Finite Group DatabasebetaFinite Group Databasebeta| order | 1216 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #106×D19 |
| Fitting | C19×#106 ⋊ C2 |
| Sylow | C19 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 608 |
154 conjugacy classes — view the full character table.
| maximal subgroup of | D19×#360, D19×#365, C2×#106×D19, … |
| maximal normal subgroup of | D19×#360, D19×#365, C2×#106×D19, … |
| maximal quotient of | D19×#334, #14562389, #14562404, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1216, 578);