#26368917

order	12032
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄×C₈ · Schur multiplier (H₂) = C₂⁴×C₄

Aliases

No aliases for this group.

Fitting	C₄×M₃₂×C₄₇ ⋊ C₂
Sylow	C₄₇ ⋊ #33324

826 conjugacy classes of subgroups.

Polycyclic presentation:

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

1976 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 322207);