C₇₉×C₁₆₃⋊C₃ #50311301

order	38631
automorphism	?
homology	Abelianization (H₁) = C₃×C₇₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇₉×C₁₆₃⋊C₃
unambiguous semidirect product	C₁₆₃⋊(C₃×C₇₉)

Fitting, socle, Hall	C₇₉×C₁₆₃ ⋊ C₃
derived, Sylow	C₁₆₃ ⋊ C₃×C₇₉

	subgroup	G/H
center, hypercenter	C₇₉	C₁₆₃⋊C₃
commutator, cosocle, hypocenter	C₁₆₃	C₃×C₇₉
Frattini	C₁	G
Fitting, socle	C₇₉×C₁₆₃	C₃
LCS	G ▷ C₁₆₃
UCS	C₁ ◁ C₇₉

8 conjugacy classes of subgroups.

μ_t(G) = 12877

4503 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(38631, 2);