C₃×C₅×C₁₃×C₄₃⋊C₃ #38737688

order	25155
automorphism	?
homology	Abelianization (H₁) = C₃²×C₅×C₁₃ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃×C₅×C₁₃×C₄₃⋊C₃
unambiguous semidirect product	C₄₃⋊(C₃²×C₅×C₁₃)
unambiguous semidirect product	(C₃×C₄₃)⋊(C₃×C₅×C₁₃)
unambiguous semidirect product	(C₅×C₄₃)⋊(C₃²×C₁₃)
unambiguous semidirect product	(C₃×C₅×C₄₃)⋊(C₃×C₁₃)

	subgroup	G/H
center, hypercenter	C₃×C₅×C₁₃	C₄₃⋊C₃
commutator, cosocle, hypocenter	C₄₃	C₃²×C₅×C₁₃
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₃×C₄₃	C₃
LCS	G ▷ C₄₃
UCS	C₁ ◁ C₃×C₅×C₁₃

48 conjugacy classes of subgroups.

μ_t(G) = 8385

3315 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25155, 8);