#31891844

order	18176
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂²

Aliases

No aliases for this group.

C₇₁ ⋊ #8916

354 conjugacy classes of subgroups.

μ_t(G) = 9088

Polycyclic presentation:

2^8,71|a^2=f,b^2=f,d^2=g,e^2=gh,f^2=g,b^a=bd,c^a=ce,d^a=dg,e^a=egh,i^a=i^70,d^b=dg,e^b=eh,i^b=i^70,d^c=dh,e^c=egh

1370 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18176, 63960);