Finite Group Databasebeta

← Group #340306

Character table — Group #340306

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888244444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111111111111111-11-1-1-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1111111-1-1-1-1-1-11-11-1-11-1-1-1-1-1-111-1
χ4111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-11
χ51111111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11
χ61111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1
χ71111111111111111111111-1-1-1-111-1-11111-1-1-1-11111111-11-1-11-1-11111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-111-1-1-11-1
χ10111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-11-1-1-1-1111-11
χ11111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-111-1-111-111
χ12111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-11111111-1-11-1-1
χ13111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-11111-1-1-1-1-1111-1-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1-11-1-111-1-1-111
χ15111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-11-1-1-11111-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-1-111111-1-111-11-1
χ172222222222-2-22-2-22-2-20000222200-2-2-2-20000002200000-20000000000000
χ182222222222-2-22-2-22-2-2000022-2-200-2-222000000-2-20000020000000000000
χ192222222222-2-22-2-22-2-20000-2-222002222000000-2-200000-20000000000000
χ202222222222-2-22-2-22-2-20000-2-2-2-20022-2-2000000220000020000000000000
χ2122222222-2-222-222-2-2-222220000220000-2-20000000000-20-2002000000000
χ2222222222-2-222-222-2-2-222220000-2-20000-2-2000000000020200-2000000000
χ2322222222-2-222-222-2-2-2-2-2-2-2000022000022000000000020-200-2000000000
χ2422222222-2-222-222-2-2-2-2-2-2-20000-2-20000220000000000-202002000000000
χ252-2-22-222-22-200200-20022−2−22-22i−2i0000002−222−2−22i−2ii2i2−i2−i2000000i2−i20000000
χ262-2-22-222-22-200200-20022−2−22-2−2i2i0000002−222−2−2−2i2i−i2−i2i2i2000000−i2i20000000
χ272-2-22-222-22-200200-20022−2−2-222i−2i0000002−2−2−222−2i2i−i2−i2i2i2000000i2−i20000000
χ282-2-22-222-22-200200-20022−2−2-22−2i2i0000002−2−2−2222i−2ii2i2−i2−i2000000−i2i20000000
χ292-2-22-222-22-200200-200−2−2222-22i−2i000000−22−2−2222i−2i−i2−i2i2i2000000−i2i20000000
χ302-2-22-222-22-200200-200−2−2222-2−2i2i000000−22−2−222−2i2ii2i2−i2−i2000000i2−i20000000
χ312-2-22-222-22-200200-200−2−222-222i−2i000000−2222−2−2−2i2ii2i2−i2−i2000000−i2i20000000
χ322-2-22-222-22-200200-200−2−222-22−2i2i000000−2222−2−22i−2i−i2−i2i2i2000000i2−i20000000
χ332-2-2-22-222-2-2-2-222222-200000000000000002-22-20000000002-2000002-2000
χ342-2-2-22-222-2-2-2-222222-200000000000000002-22-2000000000-2200000-22000
χ352-2-2-22-222-2-2-2-222222-20000000000000000-22-220000000002-200000-22000
χ362-2-2-22-222-2-2-2-222222-20000000000000000-22-22000000000-22000002-2000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-44-44-400-40040000000000004i−4i00000000000000000000000000000
χ39444-4-4-44-44-400-4004000000000000−4i4i00000000000000000000000000000
χ40444-4-4-44-4-4400400-400000000000000000022−22−2222000000000000000000000
χ41444-4-4-44-4-4400400-4000000000000000000−222222−22000000000000000000000
χ4244-4-4-44-44004-404-400000000000000000000000002i2−2i22i2−2i2000000000000000
χ4344-4-4-44-44004-404-40000000000000000000000000−2i22i2−2i22i2000000000000000
χ4444-4-4-44-4400-440-440004i−4i4i−4i0000000000000000000000000000000000000
χ4544-4-4-44-4400-440-44000−4i4i−4i4i0000000000000000000000000000000000000
χ464-444-4-4-44004-40-4400000000000000000000000000000000000002i2−2i200000
χ474-444-4-4-44004-40-440000000000000000000000000000000000000−2i22i200000
χ484-444-4-4-4400-4404-4000000000004i−4i0000000000000000000000000000000
χ494-444-4-4-4400-4404-400000000000−4i4i0000000000000000000000000000000
χ504-44-444-4-400000000002i2−2i2−2i22i2000000002i2−2i2000000002-2-22000000000000000
χ514-44-444-4-400000000002i2−2i2−2i22i200000000−2i22i200000000-222-2000000000000000
χ524-44-444-4-40000000000−2i22i22i2−2i2000000002i2−2i200000000-222-2000000000000000
χ534-44-444-4-40000000000−2i22i22i2−2i200000000−2i22i2000000002-2-22000000000000000
χ544-4-44-444-4-4400-4004002222−22−220000000000−22220000000000000000000000000
χ554-4-44-444-4-4400-400400−22−222222000000000022−220000000000000000000000000
χ564-4-4-44-4444444-4-4-4-44-400000000000000000000000000000000000000000
χ574-4-4-44-44444-4-4-444-4-4400000000000000000000000000000000000000000
χ584-4-4-44-444-4-4444-4-44-4400000000000000000000000000000000000000000
χ5988-888-8-8-8000000000000000000000000000000000000000000000000000

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