C₁₈₇₁⋊C₁₆ #44471784

order	29936
automorphism	?
homology	Abelianization (H₁) = C₁₆ · Schur multiplier (H₂) = C₁

Aliases

C₁₈₇₁⋊C₁₆

C₁₈₇₁ ⋊ C₁₆

	subgroup	G/H
center, Frattini, hypercenter	C₈	D₁₈₇₁
commutator, hypocenter	C₁₈₇₁	C₁₆
Fitting, cosocle	C₈×C₁₈₇₁	C₂
socle, prime radical	C₂×C₁₈₇₁	C₈
LCS	G ▷ C₁₈₇₁
UCS	C₁ ◁ C₈

10 conjugacy classes of subgroups.

μ_t(G) = 29936

Polycyclic presentation:

2^4,1871|a^2=b,b^2=c,c^2=d,e^a=e^1870

7496 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29936, 15);