Finite Group DatabasebetaFinite Group Databasebeta| order | 27008 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C211 ⋊ #1558 |
228 conjugacy classes of subgroups.
| transitive degree | μt(G) = 13504 |
Polycyclic presentation:
2^7,211|a^2=e,b^2=g,d^2=g,e^2=fg,b^a=bd,c^a=cg,d^a=df,h^a=h^210,d^b=dg,e^b=efg2966 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(27008, 3236);