Finite Group DatabasebetaFinite Group Databasebeta| order | 1248 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C2×C3×C4×C13 ⋊ C4 |
| Hall | C3×C13 ⋊ #95 |
| Sylow | C13 ⋊ C3⋊#95 |
| Sylow | C3 ⋊ (C2×#261)⋊C4 |
152 conjugacy classes of subgroups.
| transitive degree | μt(G) = 312 |
Polycyclic presentation:
2^5,3,13|a^2=c,b^2=d,b^a=be,f^a=f^2,g^a=g^8,g^c=g^12108 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1248, 488);