C₂₃×D₅₄₁ #38733490

order	24886
automorphism	?
homology	Abelianization (H₁) = C₂×C₂₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂₃×D₅₄₁
unambiguous semidirect product	C₅₄₁⋊(C₂×C₂₃)

Fitting, socle, Hall	C₂₃×C₅₄₁ ⋊ C₂
derived, Sylow	C₅₄₁ ⋊ C₂×C₂₃

	subgroup	G/H
center, hypercenter	C₂₃	D₅₄₁
commutator, cosocle, hypocenter	C₅₄₁	C₂×C₂₃
Frattini	C₁	G
Fitting, socle	C₂₃×C₅₄₁	C₂
LCS	G ▷ C₅₄₁
UCS	C₁ ◁ C₂₃

8 conjugacy classes of subgroups.

μ_t(G) = 12443

6256 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24886, 2);