C₁₄₇₁⋊C₂₅ #49145351

order	36775
automorphism	?
homology	Abelianization (H₁) = C₂₅ · Schur multiplier (H₂) = C₁

Aliases

C₁₄₇₁⋊C₂₅

C₁₄₇₁ ⋊ C₂₅

	subgroup	G/H
center, Frattini, hypercenter	C₅	C₁₄₇₁⋊C₅
commutator, hypocenter	C₁₄₇₁	C₂₅
Fitting, socle, prime radical, cosocle	C₅×C₁₄₇₁	C₅
LCS	G ▷ C₁₄₇₁
UCS	C₁ ◁ C₅

6 conjugacy classes of subgroups.

μ_t(G) = 36775

Polycyclic presentation:

5^2,1471|a^5=b,c^a=c^1394

1495 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36775, 1);