#396×C₂₉₃ #34035657

order	18752
nilpotency class	2
automorphism	?
homology	Abelianization (H₁) = C₂³×C₂₉₃ · Schur multiplier (H₂) = C₂³

Aliases

	subgroup	G/H
center, socle	C₂³×C₂₉₃	C₂³
commutator, Frattini, cosocle	C₂³	C₂³×C₂₉₃
prime radical	C₂⁴×C₂₉₃	C₂²
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₂₉₃ ◁ G

186 conjugacy classes of subgroups.

μ_t(G) = 9376

6446 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18752, 77);