#30754115

order	17152
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂²

Aliases

No aliases for this group.

C₆₇ ⋊ #9557

394 conjugacy classes of subgroups.

μ_t(G) = 17152

Polycyclic presentation:

2^8,67|a^2=f,b^2=df,c^2=d,d^2=g,e^2=g,f^2=h,b^a=bd,c^a=ce,d^a=dg,e^a=eg,c^b=ch,i^b=i^66,i^c=i^66

1912 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17152, 67852);