#26136828

order	12032
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₆ · Schur multiplier (H₂) = C₂²

Aliases

No aliases for this group.

Fitting	C₂×C₄₇×M₆₄ ⋊ C₂
Sylow	C₄₇ ⋊ #13645

204 conjugacy classes of subgroups; only the 89 normal subgroups are shown.

normal subgroups only

This group has 204 conjugacy classes of subgroups — too many to draw. Only its 89 normal subgroups are shown.

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

Polycyclic presentation:

2^8,47|a^2=e,c^2=e,e^2=f,f^2=g,g^2=h,b^a=bd,c^a=ch,i^b=i^46

1952 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 90118);