C₁₃×D₇×D₉₃ #46799589

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

Aliases

direct product	C₁₃×D₇×D₉₃
unambiguous semidirect product	(C₃×D₇)⋊(C₁₃×D₃₁)
unambiguous semidirect product	(D₇×C₃₁)⋊(D₃×C₁₃)

	subgroup	G/H
center, hypercenter	C₁₃	D₇×D₉₃
commutator, cosocle, hypocenter	C₃×C₇×C₃₁	C₂²×C₁₃
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₃×C₃₁	C₂²
LCS	G ▷ C₃×C₇×C₃₁
UCS	C₁ ◁ C₁₃

80 conjugacy classes of subgroups.

μ_t(G) = 8463

3120 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33852, 384);