Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | D7×#322 |
| Fitting | C7×#322 ⋊ C2 |
| Sylow | C7 ⋊ C2×#322 |
248 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
200 conjugacy classes — view the full character table.
| maximal subgroup of | D7×#1313, #13262795, #13262847, … |
| maximal normal subgroup of | D7×#1313, #13262795, #13262847, … |
| maximal quotient of | Dic7×#322, D7×#1273, #13244218, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 586);