Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C47 ⋊ #11422 |
528 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=e,d^2=h,e^2=g,g^2=h,b^a=bd,d^a=df,i^a=i^46,c^b=ch,d^b=dh,e^b=efh1352 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 78643);