Finite Group DatabasebetaFinite Group Databasebeta| order | 4448 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C22⋊C4×C139 ⋊ C2 |
| Sylow | C139 ⋊ #123 |
78 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2224 |
Polycyclic presentation:
2^5,139|c^2=d,b^a=bd,c^a=ce,f^a=f^138,f^c=f^138704 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4448, 130);