C₃×A₄×C₁₉×C₄₇ #44565348

order	32148
automorphism	?
homology	Abelianization (H₁) = C₃²×C₁₉×C₄₇ · Schur multiplier (H₂) = C₂×C₃

Aliases

direct product	C₃×A₄×C₁₉×C₄₇
unambiguous semidirect product	C₂²⋊(C₃²×C₁₉×C₄₇)
unambiguous semidirect product	(C₂²×C₃)⋊(C₃×C₁₉×C₄₇)
unambiguous semidirect product	(C₂²×C₄₇)⋊(C₃²×C₁₉)
unambiguous semidirect product	(C₂²×C₃×C₄₇)⋊(C₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₃×C₁₉×C₄₇	A₄
commutator, cosocle, hypocenter	C₂²	C₃²×C₁₉×C₄₇
Frattini	C₁	G
Fitting, socle	C₂²×C₃×C₁₉×C₄₇	C₃
LCS	G ▷ C₂²
UCS	C₁ ◁ C₃×C₁₉×C₄₇

56 conjugacy classes of subgroups.

μ_t(G) = 10716

10716 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32148, 108);