C₃⋊D₃×C₁₈₇₁ #46797635

order	33678
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₈₇₁ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃⋊D₃×C₁₈₇₁
unambiguous semidirect product	C₃⋊(D₃×C₁₈₇₁)

Fitting, socle, Hall	C₃²×C₁₈₇₁ ⋊ C₂
derived, Sylow	C₃² ⋊ C₂×C₁₈₇₁

	subgroup	G/H
center, hypercenter	C₁₈₇₁	C₃⋊D₃
commutator, cosocle, hypocenter	C₃²	C₂×C₁₈₇₁
Frattini	C₁	G
Fitting, socle	C₃²×C₁₈₇₁	C₂
LCS	G ▷ C₃²
UCS	C₁ ◁ C₁₈₇₁

24 conjugacy classes of subgroups.

μ_t(G) = 16839

11226 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33678, 9);