C₂×C₄₇×D₁₇₁ #44565269

order	32148
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄₇ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₄₇×D₁₇₁
unambiguous semidirect product	(C₂×C₉)⋊(D₁₉×C₄₇)
unambiguous semidirect product	(C₂×C₁₉)⋊(D₉×C₄₇)

	subgroup	G/H
center, hypercenter	C₂×C₄₇	D₁₇₁
commutator, cosocle, hypocenter	C₉×C₁₉	C₂²×C₄₇
Frattini	C₃	C₂×C₄₇×D₅₇
Fitting	C₂×C₉×C₁₉×C₄₇	C₂
socle	C₂×C₃×C₁₉×C₄₇	D₃
LCS	G ▷ C₉×C₁₉
UCS	C₁ ◁ C₂×C₄₇

60 conjugacy classes of subgroups.

μ_t(G) = 16074

8178 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32148, 29);