Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | D7×#418 |
| Fitting | C7×#418 ⋊ C2 |
| Sylow | C7 ⋊ C2×#418 |
1008 conjugacy classes of subgroups.
| transitive degree | μt(G) = 112 |
110 conjugacy classes — view the full character table.
| maximal subgroup of | D7×#1795, D7×#1883, #13355324, … |
| maximal normal subgroup of | D7×#1795, D7×#1883, #13355324, … |
| maximal quotient of | D7×#1478, D7×#1490, #13320234, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 11134);