Finite Group Databasebeta

← Group #277881

Character table — Group #277881

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111122222222222244444444444888888888888888888816161616161616161616161616163232
order12222244444488882244444888824888888888888888882488888888888824
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-111-1-111111-1-11111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1
χ61111111111111111-1-111-1-111111-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ71111111111111111-1-111-1-111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ81111111111111111-1-111-1-111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1
χ9111111111111-1-1-1-11111111-1-1-1-111-11111-1-1-1-1-1-111-1-1-1-1111-111-1-1-1-111-1-11-1
χ10111111111111-1-1-1-11111111-1-1-1-111-111-1-111-1-1-1-111-1-1-1-111-11-1-111-1-1-1-111-11
χ11111111111111-1-1-1-11111111-1-1-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-11-111-1-111-1-111-11
χ12111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-111-1-1-1-1-1-11111-1-1-11-1-1111111-1-11-1
χ13111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11-1-1-1111111-1-1-11
χ14111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1111-1-111-1-1111-1
χ15111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-111-1-11111-1-11111111-1-1-111-1-1-1-1111-1
χ16111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1111-1-1-1-111-1-1-11
χ172222222-2222-2222200-2-200-2-2-22200-2002222000000000000-2-2000000000000
χ182222222-2222-2222200-2-200-2-2-22200-200-2-2-2-200000000000022000000000000
χ192222222-2222-2-2-2-2-200-2-200-222-2-20020022-2-2000000000000-22000000000000
χ202222222-2222-2-2-2-2-200-2-200-222-2-200200-2-2220000000000002-2000000000000
χ21222222-22-2-2-22000022-22-2-2-200002-200000000000002i2i−2i−2i000000002i−2i000000
χ22222222-22-2-2-22000022-22-2-2-200002-20000000000000−2i−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
χ252222-2-222-2-222222222-2-2-2-2222-2-2-22-200000022-2-20000000000000000000000
χ262222-2-222-2-2222222-2-2-2-222222-2-22-2-2000000-2-2220000000000000000000000
χ272222-2-222-2-222-2-2-2-222-2-2-2-22-2-222-222000000-2-2220000000000000000000000
χ282222-2-222-2-222-2-2-2-2-2-2-2-2222-2-2222-2200000022-2-20000000000000000000000
χ292222-2-22-2-2-22-22222002200-2-2-2-2-2002000000000000000000002i−2i2i−2i00000000
χ302222-2-22-2-2-22-22222002200-2-2-2-2-200200000000000000000000−2i2i−2i2i00000000
χ312222-2-22-2-2-22-2-2-2-2-2002200-2222200-2000000000000000000002i−2i−2i2i00000000
χ322222-2-22-2-2-22-2-2-2-2-2002200-2222200-200000000000000000000−2i2i2i−2i00000000
χ332222-2-2-2222-220000222-222-20000-2-202200000000-2-20000-2200000000000000
χ342222-2-2-2222-220000222-222-20000-2-20-2-2000000002200002-200000000000000
χ352222-2-2-2222-220000-2-22-2-2-2-200002202200000000-2-200002-200000000000000
χ362222-2-2-2222-220000-2-22-2-2-2-20000220-2-200000000220000-2200000000000000
χ372-22-22-2202-2-202i2i−2i−2i0000000002i−2i0002−22-22i−2i00002−2i2−i2i2−i200000000002−2i2−i200
χ382-22-22-2202-2-202i2i−2i−2i0000000002i−2i0002−2-22−2i2i00002−2i2−i2i2−i20000000000−22−i2i200
χ392-22-22-2202-2-202i2i−2i−2i0000000002i−2i000−222-22i−2i0000−22−i2i2−i2i20000000000−22−i2i200
χ402-22-22-2202-2-202i2i−2i−2i0000000002i−2i000−22-22−2i2i0000−22−i2i2−i2i200000000002−2i2−i200
χ412-22-22-2202-2-20−2i−2i2i2i000000000−2i2i0002−22-2−2i2i00002−2−i2i2−i2i200000000002−2−i2i200
χ422-22-22-2202-2-20−2i−2i2i2i000000000−2i2i0002−2-222i−2i00002−2−i2i2−i2i20000000000−22i2−i200
χ432-22-22-2202-2-20−2i−2i2i2i000000000−2i2i000−222-2−2i2i0000−22i2−i2i2−i20000000000−22i2−i200
χ442-22-22-2202-2-20−2i−2i2i2i000000000−2i2i000−22-222i−2i0000−22i2−i2i2−i200000000002−2−i2i200
χ45444444-4-4-4-4-4-40000004-4004000000000000000000000000000000000000000
χ464444-4-4-4-444-4-4000000-44004000000000000000000000000000000000000000
χ474-44-44-4-40-444000000000000000000000000000000022−22−22220000000000000000
χ484-44-44-4-40-4440000000000000000000000000000000−222222−220000000000000000
χ494-44-4-4440-44-404i4i−4i−4i000000000−4i4i00000000000000000000000000000000000
χ504-44-4-4440-44-40−4i−4i4i4i0000000004i−4i00000000000000000000000000000000000
χ514-44-4-44-404-44000000000000000000022−2200000000−222200000000000000000000
χ524-44-4-44-404-440000000000000000000−22220000000022−2200000000000000000000
χ534-4-440004000-422−2222−2200004i−4i022−2200000000000002i2−2i20000000000000000000000
χ544-4-440004000-422−2222−220000−4i4i022−220000000000000−2i22i20000000000000000000000
χ554-4-440004000-4−2222−222200004i−4i0−22220000000000000−2i22i20000000000000000000000
χ564-4-440004000-4−2222−22220000−4i4i0−222200000000000002i2−2i20000000000000000000000
χ574-4-44000-4000422−2222−224-400000−22220000000000022−22000000000000000000000000
χ584-4-44000-4000422−2222−22-4400000−222200000000000−2222000000000000000000000000
χ594-4-44000-40004−2222−22224-40000022−2200000000000−2222000000000000000000000000
χ604-4-44000-40004−2222−2222-440000022−220000000000022−22000000000000000000000000
χ6188-8-8000000004i2−4i2−4i24i20000000000000000000000000000000000000000000000
χ6288-8-800000000−4i24i24i2−4i20000000000000000000000000000000000000000000000

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