C₃×C₁₉⋊C₃×C₁₉₇ #46797695

order	33687
automorphism	?
homology	Abelianization (H₁) = C₃²×C₁₉₇ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃×C₁₉⋊C₃×C₁₉₇
unambiguous semidirect product	C₁₉⋊(C₃²×C₁₉₇)
unambiguous semidirect product	(C₃×C₁₉)⋊(C₃×C₁₉₇)
unambiguous semidirect product	(C₁₉×C₁₉₇)⋊C₃²
unambiguous semidirect product	(C₃×C₁₉×C₁₉₇)⋊C₃

	subgroup	G/H
center, hypercenter	C₃×C₁₉₇	C₁₉⋊C₃
commutator, cosocle, hypocenter	C₁₉	C₃²×C₁₉₇
Frattini	C₁	G
Fitting, socle	C₃×C₁₉×C₁₉₇	C₃
LCS	G ▷ C₁₉
UCS	C₁ ◁ C₃×C₁₉₇

24 conjugacy classes of subgroups.

μ_t(G) = 11229

5319 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33687, 5);