C₅×C₇×C₃⋊D₃×C₄₇ #44444120

order	29610
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₇×C₄₇ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₅×C₇×C₃⋊D₃×C₄₇
unambiguous semidirect product	C₃⋊(C₅×D₃×C₇×C₄₇)

	subgroup	G/H
center, hypercenter	C₅×C₇×C₄₇	C₃⋊D₃
commutator, cosocle, hypocenter	C₃²	C₂×C₅×C₇×C₄₇
Frattini	C₁	G
Fitting, socle	C₃²×C₅×C₇×C₄₇	C₂
LCS	G ▷ C₃²
UCS	C₁ ◁ C₅×C₇×C₄₇

96 conjugacy classes of subgroups.

μ_t(G) = 14805

9870 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29610, 57);