D₃×C₁₃×D₇×C₃₁ #46799588

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

Aliases

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

	subgroup	G/H
center, hypercenter	C₁₃×C₃₁	D₃×D₇
commutator, cosocle, hypocenter	C₃×C₇	C₂²×C₁₃×C₃₁
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₃×C₃₁	C₂²
LCS	G ▷ C₃×C₇
UCS	C₁ ◁ C₁₃×C₃₁

80 conjugacy classes of subgroups.

μ_t(G) = 8463

6045 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33852, 383);