C₃₁×D₂₁⋊D₁₃ #46799600

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

Aliases

direct product	C₃₁×D₂₁⋊D₁₃
unambiguous semidirect product	D₂₁⋊(D₁₃×C₃₁)
unambiguous semidirect product	D₃₉⋊(D₇×C₃₁)
unambiguous semidirect product	D₉₁⋊(D₃×C₃₁)

	subgroup	G/H
center, hypercenter	C₃₁	D₂₁⋊D₁₃
commutator, cosocle, hypocenter	C₃×C₇×C₁₃	C₂²×C₃₁
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₃×C₃₁	C₂²
LCS	G ▷ C₃×C₇×C₁₃
UCS	C₁ ◁ C₃₁

80 conjugacy classes of subgroups.

μ_t(G) = 8463

2697 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33852, 395);