Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C139 ⋊ #492 |
142 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,139|b^2=d,c^2=e,d^2=f,b^a=bd,c^a=ce,d^a=df,g^b=g^138988 conjugacy classes — view the full character table.
| maximal subgroup of | #31804568, #31805474, #31805475, … |
| maximal normal subgroup of | #31804568, #31805474, #31805475, … |
| maximal quotient of | #31805990, #31805993, #31805998, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 921);