C₅×D₇×C₁₇×C₃₁ #49146258

order	36890
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₁₇×C₃₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×D₇×C₁₇×C₃₁
unambiguous semidirect product	C₇⋊(C₂×C₅×C₁₇×C₃₁)

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

32 conjugacy classes of subgroups.

μ_t(G) = 18445

13175 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36890, 6);