#31906558

order	18176
automorphism	?
homology	Abelianization (H₁) = C₂²×C₈ · Schur multiplier (H₂) = C₂²×C₄

Aliases

No aliases for this group.

602 conjugacy classes of subgroups; only the 131 normal subgroups are shown.

normal subgroups only

This group has 602 conjugacy classes of subgroups — too many to draw. Only its 131 normal subgroups are shown.

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

μ_t(G) = 2272

Polycyclic presentation:

2^8,71|a^2=e,c^2=h,d^2=h,e^2=g,b^a=bd,d^a=df,f^a=fh,i^a=i^70,d^b=dh,e^b=efh,e^d=eh

2012 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18176, 78674);