C₇₁×D₁₃₇ #34085591

order	19454
automorphism	?
homology	Abelianization (H₁) = C₂×C₇₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇₁×D₁₃₇
unambiguous semidirect product	C₁₃₇⋊(C₂×C₇₁)

Fitting, socle, Hall	C₇₁×C₁₃₇ ⋊ C₂
derived, Sylow	C₁₃₇ ⋊ C₂×C₇₁

	subgroup	G/H
center, hypercenter	C₇₁	D₁₃₇
commutator, cosocle, hypocenter	C₁₃₇	C₂×C₇₁
Frattini	C₁	G
Fitting, socle	C₇₁×C₁₃₇	C₂
LCS	G ▷ C₁₃₇
UCS	C₁ ◁ C₇₁

8 conjugacy classes of subgroups.

μ_t(G) = 9727

4970 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19454, 2);