C₇×C₁₃×C₁₇×ΓL(1,𝔽₈) #44570408

order	32487
automorphism	?
homology	Abelianization (H₁) = C₃×C₇×C₁₃×C₁₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇×C₁₃×C₁₇×ΓL(1,𝔽₈)
unambiguous semidirect product	C₇⋊(C₃×C₇×C₁₃×C₁₇)
unambiguous semidirect product	(C₇×C₁₇)⋊(C₃×C₇×C₁₃)

	subgroup	G/H
center, hypercenter	C₇×C₁₃×C₁₇	ΓL(1,𝔽₈)
commutator, cosocle, hypocenter	C₇	C₃×C₇×C₁₃×C₁₇
Frattini	C₁	G
Fitting, socle	C₇²×C₁₃×C₁₇	C₃
LCS	G ▷ C₇
UCS	C₁ ◁ C₇×C₁₃×C₁₇

40 conjugacy classes of subgroups.

μ_t(G) = 4641

7735 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32487, 8);