#26318755

order	12032
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁴

Aliases

No aliases for this group.

Fitting	C₄₇×#2922 ⋊ C₂
Sylow	C₄₇ ⋊ #29386

654 conjugacy classes of subgroups.

Polycyclic presentation:

2^8,47|b^2=e,d^2=g,e^2=h,f^2=h,b^a=be,c^a=cf,d^a=de,e^a=eh,f^a=fh,g^a=gh,i^a=i^46,c^b=cg,f^b=fh,f^c=fh

1334 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 272045);