#29597971

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂×C₄

Aliases

No aliases for this group.

Fitting	C₂×C₆₁×#347 ⋊ C₂
Sylow	C₆₁ ⋊ #13153

328 conjugacy classes of subgroups; only the 99 normal subgroups are shown.

normal subgroups only

This group has 328 conjugacy classes of subgroups — too many to draw. Only its 99 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

μ_t(G) = 3904

Polycyclic presentation:

2^8,61|a^2=f,b^2=dfg,c^2=d,d^2=g,e^2=g,g^2=h,b^a=bd,c^a=ce,d^a=dg,e^a=eg,g^a=gh,i^a=i^60,c^b=cg,d^b=dh,e^b=eh,f^b=fh,f^c=fh

1354 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 87526);