C₇×C₁₉×C₇₃⋊C₃ #44415206

order	29127
automorphism	?
homology	Abelianization (H₁) = C₃×C₇×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇×C₁₉×C₇₃⋊C₃
unambiguous semidirect product	C₇₃⋊(C₃×C₇×C₁₉)

	subgroup	G/H
center, hypercenter	C₇×C₁₉	C₇₃⋊C₃
commutator, cosocle, hypocenter	C₇₃	C₃×C₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₇×C₁₉×C₇₃	C₃
LCS	G ▷ C₇₃
UCS	C₁ ◁ C₇×C₁₉

16 conjugacy classes of subgroups.

μ_t(G) = 9709

3591 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29127, 2);