The world number three side eased to their third win of the group stage on Sunday to set up a meeting with holders and hosts Australia in the next round.
England were expected to avoid the Commonwealth champions but the Diamonds fell to a shock 52-47 defeat by New Zealand to finish second in Pool A.
Meanwhile, Wales made it two wins from two games with a 71-44 victory over Zambia in Pool D.
Elsewhere, Malawi beat Singapore 75-31 to finish top of Pool C, while Trinidad and Tobago won 55-39 against Barbados in Pool A.