Finite Group DatabasebetaFinite Group Databasebeta| order | 2352 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3 · Schur multiplier (H2) = C7 |
| direct product | SD16×#3862 |
| Fitting, Hall | C72×SD16 ⋊ C3 |
| Sylow | C72 ⋊ C3×SD16 |
100 conjugacy classes of subgroups.
| transitive degree | μt(G) = 168 |
133 conjugacy classes — view the full character table.
| maximal subgroup of | SD16×#64425, AGL(1,ℤ/8)×#3862, #72245253, … |
| maximal normal subgroup of | SD16×#64425, AGL(1,ℤ/8)×#3862, #72245253, … |
Past the SmallGroups library coverage — no SmallGroups id.