Finite Group DatabasebetaFinite Group Databasebeta| order | 25664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#27165806 |
| unambiguous semidirect product | D401⋊#107 |
| Fitting | C2×C8×C401 ⋊ C4 |
| Sylow | C401 ⋊ C2×#107 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6416 |
1628 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25664, 1558);