C₂×C₃⋊D₃×C₂₃×C₄₁ #46800458

order	33948
automorphism	?
homology	Abelianization (H₁) = C₂²×C₂₃×C₄₁ · Schur multiplier (H₂) = C₂×C₃

Aliases

direct product	C₂×C₃⋊D₃×C₂₃×C₄₁
unambiguous semidirect product	(C₂×C₃)⋊(D₃×C₂₃×C₄₁)

	subgroup	G/H
center, hypercenter	C₂×C₂₃×C₄₁	C₃⋊D₃
commutator, cosocle, hypocenter	C₃²	C₂²×C₂₃×C₄₁
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₂₃×C₄₁	C₂
LCS	G ▷ C₃²
UCS	C₁ ◁ C₂×C₂₃×C₄₁

120 conjugacy classes of subgroups.

μ_t(G) = 16974

11316 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33948, 85);