Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C47×#2127 ⋊ C2 |
| Sylow | C47 ⋊ #33551 |
1326 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|b^a=be,c^a=cf,g^a=gh,i^a=i^46,d^b=dh,f^b=fgh,i^b=i^46,e^c=eg,i^c=i^46,f^e=fh563 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 323632);