Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | #117×C139 ⋊ C2 |
| Sylow | C139 ⋊ #416 |
158 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,139|a^2=e,c^2=f,d^2=f,b^a=bd,d^a=df,d^b=df,g^b=g^1381408 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31806238, #31806243, #31806245, … |
| maximal normal subgroup of | #31806238, #31806243, #31806245, … |
| maximal quotient of | #31804784, #31804810, #31804836, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 543);