Finite Group DatabasebetaFinite Group Databasebeta| order | 912 |
| isoclinism | isoclinic class of #213 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C19 · Schur multiplier (H2) = C1 |
| direct product | C19×#214 |
| Hall | C3×C19 ⋊ SD16 |
| Sylow | C3 ⋊ SD16×C19 |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 456 |
228 conjugacy classes — view the full character table.
| maximal subgroup of | D19×#214, #14269401, #14269404, … |
| maximal normal subgroup of | D19×#214, #14269401, #14269404, … |
| maximal quotient of | C19×#808, C19×#810, C19×#832, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(912, 86);