D₅×C₁₉×C₁₆₇ #44540599

order	31730
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉×C₁₆₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₅×C₁₉×C₁₆₇
unambiguous semidirect product	C₅⋊(C₂×C₁₉×C₁₆₇)

	subgroup	G/H
center, hypercenter	C₁₉×C₁₆₇	D₅
commutator, cosocle, hypocenter	C₅	C₂×C₁₉×C₁₆₇
Frattini	C₁	G
Fitting, socle	C₅×C₁₉×C₁₆₇	C₂
LCS	G ▷ C₅
UCS	C₁ ◁ C₁₉×C₁₆₇

16 conjugacy classes of subgroups.

μ_t(G) = 15865

12692 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31730, 5);