D₁₃×D₆₁⋊C₉ #43269667

order	28548
automorphism	?
homology	Abelianization (H₁) = C₂²×C₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₁₃×D₆₁⋊C₉
unambiguous semidirect product	D₆₁⋊(C₉×D₁₃)
unambiguous semidirect product	(C₁₃×D₆₁⋊C₉)⋊C₂
unambiguous semidirect product	(D₁₃×C₆₁⋊C₉)⋊C₂
unambiguous semidirect product	((C₆₁⋊C₉)⋊D₁₃)⋊C₂

	subgroup	G/H
center, Frattini, hypercenter	C₃	D₁₃×D₆₁⋊C₃
commutator, hypocenter	C₁₃×C₆₁	C₂²×C₉
Fitting, socle, cosocle	C₃×C₁₃×C₆₁	C₂²×C₃
prime radical	C₃×D₁₃×D₆₁	C₃
LCS	G ▷ C₁₃×C₆₁
UCS	C₁ ◁ C₃

60 conjugacy classes of subgroups.

μ_t(G) = 7137

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28548, 53);