C₃×C₂₁₆₁⋊C₅ #44569504

order	32415
automorphism	?
homology	Abelianization (H₁) = C₃×C₅ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₂₁₆₁⋊C₅
unambiguous semidirect product	(C₃×C₂₁₆₁)⋊C₅

Fitting, socle, Hall	C₃×C₂₁₆₁ ⋊ C₅
derived, Sylow	C₂₁₆₁ ⋊ C₃×C₅

	subgroup	G/H
center, hypercenter	C₃	C₂₁₆₁⋊C₅
commutator, cosocle, hypocenter	C₂₁₆₁	C₃×C₅
Frattini	C₁	G
Fitting, socle	C₃×C₂₁₆₁	C₅
LCS	G ▷ C₂₁₆₁
UCS	C₁ ◁ C₃

8 conjugacy classes of subgroups.

μ_t(G) = 6483

1311 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32415, 2);