Finite Group DatabasebetaFinite Group Databasebeta| order | 30656 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×C479⋊#95 |
| unambiguous semidirect product | (C2×C479)⋊#95 |
| Sylow | C479 ⋊ C2×#95 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 30656 |
7688 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30656, 393);