#31783018

order	17536
automorphism	?
homology	Abelianization (H₁) = C₂³ · Schur multiplier (H₂) = C₄

Aliases

No aliases for this group.

C₁₃₇ ⋊ #2241

140 conjugacy classes of subgroups.

μ_t(G) = 17536

Polycyclic presentation:

2^7,137|a^2=g,b^2=e,c^2=d,d^2=fg,e^2=f,f^2=g,b^a=bd,c^a=ce,d^a=df,e^a=efg,f^a=fg,h^a=h^136,h^b=h^136,h^c=h^136

1534 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17536, 6739);