I don't think you can use a SELECT statement to list index names. You can examine TableDef objects to access the index names.
Public Sub ShowIndexNames()
Dim tdf As TableDef
Dim idx As Index
Dim num_indexes As Long
On Error GoTo ErrorHandler
For Each tdf In CurrentDb.TableDefs
num_indexes = tdf.Indexes.Count
If Left$(tdf.Name, 4) <> "MSys" Then
If num_indexes > 0 Then
For Each idx In tdf.Indexes
Debug.Print tdf.Name, idx.Name
Next idx
End If
End If
Next tdf
ExitHere:
Exit Sub
ErrorHandler:
Select Case Err.Number
Case 3110
'Could not read definitions; no read definitions '
'permission for table or query '<Name>'. '
Debug.Print "No read definitions permission for " _
& tdf.Name
num_indexes = 0
Resume Next
Case Else
Debug.Print Err.Number & "-> " & Err.Description
GoTo ExitHere
End Select
End Sub
Edit: Revised the sub to ignore MSys* (Access system) tables.