Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#89349 |
| Sylow | C7 ⋊ C2×#343 |
432 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
164 conjugacy classes — view the full character table.
| maximal subgroup of | Dic7×#343, C4×#89349, #13259062, … |
| maximal normal subgroup of | Dic7×#343, C4×#89349, #13259062, … |
| maximal quotient of | C2×#11725480, #13243392, #13243395, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 4506);