A052487 Number of maximal irreducible integral matrix groups in n dimensions.

1, 2, 3, 6, 7, 17, 7, 26, 20, 46, 9

Offset: 1

Author

Frederick G. Schmitt (fred(AT)marin.cc.ca.us), Mar 16 2000

Keywords

• nonn
• more
• nice

References

• Peter Engel, Geometric Crystallography, D. Reidel, Dordrecht, Holland, 1986. ISBN 90-277-2339-7. See Table 6.3, p. 111.

Links

• J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices II: Subgroups of GL(n,Z), Proc. Royal Soc. London, A 419 (1988), 29-68, doi:10.1098/rspa.1988.0095.
• Bernd Souvignier, Irreducible finite integral matrix groups of degree 8 and 10, Math. Comp. 63 (1994), 335-350.

Crossrefs

Cf. A004027.

Extensions

a(10) from Souvignier and a(11) from Conway & Sloane added by Andrey Zabolotskiy, Apr 17 2023