C₇×C₁₉×D₁₀₁ #41001769

order	26866
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇×C₁₉×D₁₀₁
unambiguous semidirect product	C₁₀₁⋊(C₂×C₇×C₁₉)

	subgroup	G/H
center, hypercenter	C₇×C₁₉	D₁₀₁
commutator, cosocle, hypocenter	C₁₀₁	C₂×C₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₇×C₁₉×C₁₀₁	C₂
LCS	G ▷ C₁₀₁
UCS	C₁ ◁ C₇×C₁₉

16 conjugacy classes of subgroups.

μ_t(G) = 13433

6916 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26866, 2);