C₂×#126×C₂₉₃ #34035789

order	18752
nilpotency class	2
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₂₉₃ · Schur multiplier (H₂) = C₂⁴

Aliases

C₂×#126×C₂₉₃

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

246 conjugacy classes of subgroups.

μ_t(G) = 9376

8204 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18752, 209);