#29572487

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂⁴

Aliases

No aliases for this group.

C₆₁ ⋊ #8512

652 conjugacy classes of subgroups.

μ_t(G) = 3904

Polycyclic presentation:

2^8,61|a^2=f,c^2=h,d^2=h,e^2=g,b^a=bd,c^a=ce,d^a=dg,e^a=eg,i^a=i^60,d^b=dh,e^b=egh,f^b=fgh,d^c=dgh,e^c=eg

1180 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 62042);