Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Dic7×Q32 |
| Sylow | C7 ⋊ C4×Q32 |
150 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
110 conjugacy classes — view the full character table.
| maximal subgroup of | #13274372, Dic7×SD64, #13274379, … |
| maximal normal subgroup of | #13274372, Dic7×SD64, #13274379, … |
| maximal quotient of | Q32×C7⋊C8, #13265713, #13265787, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 4015);