Finite Group DatabasebetaFinite Group Databasebeta| order | 17728 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#22579819 |
| Fitting | C2×C16×C277 ⋊ C2 |
| Sylow | C277 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8864 |
4456 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #47981306, C4×#22579819, #47984760, … |
| maximal normal subgroup of | #47981306, C4×#22579819, #47984760, … |
| maximal quotient of | C2×#31799777, C4×#22579819, C2×#31799781, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17728, 963);