Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C47×#1729 ⋊ C2 |
| Sylow | C47 ⋊ #20839 |
1458 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=g,b^2=g,g^2=h,b^a=be,c^a=cf,d^a=dh,i^a=i^46,i^b=i^46,d^c=dh,i^c=i^461364 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 170269);