Finite Group DatabasebetaFinite Group Databasebeta| order | 1760 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×Q8×D55 |
| Fitting | C2×C5×Q8×C11 ⋊ C2 |
| Hall | C5×C11 ⋊ C22×Q8 |
| Sylow | C11 ⋊ C2×Q8×D5 |
| Sylow | C5 ⋊ C2×Q8×D11 |
312 conjugacy classes of subgroups.
| transitive degree | μt(G) = 880 |
290 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1760, 1256);