C₂×#401×C₂₉₃ #49155407

order	37504
nilpotency class	2
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₂₉₃ · Schur multiplier (H₂) = C₂⁵

Aliases

C₂×#401×C₂₉₃

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

516 conjugacy classes of subgroups.

μ_t(G) = 37504

12892 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37504, 1132);