Finite Group DatabasebetaFinite Group Databasebeta| order | 912 |
| isoclinism | isoclinic class of #204 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C19 · Schur multiplier (H2) = C1 |
| direct product | C19×Dic12 |
| Hall | C3×C19 ⋊ Q16 |
| Sylow | C3 ⋊ Q16×C19 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 912 |
285 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14268830, #14268835, #14268836, … |
| maximal normal subgroup of | #14268830, #14268835, #14268836, … |
| maximal quotient of | C19×#818, C19×#816, C2×C19×Dic12 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(912, 78);