Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C2×C47×#336 ⋊ C2 |
| Sylow | C47 ⋊ #7678 |
630 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=e,c^2=g,d^2=g,e^2=h,b^a=bd,c^a=cf,d^a=df,c^b=ch,d^b=dg,e^b=efg,i^b=i^461898 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 58010);