Finite Group DatabasebetaFinite Group Databasebeta| order | 912 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3 · Schur multiplier (H2) = C1 |
| direct product | Q16×C19⋊C3 |
| unambiguous semidirect product | (Q16×C19)⋊C3 |
| Fitting, Hall | Q16×C19 ⋊ C3 |
| Sylow | C19 ⋊ C3×Q16 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 304 |
63 conjugacy classes — view the full character table.
| maximal subgroup of | #10597285⋊C3, #10597286⋊C3, SD32×C19⋊C3, … |
| maximal normal subgroup of | #10597285⋊C3, #10597286⋊C3, SD32×C19⋊C3, … |
| maximal quotient of | #103×C19⋊C3, #107×C19⋊C3, C2×Q16×C19⋊C3 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(912, 55);