Finite Group DatabasebetaFinite Group Databasebeta| order | 34432 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C27×C4 |
| direct product | C2×#31771318 |
| Fitting | C2×#117×C269 ⋊ C2 |
| Sylow | C269 ⋊ C2×#555 |
1240 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17216 |
5410 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34432, 18048);