Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C7 ⋊ #2349 |
704 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
Polycyclic presentation:
2^7,7|a^2=g,c^2=ef,b^a=be,c^a=cf,h^a=h^6,d^b=de170 conjugacy classes — view the full character table.
| maximal subgroup of | #13247339, #13247343, #13247344, … |
| maximal normal subgroup of | #13247339, #13247343, #13247344, … |
| maximal quotient of | #13275229, #13275242, D4×C7⋊#95, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 14544);