Finite Group DatabasebetaFinite Group Databasebeta| order | 912 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C19 · Schur multiplier (H2) = C22 |
| direct product | D3×Q8×C19 |
| Fitting | C3×Q8×C19 ⋊ C2 |
| Hall | C3×C19 ⋊ C2×Q8 |
| Sylow | C3 ⋊ C2×Q8×C19 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 456 |
285 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D3×#64527, D3×#64528, #14269435, … |
| maximal normal subgroup of | D3×#64527, D3×#64528, #14269435, … |
| maximal quotient of | C19×#887, C19×#896, C19×#888, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(912, 189);