D₇×C₁₉×C₁₀₁ #41001772

order	26866
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉×C₁₀₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₇×C₁₉×C₁₀₁
unambiguous semidirect product	C₇⋊(C₂×C₁₉×C₁₀₁)

	subgroup	G/H
center, hypercenter	C₁₉×C₁₀₁	D₇
commutator, cosocle, hypocenter	C₇	C₂×C₁₉×C₁₀₁
Frattini	C₁	G
Fitting, socle	C₇×C₁₉×C₁₀₁	C₂
LCS	G ▷ C₇
UCS	C₁ ◁ C₁₉×C₁₀₁

16 conjugacy classes of subgroups.

μ_t(G) = 13433

9595 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26866, 5);