C₁₉×D₉₄₇ #49112709

order	35986
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₉×D₉₄₇
unambiguous semidirect product	C₉₄₇⋊(C₂×C₁₉)

Fitting, socle, Hall	C₁₉×C₉₄₇ ⋊ C₂
derived, Sylow	C₉₄₇ ⋊ C₂×C₁₉

	subgroup	G/H
center, hypercenter	C₁₉	D₉₄₇
commutator, cosocle, hypocenter	C₉₄₇	C₂×C₁₉
Frattini	C₁	G
Fitting, socle	C₁₉×C₉₄₇	C₂
LCS	G ▷ C₉₄₇
UCS	C₁ ◁ C₁₉

8 conjugacy classes of subgroups.

μ_t(G) = 17993

9025 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35986, 2);