C₃×C₂₃×C₂²⋊(C₃₁⋊C₃) #38787352

order	25668
automorphism	?
homology	Abelianization (H₁) = C₃²×C₂₃ · Schur multiplier (H₂) = C₂×C₃

Aliases

direct product	C₃×C₂₃×C₂²⋊(C₃₁⋊C₃)
unambiguous semidirect product	(C₂²×C₃)⋊(C₂₃×C₃₁⋊C₃)
unambiguous semidirect product	(C₃×C₃₁)⋊(A₄×C₂₃)
unambiguous semidirect product	(C₂²×C₃×C₂₃)⋊(C₃₁⋊C₃)
unambiguous semidirect product	(C₃×C₂₃×C₃₁)⋊A₄

	subgroup	G/H
center, hypercenter	C₃×C₂₃	C₂²⋊(C₃₁⋊C₃)
commutator, cosocle, hypocenter	C₂²×C₃₁	C₃²×C₂₃
Frattini	C₁	G
Fitting, socle	C₂²×C₃×C₂₃×C₃₁	C₃
LCS	G ▷ C₂²×C₃₁
UCS	C₁ ◁ C₃×C₂₃

56 conjugacy classes of subgroups.

μ_t(G) = 8556

3036 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25668, 99);