Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | #108×C139 ⋊ C2 |
| Sylow | C139 ⋊ #472 |
108 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,139|b^2=df,d^2=f,e^2=f,b^a=bd,c^a=ce,d^a=df,e^a=ef,g^a=g^138,e^c=ef,g^c=g^138982 conjugacy classes — view the full character table.
| maximal subgroup of | #31808362, #31808364, #31808369, … |
| maximal normal subgroup of | #31808362, #31808364, #31808369, … |
| maximal quotient of | #31805760, #31805765, #31805804, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 820);