C₅×C₄₇×D₅₁ #37561793

order	23970
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₄₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×C₄₇×D₅₁
unambiguous semidirect product	C₃⋊(C₅×D₁₇×C₄₇)
unambiguous semidirect product	C₁₇⋊(C₅×D₃×C₄₇)

	subgroup	G/H
center, hypercenter	C₅×C₄₇	D₅₁
commutator, cosocle, hypocenter	C₃×C₁₇	C₂×C₅×C₄₇
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₇×C₄₇	C₂
LCS	G ▷ C₃×C₁₇
UCS	C₁ ◁ C₅×C₄₇

32 conjugacy classes of subgroups.

μ_t(G) = 11985

6345 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23970, 11);