Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C7 ⋊ #1818 |
292 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
Polycyclic presentation:
2^7,7|a^2=f,c^2=d,f^2=g,b^a=bd,c^a=ce,h^a=h^6,c^b=cg164 conjugacy classes — view the full character table.
| maximal subgroup of | #13241116, #13241120, #13245975, … |
| maximal normal subgroup of | #13241116, #13241120, #13245975, … |
| maximal quotient of | #13247131, #13247134, #13247137, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 4104);