Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25×C4 |
No aliases for this group.
| Sylow | C7 ⋊ #1437 |
828 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
Polycyclic presentation:
2^7,7|a^2=f,b^2=g,c^2=ef,b^a=bd,c^a=ce,h^b=h^6176 conjugacy classes — view the full character table.
| maximal subgroup of | #13240820, #13240822, #13245307, … |
| maximal normal subgroup of | #13240820, #13240822, #13245307, … |
| maximal quotient of | #13241715, #13241718, #13241720, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 4065);