Geodesic
The Character Tables for SL(3, q), SU(3, q 2), PSL(3, q), PSU(3, q 2)
Canadian journal of mathematics, Tome 25 (1973) no. 3, pp. 486-494

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In this paper the character table of GL(3, q) (U(3, q2)), the group of all nonsingular n × n (unitary) matrices over GF(q) (GF(q2)), is used to obtain the character tables for the related subgroups SL(3, q), PSL(3, q) (SU(3, q2), PSU(3, q2)), the corresponding groups of matrices of determinant unity and the projective group respectively. There are very few abstract character tables which hold for entire families of groups. Such tables are of much greater value than tables for specific groups because, among other things, they enable one to discern various patterns common to the whole family. 
Simpson, William A.; Frame, J. Sutherland. The Character Tables for SL(3, q), SU(3, q 2), PSL(3, q), PSU(3, q 2). Canadian journal of mathematics, Tome 25 (1973) no. 3, pp. 486-494. doi: 10.4153/CJM-1973-049-7
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[1] 1. Dickson, L. E., Linear groups (Dover, New York, 1958). Google Scholar

[2] 2. Ennola, V., Characters of finite unitary groups, Ann. Acad. Sci. Fenn. Ser. A, I. 323 (1963), 120–55. Google Scholar

[3] 3. Ennola, V., Conjugacy classes of the finite unitary groups, Ann. Acad. Sci. Fenn. Ser. A, 1. 313 (1962), 1–12. Google Scholar

[4] 4. Gorenstein, D., Finite groups (Harper and Row, New York, 1968). Google Scholar

[5] 5. Green, J. A., Characters of the finite general linear groups, Trans. Amer. Math. Soc. 80 (1955), 407–77. Google Scholar

[6] 6. Jordan, H. E., Characteristics of various linear groups, Amer. J. Math. 39 (1907), 387–405. Google Scholar

[7] 7. Schur, I., Untersuchungen Uber Die Darstellung Der Endlichen Gruppen Durch Gebrochene Lineare Substitutionen, J. Reine Angew. Math. 132 (1907), 85–137. Google Scholar

[8] 8. Steinberg, R., The Representations of GL(3, q)t GL(4, q), PGL(3, q), and PGL(4, q), Can. J. Math. 3 (1951), 225–35. Google Scholar

[9] 9. Wall, G. E., The conjugacy classes of classical groups, J. Austral. Math. Soc. 3 (1965), 1–62. Google Scholar

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