C₃⋊C₈×C₁₉⋊C₃ #13062945

order	1368
isoclinism	isoclinic class of D₃×C₁₉⋊C₃
automorphism	?
homology	Abelianization (H₁) = C₃×C₈ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃⋊C₈×C₁₉⋊C₃
unambiguous semidirect product	C₃⋊(C₈×C₁₉⋊C₃)
unambiguous semidirect product	(C₁₉×C₃⋊C₈)⋊C₃

	subgroup	G/H
center, Frattini, hypercenter	C₄	D₃×C₁₉⋊C₃
commutator, hypocenter	C₃×C₁₉	C₃×C₈
Fitting, cosocle	C₃×C₄×C₁₉	C₂×C₃
socle	C₂×C₃×C₁₉	C₃×C₄
prime radical	C₂×C₃×C₁₉⋊C₃	C₄
LCS	G ▷ C₃×C₁₉
UCS	C₁ ◁ C₄

38 conjugacy classes of subgroups.

minimal degree	μ(G) = 30
transitive degree	μ_t(G) = 456

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1368, 45);