order	208
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂×C₃×C₄² (order 96) · Inn(G) = C₁ · Out(G) = C₂×C₃×C₄²
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₂₀₈
abelian	C₁₃×C₁₆

Subgroups

10 conjugacy classes of subgroups.

minimal degree	μ(G) = 29
transitive degree	μ_t(G) = 208

A minimal faithful permutation representation — 1 generator on 29 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)(17,18,19,20,21,22,23,24,25,26,27,28,29)

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(208, 2);