Finite Group DatabasebetaFinite Group Databasebeta| order | 34016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#30684390 |
| Fitting | C22×C4×C1063 ⋊ C2 |
| Sylow | C1063 ⋊ C2×#41 |
164 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17008 |
8516 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34016, 189);