List questions from groups-enumeration

Published on 25 Mar 2026 - 11:06

243

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How many groups of order $2500$ are there?

Published on 25 Mar 2026 - 11:02

235

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How many groups of order $815,409=3^2\times 7^2\times 43^2$ are there?

Published on 25 Mar 2026 - 9:28

121

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Number of $p$-groups of small order and of exponent $p$

Published on 25 Mar 2026 - 9:29

473

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Non-isomorphic groups with identical structure-description

Published on 25 Mar 2026 - 9:25

313

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Number of groups of order $9261$?

Published on 05 Apr 2026 - 23:07

183

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Is there a typo in the formula or does my GAP-package sglppow fail?

Published on 25 Mar 2026 - 11:02

106

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Is it known whether all prime powers $p^k$ with $k\ge 8$ are group-abundant?

Published on 25 Mar 2026 - 9:28

68

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Can the number of order-sequences of a group of order $n$ be determined efficiently?

Published on 25 Mar 2026 - 9:29

4.9k

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Only two groups of order $10$: $C_{10}$ and $D_{10}$

Published on 25 Mar 2026 - 16:02

527

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Classifying groups of order $6$ using semidirect products

Published on 11 Apr 2026 - 19:37

54

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Are there $5$ non-cyclic groups of order $2^n$ with an element of order $2^{n-1}\ $?

Published on 25 Mar 2026 - 9:29

7.1k

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Classify groups of order $36$

Published on 05 Apr 2026 - 15:38

978

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Classification of groups of order 8

Published on 25 Mar 2026 - 9:26

212

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Number of $p$-groups with order $p^k$ and $|Z|=p$

Published on 25 Mar 2026 - 9:28

List Question

How can I calculate $\operatorname{gnu}(17^3\times 2)=\operatorname{gnu}(9826)$ with GAP?

How many groups of order $2500$ are there?

How many groups of order $815,409=3^2\times 7^2\times 43^2$ are there?

Number of $p$-groups of small order and of exponent $p$

Non-isomorphic groups with identical structure-description

Number of groups of order $9261$?

Is there a typo in the formula or does my GAP-package sglppow fail?

Is it known whether all prime powers $p^k$ with $k\ge 8$ are group-abundant?

Can the number of order-sequences of a group of order $n$ be determined efficiently?

Only two groups of order $10$: $C_{10}$ and $D_{10}$

Classifying groups of order $6$ using semidirect products

Are there $5$ non-cyclic groups of order $2^n$ with an element of order $2^{n-1}\ $?

Classify groups of order $36$

Classification of groups of order 8

Number of $p$-groups with order $p^k$ and $|Z|=p$

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