C₂²⋊#21463204 #44535626

order	31356
automorphism	?
homology	Abelianization (H₁) = C₉ · Schur multiplier (H₂) = C₂

Aliases

	subgroup	G/H
center, Frattini, hypercenter	C₃	C₂²⋊#14579732
commutator, hypocenter	C₂²×C₁₃×C₆₇	C₉
Fitting, socle, prime radical, cosocle	C₂²×C₃×C₁₃×C₆₇	C₃
LCS	G ▷ C₂²×C₁₃×C₆₇
UCS	C₁ ◁ C₃

32 conjugacy classes of subgroups.

μ_t(G) = 15678

Polycyclic presentation:

3,2^2,13,67,3|a^3=f,b^a=c,c^a=bc,d^a=d^3,e^a=e^37

3492 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31356, 62);