C₃×C₁₃⋊C₃×C₂₆₉ #44538320

order	31473
automorphism	?
homology	Abelianization (H₁) = C₃²×C₂₆₉ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃×C₁₃⋊C₃×C₂₆₉
unambiguous semidirect product	C₁₃⋊(C₃²×C₂₆₉)
unambiguous semidirect product	(C₃×C₁₃)⋊(C₃×C₂₆₉)
unambiguous semidirect product	(C₁₃×C₂₆₉)⋊C₃²
unambiguous semidirect product	(C₃×C₁₃×C₂₆₉)⋊C₃

	subgroup	G/H
center, hypercenter	C₃×C₂₆₉	C₁₃⋊C₃
commutator, cosocle, hypocenter	C₁₃	C₃²×C₂₆₉
Frattini	C₁	G
Fitting, socle	C₃×C₁₃×C₂₆₉	C₃
LCS	G ▷ C₁₃
UCS	C₁ ◁ C₃×C₂₆₉

24 conjugacy classes of subgroups.

μ_t(G) = 10491

5649 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31473, 4);