Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | Dic7×#123 |
| Sylow | C7 ⋊ C4×#123 |
688 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
140 conjugacy classes — view the full character table.
| maximal subgroup of | Dic7×#352, #13269762, Dic7×#458, … |
| maximal normal subgroup of | Dic7×#352, #13269762, Dic7×#458, … |
| maximal quotient of | Dic7×#386, Dic7×#388, Dic7×#385, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 15046);