C₇×A₄×C₁₃×C₃₁ #46799604

order	33852
automorphism	?
homology	Abelianization (H₁) = C₃×C₇×C₁₃×C₃₁ · Schur multiplier (H₂) = C₂

Aliases

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

	subgroup	G/H
center, hypercenter	C₇×C₁₃×C₃₁	A₄
commutator, cosocle, hypocenter	C₂²	C₃×C₇×C₁₃×C₃₁
Frattini	C₁	G
Fitting, socle	C₂²×C₇×C₁₃×C₃₁	C₃
LCS	G ▷ C₂²
UCS	C₁ ◁ C₇×C₁₃×C₃₁

40 conjugacy classes of subgroups.

μ_t(G) = 11284

11284 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33852, 399);