diff --git a/src/Parameter.jl b/src/Parameter.jl
index 920afec..3b618b1 100644
--- a/src/Parameter.jl
+++ b/src/Parameter.jl
@@ -1,4 +1,4 @@
-import Base: show
+import Base: show, getindex, eltype, length, iterate
 
 @doc raw"""
     Parameter
@@ -32,6 +32,14 @@ struct Parameters
 	exceptions::Vector{UPolyFrac}
 end
 
+getindex(p::Parameters, i::Integer) = p.params[i]
+
+eltype(::Type{Parameters}) = Parameter
+
+length(p::Parameters) = length(p.params)
+
+iterate(p::Parameters, state::Integer=1) = state > length(p) ? nothing : (p[state], state+1)
+
 function Parameters(p::Vector{Parameter})
 	return Parameters(p,UPolyFrac[])
 end
diff --git a/src/Show.jl b/src/Show.jl
index 7ee62ea..b37e446 100644
--- a/src/Show.jl
+++ b/src/Show.jl
@@ -73,9 +73,9 @@ julia> [g[3]]
 function show(io::IO, ::MIME"text/plain", c::AbstractGenericCharacter)
 	io = pretty(io)
 	println(io, "Generic character of ", parent(c).importname, Indent())
-	if c isa GenericCharacter && !isempty(c.params.params)
+	if !isempty(parameters(c))
 		println(io, "with parameters ", Indent())
-		print(io, c.params)
+		print(io, parameters(c))
 		if !isempty(c.substitutions)
 			print(io, ", substitutions: $(join(c.substitutions, ", "))")
 		end
@@ -121,9 +121,9 @@ julia> [conjugacy_class_type(g, 3)]
 function show(io::IO, ::MIME"text/plain", c::AbstractGenericConjugacyClass)
 	io = pretty(io)
 	println(io, "Generic conjugacy class of ", parent(c).importname, Indent())
-	if c isa GenericConjugacyClass && !isempty(parent(c).classparams[c.index].params)
+	if !isempty(parameters(c))
 		println(io, "with parameters ", Indent())
-		print(io, parent(c).classparams[c.index])
+		print(io, parameters(c))
 		if !isempty(c.substitutions)
 			print(io, ", substitutions: $(join(c.substitutions, ", "))")
 		end