#31888487

order	18176
automorphism	?
homology	Abelianization (H₁) = C₂×C₄² · Schur multiplier (H₂) = C₂×C₄

Aliases

No aliases for this group.

C₇₁ ⋊ #8246

376 conjugacy classes of subgroups.

μ_t(G) = 9088

Polycyclic presentation:

2^8,71|a^2=e,b^2=f,c^2=eh,d^2=g,e^2=g,f^2=h,b^a=bd,d^a=dg,f^a=fgh,i^a=i^70,c^b=ch,d^b=dh,i^b=i^70,i^c=i^70

1394 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18176, 60603);