C₃²×C₁₀₈₇⋊C₃ #44440211

order	29349
automorphism	?
homology	Abelianization (H₁) = C₃³ · Schur multiplier (H₂) = C₃³

Aliases

direct product	C₃²×C₁₀₈₇⋊C₃
unambiguous semidirect product	C₁₀₈₇⋊C₃³
unambiguous semidirect product	(C₃×C₁₀₈₇)⋊C₃²

Fitting, socle	C₃²×C₁₀₈₇ ⋊ C₃
derived, Sylow	C₁₀₈₇ ⋊ C₃³

	subgroup	G/H
center, hypercenter	C₃²	C₁₀₈₇⋊C₃
commutator, cosocle, hypocenter	C₁₀₈₇	C₃³
Frattini	C₁	G
Fitting, socle	C₃²×C₁₀₈₇	C₃
LCS	G ▷ C₁₀₈₇
UCS	C₁ ◁ C₃²

56 conjugacy classes of subgroups.

μ_t(G) = 9783

3285 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29349, 13);