Finite Group DatabasebetaFinite Group Databasebeta| order | 1488 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Hall | C3×C31 ⋊ SD16 |
| Sylow | C31 ⋊ #204 |
| Sylow | C3 ⋊ #92481 |
40 conjugacy classes of subgroups.
| minimal degree | μ(G) = 42 |
| transitive degree | μt(G) = 744 |
Polycyclic presentation:
2^4,3,31|a^2=c,b^2=d,c^2=d,b^a=bcd,f^a=f^30,c^b=cd,e^b=e^2150 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1488, 37);