Finite Group DatabasebetaFinite Group Databasebeta| order | 1392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Hall | C3×C29 ⋊ SD16 |
| Sylow | C29 ⋊ #215 |
| Sylow | C3 ⋊ #90773 |
40 conjugacy classes of subgroups.
| minimal degree | μ(G) = 40 |
| transitive degree | μt(G) = 696 |
Polycyclic presentation:
2^4,3,29|a^2=d,b^2=c,c^2=d,b^a=bc,c^a=cd,f^a=f^28,e^b=e^2180 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1392, 19);