Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C7 ⋊ #2970 |
406 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
Polycyclic presentation:
2^7,7|a^2=f,c^2=f,d^2=e,f^2=g,b^a=be,d^a=dg,h^a=h^6,d^c=dg,h^c=h^6170 conjugacy classes — view the full character table.
| maximal subgroup of | #13249589, #13249593, #13249603, … |
| maximal normal subgroup of | #13249589, #13249593, #13249603, … |
| maximal quotient of | #13352078, #13352086, #13352204, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 14729);