C₃×C₄₇×C₂²⋊(C₁₉⋊C₃) #44565349

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

Aliases

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

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

56 conjugacy classes of subgroups.

μ_t(G) = 10716

3948 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32148, 109);