Finite Group DatabasebetaFinite Group Databasebeta| order | 912 |
| isoclinism | isoclinic class of Dic6 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C19 · Schur multiplier (H2) = C2 |
| direct product | C19×C4⋊Dic3 |
| unambiguous semidirect product | C4⋊(Dic3×C19) |
| Hall | C3×C19 ⋊ C4⋊C4 |
| Sylow | C3 ⋊ C4⋊C4×C19 |
52 conjugacy classes of subgroups.
| transitive degree | μt(G) = 912 |
342 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14268854, #14268859, #14268860, … |
| maximal normal subgroup of | #14268854, #14268859, #14268860, … |
| maximal quotient of | C19×C4⋊(C3⋊C8), C19×#817, C19×#818, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(912, 83);