Finite Group DatabasebetaFinite Group Databasebeta| order | 1216 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×C19⋊#95 |
| unambiguous semidirect product | (C2×C19)⋊#95 |
| Sylow | C19 ⋊ C2×#95 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
328 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14561477, #14561513, #14561515, … |
| maximal normal subgroup of | #14561477, #14561513, #14561515, … |
| maximal quotient of | C4×C19⋊#95, #14561857, #14561858, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1216, 393);