Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C7 ⋊ #2396 |
528 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
Polycyclic presentation:
2^7,7|a^2=f,c^2=f,d^2=e,b^a=be,c^a=cf,c^b=cg,h^c=h^6164 conjugacy classes — view the full character table.
| maximal subgroup of | #13248883, #13248885, #13248888, … |
| maximal normal subgroup of | #13248883, #13248885, #13248888, … |
| maximal quotient of | #13275506, #13275519, #13275540, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 14456);