C₂×C₅×C₇×C₁₅₁⋊C₃ #44540234

order	31710
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₅×C₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂×C₅×C₇×C₁₅₁⋊C₃
unambiguous semidirect product	(C₂×C₅×C₁₅₁)⋊(C₃×C₇)

	subgroup	G/H
center, hypercenter	C₂×C₅×C₇	C₁₅₁⋊C₃
commutator, cosocle, hypocenter	C₁₅₁	C₂×C₃×C₅×C₇
Frattini	C₁	G
Fitting, socle	C₂×C₅×C₇×C₁₅₁	C₃
LCS	G ▷ C₁₅₁
UCS	C₁ ◁ C₂×C₅×C₇

32 conjugacy classes of subgroups.

μ_t(G) = 10570

3710 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31710, 3);