Finite Group Databasebeta

← Group #277868

Character table — Group #277868

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111122222222222244444444444888888888888888888816161616161616161616161616163232
order12222244444488882244444888824888888888888888884488888888888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111-1-111-1-111111-1-1111-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1
χ61111111111111111-1-111-1-111111-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111-1-111-1-111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111-1-111-1-111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1
χ9111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1111-1-1-111-1-111-1-11-1
χ10111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-111-11-1-1-1-111-1-111-11
χ11111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-11-111-1-11111-1-1-11
χ12111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111111-1-1-1-1111-1
χ13111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-111-11
χ14111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-111-1111111-1-111-1-1-1-1-1-1-1111-1-11111-1-11-1
χ15111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-11111-1-111-1-11111111-1-1-1-1-111-1-1111-1
χ16111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-11-1-111-1-111-1-1-11
χ172222222-2-2-22-20000222-2-2-2-200002-200000000000002i2i−2i−2i00002i−2i0000000000
χ182222222-2-2-22-20000222-2-2-2-200002-20000000000000−2i−2i2i2i0000−2i2i0000000000
χ192222222-2-2-22-20000-2-22-222-20000-2200000000000002i2i−2i−2i0000−2i2i0000000000
χ202222222-2-2-22-20000-2-22-222-20000-220000000000000−2i−2i2i2i00002i−2i0000000000
χ21222222-2222-22222200-2-200-222-2-20000-20000002222000000-2-2000000000000
χ22222222-2222-22222200-2-200-222-2-20000-2000000-2-2-2-200000022000000000000
χ23222222-2222-22-2-2-2-200-2-200-2-2-2220000200000022-2-2000000-22000000000000
χ24222222-2222-22-2-2-2-200-2-200-2-2-22200002000000-2-2220000002-2000000000000
χ252222-2-222-2-222000022-2222-20000-2-22200000-2-2000000002-200000000000000
χ262222-2-222-2-222000022-2222-20000-2-2-2-2000002200000000-2200000000000000
χ272222-2-222-2-2220000-2-2-22-2-2-20000222200000-2-200000000-2200000000000000
χ282222-2-222-2-2220000-2-2-22-2-2-2000022-2-20000022000000002-200000000000000
χ292222-2-22-2222-2222222-2-2-2-22-2-222-2200-222-2-200000000000000000000000000
χ302222-2-22-2222-22222-2-2-2-2222-2-2222-200-2-2-22200000000000000000000000000
χ312222-2-22-2222-2-2-2-2-222-2-2-2-2222-2-2-22002-2-22200000000000000000000000000
χ322222-2-22-2222-2-2-2-2-2-2-2-2-222222-2-22-200222-2-200000000000000000000000000
χ332222-2-2-2-222-2-22222002200-2-2-2-2-2000020000000000000000000000002i−2i2i−2i00
χ342222-2-2-2-222-2-22222002200-2-2-2-2-200002000000000000000000000000−2i2i−2i2i00
χ352222-2-2-2-222-2-2-2-2-2-2002200-222220000-20000000000000000000000002i−2i−2i2i00
χ362222-2-2-2-222-2-2-2-2-2-2002200-222220000-2000000000000000000000000−2i2i2i−2i00
χ372-2-222-2022-20-222-2-200000002-20000i2−i200000i2−i22i−2i2i−2ii2−i2i2−i20000002−22−2000000
χ382-2-222-2022-20-222-2-200000002-20000i2−i200000i2−i2−2i2i−2i2ii2−i2i2−i2000000−22−22000000
χ392-2-222-2022-20-222-2-200000002-20000−i2i200000−i2i22i−2i2i−2i−i2i2−i2i2000000−22−22000000
χ402-2-222-2022-20-222-2-200000002-20000−i2i200000−i2i2−2i2i−2i2i−i2i2−i2i20000002−22−2000000
χ412-2-222-2022-20-2-2-2220000000-220000i2−i200000i2−i22i−2i−2i2i−i2i2−i2i20000002−2−22000000
χ422-2-222-2022-20-2-2-2220000000-220000i2−i200000i2−i2−2i2i2i−2i−i2i2−i2i2000000−222−2000000
χ432-2-222-2022-20-2-2-2220000000-220000−i2i200000−i2i22i−2i−2i2ii2−i2i2−i2000000−222−2000000
χ442-2-222-2022-20-2-2-2220000000-220000−i2i200000−i2i2−2i2i2i−2ii2−i2i2−i20000002−2−22000000
χ45444444-4-4-4-4-4-4000000-44004000000000000000000000000000000000000000
χ464444-4-4-44-4-4-440000004-4004000000000000000000000000000000000000000
χ4744-4-4004000-4022−2222−224-4000000022−220000022−220000000000000000000000000000
χ4844-4-4004000-4022−2222−22-44000000022−2200000−22220000000000000000000000000000
χ4944-4-4004000-40−2222−22224-40000000−222200000−22220000000000000000000000000000
χ5044-4-4004000-40−2222−2222-440000000−22220000022−220000000000000000000000000000
χ5144-4-400-40004022−2222−2200004i−4i000−222200000002i2−2i200000000000000000000000000
χ5244-4-400-40004022−2222−220000−4i4i000−22220000000−2i22i200000000000000000000000000
χ5344-4-400-400040−2222−222200004i−4i00022−220000000−2i22i200000000000000000000000000
χ5444-4-400-400040−2222−22220000−4i4i00022−2200000002i2−2i200000000000000000000000000
χ554-4-444-40-4-440400000000000000000000000000000022−22−22220000000000000000
χ564-4-444-40-4-4404000000000000000000000000000000−222222−220000000000000000
χ574-4-44-4404-440-4000000000000000002i2−2i200000−2i22i2000000000000000000000000
χ584-4-44-4404-440-400000000000000000−2i22i2000002i2−2i2000000000000000000000000
χ594-4-44-440-44-40444-4-40000000-440000000000000000000000000000000000000
χ604-4-44-440-44-404-4-44400000004-40000000000000000000000000000000000000
χ618-88-80000000042−42−42420000000000000000000000000000000000000000000000
χ628-88-800000000−424242−420000000000000000000000000000000000000000000000

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