Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | C4×#16863183 |
| Sylow | C67 ⋊ C4×AΣL(1,𝔽16) |
844 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2144 |
1900 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 84700);