#24987294

order	11008
automorphism	?
homology	Abelianization (H₁) = C₂×C₄² · Schur multiplier (H₂) = C₂×C₄

Aliases

No aliases for this group.

Fitting	C₄₃×#1452 ⋊ C₂
Sylow	C₄₃ ⋊ #8188

412 conjugacy classes of subgroups; only the 143 normal subgroups are shown.

normal subgroups only

This group has 412 conjugacy classes of subgroups — too many to draw. Only its 143 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=e,b^2=f,c^2=e,d^2=g,e^2=g,f^2=h,b^a=bd,c^a=ch,d^a=dg,f^a=fg,i^a=i^42,c^b=cg,i^b=i^42

1240 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 60265);