C₃×C₁₃⋊C₃×C₁₉₇ #37527936

order	23049
automorphism	?
homology	Abelianization (H₁) = C₃²×C₁₉₇ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃×C₁₃⋊C₃×C₁₉₇
unambiguous semidirect product	C₁₃⋊(C₃²×C₁₉₇)
unambiguous semidirect product	(C₃×C₁₃)⋊(C₃×C₁₉₇)
unambiguous semidirect product	(C₁₃×C₁₉₇)⋊C₃²
unambiguous semidirect product	(C₃×C₁₃×C₁₉₇)⋊C₃

	subgroup	G/H
center, hypercenter	C₃×C₁₉₇	C₁₃⋊C₃
commutator, cosocle, hypocenter	C₁₃	C₃²×C₁₉₇
Frattini	C₁	G
Fitting, socle	C₃×C₁₃×C₁₉₇	C₃
LCS	G ▷ C₁₃
UCS	C₁ ◁ C₃×C₁₉₇

24 conjugacy classes of subgroups.

μ_t(G) = 7683

4137 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23049, 4);