Finite Group DatabasebetaFinite Group Databasebeta| order | 912 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3 · Schur multiplier (H2) = C22 |
| direct product | C3×Q8×D19 |
| Fitting | C3×Q8×C19 ⋊ C2 |
| Hall | C3×C19 ⋊ C2×Q8 |
| Sylow | C19 ⋊ C2×C3×Q8 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 456 |
165 conjugacy classes — view the full character table.
| maximal subgroup of | D19×#215, D19×#216, #14269430, … |
| maximal normal subgroup of | D19×#215, D19×#216, #14269430, … |
| maximal quotient of | C3×#10597333, C3×#10597342, C3×#10597335, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(912, 179);