Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C2×C47×#392 ⋊ C2 |
| Sylow | C47 ⋊ #18162 |
1704 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|e^2=g,b^a=be,c^a=cf,e^a=eg,d^b=dg,e^b=eg,f^b=fh,i^b=i^46,e^c=eh1052 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 142196);