C₆₁×D₁₉₃ #37555360

order	23546
automorphism	?
homology	Abelianization (H₁) = C₂×C₆₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₆₁×D₁₉₃
unambiguous semidirect product	C₁₉₃⋊(C₂×C₆₁)

Fitting, socle, Hall	C₆₁×C₁₉₃ ⋊ C₂
derived, Sylow	C₁₉₃ ⋊ C₂×C₆₁

	subgroup	G/H
center, hypercenter	C₆₁	D₁₉₃
commutator, cosocle, hypocenter	C₁₉₃	C₂×C₆₁
Frattini	C₁	G
Fitting, socle	C₆₁×C₁₉₃	C₂
LCS	G ▷ C₁₉₃
UCS	C₁ ◁ C₆₁

8 conjugacy classes of subgroups.

μ_t(G) = 11773

5978 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23546, 2);