Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C7 ⋊ #1398 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
Polycyclic presentation:
2^7,7|a^2=c,b^2=d,c^2=e,e^2=f,f^2=g,b^a=bf,d^a=dg,h^a=h^6,c^b=cg164 conjugacy classes — view the full character table.
| maximal subgroup of | #13241131, #13241132, #13241133, … |
| maximal normal subgroup of | #13241131, #13241132, #13241133, … |
| maximal quotient of | #13241126, #13241129, #13241485, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 91);