#29840230

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂⁷×C₄

Aliases

No aliases for this group.

Fitting	C₆₁×#2283 ⋊ C₂
Sylow	C₆₁ ⋊ #34194

3014 conjugacy classes of subgroups.

μ_t(G) = 3904

Polycyclic presentation:

2^8,61|a^2=h,e^2=fg,b^a=bf,c^a=cg,e^a=ef,i^a=i^60,d^b=df,i^b=i^60,i^d=i^60

1768 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 329785);