#28383950

order	14272
automorphism	?
homology	Abelianization (H₁) = C₂³ · Schur multiplier (H₂) = C₄

Aliases

No aliases for this group.

C₂₂₃ ⋊ #491

90 conjugacy classes of subgroups.

μ_t(G) = 14272

Polycyclic presentation:

2^6,223|a^2=f,b^2=ef,c^2=d,d^2=f,e^2=f,b^a=bd,c^a=ce,d^a=df,e^a=ef,g^a=g^222,c^b=cf,g^b=g^222,g^c=g^222

1570 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14272, 919);