-2222-2-22222222-2-2-2-22-2-222-2200-222-2-200000000000000000000000000
χ262222-2-2222-2-222222-2-2-222-22-2-2222-200-2-2-22200000000000000000000000000
χ272222-2-2222-2-22-2-2-2-222-2-2-2-2222-2-2-22002-2-22200000000000000000000000000
χ282222-2-2222-2-22-2-2-2-2-2-2-222-2222-2-22-200222-2-200000000000000000000000000
χ292222-2-22-2-2222000022222-2-20000-2-222000000000-2-200002-200000000000000
χ302222-2-22-2-2222000022222-2-20000-2-2-2-2000000000220000-2200000000000000
χ312222-2-22-2-22220000-2-22-2-2-2-200002222000000000-2-20000-2200000000000000
χ322222-2-22-2-22220000-2-22-2-2-2-2000022-2-20000000002200002-200000000000000
χ332222-2-2-222-2-2-22222002002-2-2-2-2-200002000000000000000000002i−2i2i−2i000000
χ342222-2-2-222-2-2-22222002002-2-2-2-2-20000200000000000000000000−2i2i−2i2i000000
χ352222-2-2-222-2-2-2-2-2-2-2002002-222220000-2000000000000000000002i−2i−2i2i000000
χ362222-2-2-222-2-2-2-2-2-2-2002002-222220000-200000000000000000000−2i2i2i−2i000000
χ3722-2-22-202-22-202i2i−2i−2i00000002i−2i0000i2−i2000002i−2i2-2i2−i22−22−200000000002−2i2−i200
χ3822-2-22-202-22-202i2i−2i−2i00000002i−2i0000i2−i200000−2i2i-22i2−i22−22−20000000000−22−i2i200
χ3922-2-22-202-22-202i2i−2i−2i00000002i−2i0000−i2i2000002i−2i2-2−i2i2−22−220000000000−22−i2i200
χ4022-2-22-202-22-202i2i−2i−2i00000002i−2i0000−i2i200000−2i2i-22−i2i2−22−2200000000002−2i2−i200
χ4122-2-22-202-22-20−2i−2i2i2i0000000−2i2i0000i2−i2000002i−2i-22i2−i2−22−2200000000002−2−i2i200
χ4222-2-22-202-22-20−2i−2i2i2i0000000−2i2i0000i2−i200000−2i2i2-2i2−i2−22−220000000000−22i2−i200
χ4322-2-22-202-22-20−2i−2i2i2i0000000−2i2i0000−i2i2000002i−2i-22−i2i22−22−20000000000−22i2−i200
χ4422-2-22-202-22-20−2i−2i2i2i0000000−2i2i0000−i2i200000−2i2i2-2−i2i22−22−200000000002−2−i2i200
χ45444444-4-4-4-4-4-4000000400-44000000000000000000000000000000000000000
χ464444-4-4-4-4-444-4000000-40044000000000000000000000000000000000000000
χ4744-4-44-40-44-4400000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ4844-4-44-40-44-440000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ4944-4-4-4404-4-4404i4i−4i−4i0000000−4i4i0000000000000000000000000000000000000
χ5044-4-4-4404-4-440−4i−4i4i4i00000004i−4i0000000000000000000000000000000000000
χ5144-4-4-440-444-40000000000000000002i2−2i2000000000−2i22i200000000000000000000
χ5244-4-4-440-444-4000000000000000000−2i22i20000000002i2−2i200000000000000000000
χ534-4-440040000-422−2222−220004i−4i000022−2200000002i2−2i200000000000000000000000000
χ544-4-440040000-422−2222−22000−4i4i000022−220000000−2i22i200000000000000000000000000
χ554-4-440040000-4−2222−22220004i−4i0000−22220000000−2i22i200000000000000000000000000
χ564-4-440040000-4−2222−2222000−4i4i0000−222200000002i2−2i200000000000000000000000000
χ574-4-4400-40000422−2222−224-40000000−22220000022−220000000000000000000000000000
χ584-4-4400-40000422−2222−22-440000000−222200000−22220000000000000000000000000000
χ594-4-4400-400004−2222−22224-4000000022−2200000−22220000000000000000000000000000
χ604-4-4400-400004−2222−2222-44000000022−220000022−220000000000000000000000000000
χ618-88-8000000004i2−4i2−4i24i20000000000000000000000000000000000000000000000
χ628-88-800000000−4i24i24i2−4i20000000000000000000000000000000000000000000000

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