Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Sylow | C47 ⋊ #34214 |
2310 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=h,b^2=gh,c^2=g,e^2=f,b^a=bf,c^a=cg,e^a=ef,i^a=i^46,d^b=df,i^b=i^461376 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 330020);