Finite Group DatabasebetaFinite Group Databasebeta| order | 912 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4 · Schur multiplier (H2) = C2 |
| direct product | C4⋊C4×C19⋊C3 |
| unambiguous semidirect product | C4⋊(C4×C19⋊C3) |
| unambiguous semidirect product | (C4⋊C4×C19)⋊C3 |
| Fitting, Hall | C4⋊C4×C19 ⋊ C3 |
| Sylow | C19 ⋊ C3×C4⋊C4 |
52 conjugacy classes of subgroups.
| transitive degree | μt(G) = 304 |
90 conjugacy classes — view the full character table.
| maximal subgroup of | #10597264⋊C3, #10597265⋊C3, #10597266⋊C3, … |
| maximal normal subgroup of | #10597264⋊C3, #10597265⋊C3, #10597266⋊C3, … |
| maximal quotient of | #95×C19⋊C3, C4⋊C8×C19⋊C3, #106×C19⋊C3, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(912, 50);