Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Sylow | C47 ⋊ #14442 |
1650 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=h,c^2=efg,d^2=ef,b^a=be,c^a=cf,d^a=def,c^b=cg,d^b=de,i^d=i^461076 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 97995);