#26121682

order	12032
automorphism	?
homology	Abelianization (H₁) = C₂×C₄² · Schur multiplier (H₂) = C₂⁶

Aliases

No aliases for this group.

Fitting	C₂×C₄₇×#344 ⋊ C₂
Sylow	C₄₇ ⋊ #10757

1168 conjugacy classes of subgroups.

Polycyclic presentation:

2^8,47|a^2=f,b^2=g,f^2=h,g^2=h,b^a=bd,c^a=ce,d^a=dh,g^a=gh,i^a=i^46,d^b=dh,e^b=eh,f^b=fh,d^c=dh,i^c=i^46

1070 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 74972);