Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| isoclinism | isoclinic class of D112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#89299 |
| Sylow | C7 ⋊ C2×#366 |
168 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
236 conjugacy classes — view the full character table.
| maximal subgroup of | #13241496, #13241497, #13241514, … |
| maximal normal subgroup of | #13241496, #13241497, #13241514, … |
| maximal quotient of | C2×#11725306, #13265438, #13265477, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 3922);