Finite Group DatabasebetaFinite Group Databasebeta| order | 4448 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | M16×C139 ⋊ C2 |
| Sylow | C139 ⋊ #137 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2224 |
Polycyclic presentation:
2^5,139|b^2=e,d^2=e,b^a=bd,c^a=ce,d^a=de,f^a=f^138,d^b=de,f^b=f^138701 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4448, 179);