Finite Group DatabasebetaFinite Group Databasebeta| order | 912 |
| isoclinism | isoclinic class of #213 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C19 · Schur multiplier (H2) = C2 |
| direct product | C19×#213 |
| Fitting | C3×D4×C19 ⋊ C2 |
| Hall | C3×C19 ⋊ D8 |
| Sylow | C3 ⋊ D8×C19 |
44 conjugacy classes of subgroups.
| transitive degree | μt(G) = 456 |
228 conjugacy classes — view the full character table.
| maximal subgroup of | D19×#213, #14269395, #14269398, … |
| maximal normal subgroup of | D19×#213, #14269395, #14269398, … |
| maximal quotient of | C19×#807, C19×#809, C19×#826, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(912, 85);