#29706920

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁷

Aliases

No aliases for this group.

Fitting	C₆₁×#3449 ⋊ C₂
Sylow	C₆₁ ⋊ #23399

2062 conjugacy classes of subgroups.

μ_t(G) = 1952

Polycyclic presentation:

2^8,61|d^2=h,e^2=h,b^a=be,c^a=cf,e^a=eh,g^a=gh,c^b=cg,e^b=eh,i^b=i^60,e^c=eh

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 196475);