Finite Group Databasebeta

← Group #278345

Character table — Group #278345

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222222244444448888888888888888816161616161616161616161632323232
order12222244444488884448888244444448888888884488888888882488
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1111111-1-1-1-1
χ4111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1-1-1-11111-1-11-1-11111-1-111-1-111-1-1-1-1-1-111
χ611111111111111111111111-1-1-1-11111-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ711111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-111-1-1
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-111-1-11111-1-111
χ9111111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1111-111-1-11-1-11
χ10111111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-111-111-1
χ11111111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-11111111-1-1-11-111-1-1-111-1
χ12111111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-11-1-1-11-1-1111-1-11
χ13111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-111-1-1-1-1111-1-1-11-1-1-111-11-11
χ14111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-111-1-1-1-111-11-1-1-1111-1-11-11-1
χ15111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-11-1111-1-1-1111-11-1
χ16111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1111-1111-1-1-11-11
χ1722222222-222-22222-2-2-222-2-222-2-2000022-2-2-200000000000000000000
χ1822222222-222-22222-2-2-222-2-2-2-2220000-2-2-22200000000000000000000
χ1922222222-222-2-2-2-2-2-2-2-2-2-22222-2-20000-2-222200000000000000000000
χ2022222222-222-2-2-2-2-2-2-2-2-2-222-2-2220000222-2-200000000000000000000
χ212222-2-22-222-2200002-2-200002-2-2200000000022-2-22-200000000000000
χ222222-2-22-222-2200002-2-200002-2-22000000000-2-222-2200000000000000
χ232222-2-22-222-2200002-2-20000-222-200000000022-2-2-2200000000000000
χ242222-2-22-222-2200002-2-20000-222-2000000000-2-2222-200000000000000
χ252222-2-22-2-22-2-20000-22200002-22-22i2i−2i−2i00000000000002i−2i0000000000
χ262222-2-22-2-22-2-20000-22200002-22-2−2i−2i2i2i0000000000000−2i2i0000000000
χ272222-2-22-2-22-2-20000-2220000-22-222i2i−2i−2i0000000000000−2i2i0000000000
χ282222-2-22-2-22-2-20000-2220000-22-22−2i−2i2i2i00000000000002i−2i0000000000
χ292222-2-2-222-2222222-22-2-2-2220000000000-2000000002200-2-200000000
χ302222-2-2-222-2222222-22-2-2-2220000000000-200000000-2-2002200000000
χ312222-2-2-222-222-2-2-2-2-22-222-2-200000000002000000002-200-2200000000
χ322222-2-2-222-222-2-2-2-2-22-222-2-20000000000200000000-22002-200000000
χ332222-2-2-22-2-22-222222-22-2-2-2-200000000002000000000000002i−2i2i−2i0000
χ342222-2-2-22-2-22-222222-22-2-2-2-20000000000200000000000000−2i2i−2i2i0000
χ352222-2-2-22-2-22-2-2-2-2-22-2222220000000000-2000000000000002i−2i−2i2i0000
χ362222-2-2-22-2-22-2-2-2-2-22-2222220000000000-200000000000000−2i2i2i−2i0000
χ37444444-4-44-4-440000-4-440000000000000000000000000000000000000
χ38444444-4-4-4-4-4-4000044-40000000000000000000000000000000000000
χ3944-4-44-4440-4-4000000000000000000004-400000000000000000000000
χ4044-4-44-4440-4-400000000000000000000-4400000000000000000000000
χ4144-4-44-4-4-404404i4i−4i−4i0004i−4i00000000000000000000000000000000000
χ4244-4-44-4-4-40440−4i−4i4i4i000−4i4i00000000000000000000000000000000000
χ4344-4-4-444-40-4404i4i−4i−4i000−4i4i00000000000000000000000000000000000
χ4444-4-4-444-40-440−4i−4i4i4i0004i−4i00000000000000000000000000000000000
χ4544-4-4-44-4404-4000000000000000000000004i−4i00000000000000000000
χ4644-4-4-44-4404-400000000000000000000000−4i4i00000000000000000000
χ474-4-440000400-422−2222−220000022−2200002i−2i2i−2i000002i2−2i2000000000000000000
χ484-4-440000400-422−2222−220000022−220000−2i2i−2i2i00000−2i22i2000000000000000000
χ494-4-440000400-4−2222−222200000−222200002i−2i2i−2i00000−2i22i2000000000000000000
χ504-4-440000400-4−2222−222200000−22220000−2i2i−2i2i000002i2−2i2000000000000000000
χ514-4-440000-400422−2222−2200000−222200002-2-22000000022−220000000000000000
χ524-4-440000-400422−2222−2200000−22220000-222-20000000−22220000000000000000
χ534-4-440000-4004−2222−22220000022−2200002-2-220000000−22220000000000000000
χ544-4-440000-4004−2222−22220000022−220000-222-2000000022−220000000000000000
χ558-88-8000000004i2−4i2−4i24i20000000000000000000000000000000000000000
χ568-88-800000000−4i24i24i2−4i20000000000000000000000000000000000000000

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