Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Sylow | C7 ⋊ #1844 |
280 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
Polycyclic presentation:
2^7,7|a^2=f,b^2=d,c^2=e,d^2=g,b^a=bd,c^a=ce,d^a=dg,h^a=h^6236 conjugacy classes — view the full character table.
| maximal subgroup of | #13240968, #13240994, #13240995, … |
| maximal normal subgroup of | #13240968, #13240994, #13240995, … |
| maximal quotient of | #13247534, #13247549, #13247563, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 2284);