Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×C19⋊#338 |
| unambiguous semidirect product | (C2×C19)⋊#338 |
| Sylow | C19 ⋊ C2×#338 |
372 conjugacy classes of subgroups.
| transitive degree | μt(G) = 608 |
404 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #18069673, #18069675, #18069679, … |
| maximal normal subgroup of | #18069673, #18069675, #18069679, … |
| maximal quotient of | C2×#14561465, C2×#14561466, #18071957, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 4213);