Finite Group DatabasebetaFinite Group Databasebeta| order | 19072 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C32 · Schur multiplier (H2) = C4 |
| direct product | C4×#18011961 |
| derived, Sylow | C149 ⋊ C4×C32 |
72 conjugacy classes of subgroups.
| transitive degree | μt(G) = 19072 |
1312 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19072, 19614);