C₂×C₁₉×D₇₃⋊C₃ #30659129

order	16644
isoclinism	isoclinic class of D₇₃⋊C₃
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₁₉×D₇₃⋊C₃
unambiguous semidirect product	D₇₃⋊(C₂×C₃×C₁₉)
unambiguous semidirect product	(C₇₃⋊C₃)⋊(C₂²×C₁₉)
unambiguous semidirect product	(C₂×D₇₃)⋊(C₃×C₁₉)
unambiguous semidirect product	(C₂×C₇₃⋊C₃)⋊(C₂×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₁₉	D₇₃⋊C₃
commutator, cosocle, hypocenter	C₇₃	C₂²×C₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₁₉×C₇₃	C₂×C₃
LCS	G ▷ C₇₃
UCS	C₁ ◁ C₂×C₁₉

40 conjugacy classes of subgroups.

μ_t(G) = 2774

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16644, 38);