GroupOrder[group]
returns the number of elements of group.


GroupOrder
GroupOrder[group]
returns the number of elements of group.
Details

- GroupOrder works with PermutationGroup objects and named groups.
- For permutation groups, the order is computed by constructing a strong generating set representation of the group.
Examples
open all close allProperties & Relations (1)
See Also
Tech Notes
Related Guides
History
Text
Wolfram Research (2010), GroupOrder, Wolfram Language function, https://reference.wolfram.com/language/ref/GroupOrder.html.
CMS
Wolfram Language. 2010. "GroupOrder." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/GroupOrder.html.
APA
Wolfram Language. (2010). GroupOrder. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/GroupOrder.html
BibTeX
@misc{reference.wolfram_2025_grouporder, author="Wolfram Research", title="{GroupOrder}", year="2010", howpublished="\url{https://reference.wolfram.com/language/ref/GroupOrder.html}", note=[Accessed: 15-August-2025]}
BibLaTeX
@online{reference.wolfram_2025_grouporder, organization={Wolfram Research}, title={GroupOrder}, year={2010}, url={https://reference.wolfram.com/language/ref/GroupOrder.html}, note=[Accessed: 15-August-2025]}