C₇×C₁₉×D₇₃ #34085182

order	19418
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇×C₁₉×D₇₃
unambiguous semidirect product	C₇₃⋊(C₂×C₇×C₁₉)

	subgroup	G/H
center, hypercenter	C₇×C₁₉	D₇₃
commutator, cosocle, hypocenter	C₇₃	C₂×C₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₇×C₁₉×C₇₃	C₂
LCS	G ▷ C₇₃
UCS	C₁ ◁ C₇×C₁₉

16 conjugacy classes of subgroups.

μ_t(G) = 9709

5054 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19418, 2);