#25095146

order	11008
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁴×C₄

Aliases

No aliases for this group.

Fitting	C₄₃×#1726 ⋊ C₂
Sylow	C₄₃ ⋊ #20508

1206 conjugacy classes of subgroups; only the 403 normal subgroups are shown.

normal subgroups only

This group has 1206 conjugacy classes of subgroups — too many to draw. Only its 403 normal subgroups are shown.

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

Polycyclic presentation:

2^8,43|a^2=f,b^2=g,c^2=g,d^2=fh,e^2=h,b^a=be,c^a=ch,d^a=dh,e^a=eh,i^a=i^42,e^b=eh,i^b=i^42,d^c=dh

1768 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 168117);