Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×C4×#14523971 |
| Fitting | C2×C43×C67 ⋊ C2 |
| Sylow | C67 ⋊ C2×C4×#104 |
1878 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4288 |
4336 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 167279);