Families of abstract groups (reviewed)

The currently supported families of groups are:

• $C_n$ : Cyclic
• $S_n$ : Symmetric
• $D_n$ : Dihedral
• $A_n$ : Alternating
• $Q_n$ : (Generalized) Quaternion
• $F_n$ : Frobenius
• $\SD_n$ : Semi-dihedral
• $\OD_n$ : Other-dihedral
• $\He_n$ : Heisenberg
• $\Dic_n$ : Dicyclic
• $M_{11}, M_{12}, J_1, M_{22}, J_2, M_{23}, \HS, J_3, M_{24}, \McL, \He, \Ru, \Co_3, \Co_2$ : Sporadic
• $\GL(n,q)$ : General linear
• $\SL(n,q)$ : Special linear
• $\PGL(n,q)$ : Projective general linear
• $\PSL(n,q)$ : Projective special linear
• $\Sp(n,q)$ : Symplectic
• $\PSp(n,q)$ : Projective symplectic
• $\GO(n,q)$ : General orthogonal
• $\GOPlus(n,q)$ : General orthogonal (plus)
• $\GOMinus(n,q)$ : General orthogonal (minus)
• $\SO(n,q)$ : Special orthogonal
• $\SOPlus(n,q)$ : Special orthogonal (plus)
• $\SOMinus(n,q)$ : Special orthogonal (minus)
• $\PGO(n,q)$ : Projective orthogonal
• $\PGOPlus(n,q)$ : Projective orthogonal (plus)
• $\PGOMinus(n,q)$ : Projective orthogonal (minus)
• $\PSO(n,q)$ : Projective special orthogonal
• $\PSOPlus(n,q)$ : Projective special orthogonal (plus)
• $\PSOMinus(n,q)$ : Projective special orthogonal (minus)
• $\GU(n,q)$ : General unitary
• $\SU(n,q)$ : Special unitary
• $\PGU(n,q)$ : Projective unitary
• $\PSU(n,q)$ : Projective special unitary
• $\Omega(n,q)$ : Omega
• $\OmegaPlus(n,q)$ : Omega (plus)
• $\OmegaMinus(n,q)$ : Omega (minus)
• $\POmega(n,q)$ : Projective omega
• $\POmegaPlus(n,q)$ : Projective omega (plus)
• $\POmegaMinus(n,q)$ : Projective omega (minus)
• $\Spin(n,q)$ : Spin
• $\SpinPlus(n,q)$ : Spin (plus)
• $\SpinMinus(n,q)$ : Spin (minus)
• $\AGL(n,q)$ : Affine general linear
• $\ASL(n,q)$ : Affine special linear
• $\ASp(n,q)$ : Affine symplectic
• $\AGammaL(n,q)$ : Affine general linear automorphism
• $\ASigmaL(n,q)$ : Affine special linear automorphism
• $\PGammaL(n,q)$ : Projective general linear automorphism
• $\PSigmaL(n,q)$ : Projective special linear automorphism
• $\ASigmaSp(n,q)$ : Affine symplectic automorphism
• $\PSigmaSp(n,q)$ : Projective symplectic automorphism
• $\PGammaU(n,q)$ : Projective unitary automorphism group
• $\CSp(n,q)$ : Conformal symplectic
• $\CO(n,q)$ : Conformal orthogonal
• $\COPlus(n,q)$ : Conformal orthogonal (plus)
• $\COMinus(n,q)$ : Conformal orthogonal (minus)
• $\CSO(n,q)$ : Conformal special orthogonal
• $\CSOPlus(n,q)$ : Conformal special orthogonal (plus)
• $\CSOMinus(n,q)$ : Conformal special orthogonal (minus)
• $\CU(n,q)$ : Conformal unitary
• $\CSU(n,q)$ : Conformal special unitary
• $A(n,q), B(n,q), C(n,q), D(n,q), E(n,q), F(4,q), G(2,q)$ : Chevalley
• ${}^2A(n,q), {}^2B(n,2^{2k+1}), {}^2D(n,q), {}^3D(4,q), {}^2E(6,q), {}^2F(4,2), {}^2G(2, 3)$: Twisted Chevalley
• $W(A_n), W(B_n), W(D_n), W(E_n), W(F_4), H_n, I_2(n)$: Coxeter