Finite Group DatabasebetaFinite Group Databasebeta| order | 912 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3 · Schur multiplier (H2) = C1 |
| direct product | SD16×C19⋊C3 |
| unambiguous semidirect product | (SD16×C19)⋊C3 |
| Fitting, Hall | SD16×C19 ⋊ C3 |
| Sylow | C19 ⋊ C3×SD16 |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 152 |
63 conjugacy classes — view the full character table.
| maximal subgroup of | SD16×D19⋊C3, #10597360⋊C3, #10597361⋊C3, … |
| maximal normal subgroup of | SD16×D19⋊C3, #10597360⋊C3, #10597361⋊C3, … |
| maximal quotient of | #102×C19⋊C3, #103×C19⋊C3, #106×C19⋊C3, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(912, 54);