C₃⋊D₃×C₂₉×C₄₁ #36339092

order	21402
automorphism	?
homology	Abelianization (H₁) = C₂×C₂₉×C₄₁ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃⋊D₃×C₂₉×C₄₁
unambiguous semidirect product	C₃⋊(D₃×C₂₉×C₄₁)

	subgroup	G/H
center, hypercenter	C₂₉×C₄₁	C₃⋊D₃
commutator, cosocle, hypocenter	C₃²	C₂×C₂₉×C₄₁
Frattini	C₁	G
Fitting, socle	C₃²×C₂₉×C₄₁	C₂
LCS	G ▷ C₃²
UCS	C₁ ◁ C₂₉×C₄₁

48 conjugacy classes of subgroups.

μ_t(G) = 10701

7134 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21402, 17);