C₁₃×C₁₇×C₄₉⋊C₃ #44570403

order	32487
automorphism	?
homology	Abelianization (H₁) = C₃×C₁₃×C₁₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₃×C₁₇×C₄₉⋊C₃
unambiguous semidirect product	C₄₉⋊(C₃×C₁₃×C₁₇)
unambiguous semidirect product	(C₁₇×C₄₉)⋊(C₃×C₁₃)

	subgroup	G/H
center, hypercenter	C₁₃×C₁₇	C₄₉⋊C₃
commutator, cosocle, hypocenter	C₄₉	C₃×C₁₃×C₁₇
Frattini	C₇	C₁₃×C₁₇×ΓL(1,𝔽₈)
Fitting	C₁₃×C₁₇×C₄₉	C₃
socle	C₇×C₁₃×C₁₇	ΓL(1,𝔽₈)
LCS	G ▷ C₄₉
UCS	C₁ ◁ C₁₃×C₁₇

24 conjugacy classes of subgroups.

μ_t(G) = 10829

4199 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32487, 3);