Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | D7×#440 |
| Fitting | C7×#440 ⋊ C2 |
| Sylow | C7 ⋊ C2×#440 |
544 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
110 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D7×#440, D7×#2943, C4×D7×AGL(1,ℤ/8), … |
| maximal normal subgroup of | C2×D7×#440, D7×#2943, C4×D7×AGL(1,ℤ/8), … |
| maximal quotient of | D7×SD16⋊C8, D7×#1585, D7×#1588, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 11982);