Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| isoclinism | isoclinic class of #89314 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#89315 |
| Sylow | C7 ⋊ C2×SD64 |
112 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
104 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#89315, #13274378, #13274384, … |
| maximal normal subgroup of | C4×#89315, #13274378, #13274384, … |
| maximal quotient of | C2×#11725630, C2×#11725384, C2×#11725382, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 3979);