#26379121

order	12032
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂⁷×C₄

Aliases

No aliases for this group.

Fitting	C₄₇×#2331 ⋊ C₂
Sylow	C₄₇ ⋊ #34367

2510 conjugacy classes of subgroups.

Polycyclic presentation:

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

1088 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 332411);