C₅×D₁₃×D₁₃₁ #46801545

order	34060
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅ · Schur multiplier (H₂) = C₂

Aliases

C₅×D₁₃×D₁₃₁

	subgroup	G/H
center, hypercenter	C₅	D₁₃×D₁₃₁
commutator, cosocle, hypocenter	C₁₃×C₁₃₁	C₂²×C₅
Frattini	C₁	G
Fitting, socle	C₅×C₁₃×C₁₃₁	C₂²
LCS	G ▷ C₁₃×C₁₃₁
UCS	C₁ ◁ C₅

40 conjugacy classes of subgroups.

μ_t(G) = 8515

2680 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34060, 38);