C₅×C₁₉×D₁₆₇ #44540596

order	31730
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×C₁₉×D₁₆₇
unambiguous semidirect product	C₁₆₇⋊(C₂×C₅×C₁₉)

	subgroup	G/H
center, hypercenter	C₅×C₁₉	D₁₆₇
commutator, cosocle, hypocenter	C₁₆₇	C₂×C₅×C₁₉
Frattini	C₁	G
Fitting, socle	C₅×C₁₉×C₁₆₇	C₂
LCS	G ▷ C₁₆₇
UCS	C₁ ◁ C₅×C₁₉

16 conjugacy classes of subgroups.

μ_t(G) = 15865

8075 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31730, 2);