Definition:Index of Subgroup/Also denoted as

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Index of Subgroup: Also denoted as

Other notations seen for the index $\index G H$ of a subgroup $H$ in a group $G$ include:

$\card {G : H}$
$\paren {G : H}$
$\operatorname {index} H$ (which is not recommended, as it does not indicate the group of which $H$ is a subgroup)


Some sources merely use the notation for the cardinality of the coset space and write $\card {G / H}$.


Sources

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