D₇×C₁₇×ΓL(1,𝔽₃₂) #49146273

order	36890
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₁₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₇×C₁₇×ΓL(1,𝔽₃₂)
unambiguous semidirect product	C₇⋊(C₂×C₁₇×ΓL(1,𝔽₃₂))
unambiguous semidirect product	(D₇×C₃₁)⋊(C₅×C₁₇)
unambiguous semidirect product	(D₇×C₁₇×C₃₁)⋊C₅

	subgroup	G/H
center, hypercenter	C₁₇	D₇×ΓL(1,𝔽₃₂)
commutator, cosocle, hypocenter	C₇×C₃₁	C₂×C₅×C₁₇
Frattini	C₁	G
Fitting, socle	C₇×C₁₇×C₃₁	C₂×C₅
LCS	G ▷ C₇×C₃₁
UCS	C₁ ◁ C₁₇

32 conjugacy classes of subgroups.

μ_t(G) = 3689

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36890, 21);