#26383088

order	12032
automorphism	?
homology	Abelianization (H₁) = C₂⁵ · Schur multiplier (H₂) = C₂⁷

Aliases

No aliases for this group.

Fitting	C₄₇×#2296 ⋊ C₂
Sylow	C₄₇ ⋊ #34592

1752 conjugacy classes of subgroups.

Polycyclic presentation:

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

1352 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 336378);