[1X[5XPrimGrp[105X[101X [1X[5XGAP[105X Primitive Permutation Groups Library[101X Version 3.4.3 10 December 2022 Alexander Hulpke Colva Roney-Dougal Christopher Russell Alexander Hulpke Email: [7Xmailto:hulpke@math.colostate.edu[107X Homepage: [7Xhttps://www.math.colostate.edu/~hulpke/[107X Address: [33X[0;14YDepartment of Mathematics[133X [33X[0;14YColorado State University[133X [33X[0;14YFort Collins, CO, 80523-1874, USA[133X Colva Roney-Dougal Email: [7Xmailto:colva.roney-dougal@st-andrews.ac.uk[107X Homepage: [7Xhttp://www-groups.mcs.st-and.ac.uk/~colva/[107X Address: [33X[0;14YSchool of Mathematics and Statistics[133X [33X[0;14YUniversity of St Andrews[133X [33X[0;14YNorth Haugh, St Andrews[133X [33X[0;14YFife, KY16 9SXS Scotland[133X Christopher Russell Email: [7Xmailto:cr66@st-andrews.ac.uk[107X Address: [33X[0;14YSchool of Mathematics and Statistics[133X [33X[0;14YUniversity of St Andrews[133X [33X[0;14YNorth Haugh, St Andrews[133X [33X[0;14YFife, KY16 9SXS Scotland[133X ------------------------------------------------------- [1XAbstract[101X [33X[0;0YThe [5XGAP[105X package [5XPrimGrp[105X provides the library of primitive permutation groups which includes, up to permutation isomorphism (i.e., up to conjugacy in the corresponding symmetric group), all primitive permutation groups of degree < 4096.[133X ------------------------------------------------------- [1XCopyright[101X [33X[0;0Y© 2007-2022 by Alexander Hulpke and Colva Roney-Dougal[133X [33X[0;0Y[5XPrimGrp[105X is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. For details, see the FSF's own site [7Xhttps://www.gnu.org/licenses/gpl.html[107X.[133X [33X[0;0YIf you obtained [5XPrimGrp[105X, we would be grateful for a short notification sent to one of the authors.[133X [33X[0;0YIf you publish a result which was partially obtained with the usage of [5XPrimGrp[105X, please cite it in the following form:[133X [33X[0;0YA. Hulpke, C. Roney-Dougal, C. Russell. [13XPrimGrp --- GAP Primitive Permutation Groups Library, Version 3.4.3;[113X 2022 ([7Xhttps://gap-packages.github.io/primgrp/[107X).[133X ------------------------------------------------------- [1XAcknowledgements[101X [33X[0;0YThe conversion of the [5XGAP[105X database of primitive permutation groups to a separate [5XGAP[105X package has been supported by the EPSRC Collaborative Computational Project EP/M022641/1 CoDiMa (CCP in the area of Computational Discrete Mathematics), [7Xhttps://www.codima.ac.uk/[107X.[133X ------------------------------------------------------- [1XContents (primgrp)[101X 1 [33X[0;0YPrimitive Permutation Groups[133X 1.1 [33X[0;0YPrimitive Permutation Groups[133X 1.1-1 PrimitiveGroup 1.1-2 NrPrimitiveGroups 1.1-3 AllPrimitiveGroups 1.1-4 OnePrimitiveGroup 1.1-5 PrimitiveGroupsIterator 1.1-6 COHORTS_PRIMITIVE_GROUPS 1.2 [33X[0;0YIndex numbers of primitive groups[133X 1.2-1 PrimitiveIdentification 1.2-2 SimsNo 1.2-3 PRIMITIVE_INDICES_MAGMA 2 [33X[0;0YIrreducible Matrix Groups[133X 2.1 [33X[0;0YIrreducible Solvable Matrix Groups[133X 2.1-1 IrreducibleSolvableGroupMS 2.1-2 NumberIrreducibleSolvableGroups 2.1-3 AllIrreducibleSolvableGroups 2.1-4 OneIrreducibleSolvableGroup 2.1-5 PrimitiveIndexIrreducibleSolvableGroup 2.1-6 IrreducibleSolvableGroup [32X
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