#123×C₄₃₃ #28357104

order	13856
nilpotency class	2
isoclinism	isoclinic class of #120
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄₃₃ · Schur multiplier (H₂) = C₂²

Aliases

	subgroup	G/H
center, socle	C₂²×C₄₃₃	C₂³
commutator, Frattini, cosocle	C₂²	C₂³×C₄₃₃
prime radical	C₂×D₄×C₄₃₃	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₄₃₃ ◁ G

78 conjugacy classes of subgroups.

μ_t(G) = 6928

6062 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13856, 30);