#30595067

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₆ · Schur multiplier (H₂) = C₁

Aliases

No aliases for this group.

C₆₁ ⋊ #7459

92 conjugacy classes of subgroups.

μ_t(G) = 1952

Polycyclic presentation:

2^8,61|a^2=d,b^2=ce,c^2=eh,d^2=f,e^2=h,f^2=g,g^2=h,b^a=bc,c^a=ce,e^a=eh,i^a=i^11,i^b=i^60,i^d=i^60

1048 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 1084622);