C₂×C₄⋊Q₈×C₂₉₃ #34035792

order	18752
nilpotency class	2
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₂₉₃ · Schur multiplier (H₂) = C₂⁵

Aliases

C₂×C₄⋊Q₈×C₂₉₃

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

290 conjugacy classes of subgroups.

μ_t(G) = 18752

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18752, 212);