Finite Group DatabasebetaFinite Group Databasebeta| order | 1248 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C3×C13×D8 ⋊ C2 |
| Hall | C3×C13 ⋊ #135 |
| Sylow | C13 ⋊ #912 |
| Sylow | C3 ⋊ #88166 |
124 conjugacy classes of subgroups.
| transitive degree | μt(G) = 624 |
Polycyclic presentation:
2^5,3,13|d^2=e,b^a=be,c^a=ce,f^a=f^2,g^a=g^12,c^b=cd,d^b=de,d^c=de147 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1248, 1086);