Finite Group DatabasebetaFinite Group Databasebeta| order | 912 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4 · Schur multiplier (H2) = C2 |
| unambiguous semidirect product | ((C19⋊C3)⋊C4)⋊C4 |
| unambiguous semidirect product | (Dic19⋊C4)⋊C3 |
| Hall | Dic19⋊C4 ⋊ C3 |
| Hall | C19⋊C3 ⋊ C4⋊C4 |
| Sylow | C19 ⋊ C3×C4⋊C4 |
52 conjugacy classes of subgroups.
| transitive degree | μt(G) = 304 |
Polycyclic presentation:
2^2,3,2^2,19|a^2=e,b^2=d,b^a=be,f^a=f^18,f^c=f^754 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(912, 15);