D₆₁⋊(C₂²⋊C₃₂) #30608256

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃₂ · Schur multiplier (H₂) = C₂⁴

Aliases

D₆₁⋊(C₂²⋊C₃₂)

C₆₁ ⋊ C₂×C₂²⋊C₃₂

342 conjugacy classes of subgroups; only the 118 normal subgroups are shown.

normal subgroups only

This group has 342 conjugacy classes of subgroups — too many to draw. Only its 118 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=e,e^2=f,f^2=g,g^2=h,b^a=bd,i^a=i^11,i^c=i^60,i^e=i^60

1120 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 1097811);