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×#204 |
| Fitting | C3×C8×C19 ⋊ C2 |
| Hall | C3×C19 ⋊ SD16 |
| Sylow | C3 ⋊ SD16×C19 |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 456 |
285 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D19×#204, #14269166, #14269172, … |
| maximal normal subgroup of | D19×#204, #14269166, #14269172, … |
| maximal quotient of | C19×#817, C19×#821, C19×#816, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(912, 76);