#26377023

order	12032
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂⁸

Aliases

No aliases for this group.

Fitting	C₄₇×#2351 ⋊ C₂
Sylow	C₄₇ ⋊ #34235

2238 conjugacy classes of subgroups.

Polycyclic presentation:

2^8,47|a^2=h,b^2=h,d^2=f,e^2=fg,b^a=bf,c^a=cg,e^a=ef,d^b=df,i^c=i^46,i^d=i^46,i^e=i^46

1238 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 330313);