Finite Group DatabasebetaFinite Group Databasebeta| order | 19648 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#23754249 |
| Fitting | C22×Q8×C307 ⋊ C2 |
| Sylow | C307 ⋊ C2×#124 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9824 |
3088 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19648, 1067);