D₁₇×D₄₃⋊C₉ #39911615

order	26316
automorphism	?
homology	Abelianization (H₁) = C₂²×C₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₁₇×D₄₃⋊C₉
unambiguous semidirect product	D₄₃⋊(C₉×D₁₇)
unambiguous semidirect product	(D₁₇×D₄₃)⋊C₉
unambiguous semidirect product	(C₁₇×D₄₃⋊C₉)⋊C₂
unambiguous semidirect product	(D₁₇×C₄₃⋊C₉)⋊C₂
unambiguous semidirect product	(C₁₇⋊(D₄₃⋊C₉))⋊C₂

	subgroup	G/H
center, Frattini, hypercenter	C₃	D₁₇×D₄₃⋊C₃
commutator, hypocenter	C₁₇×C₄₃	C₂²×C₉
Fitting, socle, cosocle	C₃×C₁₇×C₄₃	C₂²×C₃
prime radical	C₃×D₁₇×D₄₃	C₃
LCS	G ▷ C₁₇×C₄₃
UCS	C₁ ◁ C₃

60 conjugacy classes of subgroups.

μ_t(G) = 6579

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26316, 16);