Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C47 ⋊ Q8×#100 |
1198 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=g,b^2=e,d^2=e,g^2=h,b^a=be,c^a=cf,f^a=fh,d^b=de,g^c=gh,i^d=i^46791 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 186126);