Finite Group DatabasebetaFinite Group Databasebeta| order | 17536 |
| automorphism | ? |
| homology | Abelianization (H1) = C42×C8 · Schur multiplier (H2) = C43 |
| direct product | C42×#11764049 |
| unambiguous semidirect product | #10587739⋊(C4×C8) |
| Fitting | C42×C137 ⋊ C8 |
| derived, Sylow | C137 ⋊ C42×C8 |
408 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2192 |
400 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17536, 21642);