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Up to six funds side by side, and how much of each is the same portfolio as the others. Overlap is Σ min(weight) over the stocks both hold, from the latest disclosures.

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Overlap

share of the portfolio the two funds hold in common

DSP Nifty Private Bank IndexHDFC Nifty 50 Index
DSP Nifty Private Bank Index
itself
25%
HDFC Nifty 50 Index
25%
itself

Most alike: DSP Nifty Private Bank Index Fund and HDFC Nifty 50 Index Fund share 25% of their portfolios. Two funds this different are doing different things; whether that is what you want is a separate question.

Side by side

record, cost, returns, drawdown, size

MeasureDSP Nifty Private Bank IndexHDFC Nifty 50 Index
CategoryIndex FundsIndex Funds
Share of three-year stretches it beat its category P4not measured50% of 109
Regular plan costs more than Direct by, a year P50.73%not measured
Portfolio turned over a year P179%32%
Run by P7Anil Ghelani · ≥ 1.2 yrsnot known
1-year return1.7%−6.5%
3 years p.a.6.7%
5 years p.a.6.7%
Deepest fall (max drawdown)−17.3%−15.6%
Assets (AUM)₹106 Cr₹24,138 Cr
Disclosed history1.5 yrs1.8 yrs
Holdings · top ten weight12 · 100%52 · 53%

Funds in different categories are not comparable on returns — a category error is the first thing the postulates refuse to make. Compare each to its own category on its fund page.