#29595442

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂×C₄² · Schur multiplier (H₂) = C₂×C₄

Aliases

No aliases for this group.

292 conjugacy classes of subgroups.

μ_t(G) = 1952

Polycyclic presentation:

2^8,61|a^2=e,b^2=f,c^2=de,d^2=gh,e^2=g,f^2=h,g^2=h,b^a=bd,c^a=cg,d^a=dh,i^a=i^60,d^b=dg,e^b=egh,g^b=gh,d^c=dh,e^c=eh

1366 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 84997);