C₃×D₅×C₁₇×C₄₇ #37561787

order	23970
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₇×C₄₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×D₅×C₁₇×C₄₇
unambiguous semidirect product	C₅⋊(C₂×C₃×C₁₇×C₄₇)

	subgroup	G/H
center, hypercenter	C₃×C₁₇×C₄₇	D₅
commutator, cosocle, hypocenter	C₅	C₂×C₃×C₁₇×C₄₇
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₇×C₄₇	C₂
LCS	G ▷ C₅
UCS	C₁ ◁ C₃×C₁₇×C₄₇

32 conjugacy classes of subgroups.

μ_t(G) = 11985

9588 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23970, 5);