C₇²×D₉×C₁₉ #30660628

order	16758
isoclinism	isoclinic class of D₉
automorphism	?
homology	Abelianization (H₁) = C₂×C₇²×C₁₉ · Schur multiplier (H₂) = C₇

Aliases

direct product	C₇²×D₉×C₁₉
unambiguous semidirect product	C₉⋊(C₂×C₇²×C₁₉)

	subgroup	G/H
center, hypercenter	C₇²×C₁₉	D₉
commutator, cosocle, hypocenter	C₉	C₂×C₇²×C₁₉
Frattini	C₃	D₃×C₇²×C₁₉
Fitting	C₇²×C₉×C₁₉	C₂
socle	C₃×C₇²×C₁₉	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₇²×C₁₉

120 conjugacy classes of subgroups.

μ_t(G) = 8379

5586 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16758, 155);