Finite Group DatabasebetaFinite Group Databasebeta| order | 1248 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#10597594 |
| Hall | C3×C13 ⋊ C2×M16 |
| Sylow | C13 ⋊ C2×ΓL(1,𝔽25) |
| Sylow | C3 ⋊ C2×#6094 |
136 conjugacy classes of subgroups.
| transitive degree | μt(G) = 624 |
180 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1248, 599);