Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#11927347 |
| Fitting | C2×C19×H(5,𝔽2) ⋊ C2 |
| Sylow | C19 ⋊ C2×#576 |
1512 conjugacy classes of subgroups.
| transitive degree | μt(G) = 608 |
350 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 19261);