Finite Group DatabasebetaFinite Group Databasebeta| order | 34164 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2 |
| direct product | C2×#10620321⋊D13 |
| unambiguous semidirect product | (C2×#10620321)⋊D13 |
| derived, Hall | C13×C73 ⋊ C22×C9 |
| Hall | C13×#10620321 ⋊ C22 |
| Hall | C2×D949 ⋊ C9 |
| Hall | #10620321 ⋊ C2×D13 |
| Sylow | C73 ⋊ C2×C9×D13 |
| Sylow | C13 ⋊ C2×#10620321⋊C2 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17082 |
1080 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34164, 64);