Finite Group DatabasebetaFinite Group Databasebeta| order | 27008 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C32×C211 ⋊ C2 |
| Sylow | C211 ⋊ C22⋊C32 |
82 conjugacy classes of subgroups.
| transitive degree | μt(G) = 13504 |
Polycyclic presentation:
2^7,211|a^2=d,d^2=e,e^2=f,f^2=g,b^a=bc,h^b=h^2106800 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(27008, 2647);