C₅×C₁₉×C₁₃⋊D₁₃ #44545772

order	32110
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₁₉ · Schur multiplier (H₂) = C₁₃

Aliases

direct product	C₅×C₁₉×C₁₃⋊D₁₃
unambiguous semidirect product	C₁₃⋊(C₅×C₁₉×D₁₃)

	subgroup	G/H
center, hypercenter	C₅×C₁₉	C₁₃⋊D₁₃
commutator, cosocle, hypocenter	C₁₃²	C₂×C₅×C₁₉
Frattini	C₁	G
Fitting, socle	C₅×C₁₃²×C₁₉	C₂
LCS	G ▷ C₁₃²
UCS	C₁ ◁ C₅×C₁₉

128 conjugacy classes of subgroups.

μ_t(G) = 16055

8170 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32110, 13);