Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#90465 |
| Fitting | C2×C7×AGL(1,ℤ/8) ⋊ C2 |
| Sylow | C7 ⋊ C2×#576 |
1512 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
110 conjugacy classes — view the full character table.
| maximal subgroup of | #13369697, #13369724, #13369773, … |
| maximal normal subgroup of | #13369697, #13369724, #13369773, … |
| maximal quotient of | C2×#11736327, C2×#11736370, C2×#11736655, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 19024);