Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C4⋊C8×C139 ⋊ C2 |
| Sylow | C139 ⋊ #476 |
108 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,139|a^2=df,b^2=d,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^138,e^c=ef,g^c=g^1381399 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31805521, #31805522, #31805532, … |
| maximal normal subgroup of | #31805521, #31805522, #31805532, … |
| maximal quotient of | #31806405, #31806668, #31806990, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 840);