Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | D7×#344 |
| Fitting | C7×#344 ⋊ C2 |
| Sylow | C7 ⋊ C2×#344 |
388 conjugacy classes of subgroups.
| transitive degree | μt(G) = 112 |
110 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D7×#344, #13351251, D7×#1757, … |
| maximal normal subgroup of | C2×D7×#344, #13351251, D7×#1757, … |
| maximal quotient of | D7×#1281, #13243425, #13243428, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 1545);