C₂×C₇×D₉×C₁₉ #18012145

order	4788
isoclinism	isoclinic class of D₉
automorphism	?
homology	Abelianization (H₁) = C₂²×C₇×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₇×D₉×C₁₉
unambiguous semidirect product	C₉⋊(C₂²×C₇×C₁₉)
unambiguous semidirect product	(C₂×C₉)⋊(C₂×C₇×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₇×C₁₉	D₉
commutator, cosocle, hypocenter	C₉	C₂²×C₇×C₁₉
Frattini	C₃	C₂×D₃×C₇×C₁₉
Fitting	C₂×C₇×C₉×C₁₉	C₂
socle	C₂×C₃×C₇×C₁₉	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₂×C₇×C₁₉

60 conjugacy classes of subgroups.

μ_t(G) = 2394

1596 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4788, 61);