C₄₃×D₂₇₁ #37551972

order	23306
automorphism	?
homology	Abelianization (H₁) = C₂×C₄₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₄₃×D₂₇₁
unambiguous semidirect product	C₂₇₁⋊(C₂×C₄₃)

Fitting, socle, Hall	C₄₃×C₂₇₁ ⋊ C₂
derived, Sylow	C₂₇₁ ⋊ C₂×C₄₃

	subgroup	G/H
center, hypercenter	C₄₃	D₂₇₁
commutator, cosocle, hypocenter	C₂₇₁	C₂×C₄₃
Frattini	C₁	G
Fitting, socle	C₄₃×C₂₇₁	C₂
LCS	G ▷ C₂₇₁
UCS	C₁ ◁ C₄₃

8 conjugacy classes of subgroups.

μ_t(G) = 11653

5891 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23306, 2);