Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Fitting | C23×M16×C47 ⋊ C2 |
| Sylow | C47 ⋊ #20896 |
1898 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=g,b^2=eg,g^2=h,b^a=be,c^a=cf,d^a=dh,i^a=i^46,c^b=ch1904 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 170704);