Finite Group DatabasebetaFinite Group Databasebeta| order | 34432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C4×#22575428 |
| Fitting | C4×C4⋊C4×C269 ⋊ C2 |
| Sylow | C269 ⋊ C4×#121 |
824 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17216 |
5416 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34432, 7025);