Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C42 |
| direct product | D19×#376 |
| Fitting | C19×#376 ⋊ C2 |
| Sylow | C19 ⋊ C2×#376 |
840 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
440 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D19×#1274, #18071939, D19×#1300, … |
| maximal normal subgroup of | D19×#1274, #18071939, D19×#1300, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 6835);