C₂×#4935 #82061

order	384
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

888 conjugacy classes of subgroups.

minimal degree	μ(G) = 17
transitive degree	μ_t(G) = 384

A minimal faithful permutation representation — 4 generators on 17 points:

(3,4,5)(6,7,8,9);(10,11,12,13);(4,5)(7,9)(11,13)(14,15,16,17);(1,2)

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(384, 14637);