Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C139 ⋊ #480 |
114 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,139|c^2=d,e^2=f,b^a=bd,c^a=ce,e^a=ef,e^c=ef,g^c=g^138985 conjugacy classes — view the full character table.
| maximal subgroup of | #31805390, #31805391, #31805401, … |
| maximal normal subgroup of | #31805390, #31805391, #31805401, … |
| maximal quotient of | #31806488, #31806591, #31806722, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 860);