Finite Group DatabasebetaFinite Group Databasebeta| order | 3008 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C47 ⋊ #380 |
234 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1504 |
Polycyclic presentation:
2^6,47|a^2=f,b^2=d,b^a=bd,c^a=ce,g^a=g^46764 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3008, 409);