C₃×C₅×C₁₇×D₄₇ #37561784

order	23970
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₅×C₁₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₅×C₁₇×D₄₇
unambiguous semidirect product	C₄₇⋊(C₂×C₃×C₅×C₁₇)

	subgroup	G/H
center, hypercenter	C₃×C₅×C₁₇	D₄₇
commutator, cosocle, hypocenter	C₄₇	C₂×C₃×C₅×C₁₇
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₇×C₄₇	C₂
LCS	G ▷ C₄₇
UCS	C₁ ◁ C₃×C₅×C₁₇

32 conjugacy classes of subgroups.

μ_t(G) = 11985

6375 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23970, 2);