A₄×C₁₉×C₆₁ #28358098

order	13908
isoclinism	isoclinic class of A₄
automorphism	?
homology	Abelianization (H₁) = C₃×C₁₉×C₆₁ · Schur multiplier (H₂) = C₂

Aliases

direct product	A₄×C₁₉×C₆₁
unambiguous semidirect product	C₂²⋊(C₃×C₁₉×C₆₁)

	subgroup	G/H
center, hypercenter	C₁₉×C₆₁	A₄
commutator, cosocle, hypocenter	C₂²	C₃×C₁₉×C₆₁
Frattini	C₁	G
Fitting, socle	C₂²×C₁₉×C₆₁	C₃
LCS	G ▷ C₂²
UCS	C₁ ◁ C₁₉×C₆₁

20 conjugacy classes of subgroups.

μ_t(G) = 4636

4636 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13908, 65);