#26110953

order	12032
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂³

Aliases

No aliases for this group.

Fitting	C₄₇×#2975 ⋊ C₂
Sylow	C₄₇ ⋊ #8963

694 conjugacy classes of subgroups; only the 123 normal subgroups are shown.

normal subgroups only

This group has 694 conjugacy classes of subgroups — too many to draw. Only its 123 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=f,b^2=dfg,d^2=g,f^2=h,b^a=bd,c^a=ce,e^a=eg,i^a=i^46,c^b=ch,d^b=dg,e^b=eg,f^b=fg,d^c=dg,f^c=fg

1064 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 64243);