#29585072

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂³ · Schur multiplier (H₂) = C₂×C₄

Aliases

No aliases for this group.

426 conjugacy classes of subgroups.

μ_t(G) = 15616

Polycyclic presentation:

2^8,61|a^2=dg,b^2=de,c^2=g,d^2=g,e^2=g,f^2=h,b^a=bd,c^a=ce,i^a=i^60,c^b=cf,d^b=dg,e^b=eg,f^b=fh,d^c=dg,e^c=eg,f^c=fh

1372 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 74627);