Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C7 ⋊ #2323 |
556 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
Polycyclic presentation:
2^7,7|a^2=g,b^2=g,d^2=e,b^a=be,c^a=cf,d^a=de,h^a=h^6,c^b=ce,h^b=h^6128 conjugacy classes — view the full character table.
| maximal subgroup of | #13359531, #13359535, #13359561, … |
| maximal normal subgroup of | #13359531, #13359535, #13359561, … |
| maximal quotient of | #13275046, #13275085, #13275108, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 14955);