#46838236

order	34688
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂²

Aliases

No aliases for this group.

C₂₇₁ ⋊ #2176

148 conjugacy classes of subgroups.

μ_t(G) = 34688

Polycyclic presentation:

2^7,271|a^2=e,b^2=g,c^2=e,d^2=fg,f^2=g,b^a=bd,c^a=cg,d^a=df,f^a=fg,h^a=h^270,d^b=df,f^b=fg,h^b=h^270

5432 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34688, 6382);