#29832575

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂²×C₄³

Aliases

No aliases for this group.

Fitting	C₆₁×#1726 ⋊ C₂
Sylow	C₆₁ ⋊ #33309

1386 conjugacy classes of subgroups; only the 331 normal subgroups are shown.

normal subgroups only

This group has 1386 conjugacy classes of subgroups — too many to draw. Only its 331 normal subgroups are shown.

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

μ_t(G) = 7808

Polycyclic presentation:

2^8,61|a^2=h,b^2=eh,c^2=f,d^2=g,e^2=h,b^a=be,c^a=cf,d^a=dg,e^a=eh,i^a=i^60,d^c=dh

2452 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 322130);