#29574753

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂³

Aliases

No aliases for this group.

C₆₁ ⋊ #8974

516 conjugacy classes of subgroups.

μ_t(G) = 15616

Polycyclic presentation:

2^8,61|a^2=f,b^2=df,c^2=g,d^2=g,e^2=h,f^2=g,b^a=bd,c^a=ce,i^a=i^60,d^b=dg,e^b=eh,f^b=fg,d^c=dh,e^c=eh,f^c=fh

1552 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 64308);