Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| isoclinism | isoclinic class of D112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#89301 |
| Sylow | C7 ⋊ C2×#368 |
144 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
236 conjugacy classes — view the full character table.
| maximal subgroup of | #13241498, #13241499, #13241500, … |
| maximal normal subgroup of | #13241498, #13241499, #13241500, … |
| maximal quotient of | C2×#11725306, C2×#11725307, #13265381, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 3925);