#29577237

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

Aliases

No aliases for this group.

Fitting	C₆₁×#2967 ⋊ C₂
Sylow	C₆₁ ⋊ #9370

424 conjugacy classes of subgroups; only the 95 normal subgroups are shown.

normal subgroups only

This group has 424 conjugacy classes of subgroups — too many to draw. Only its 95 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,d^2=gh,e^2=h,b^a=bd,c^a=ce,d^a=dg,e^a=egh,i^a=i^60,d^b=dh,e^b=eg,f^b=fh,d^c=dg,e^c=eh,f^c=fg

1357 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 66792);