C₂×C₁₃×C₃₁×D₂₁ #46799642

order	33852
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₃×C₃₁ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₁₃×C₃₁×D₂₁
unambiguous semidirect product	(C₂×C₃)⋊(C₁₃×D₇×C₃₁)
unambiguous semidirect product	(C₂×C₇)⋊(D₃×C₁₃×C₃₁)

	subgroup	G/H
center, hypercenter	C₂×C₁₃×C₃₁	D₂₁
commutator, cosocle, hypocenter	C₃×C₇	C₂²×C₁₃×C₃₁
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₇×C₁₃×C₃₁	C₂
LCS	G ▷ C₃×C₇
UCS	C₁ ◁ C₂×C₁₃×C₃₁

80 conjugacy classes of subgroups.

μ_t(G) = 16926

9672 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33852, 437);