C₇×C₁₉×D₁₂₁ #44565676

order	32186
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇×C₁₉×D₁₂₁
unambiguous semidirect product	C₁₂₁⋊(C₂×C₇×C₁₉)

	subgroup	G/H
center, hypercenter	C₇×C₁₉	D₁₂₁
commutator, cosocle, hypocenter	C₁₂₁	C₂×C₇×C₁₉
Frattini	C₁₁	C₇×C₁₉×D₁₁
Fitting	C₇×C₁₉×C₁₂₁	C₂
socle	C₇×C₁₁×C₁₉	D₁₁
LCS	G ▷ C₁₂₁
UCS	C₁ ◁ C₇×C₁₉

24 conjugacy classes of subgroups.

μ_t(G) = 16093

8246 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32186, 3);