Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Fitting | C22×C22⋊Q8×C47 ⋊ C2 |
| Sylow | C47 ⋊ #36716 |
2406 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=g,b^2=f,c^2=f,b^a=bf,c^a=cg,d^a=df,e^a=efh,i^a=i^46,c^b=ch,d^b=dfh1340 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 376523);