Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Sylow | C47 ⋊ #21779 |
1270 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=g,c^2=h,g^2=h,b^a=be,c^a=cf,d^a=de,e^a=eh,i^a=i^46,c^b=ce,f^b=fh,g^b=gh,g^d=gh1058 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 178738);