C₆₁×D₁₆₃ #34091010

order	19886
automorphism	?
homology	Abelianization (H₁) = C₂×C₆₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₆₁×D₁₆₃
unambiguous semidirect product	C₁₆₃⋊(C₂×C₆₁)

Fitting, socle, Hall	C₆₁×C₁₆₃ ⋊ C₂
derived, Sylow	C₁₆₃ ⋊ C₂×C₆₁

	subgroup	G/H
center, hypercenter	C₆₁	D₁₆₃
commutator, cosocle, hypocenter	C₁₆₃	C₂×C₆₁
Frattini	C₁	G
Fitting, socle	C₆₁×C₁₆₃	C₂
LCS	G ▷ C₁₆₃
UCS	C₁ ◁ C₆₁

8 conjugacy classes of subgroups.

μ_t(G) = 9943

5063 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19886, 2);