C₇×C₁₃×C₂²⋊(C₃₁⋊C₃) #46799605

order	33852
automorphism	?
homology	Abelianization (H₁) = C₃×C₇×C₁₃ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₇×C₁₃×C₂²⋊(C₃₁⋊C₃)
unambiguous semidirect product	C₂²⋊(C₇×C₁₃×C₃₁⋊C₃)
unambiguous semidirect product	C₃₁⋊(C₇×A₄×C₁₃)

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

40 conjugacy classes of subgroups.

μ_t(G) = 11284

4004 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33852, 400);