D₁₃×C₂₉×C₄₁ #44525643

order	30914
automorphism	?
homology	Abelianization (H₁) = C₂×C₂₉×C₄₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₁₃×C₂₉×C₄₁
unambiguous semidirect product	C₁₃⋊(C₂×C₂₉×C₄₁)

	subgroup	G/H
center, hypercenter	C₂₉×C₄₁	D₁₃
commutator, cosocle, hypocenter	C₁₃	C₂×C₂₉×C₄₁
Frattini	C₁	G
Fitting, socle	C₁₃×C₂₉×C₄₁	C₂
LCS	G ▷ C₁₃
UCS	C₁ ◁ C₂₉×C₄₁

16 conjugacy classes of subgroups.

μ_t(G) = 15457

9512 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30914, 5);