D₇×C₁₉×C₇₃ #34085185

order	19418
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉×C₇₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₇×C₁₉×C₇₃
unambiguous semidirect product	C₇⋊(C₂×C₁₉×C₇₃)

	subgroup	G/H
center, hypercenter	C₁₉×C₇₃	D₇
commutator, cosocle, hypocenter	C₇	C₂×C₁₉×C₇₃
Frattini	C₁	G
Fitting, socle	C₇×C₁₉×C₇₃	C₂
LCS	G ▷ C₇
UCS	C₁ ◁ C₁₉×C₇₃

16 conjugacy classes of subgroups.

μ_t(G) = 9709

6935 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19418, 5);