Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C139 ⋊ #500 |
98 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,139|a^2=d,b^2=d,c^2=ef,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^b=g^138988 conjugacy classes — view the full character table.
| maximal subgroup of | #31808539, #31808540, #31808544, … |
| maximal normal subgroup of | #31808539, #31808540, #31808544, … |
| maximal quotient of | #31806562, #31807135, #31807136, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 953);