Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C42 |
| direct product | D7×#376 |
| Fitting | C7×#376 ⋊ C2 |
| Sylow | C7 ⋊ C2×#376 |
840 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
200 conjugacy classes — view the full character table.
| maximal subgroup of | D7×#1274, #13243196, D7×#1300, … |
| maximal normal subgroup of | D7×#1274, #13243196, D7×#1300, … |
| maximal quotient of | C4×D7×#95, C4×#89420, Dic7×#376, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 5622);